메뉴 건너뛰기




Volumn , Issue , 2006, Pages 1-349

Discrete cosine and sine transforms: General properties, fast algorithms and integer approximations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85134385928     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-0-12-373624-6.X5000-0     Document Type: Book
Times cited : (40)

References (343)
  • 7
    • 0003934036 scopus 로고    scopus 로고
    • CRC & IEEE Press, Boca Raton, FL, A.D. Poularikas (Ed.)
    • The Transforms and Applications Handbook 1996, CRC & IEEE Press, Boca Raton, FL. A.D. Poularikas (Ed.).
    • (1996) The Transforms and Applications Handbook
  • 10
    • 0025530239 scopus 로고
    • Direct methods for computing discrete sinusoidal transforms
    • Chan S.C., Ho K.L. Direct methods for computing discrete sinusoidal transforms. IEE Proceedings-Radar and Signal Processing December 1990, Vol. 137:433-442. Part F, No. 6.
    • (1990) IEE Proceedings-Radar and Signal Processing , vol.137 , Issue.6 , pp. 433-442
    • Chan, S.C.1    Ho, K.L.2
  • 11
    • 0025792509 scopus 로고
    • A unified systolic array for discrete cosine and sine transforms
    • Chang L.-W., Wu M.-C. A unified systolic array for discrete cosine and sine transforms. IEEE Transactions on Signal Processing January 1991, Vol. 39:192-194.
    • (1991) IEEE Transactions on Signal Processing , vol.39 , pp. 192-194
    • Chang, L.-W.1    Wu, M.-C.2
  • 12
    • 0026307072 scopus 로고
    • Regular FFT-related transform kernels for DCT/DST-based polyphase filter banks
    • Gluth R. Regular FFT-related transform kernels for DCT/DST-based polyphase filter banks. Proceedings of the IEEE ICASSP'91, Toronto, Canada May 1991, 2205-2208.
    • (1991) Proceedings of the IEEE ICASSP'91, Toronto, Canada , pp. 2205-2208
    • Gluth, R.1
  • 13
    • 0026908923 scopus 로고
    • New fast algorithms for the computation of discrete cosine and sine transforms
    • Cvetkovi Z., Popovi M.V. New fast algorithms for the computation of discrete cosine and sine transforms. IEEE Transactions on Signal Processing August 1992, Vol. 40(No. 8):2083-2086.
    • (1992) IEEE Transactions on Signal Processing , vol.40 , Issue.8 , pp. 2083-2086
    • Cvetkovi, Z.1    Popovi, M.V.2
  • 14
    • 0027245215 scopus 로고
    • On a novel decomposition of the DCT and its application
    • Rama Murthy N., Swamy M.N.S. On a novel decomposition of the DCT and its application. IEEE Transactions on Signal Processing January 1993, Vol. 41(No. 1):480-485.
    • (1993) IEEE Transactions on Signal Processing , vol.41 , Issue.1 , pp. 480-485
    • Rama Murthy, N.1    Swamy, M.N.S.2
  • 15
    • 0028393318 scopus 로고
    • A comparative review of real and complex Fourier-related transforms
    • Ersoy O.K. A comparative review of real and complex Fourier-related transforms. Proceedings of the IEEE March 1994, Vol. 82:429-447. No. 3.
    • (1994) Proceedings of the IEEE , vol.82 , Issue.3 , pp. 429-447
    • Ersoy, O.K.1
  • 16
    • 0028420066 scopus 로고
    • A set of new fast algorithms for DCTs and DSTs
    • Kuma P.S., Prabhu K.M.M. A set of new fast algorithms for DCTs and DSTs. International Journal of Electronics April 1994, Vol. 76(No. 4):553-568.
    • (1994) International Journal of Electronics , vol.76 , Issue.4 , pp. 553-568
    • Kuma, P.S.1    Prabhu, K.M.M.2
  • 17
    • 0028468177 scopus 로고
    • Restructured recursive DCT and DST algorithms
    • Lee P.Z., Huang F.-Y. Restructured recursive DCT and DST algorithms. IEEE Transactions on Signal Processing July 1994, Vol. 42(No. 7):1600-1609.
    • (1994) IEEE Transactions on Signal Processing , vol.42 , Issue.7 , pp. 1600-1609
    • Lee, P.Z.1    Huang, F.-Y.2
  • 18
    • 0029308539 scopus 로고
    • On the on-line computation of DCT-IV and DST-IV transforms
    • Rama Murthy N., Swamy M.N.S. On the on-line computation of DCT-IV and DST-IV transforms. IEEE Transactions on Signal Processing May 1995, Vol. 43(No. 5):1249-1251.
    • (1995) IEEE Transactions on Signal Processing , vol.43 , Issue.5 , pp. 1249-1251
    • Rama Murthy, N.1    Swamy, M.N.S.2
  • 19
    • 0029388098 scopus 로고
    • Unified array architecture for DCT/DST and their inverses
    • Guo J., Chen C., Jen C.-W. Unified array architecture for DCT/DST and their inverses. Electronics Letters 1995, Vol. 31(No. 21):1811-1812.
    • (1995) Electronics Letters , vol.31 , Issue.21 , pp. 1811-1812
    • Guo, J.1    Chen, C.2    Jen, C.-W.3
  • 20
    • 0012357035 scopus 로고
    • A unified discrete cosine and discrete sine transform computation
    • Britanak V. A unified discrete cosine and discrete sine transform computation. Signal Processing May 1995, Vol. 43(No. 3):333-339.
    • (1995) Signal Processing , vol.43 , Issue.3 , pp. 333-339
    • Britanak, V.1
  • 21
    • 0030085613 scopus 로고    scopus 로고
    • On the computation of the length-2m discrete cosine and sine transforms via permuted difference coefficient
    • Wei C.-H., Chen C.-F. On the computation of the length-2m discrete cosine and sine transforms via permuted difference coefficient. IEEE Transactions on Signal Processing February 1996, Vol. 44(No. 2):387-396.
    • (1996) IEEE Transactions on Signal Processing , vol.44 , Issue.2 , pp. 387-396
    • Wei, C.-H.1    Chen, C.-F.2
  • 22
    • 0030245364 scopus 로고    scopus 로고
    • Neural network based real-time computation of DCTs and DSTs
    • Li W.S., Wang Z.S., He Z.Y. Neural network based real-time computation of DCTs and DSTs. Electronics Letters September 1996, Vol. 32(No. 19):1795-1796.
    • (1996) Electronics Letters , vol.32 , Issue.19 , pp. 1795-1796
    • Li, W.S.1    Wang, Z.S.2    He, Z.Y.3
  • 24
    • 0342665821 scopus 로고    scopus 로고
    • Unified systolic array for fast computation of the discrete cosine transform, discrete sine transform and discrete Hartley transform
    • Pan S.B., Park R.-H. Unified systolic array for fast computation of the discrete cosine transform, discrete sine transform and discrete Hartley transform. Optical Engineering December 1997, Vol. 36(No. 12):3439-3444.
    • (1997) Optical Engineering , vol.36 , Issue.12 , pp. 3439-3444
    • Pan, S.B.1    Park, R.-H.2
  • 26
    • 0033116740 scopus 로고    scopus 로고
    • Architecture-oriented regular algorithms for discrete sine and cosine transforms
    • Astola J., Akopian D. Architecture-oriented regular algorithms for discrete sine and cosine transforms. IEEE Transactions on Signal Processing April 1999, Vol. 47(No. 4):1109-1124.
    • (1999) IEEE Transactions on Signal Processing , vol.47 , Issue.4 , pp. 1109-1124
    • Astola, J.1    Akopian, D.2
  • 27
    • 0035452239 scopus 로고    scopus 로고
    • A VLSI array architecture for realization of DFT, DHT, DCT, and DST
    • Maharatna K., Dhar A.S., Banerjee S. A VLSI array architecture for realization of DFT, DHT, DCT, and DST. Signal Processing September 2001, Vol. 81(No. 9):1813-1822.
    • (2001) Signal Processing , vol.81 , Issue.9 , pp. 1813-1822
    • Maharatna, K.1    Dhar, A.S.2    Banerjee, S.3
  • 29
    • 0037254863 scopus 로고    scopus 로고
    • Mapping of discrete cosine transform (DCT) and discrete sine transform (DST) based on symmetries
    • Poornachandra S., Ravichandran V., Kumaravel N. Mapping of discrete cosine transform (DCT) and discrete sine transform (DST) based on symmetries. IETE Journal of Research January to February 2003, Vol. 49(No. 1):35-42.
    • (2003) IETE Journal of Research , vol.49 , Issue.1 , pp. 35-42
    • Poornachandra, S.1    Ravichandran, V.2    Kumaravel, N.3
  • 31
    • 2942553782 scopus 로고    scopus 로고
    • Fast algorithms for the computation of sliding discrete sinusoidal transforms
    • Kober V. Fast algorithms for the computation of sliding discrete sinusoidal transforms. IEEE Transactions on Signal Processing June 2004, Vol. 52(No. 6):1704-1710.
    • (2004) IEEE Transactions on Signal Processing , vol.52 , Issue.6 , pp. 1704-1710
    • Kober, V.1
  • 32
    • 28244449265 scopus 로고    scopus 로고
    • Discrete cosine and sine transforms-regular algorithms and pipeline architectures
    • Nikara J.A., Takala J.H., Astola J.T. Discrete cosine and sine transforms-regular algorithms and pipeline architectures. Signal Processing February 2006, Vol. 86(No. 2):230-249.
    • (2006) Signal Processing , vol.86 , Issue.2 , pp. 230-249
    • Nikara, J.A.1    Takala, J.H.2    Astola, J.T.3
  • 34
    • 0025429852 scopus 로고
    • On the algorithms for the computation of even discrete cosine transform-2 (EDCT-2) of real sequences
    • Rama Murthy N., Swamy M.N.S. On the algorithms for the computation of even discrete cosine transform-2 (EDCT-2) of real sequences. IEEE Transactions on Circuits and Systems May 1990, Vol. 37(No. 5):625-627.
    • (1990) IEEE Transactions on Circuits and Systems , vol.37 , Issue.5 , pp. 625-627
    • Rama Murthy, N.1    Swamy, M.N.S.2
  • 35
    • 0025493183 scopus 로고
    • Fast cosine transform based on the successive doubling method
    • Arguello F., Zapata E.L. Fast cosine transform based on the successive doubling method. Electronics Letters September 1990, Vol. 26(No. 19):1616-1618.
    • (1990) Electronics Letters , vol.26 , Issue.19 , pp. 1616-1618
    • Arguello, F.1    Zapata, E.L.2
  • 36
    • 0026170719 scopus 로고
    • Relationship between two algorithms for discrete cosine transform
    • Wang Z., Jullien G.A. Relationship between two algorithms for discrete cosine transform. Electronics Letters June 1991, Vol. 27(No. 3):1114-1115.
    • (1991) Electronics Letters , vol.27 , Issue.3 , pp. 1114-1115
    • Wang, Z.1    Jullien, G.A.2
  • 37
    • 0026173787 scopus 로고
    • A new algorithm to compute the DCT and its inverse
    • Li W. A new algorithm to compute the DCT and its inverse. IEEE Transactions on Signal Processing June 1991, Vol. 39(No. 6):1305-1313.
    • (1991) IEEE Transactions on Signal Processing , vol.39 , Issue.6 , pp. 1305-1313
    • Li, W.1
  • 38
    • 0026190368 scopus 로고
    • A direct computation of DCT coefficients for a signal block taken from two adjacent blocks
    • Kou W., Fjallbrant T. A direct computation of DCT coefficients for a signal block taken from two adjacent blocks. IEEE Transactions on Signal Processing July 1991, Vol. 39(No. 7):1692-1695.
    • (1991) IEEE Transactions on Signal Processing , vol.39 , Issue.7 , pp. 1692-1695
    • Kou, W.1    Fjallbrant, T.2
  • 39
    • 0026241916 scopus 로고
    • Efficient input-reordering algorithms for fast DCT
    • Skodras A.N., Constantinides A.G. Efficient input-reordering algorithms for fast DCT. Electronics Letters October 1991, Vol. 27(No. 21):1973-1975.
    • (1991) Electronics Letters , vol.27 , Issue.21 , pp. 1973-1975
    • Skodras, A.N.1    Constantinides, A.G.2
  • 40
    • 0026622465 scopus 로고
    • Fixed-pointround-off error analysis for the discrete cosine transform
    • Yao J.C., Hsu C.Y. Fixed-pointround-off error analysis for the discrete cosine transform. International Journal of Electronics January 1992, Vol. 72(No. 1):45-55.
    • (1992) International Journal of Electronics , vol.72 , Issue.1 , pp. 45-55
    • Yao, J.C.1    Hsu, C.Y.2
  • 45
    • 0028427089 scopus 로고
    • Comparative performance of fast cosine transform with fixed-point round-off error analysis
    • Hsu C.Y., Yao J.C. Comparative performance of fast cosine transform with fixed-point round-off error analysis. IEEE Transactions on Signal Processing May 1994, Vol. 42(No. 5):1256-1259.
    • (1994) IEEE Transactions on Signal Processing , vol.42 , Issue.5 , pp. 1256-1259
    • Hsu, C.Y.1    Yao, J.C.2
  • 46
    • 0028549058 scopus 로고
    • On the computation of discrete cosine transform
    • Britanak V. On the computation of discrete cosine transform. Signal Processing November 1994, Vol. 40(No. 2-3):183-194.
    • (1994) Signal Processing , vol.40 , Issue.2-3 , pp. 183-194
    • Britanak, V.1
  • 48
    • 0030213974 scopus 로고    scopus 로고
    • Efficient input reordering for the DCT based on a real-valued decimation-in-time FFT
    • Storn R. Efficient input reordering for the DCT based on a real-valued decimation-in-time FFT. IEEE Signal Processing Letters August 1996, Vol. 3(No. 8):242-244.
    • (1996) IEEE Signal Processing Letters , vol.3 , Issue.8 , pp. 242-244
    • Storn, R.1
  • 49
    • 0032046275 scopus 로고    scopus 로고
    • Fast DCT algorithm with fewer multiplication stages
    • Jeong Y., Lee I., Kim H.S., Park K.T. Fast DCT algorithm with fewer multiplication stages. Electronics Letters April 1998, Vol. 34(No. 8):723-724.
    • (1998) Electronics Letters , vol.34 , Issue.8 , pp. 723-724
    • Jeong, Y.1    Lee, I.2    Kim, H.S.3    Park, K.T.4
  • 50
    • 0032679918 scopus 로고    scopus 로고
    • Fast recursive algorithms for short-time discrete cosine transform
    • Kober V., Cristobal G. Fast recursive algorithms for short-time discrete cosine transform. Electronics Letters July 1999, Vol. 35(No. 15):1236-1238.
    • (1999) Electronics Letters , vol.35 , Issue.15 , pp. 1236-1238
    • Kober, V.1    Cristobal, G.2
  • 52
    • 0032677485 scopus 로고    scopus 로고
    • Direct transform to transform to transform computation
    • Skodras A.N. Direct transform to transform to transform computation. IEEE Signal Processing Letters August 1999, Vol. 6(No. 8):202-204.
    • (1999) IEEE Signal Processing Letters , vol.6 , Issue.8 , pp. 202-204
    • Skodras, A.N.1
  • 54
    • 0034294399 scopus 로고    scopus 로고
    • Fast discrete cosine transform structure suitable for implementation with integer computation
    • Jeong Y., Lee I. Fast discrete cosine transform structure suitable for implementation with integer computation. Optical Engineering October 2000, Vol. 39(No. 10):2672-2676.
    • (2000) Optical Engineering , vol.39 , Issue.10 , pp. 2672-2676
    • Jeong, Y.1    Lee, I.2
  • 56
    • 0035452271 scopus 로고    scopus 로고
    • Two new algorithms based on product system for discrete cosine transform
    • Guo Z., Shi B., Wang N. Two new algorithms based on product system for discrete cosine transform. Signal Processing September 2001, Vol. 81(No. 9):1899-1908.
    • (2001) Signal Processing , vol.81 , Issue.9 , pp. 1899-1908
    • Guo, Z.1    Shi, B.2    Wang, N.3
  • 57
    • 0035500769 scopus 로고    scopus 로고
    • DCT hardware structure for sequentially presented data
    • Tan T.C., Bi G., Zeng Y., Tan H.N. DCT hardware structure for sequentially presented data. Signal Processing November 2001, Vol. 81(No. 11):2333-2342.
    • (2001) Signal Processing , vol.81 , Issue.11 , pp. 2333-2342
    • Tan, T.C.1    Bi, G.2    Zeng, Y.3    Tan, H.N.4
  • 58
    • 0038481491 scopus 로고    scopus 로고
    • Efficient multiplier structure for realization of the discrete cosine transform
    • Chau L.-P., Siu W.C. Efficient multiplier structure for realization of the discrete cosine transform. Signal Processing: Image Communications August 2003, Vol. 18(No. 7):527-536.
    • (2003) Signal Processing: Image Communications , vol.18 , Issue.7 , pp. 527-536
    • Chau, L.-P.1    Siu, W.C.2
  • 59
    • 0142059802 scopus 로고    scopus 로고
    • Fast algorithm for discrete cosine transform (DCT)-domain image downsampling using Winograd DCTs
    • Kim D., Choe Y. Fast algorithm for discrete cosine transform (DCT)-domain image downsampling using Winograd DCTs. Optical Engineering September 2003, Vol. 42(No. 9):2485-2486.
    • (2003) Optical Engineering , vol.42 , Issue.9 , pp. 2485-2486
    • Kim, D.1    Choe, Y.2
  • 60
    • 0025385120 scopus 로고
    • Fast discrete sine transform algorithms
    • Wang Z. Fast discrete sine transform algorithms. Signal Processing February 1990, Vol. 19(No. 2):91-102.
    • (1990) Signal Processing , vol.19 , Issue.2 , pp. 91-102
    • Wang, Z.1
  • 62
    • 0026108404 scopus 로고
    • An efficient FFT algorithm based on the discrete sine transform
    • Gupta A., Rao K.R. An efficient FFT algorithm based on the discrete sine transform. IEEE Transactions on Signal Processing February 1991, Vol. 39(No. 2):486-490.
    • (1991) IEEE Transactions on Signal Processing , vol.39 , Issue.2 , pp. 486-490
    • Gupta, A.1    Rao, K.R.2
  • 63
    • 0026895658 scopus 로고
    • New approach for fast sine transform
    • Yao J.C., Hsu C.-Y. New approach for fast sine transform. Electronics Letters July 1992, Vol. 28(No. 15):1398-1399.
    • (1992) Electronics Letters , vol.28 , Issue.15 , pp. 1398-1399
    • Yao, J.C.1    Hsu, C.-Y.2
  • 64
    • 0027641854 scopus 로고
    • Comparative performance of discrete sine transforms with fixed-point round-off error analysis
    • Yao J.C., Hsu C.-Y. Comparative performance of discrete sine transforms with fixed-point round-off error analysis. International Journal of Electronics August 1993, Vol. 75(No. 7):209-222.
    • (1993) International Journal of Electronics , vol.75 , Issue.7 , pp. 209-222
    • Yao, J.C.1    Hsu, C.-Y.2
  • 65
    • 0028542970 scopus 로고
    • Further results on new fast recursive algorithms for the discrete cosine and sine transforms
    • Yao J.C., Hsu C.-Y. Further results on new fast recursive algorithms for the discrete cosine and sine transforms. IEEE Transactions on Signal Processing November 1994, Vol. 42(No. 11):3254-3255.
    • (1994) IEEE Transactions on Signal Processing , vol.42 , Issue.11 , pp. 3254-3255
    • Yao, J.C.1    Hsu, C.-Y.2
  • 66
    • 0028548984 scopus 로고
    • Recursive algorithm for discrete sine transform with regular structure
    • Wang Z., Jullien G.A., Miller W.C. Recursive algorithm for discrete sine transform with regular structure. Electronics Letters November 1994, Vol. 24(No. 30):2011-2013.
    • (1994) Electronics Letters , vol.24 , Issue.30 , pp. 2011-2013
    • Wang, Z.1    Jullien, G.A.2    Miller, W.C.3
  • 67
    • 0037028315 scopus 로고    scopus 로고
    • Fast recursive algorithm from sliding discrete sine transform
    • Kober V. Fast recursive algorithm from sliding discrete sine transform. Electronics Letters December 2002, Vol. 38(No. 25):1747-1748.
    • (2002) Electronics Letters , vol.38 , Issue.25 , pp. 1747-1748
    • Kober, V.1
  • 68
    • 0027649220 scopus 로고
    • An expanded 2-D DCT algorithm based on convolution
    • Kang S.S., Lee M.H. An expanded 2-D DCT algorithm based on convolution. IEEE Transactions on Consumer Electronics August 1993, Vol. 39(No. 3):159-165.
    • (1993) IEEE Transactions on Consumer Electronics , vol.39 , Issue.3 , pp. 159-165
    • Kang, S.S.1    Lee, M.H.2
  • 69
    • 0007277118 scopus 로고
    • A generalized signal flow graph for the 2-D DCT computation
    • Bristanak V. A generalized signal flow graph for the 2-D DCT computation. Applied Signal Processing February 1994, Vol. 1(No. 2):76-93.
    • (1994) Applied Signal Processing , vol.1 , Issue.2 , pp. 76-93
    • Bristanak, V.1
  • 74
    • 0032098860 scopus 로고    scopus 로고
    • Algorithm for cosine transform of Toeplitz matrices
    • Arguello F., Trenas M.A., Lopez J., Zapata E.L. Algorithm for cosine transform of Toeplitz matrices. Electronics Letters June 1998, Vol. 34(No. 12):1182-1183.
    • (1998) Electronics Letters , vol.34 , Issue.12 , pp. 1182-1183
    • Arguello, F.1    Trenas, M.A.2    Lopez, J.3    Zapata, E.L.4
  • 75
    • 0032676582 scopus 로고    scopus 로고
    • Recursive fast computation of the two-dimensional discrete cosine transform
    • Fang W.-H., Hu N.-C., Shih S.-K. Recursive fast computation of the two-dimensional discrete cosine transform. IEE Proceedings-Vision Image and Signal Processing February 1999, Vol. 146:25-33. No. 1.
    • (1999) IEE Proceedings-Vision Image and Signal Processing , vol.146 , Issue.1 , pp. 25-33
    • Fang, W.-H.1    Hu, N.-C.2    Shih, S.-K.3
  • 76
    • 0032664462 scopus 로고    scopus 로고
    • One- and two-dimensional constant geometry fast cosine transform algorithms and architectures
    • Kwak J., You J. One- and two-dimensional constant geometry fast cosine transform algorithms and architectures. IEEE Transactions on Signal Processing July 1999, Vol. 47(No. 7):2023-2034.
    • (1999) IEEE Transactions on Signal Processing , vol.47 , Issue.7 , pp. 2023-2034
    • Kwak, J.1    You, J.2
  • 78
    • 0034275469 scopus 로고    scopus 로고
    • Fast recursive algorithms for 2-D discrete cosine transform
    • Tan T.C., Bi G., Tan H.N. Fast recursive algorithms for 2-D discrete cosine transform. Signal Processing September 2000, Vol. 80(No. 9):1917-1935.
    • (2000) Signal Processing , vol.80 , Issue.9 , pp. 1917-1935
    • Tan, T.C.1    Bi, G.2    Tan, H.N.3
  • 79
    • 0034504745 scopus 로고    scopus 로고
    • A serial-parallel architecture for two-dimensional discrete cosine and inverse discrete cosine transforms
    • Lim H., Piuri V., Swartzlander E.E. A serial-parallel architecture for two-dimensional discrete cosine and inverse discrete cosine transforms. IEEE Transactions on Computers December 2000, Vol. 49(No. 12):1297-1309.
    • (2000) IEEE Transactions on Computers , vol.49 , Issue.12 , pp. 1297-1309
    • Lim, H.1    Piuri, V.2    Swartzlander, E.E.3
  • 81
    • 0035424842 scopus 로고    scopus 로고
    • On computing the two-dimensional (2-D) type IV discrete cosine transform (2-D DCT-IV)
    • Cheng L.Z. On computing the two-dimensional (2-D) type IV discrete cosine transform (2-D DCT-IV). IEEE Signal Processing Letters August 2001, Vol. 8(No. 8):239-241.
    • (2001) IEEE Signal Processing Letters , vol.8 , Issue.8 , pp. 239-241
    • Cheng, L.Z.1
  • 82
    • 0035509467 scopus 로고    scopus 로고
    • A new hardware-efficient algorithm and architecture for computation of 2-D DCTs on a linear array
    • Hsiao S.-F., Shiue W.-R. A new hardware-efficient algorithm and architecture for computation of 2-D DCTs on a linear array. IEEE Transactions on Circuits and Systems for Video Technology November 2001, Vol. 11(No. 11):1149-1159.
    • (2001) IEEE Transactions on Circuits and Systems for Video Technology , vol.11 , Issue.11 , pp. 1149-1159
    • Hsiao, S.-F.1    Shiue, W.-R.2
  • 83
    • 0036544024 scopus 로고    scopus 로고
    • New matrix formulation for two-dimensional DCT/IDCT computation and its distributed-memory VLSI implementation
    • Hsiao S.-F., Tseng J.-M. New matrix formulation for two-dimensional DCT/IDCT computation and its distributed-memory VLSI implementation. IEE Proceedings-Vision Image and Signal Processing April 2002, Vol. 149:97-107. No. 2.
    • (2002) IEE Proceedings-Vision Image and Signal Processing , vol.149 , Issue.2 , pp. 97-107
    • Hsiao, S.-F.1    Tseng, J.-M.2
  • 85
    • 7544249731 scopus 로고    scopus 로고
    • Direct splitting and merging of 2-D DCT in the DCT domain
    • Chuang Y.-J., Wu J.-L. Direct splitting and merging of 2-D DCT in the DCT domain. Digital Signal Processing November 2004, Vol. 14(No. 6):614-624.
    • (2004) Digital Signal Processing , vol.14 , Issue.6 , pp. 614-624
    • Chuang, Y.-J.1    Wu, J.-L.2
  • 89
    • 0033896427 scopus 로고    scopus 로고
    • A new multidimensional recursive architecture for computing the discrete cosine transform
    • Elnaggar A., Alnuweiri H.M. A new multidimensional recursive architecture for computing the discrete cosine transform. IEEE Transactions on Circuits and Systems for Video Technology February 2000, Vol. 10(No. 1):113-119.
    • (2000) IEEE Transactions on Circuits and Systems for Video Technology , vol.10 , Issue.1 , pp. 113-119
    • Elnaggar, A.1    Alnuweiri, H.M.2
  • 90
    • 0034298957 scopus 로고    scopus 로고
    • New polynomial transform algorithm for multidimensional DCT
    • Zeng Y., Bi G., Leyman A.R. New polynomial transform algorithm for multidimensional DCT. IEEE Transactions on Signal Processing October 2000, Vol. 48(No. 10):2814-2821.
    • (2000) IEEE Transactions on Signal Processing , vol.48 , Issue.10 , pp. 2814-2821
    • Zeng, Y.1    Bi, G.2    Leyman, A.R.3
  • 93
    • 0035447954 scopus 로고    scopus 로고
    • Prime factor algorithm for multidimensional discrete cosine transform
    • Bi B., Zeng Y., Chen Y.Q. Prime factor algorithm for multidimensional discrete cosine transform. IEEE Transactions on Signal Processing September 2001, Vol. 49(No. 9):2156-2161.
    • (2001) IEEE Transactions on Signal Processing , vol.49 , Issue.9 , pp. 2156-2161
    • Bi, B.1    Zeng, Y.2    Chen, Y.Q.3
  • 94
    • 0037058261 scopus 로고    scopus 로고
    • Fast unified computation of the multidimensional discrete sinusoidal transforms
    • Cheng L.Z., Wang Z., Zhang Z.H. Fast unified computation of the multidimensional discrete sinusoidal transforms. Applied Mathematics and Computation November 2002, Vol. 132(No. 2-3):455-487.
    • (2002) Applied Mathematics and Computation , vol.132 , Issue.2-3 , pp. 455-487
    • Cheng, L.Z.1    Wang, Z.2    Zhang, Z.H.3
  • 95
    • 0036180149 scopus 로고    scopus 로고
    • Combined polynomial transform and radix-q algorithm for multi-dimensional DCT-III
    • Zeng Y., Bi G., Lin Z.P. Combined polynomial transform and radix-q algorithm for multi-dimensional DCT-III. Multidimensional Systems and Signal Processing January 2002, Vol. 13(No. 1):79-99.
    • (2002) Multidimensional Systems and Signal Processing , vol.13 , Issue.1 , pp. 79-99
    • Zeng, Y.1    Bi, G.2    Lin, Z.P.3
  • 96
    • 0346316944 scopus 로고    scopus 로고
    • Fast computation of MD-DCT-IV/MD-DST-IV by MD-DWT or MD-DCT-II
    • Zeng Y., Lin Z., Bi G., Cheng L. Fast computation of MD-DCT-IV/MD-DST-IV by MD-DWT or MD-DCT-II. SIAM Journal of Scientific Computing 2003, Vol. 24(No. 6):1903-1918.
    • (2003) SIAM Journal of Scientific Computing , vol.24 , Issue.6 , pp. 1903-1918
    • Zeng, Y.1    Lin, Z.2    Bi, G.3    Cheng, L.4
  • 98
    • 0024751470 scopus 로고
    • Efficient index mapping for computing discrete cosine transform
    • Chan S.-C., Siu W.-C. Efficient index mapping for computing discrete cosine transform. Electronics Letters October 1989, Vol. 25(No. 22):1499-1500.
    • (1989) Electronics Letters , vol.25 , Issue.22 , pp. 1499-1500
    • Chan, S.-C.1    Siu, W.-C.2
  • 100
    • 0025385370 scopus 로고
    • Algorithm for prime length discrete cosine transform
    • Chan Y.-H., Siu W.-C. Algorithm for prime length discrete cosine transform. Electronics Letters February 1990, Vol. 26(No. 3):206-208.
    • (1990) Electronics Letters , vol.26 , Issue.3 , pp. 206-208
    • Chan, Y.-H.1    Siu, W.-C.2
  • 101
    • 0025517054 scopus 로고
    • Systolic architectures for the computation of the discrete Hartley and the discrete cosine transforms based on prime factor decomposition
    • Chakrabarti C., JaJa J. Systolic architectures for the computation of the discrete Hartley and the discrete cosine transforms based on prime factor decomposition. IEEE Transactions on Computers November 1990, Vol. 39(No. 11):1359-1368.
    • (1990) IEEE Transactions on Computers , vol.39 , Issue.11 , pp. 1359-1368
    • Chakrabarti, C.1    JaJa, J.2
  • 102
    • 0026692462 scopus 로고
    • Computation of an odd-length DCT from real-valued DFT of the same size
    • Heideman M.T. Computation of an odd-length DCT from real-valued DFT of the same size. IEEE Transactions on Signal Processing January 1992, Vol. 40(No. 1):54-61.
    • (1992) IEEE Transactions on Signal Processing , vol.40 , Issue.1 , pp. 54-61
    • Heideman, M.T.1
  • 105
    • 0027235173 scopus 로고
    • A new array architecture for prime-length discrete cosine transform
    • Guo J., Liu C.M., Jen C.-W. A new array architecture for prime-length discrete cosine transform. IEEE Transactions on Signal Processing January 1993, Vol. 41(No. 1):436-442.
    • (1993) IEEE Transactions on Signal Processing , vol.41 , Issue.1 , pp. 436-442
    • Guo, J.1    Liu, C.M.2    Jen, C.-W.3
  • 107
    • 0028484419 scopus 로고
    • An efficient prime-factor algorithm for the discrete cosine transform and its hardward implementations
    • Lee P.Z., Huang F.-Y. An efficient prime-factor algorithm for the discrete cosine transform and its hardward implementations. IEEE Transactions on Signal Processing November 1994, Vol. 42(No. 8):1996-2005.
    • (1994) IEEE Transactions on Signal Processing , vol.42 , Issue.8 , pp. 1996-2005
    • Lee, P.Z.1    Huang, F.-Y.2
  • 108
    • 0028543161 scopus 로고
    • On the prime factor decomposition algorithm for the discrete sine transform
    • Kar D.C., Rao V.V.B. On the prime factor decomposition algorithm for the discrete sine transform. IEEE Transactions on Signal Processing November 1994, Vol. 42(No. 11):3258-3260.
    • (1994) IEEE Transactions on Signal Processing , vol.42 , Issue.11 , pp. 3258-3260
    • Kar, D.C.1    Rao, V.V.B.2
  • 109
    • 0029206947 scopus 로고
    • Scaled DCTs on input sizes that are composite
    • Feig E., Linzer E. Scaled DCTs on input sizes that are composite. IEEE Transactions on Signal Processing January 1995, Vol. 43(No. 1):43-50.
    • (1995) IEEE Transactions on Signal Processing , vol.43 , Issue.1 , pp. 43-50
    • Feig, E.1    Linzer, E.2
  • 110
    • 0029276901 scopus 로고
    • On the computation of the prime factor DST
    • Tatsaki A., Dre C., Stourakis T., Goutis C. On the computation of the prime factor DST. Signal Processing March 1995, Vol. 42(No. 3):231-236.
    • (1995) Signal Processing , vol.42 , Issue.3 , pp. 231-236
    • Tatsaki, A.1    Dre, C.2    Stourakis, T.3    Goutis, C.4
  • 113
    • 0029349852 scopus 로고
    • Skew-circular/circular correlation decomposition of prime-factor DCT
    • Hu N.-C., Lin K.-C. Skew-circular/circular correlation decomposition of prime-factor DCT. IEEE Proceedings-Vision Image and Signal Processing August 1995, Vol. 142:241-246. No. 4.
    • (1995) IEEE Proceedings-Vision Image and Signal Processing , vol.142 , Issue.4 , pp. 241-246
    • Hu, N.-C.1    Lin, K.-C.2
  • 115
    • 0032025751 scopus 로고    scopus 로고
    • DCT algorithms for composite sequence lengths
    • Bi G., Yu L.W. DCT algorithms for composite sequence lengths. IEEE Transactions on Signal Processing March 1998, Vol. 46(No. 3):554-562.
    • (1998) IEEE Transactions on Signal Processing , vol.46 , Issue.3 , pp. 554-562
    • Bi, G.1    Yu, L.W.2
  • 117
    • 0033521792 scopus 로고    scopus 로고
    • Index mapping for prime factor algorithm of discrete cosine transform
    • Bi G. Index mapping for prime factor algorithm of discrete cosine transform. Electronics Letters February 1999, Vol. 35(No. 3):198-200.
    • (1999) Electronics Letters , vol.35 , Issue.3 , pp. 198-200
    • Bi, G.1
  • 118
    • 0032674707 scopus 로고    scopus 로고
    • Fast algorithms for type-III DCT of composite sequence lengths
    • Bi G. Fast algorithms for type-III DCT of composite sequence lengths. IEEE Transactions on Signal Processing July 1999, Vol. 47(No. 7):2053-2059.
    • (1999) IEEE Transactions on Signal Processing , vol.47 , Issue.7 , pp. 2053-2059
    • Bi, G.1
  • 120
    • 0035250875 scopus 로고    scopus 로고
    • Improved DCT-DST prime factor algorithms
    • Kutz G., Ur H. Improved DCT-DST prime factor algorithms. Signal Processing February 2001, Vol. 81(No. 2):335-343.
    • (2001) Signal Processing , vol.81 , Issue.2 , pp. 335-343
    • Kutz, G.1    Ur, H.2
  • 121
    • 0035336715 scopus 로고    scopus 로고
    • A new fast algorithm for computing prime-length DCT through cyclic convolutions
    • Yin R.-X., Siu W.-C. A new fast algorithm for computing prime-length DCT through cyclic convolutions. Signal Processing May 2001, Vol. 81(No. 5):895-906.
    • (2001) Signal Processing , vol.81 , Issue.5 , pp. 895-906
    • Yin, R.-X.1    Siu, W.-C.2
  • 122
    • 0035392831 scopus 로고    scopus 로고
    • A generalized architecture for the one-dimensional discrete cosine and sine transforms
    • Guo J.-I., Li C.-C. A generalized architecture for the one-dimensional discrete cosine and sine transforms. IEEE Transactions on Circuits and Systems for Video Technology July 2001, Vol. 11(No. 7):874-881.
    • (2001) IEEE Transactions on Circuits and Systems for Video Technology , vol.11 , Issue.7 , pp. 874-881
    • Guo, J.-I.1    Li, C.-C.2
  • 125
    • 13244249658 scopus 로고    scopus 로고
    • Direct N-point DCT computation from three adjacent N/3-point DC coefficients
    • Pei S.-C., Kao M.-P. Direct N-point DCT computation from three adjacent N/3-point DC coefficients. IEEE Signal Processing Letters February 2005, Vol. 89(No. 2):89-92.
    • (2005) IEEE Signal Processing Letters , vol.89 , Issue.2 , pp. 89-92
    • Pei, S.-C.1    Kao, M.-P.2
  • 126
    • 22144453965 scopus 로고    scopus 로고
    • Systolic algorithms and a memory-based design approach for a unified architecture for the computation of DCT/DST/IDCT/IDST
    • Chiper D.F., Swamy M.N.S., Ahmad M.O., Stouraitis T. Systolic algorithms and a memory-based design approach for a unified architecture for the computation of DCT/DST/IDCT/IDST. IEEE Transactions on Circuits and Systems-I: Regular Papers June 2005, Vol. 52(No. 6):1125-1137.
    • (2005) IEEE Transactions on Circuits and Systems-I: Regular Papers , vol.52 , Issue.6 , pp. 1125-1137
    • Chiper, D.F.1    Swamy, M.N.S.2    Ahmad, M.O.3    Stouraitis, T.4
  • 127
    • 0026157017 scopus 로고
    • Pruning the fast discrete cosine transform
    • Wang Z. Pruning the fast discrete cosine transform. IEEE Transactions on Communications May 1991, Vol. 39(No. 5):640-643.
    • (1991) IEEE Transactions on Communications , vol.39 , Issue.5 , pp. 640-643
    • Wang, Z.1
  • 128
    • 0028466911 scopus 로고
    • Fast discrete cosine transform pruning
    • Skodras A.N. Fast discrete cosine transform pruning. IEEE Transactions on Signal Processing July 1994, Vol. 42(No. 7):1833-1837.
    • (1994) IEEE Transactions on Signal Processing , vol.42 , Issue.7 , pp. 1833-1837
    • Skodras, A.N.1
  • 129
    • 3043003851 scopus 로고
    • The vector-radix fast cosine transform: pruning and complexity analysis
    • Christopoulos C.A., Bormans J., Cornelis J., Skodras A.N. The vector-radix fast cosine transform: pruning and complexity analysis. Signal Processing May 1995, Vol. 43(No. 2):197-205.
    • (1995) Signal Processing , vol.43 , Issue.2 , pp. 197-205
    • Christopoulos, C.A.1    Bormans, J.2    Cornelis, J.3    Skodras, A.N.4
  • 130
    • 0029346540 scopus 로고
    • A fastrecursive pruned discrete cosine transform
    • El-Sharkawy M., Eshmawy W. A fastrecursive pruned discrete cosine transform. Digital Signal Processing July 1995, Vol. 5(No. 3):140-148.
    • (1995) Digital Signal Processing , vol.5 , Issue.3 , pp. 140-148
    • El-Sharkawy, M.1    Eshmawy, W.2
  • 131
  • 132
  • 133
    • 0032119211 scopus 로고    scopus 로고
    • On matrix factorizations for recursive pruned discrete cosine transforms
    • Chung K.-L., Yan W.-M. On matrix factorizations for recursive pruned discrete cosine transforms. Signal Processing July 1998, Vol. 68(No. 2):175-182.
    • (1998) Signal Processing , vol.68 , Issue.2 , pp. 175-182
    • Chung, K.-L.1    Yan, W.-M.2
  • 134
    • 0032117898 scopus 로고    scopus 로고
    • Modified butterfly structure for efficient implementation of pruned fast cosine transform
    • Venkatesh S., Srinivasan S. Modified butterfly structure for efficient implementation of pruned fast cosine transform. Electronics Letters July 1998, Vol. 34(No. 14):1383-1385.
    • (1998) Electronics Letters , vol.34 , Issue.14 , pp. 1383-1385
    • Venkatesh, S.1    Srinivasan, S.2
  • 135
    • 0027264337 scopus 로고
    • A VLSI architecture for real time computation of discrete trigonometric transforms
    • Canaris J. A VLSI architecture for real time computation of discrete trigonometric transforms. Journal of VLSI Signal Processing 1993, Vol. 5:95-104.
    • (1993) Journal of VLSI Signal Processing , vol.5 , pp. 95-104
    • Canaris, J.1
  • 136
    • 0027556384 scopus 로고
    • Unified parallel lattice structures for time-recursive discrete cosine/sine/Hartley transforms
    • Liu K.J.R., Chiu C.T. Unified parallel lattice structures for time-recursive discrete cosine/sine/Hartley transforms. IEEE Transactions on Signal Processing March 1993, Vol. 41(No. 3):1357-1377.
    • (1993) IEEE Transactions on Signal Processing , vol.41 , Issue.3 , pp. 1357-1377
    • Liu, K.J.R.1    Chiu, C.T.2
  • 138
    • 0028762544 scopus 로고
    • Recursive algorithm for the discrete cosine transform with general lengths
    • (Errata: Electronics Letters, Vol. 30, No. 7, March 1994, p. 608)
    • Chau L.-P., Siu W.-C. Recursive algorithm for the discrete cosine transform with general lengths. Electronics Letters February 1994, Vol. 30(No. 3):197-198. (Errata: Electronics Letters, Vol. 30, No. 7, March 1994, p. 608).
    • (1994) Electronics Letters , vol.30 , Issue.3 , pp. 197-198
    • Chau, L.-P.1    Siu, W.-C.2
  • 139
    • 84882197717 scopus 로고
    • Efficient formulation for the realization of discrete cosine transform using recursive structure
    • Chau L.-P., Siu W.-C. Efficient formulation for the realization of discrete cosine transform using recursive structure. Proceedings of the IEEE ICASSP'94, Vol. 3, Adelaide. Australia April 1994, III.437-III.440.
    • (1994) Proceedings of the IEEE ICASSP'94, Vol. 3, Adelaide. Australia , pp. III.437-III.440
    • Chau, L.-P.1    Siu, W.-C.2
  • 140
    • 0028464540 scopus 로고
    • Recursive algorithms for the forward and inverse discrete cosine transform with arbitrary length
    • Wang Z., Jullien G.A., Miller W.C. Recursive algorithms for the forward and inverse discrete cosine transform with arbitrary length. IEEE Signal Processing Letters July 1994, Vol. 1(No. 7):101-102.
    • (1994) IEEE Signal Processing Letters , vol.1 , Issue.7 , pp. 101-102
    • Wang, Z.1    Jullien, G.A.2    Miller, W.C.3
  • 142
    • 0029359214 scopus 로고
    • Computation of discrete cosine transform using Clenshaw's recurrence formula
    • Aburdene M.F., Zheng J., Kozick R.J. Computation of discrete cosine transform using Clenshaw's recurrence formula. IEEE Signal Processing Letters August 1995, Vol. 2(No. 8):155-156.
    • (1995) IEEE Signal Processing Letters , vol.2 , Issue.8 , pp. 155-156
    • Aburdene, M.F.1    Zheng, J.2    Kozick, R.J.3
  • 143
    • 0030108266 scopus 로고    scopus 로고
    • Transform domain recursive algorithm to compute discrete cosine and sine transforms
    • Chau L.-P., Siu W.-C. Transform domain recursive algorithm to compute discrete cosine and sine transforms. International Journal of Electronics 1996, Vol. 80(No. 3):433-439.
    • (1996) International Journal of Electronics , vol.80 , Issue.3 , pp. 433-439
    • Chau, L.-P.1    Siu, W.-C.2
  • 144
    • 0030396577 scopus 로고    scopus 로고
    • A regressive structure for on-line computation of arbitrary length DCT-IV and DST-IV transforms
    • Chang H.-C., Liu J.-C. A regressive structure for on-line computation of arbitrary length DCT-IV and DST-IV transforms. IEEE Transactions on Circuits and Systems for Video Technology December 1996, Vol. 6(No. 6):692-695.
    • (1996) IEEE Transactions on Circuits and Systems for Video Technology , vol.6 , Issue.6 , pp. 692-695
    • Chang, H.-C.1    Liu, J.-C.2
  • 149
    • 0034294285 scopus 로고    scopus 로고
    • Efficient recursive algorithm for the inverse discrete cosine transform
    • Chau L.-P., Siu W.-C. Efficient recursive algorithm for the inverse discrete cosine transform. IEEE Signal Processing Letters October 2000, Vol. 7(No. 10):276-277.
    • (2000) IEEE Signal Processing Letters , vol.7 , Issue.10 , pp. 276-277
    • Chau, L.-P.1    Siu, W.-C.2
  • 150
    • 0035368817 scopus 로고    scopus 로고
    • The discrete fractional cosine and sine transforms
    • Pei S.-C., Yeh M.-H. The discrete fractional cosine and sine transforms. IEEE Transactions on Signal Processing June 2001, Vol. 49(No. 6):1198-1207.
    • (2001) IEEE Transactions on Signal Processing , vol.49 , Issue.6 , pp. 1198-1207
    • Pei, S.-C.1    Yeh, M.-H.2
  • 151
    • 0036538082 scopus 로고    scopus 로고
    • Eigenvalues and eigenvectors of generalized DFT, generalized DHT, DCT-IV and DST-IV matrices
    • Tseng C.-C. Eigenvalues and eigenvectors of generalized DFT, generalized DHT, DCT-IV and DST-IV matrices. IEEE Transactions on Signal Processing April 2002, Vol. 50(No. 4):866-877.
    • (2002) IEEE Transactions on Signal Processing , vol.50 , Issue.4 , pp. 866-877
    • Tseng, C.-C.1
  • 154
    • 0000044932 scopus 로고    scopus 로고
    • The discrete cosine transform
    • Strang G. The discrete cosine transform. SIAM Review 1999, Vol. 41(No. 1):135-147.
    • (1999) SIAM Review , vol.41 , Issue.1 , pp. 135-147
    • Strang, G.1
  • 157
    • 85134364273 scopus 로고    scopus 로고
    • The Transforms and Applications Handbook
    • CRC & IEEE press, Boca Raton, FL, A.D. Poularikas (Ed.)
    • The Transforms and Applications Handbook. Chapter 3: Sine and cosine transforms 1996, 227-280. CRC & IEEE press, Boca Raton, FL. A.D. Poularikas (Ed.).
    • (1996) Chapter 3: Sine and cosine transforms , pp. 227-280
  • 162
    • 0035391946 scopus 로고    scopus 로고
    • Windowed discrete cosine and sine transforms for shifting data
    • Sherlock B.G., Kakad Y.P. Windowed discrete cosine and sine transforms for shifting data. Signat Processing July 2001, Vol. 81(No. 7):1465-1478.
    • (2001) Signat Processing , vol.81 , Issue.7 , pp. 1465-1478
    • Sherlock, B.G.1    Kakad, Y.P.2
  • 163
    • 0036102207 scopus 로고    scopus 로고
    • Transform domain technique for windowing the DCT and DST
    • Sherlock B.G., Kakad Y.P. Transform domain technique for windowing the DCT and DST. Journal of the Franklin Institute January 2002, Vol. 339(No. 1):111-120.
    • (2002) Journal of the Franklin Institute , vol.339 , Issue.1 , pp. 111-120
    • Sherlock, B.G.1    Kakad, Y.P.2
  • 165
    • 0028429724 scopus 로고
    • Symmetric convolution and the discrete sine and cosine transforms
    • Martucci S.A. Symmetric convolution and the discrete sine and cosine transforms. IEEE Transactions on Signal Processing 1994, Vol. 42(No. 5):1038-1051.
    • (1994) IEEE Transactions on Signal Processing , vol.42 , Issue.5 , pp. 1038-1051
    • Martucci, S.A.1
  • 166
    • 0005292394 scopus 로고    scopus 로고
    • Digital filtering of images using the discrete sine and cosine transform
    • Martucci S.A. Digital filtering of images using the discrete sine and cosine transform. Optical Engineering January 1996, Vol. 35(No. 1):119-127.
    • (1996) Optical Engineering , vol.35 , Issue.1 , pp. 119-127
    • Martucci, S.A.1
  • 167
    • 0032675612 scopus 로고    scopus 로고
    • Symmetric convolution of asymmetric multidimensional sequences using discrete trigonometric transforms
    • Foltz T.M., Welsh B.M. Symmetric convolution of asymmetric multidimensional sequences using discrete trigonometric transforms. IEEE Transactions on Image Processing May 1999, Vol. 8(No. 5):640-651.
    • (1999) IEEE Transactions on Image Processing , vol.8 , Issue.5 , pp. 640-651
    • Foltz, T.M.1    Welsh, B.M.2
  • 175
    • 58149421595 scopus 로고
    • Analysis of a complex of statistical variables into principal components
    • Hotelling H. Analysis of a complex of statistical variables into principal components. Journal of Educational Psychology 1933, Vol. 24:417-441.
    • (1933) Journal of Educational Psychology , vol.24 , pp. 417-441
    • Hotelling, H.1
  • 176
    • 0001710505 scopus 로고
    • Analysis of a complex of statistical variables into principal components
    • Hotelling H. Analysis of a complex of statistical variables into principal components. Journal of Educational Psychology 1933, Vol. 24:498-520.
    • (1933) Journal of Educational Psychology , vol.24 , pp. 498-520
    • Hotelling, H.1
  • 178
    • 0014869355 scopus 로고
    • Further decomposition of the Karhumen-Loéve series representation of a stationary random process
    • Ray W.D., Driver R.M. Further decomposition of the Karhumen-Loéve series representation of a stationary random process. IEEE Transactions on Information Theory November 1970, Vol. IT-16:663-668.
    • (1970) IEEE Transactions on Information Theory , vol.IT-16 , pp. 663-668
    • Ray, W.D.1    Driver, R.M.2
  • 179
    • 0019006973 scopus 로고
    • A symmetric cosine transform
    • Kitajima H. A symmetric cosine transform. IEEE Transactions on Computers April 1980, Vol. C-29:317-323.
    • (1980) IEEE Transactions on Computers , vol.C-29 , pp. 317-323
    • Kitajima, H.1
  • 184
    • 0000044932 scopus 로고    scopus 로고
    • The discrete cosine transform
    • Strang G. The discrete cosine transform. SIAM Review 1999, Vol. 41(No. 1):135-147.
    • (1999) SIAM Review , vol.41 , Issue.1 , pp. 135-147
    • Strang, G.1
  • 186
    • 0015431807 scopus 로고
    • On the asymptotic eigenvalue distribution of Toeplitz matrices
    • Gray R.M. On the asymptotic eigenvalue distribution of Toeplitz matrices. IEEE Transactions on Information Theory November 1972, Vol. IT-18:725-730.
    • (1972) IEEE Transactions on Information Theory , vol.IT-18 , pp. 725-730
    • Gray, R.M.1
  • 190
    • 0016996505 scopus 로고
    • A fast karhumen-Loéve transform for a class of random processes
    • Jain A.K. A fast karhumen-Loéve transform for a class of random processes. IEEE Transactions on Communications September 1976, Vol. COM-24:1023-1029.
    • (1976) IEEE Transactions on Communications , vol.COM-24 , pp. 1023-1029
    • Jain, A.K.1
  • 191
    • 0004073954 scopus 로고
    • American Mathematical Society, New York
    • Szego G. Orthogonal Polynomials 1959, American Mathematical Society, New York.
    • (1959) Orthogonal Polynomials
    • Szego, G.1
  • 192
    • 33847423182 scopus 로고
    • Comparison of the discrete cosine and Fourier transforms as possible substitutes for the Karhunen-Loéve transform
    • Kitajima H., Sato T., Kurobe T. Comparison of the discrete cosine and Fourier transforms as possible substitutes for the Karhunen-Loéve transform. The Transactions of the IECE of Japan June 1977, Vol. E60:279-283.
    • (1977) The Transactions of the IECE of Japan , vol.E60 , pp. 279-283
    • Kitajima, H.1    Sato, T.2    Kurobe, T.3
  • 193
  • 195
    • 0021755308 scopus 로고
    • Relation between the Karhunen-Loéve and sine transforms
    • Clarke R.J. Relation between the Karhunen-Loéve and sine transforms. Electronics Letters January 1984, Vol. 20:12-13.
    • (1984) Electronics Letters , vol.20 , pp. 12-13
    • Clarke, R.J.1
  • 204
    • 84882187811 scopus 로고    scopus 로고
    • The Transform and Data Compression Handbook
    • CRC Press, Boca Raton, FL, K.R. Rao, P. Yip (Eds.)
    • The Transform and Data Compression Handbook. Chapter 4: Discrete cosine and sine tranforms 2001, 117-195. CRC Press, Boca Raton, FL. K.R. Rao, P. Yip (Eds.).
    • (2001) Chapter 4: Discrete cosine and sine tranforms , pp. 117-195
  • 207
    • 0019006973 scopus 로고
    • A symmetric cosine transform
    • Kitajima H. A symmetric cosine transform. IEEE Transactions on Computers April 1980, Vol. C-29:317-323.
    • (1980) IEEE Transactions on Computers , vol.C-29 , pp. 317-323
    • Kitajima, H.1
  • 208
    • 0016996505 scopus 로고
    • A fast Karhunen-Loève transform for a class of random processes
    • Jain A.K. A fast Karhunen-Loève transform for a class of random processes. IEEE Transactions on Communications September 1976, Vol. COM-24:1023-1029.
    • (1976) IEEE Transactions on Communications , vol.COM-24 , pp. 1023-1029
    • Jain, A.K.1
  • 209
    • 78649489799 scopus 로고
    • Comparative performance of various trigonometric unitary transforms for transform image coding
    • Kekre H.B., Solanki J.K. Comparative performance of various trigonometric unitary transforms for transform image coding. International Journal of Electronics 1978, Vol. 44(No. 3):305-315.
    • (1978) International Journal of Electronics , vol.44 , Issue.3 , pp. 305-315
    • Kekre, H.B.1    Solanki, J.K.2
  • 212
    • 0000044932 scopus 로고    scopus 로고
    • The discrete cosine transform
    • Strang G. The discrete cosine transform. SIAM Review March 1999, Vol. 41(No. 1):135-147.
    • (1999) SIAM Review , vol.41 , Issue.1 , pp. 135-147
    • Strang, G.1
  • 215
    • 0028429724 scopus 로고
    • Symmetric convolution and the discrete sine and cosine transforms
    • Martucci S.A. Symmetric convolution and the discrete sine and cosine transforms. IEEE Transactions on Signal Processing May 1994, Vol. 42(No. 5):1038-1051.
    • (1994) IEEE Transactions on Signal Processing , vol.42 , Issue.5 , pp. 1038-1051
    • Martucci, S.A.1
  • 218
    • 0008723828 scopus 로고
    • Comments on generalized discrete Hartley transform
    • Wang Z. Comments on generalized discrete Hartley transform. IEEE Transactions on Signal Processing July 1995, Vol. 43(No. 7):1711-1712.
    • (1995) IEEE Transactions on Signal Processing , vol.43 , Issue.7 , pp. 1711-1712
    • Wang, Z.1
  • 219
    • 0028392325 scopus 로고
    • The generalized discrete W transform and its application to interpolation
    • Wang Z., Julien G.A., Miller W.C. The generalized discrete W transform and its application to interpolation. Signal Processing 1994, Vol. 36:99-109.
    • (1994) Signal Processing , vol.36 , pp. 99-109
    • Wang, Z.1    Julien, G.A.2    Miller, W.C.3
  • 220
    • 0033353815 scopus 로고    scopus 로고
    • The fast generalized discrete Fourier transform: a unified approach to the discrete sinusoidal transforms computation
    • Britanak V., Rao K.R. The fast generalized discrete Fourier transform: a unified approach to the discrete sinusoidal transforms computation. Signal Processing December 1999, Vol. 79(No. 12):135-150.
    • (1999) Signal Processing , vol.79 , Issue.12 , pp. 135-150
    • Britanak, V.1    Rao, K.R.2
  • 221
    • 0021755317 scopus 로고
    • Split-radix FFT algorithm
    • Duhamel P., Hollmann H. Split-radix FFT algorithm. Electronics Letters January 1984, Vol. 20(No. 1):14-16.
    • (1984) Electronics Letters , vol.20 , Issue.1 , pp. 14-16
    • Duhamel, P.1    Hollmann, H.2
  • 223
    • 0022700957 scopus 로고
    • Implementation of split-radix FFT algorithms for complex, real, and real-symmetric data
    • Duhamel P. Implementation of split-radix FFT algorithms for complex, real, and real-symmetric data. IEEE Transactions on Acoustics, Speech and Signal Processing April 1986, Vol. ASSP-34(No. 2):285-295.
    • (1986) IEEE Transactions on Acoustics, Speech and Signal Processing , vol.ASSP-34 , Issue.2 , pp. 285-295
    • Duhamel, P.1
  • 225
    • 3042937514 scopus 로고
    • On the computation and effectiveness of discrete sine transform
    • Yip P., Rao K.R. On the computation and effectiveness of discrete sine transform. Computers and Electrical Engineering 1980, Vol. 7(No. 1):45-55.
    • (1980) Computers and Electrical Engineering , vol.7 , Issue.1 , pp. 45-55
    • Yip, P.1    Rao, K.R.2
  • 226
    • 0018983854 scopus 로고
    • A fast computational algorithm for the discrete sine transform
    • Yip P., Rao K.R. A fast computational algorithm for the discrete sine transform. IEEE Transactions on Communications February 1980, Vol. COM-28(No. 2):304-307.
    • (1980) IEEE Transactions on Communications , vol.COM-28 , Issue.2 , pp. 304-307
    • Yip, P.1    Rao, K.R.2
  • 227
    • 0019623116 scopus 로고
    • New fast discrete sine transform with offset
    • Bisherurwa E.J.K., Coakley F.P. New fast discrete sine transform with offset. Electronics Letters October 1981, Vol. 17(No. 21):803-805.
    • (1981) Electronics Letters , vol.17 , Issue.21 , pp. 803-805
    • Bisherurwa, E.J.K.1    Coakley, F.P.2
  • 228
    • 0022665553 scopus 로고
    • Comments on A fast computational algorithm for the discrete sine transform
    • Wang Z. Comments on A fast computational algorithm for the discrete sine transform. IEEE Transactions on Communications February 1986, Vol. COM-34(No. 2):204-205.
    • (1986) IEEE Transactions on Communications , vol.COM-34 , Issue.2 , pp. 204-205
    • Wang, Z.1
  • 229
    • 33748891622 scopus 로고    scopus 로고
    • A unified approach to the fast computation of discrete sinusoidal transforms I: DCT and DST transforms
    • Britanak V. A unified approach to the fast computation of discrete sinusoidal transforms I: DCT and DST transforms. Computers and Artificial Intelligence December 1998, Vol. 17(No. 6):583-607.
    • (1998) Computers and Artificial Intelligence , vol.17 , Issue.6 , pp. 583-607
    • Britanak, V.1
  • 230
    • 0017538003 scopus 로고
    • A fast computational algorithm for the discrete cosine transform
    • Chen W.H., Smith C.H., Fralick S.C. A fast computational algorithm for the discrete cosine transform. IEEE Transactions on Communications September 1977, Vol. COM-25:1004-1009.
    • (1977) IEEE Transactions on Communications , vol.COM-25 , pp. 1004-1009
    • Chen, W.H.1    Smith, C.H.2    Fralick, S.C.3
  • 231
    • 0007650792 scopus 로고
    • On a real-time Walsh-Hadamard/cosine transform image processor
    • Hein D., Ahmed N. On a real-time Walsh-Hadamard/cosine transform image processor. IEEE Transactions on Electromagnetic Compatibility August 1978, Vol. EMC-20(No. 3):453-457.
    • (1978) IEEE Transactions on Electromagnetic Compatibility , vol.EMC-20 , Issue.3 , pp. 453-457
    • Hein, D.1    Ahmed, N.2
  • 233
    • 0020647904 scopus 로고
    • Reconsideration of a fast computational algorithm for the discrete cosine transform
    • Wang Z. Reconsideration of a fast computational algorithm for the discrete cosine transform. IEEE Transactions on Communications January 1983, Vol. COM-31:121-123.
    • (1983) IEEE Transactions on Communications , vol.COM-31 , pp. 121-123
    • Wang, Z.1
  • 234
  • 235
    • 0020588629 scopus 로고
    • An approximation to the discrete cosine transform for N=16
    • Srinivasan R., Rao K.R. An approximation to the discrete cosine transform for N=16. Signal Processing January 1983, Vol. 5:81-85.
    • (1983) Signal Processing , vol.5 , pp. 81-85
    • Srinivasan, R.1    Rao, K.R.2
  • 236
    • 0020194418 scopus 로고
    • A fast algorithm for the discrete sine transform implemented by the fast cosine transform
    • Wang Z. A fast algorithm for the discrete sine transform implemented by the fast cosine transform. IEEE Transactions on Acoustics, Speech, and Signal Processing October 1982, Vol. ASSP-30:814-815.
    • (1982) IEEE Transactions on Acoustics, Speech, and Signal Processing , vol.ASSP-30 , pp. 814-815
    • Wang, Z.1
  • 237
    • 0021473509 scopus 로고
    • Fast algorithms for the discrete W transform and for the discrete Fourier transform
    • Wang Z. Fast algorithms for the discrete W transform and for the discrete Fourier transform. IEEE Transactions on Acoustics, Speech, and Signal Processing August 1984, Vol. ASSP-32:803-816.
    • (1984) IEEE Transactions on Acoustics, Speech, and Signal Processing , vol.ASSP-32 , pp. 803-816
    • Wang, Z.1
  • 239
    • 0021481259 scopus 로고
    • Simple FFT and DCT algorithms with reduced number of operations
    • Vetterli M., Nussbaumer H.J. Simple FFT and DCT algorithms with reduced number of operations. Signal Processing August 1984, Vol. 6:267-278.
    • (1984) Signal Processing , vol.6 , pp. 267-278
    • Vetterli, M.1    Nussbaumer, H.J.2
  • 241
    • 0023244560 scopus 로고
    • New 2n DCT algorithms suitable for VLSI implementation
    • Duhamel P., H'mida H. New 2n DCT algorithms suitable for VLSI implementation. Proceedings of the IEEE ICASSP'87 April 1987, 1805-1808.
    • (1987) Proceedings of the IEEE ICASSP'87 , pp. 1805-1808
    • Duhamel, P.1    H'mida, H.2
  • 245
    • 0025530239 scopus 로고
    • Direct methods for computing discrete sinusoidal transforms
    • Chan S.C., Ho K.L. Direct methods for computing discrete sinusoidal transforms. IEE Proceedings: Radar and Signal Processing December 1990, Vol. 137:433-442. Part F.
    • (1990) IEE Proceedings: Radar and Signal Processing , vol.137 , pp. 433-442
    • Chan, S.C.1    Ho, K.L.2
  • 246
    • 0031098885 scopus 로고    scopus 로고
    • Fast algorithm for computing discrete cosine transform
    • Kok C.W. Fast algorithm for computing discrete cosine transform. IEEE Transactions on Signal Processing March 1997, Vol. 45:757-760.
    • (1997) IEEE Transactions on Signal Processing , vol.45 , pp. 757-760
    • Kok, C.W.1
  • 247
    • 0026157017 scopus 로고
    • Pruning the fast discrete cosine transform
    • Wang Z. Pruning the fast discrete cosine transform. IEEE Transactions on Communications May 1991, Vol. 39(No. 5):640-643.
    • (1991) IEEE Transactions on Communications , vol.39 , Issue.5 , pp. 640-643
    • Wang, Z.1
  • 249
    • 0037706915 scopus 로고    scopus 로고
    • The fast DCT-IV/DST-IV computation via the MDCT
    • Britanak V. The fast DCT-IV/DST-IV computation via the MDCT. Signal Processing August 2003, Vol. 83:1803-1813.
    • (2003) Signal Processing , vol.83 , pp. 1803-1813
    • Britanak, V.1
  • 250
    • 0035446682 scopus 로고    scopus 로고
    • Automatic generation of fast discrete signal transforms
    • Egner S., Pueschel M. Automatic generation of fast discrete signal transforms. IEEE Transactions on Signal Processing September 2001, Vol. 49(No. 9):1992-2002.
    • (2001) IEEE Transactions on Signal Processing , vol.49 , Issue.9 , pp. 1992-2002
    • Egner, S.1    Pueschel, M.2
  • 251
    • 0141473171 scopus 로고    scopus 로고
    • The algebraic approach to the discrete cosine and sine transforms and their fast algorithms
    • Pueschel M., Moura J.M. The algebraic approach to the discrete cosine and sine transforms and their fast algorithms. SIAM Journal of Computing 2003, Vol. 32(No. 5):1280-1316.
    • (2003) SIAM Journal of Computing , vol.32 , Issue.5 , pp. 1280-1316
    • Pueschel, M.1    Moura, J.M.2
  • 252
    • 7544224483 scopus 로고    scopus 로고
    • Fast and numerically stable algorithms for discrete cosine transforms
    • Plonka G., Tasche M. Fast and numerically stable algorithms for discrete cosine transforms. Linear Algebra and its Applications January 2005, Vol. 394(No. 1):309-345.
    • (2005) Linear Algebra and its Applications , vol.394 , Issue.1 , pp. 309-345
    • Plonka, G.1    Tasche, M.2
  • 253
    • 0001616254 scopus 로고
    • On the multiplicative complexity of discrete cosine transforms
    • Feig E., Winograd S. On the multiplicative complexity of discrete cosine transforms. IEEE Transactions on Information Theory July 1992, Vol. 38(No. 4):1387-1391.
    • (1992) IEEE Transactions on Information Theory , vol.38 , Issue.4 , pp. 1387-1391
    • Feig, E.1    Winograd, S.2
  • 254
    • 0026105329 scopus 로고
    • A new two-dimensional fast cosine transform algorithm
    • Chan S.C., Ho K.L. A new two-dimensional fast cosine transform algorithm. IEEE Transactions on Signal Processing February 1991, Vol. 39(No. 2):481-485.
    • (1991) IEEE Transactions on Signal Processing , vol.39 , Issue.2 , pp. 481-485
    • Chan, S.C.1    Ho, K.L.2
  • 257
    • 0026107649 scopus 로고
    • A two-dimensional fast cosine transform algorithm based on Hou's approach
    • Wu H.R., Paoloni F.J. A two-dimensional fast cosine transform algorithm based on Hou's approach. IEEE Transactions on Signal Processing February 1991, Vol. 39(No. 2):544-546.
    • (1991) IEEE Transactions on Signal Processing , vol.39 , Issue.2 , pp. 544-546
    • Wu, H.R.1    Paoloni, F.J.2
  • 258
    • 0034319890 scopus 로고    scopus 로고
    • Two-dimensional DCT/DST universal computational structure for 2m×2n block sizes
    • Britanak V., Rao K.R. Two-dimensional DCT/DST universal computational structure for 2m×2n block sizes. IEEE Transactions on Signal Processing November 2000, Vol. 48(No. 11):3250-3255.
    • (2000) IEEE Transactions on Signal Processing , vol.48 , Issue.11 , pp. 3250-3255
    • Britanak, V.1    Rao, K.R.2
  • 259
    • 0026925543 scopus 로고
    • Fast algorithms for the discrete cosine transform
    • Feig E., Winograd S. Fast algorithms for the discrete cosine transform. IEEE Transactions on Signal Processing September 1992, Vol. 40(No. 9):2174-2193.
    • (1992) IEEE Transactions on Signal Processing , vol.40 , Issue.9 , pp. 2174-2193
    • Feig, E.1    Winograd, S.2
  • 262
    • 0029765833 scopus 로고    scopus 로고
    • A polynomial transform-based computation of the 2-D DCT with minimum multiplicative complexity
    • Prado J., Duhamel P. A polynomial transform-based computation of the 2-D DCT with minimum multiplicative complexity. Proceedings of the IEEE ICASSP'96 May 1996, 1347-1350.
    • (1996) Proceedings of the IEEE ICASSP'96 , pp. 1347-1350
    • Prado, J.1    Duhamel, P.2
  • 264
    • 0026925031 scopus 로고
    • A fast 4×4 DCT algorithm for the recursive 2-D DCT
    • Cho N.I., Lee S.U. A fast 4×4 DCT algorithm for the recursive 2-D DCT. IEEE Transactions on Signal Processing September 1992, Vol. 40(No. 9):2166-2173.
    • (1992) IEEE Transactions on Signal Processing , vol.40 , Issue.9 , pp. 2166-2173
    • Cho, N.I.1    Lee, S.U.2
  • 265
    • 0026130969 scopus 로고
    • Fast algorithm and implementation of 2-D discrete cosine transform
    • Cho N.I., Lee S.U. Fast algorithm and implementation of 2-D discrete cosine transform. IEEE Transactions on Circuits and Systems March 1991, Vol. 38(No. 3):297-305.
    • (1991) IEEE Transactions on Circuits and Systems , vol.38 , Issue.3 , pp. 297-305
    • Cho, N.I.1    Lee, S.U.2
  • 267
    • 0032072374 scopus 로고    scopus 로고
    • A refined fast 2-D discrete cosine transform algorithm with regular butterfly structure
    • Huang Y.M., Wu J.L., Hsu C.T. A refined fast 2-D discrete cosine transform algorithm with regular butterfly structure. IEEE Transactions on Consumer Electronics May 1998, Vol. 44(No. 2):376-383.
    • (1998) IEEE Transactions on Consumer Electronics , vol.44 , Issue.2 , pp. 376-383
    • Huang, Y.M.1    Wu, J.L.2    Hsu, C.T.3
  • 268
    • 0033101638 scopus 로고    scopus 로고
    • A refined fast 2-D discrete cosine transform algorithm
    • Huang Y.M., Wu J.L. A refined fast 2-D discrete cosine transform algorithm. IEEE Transactions on Signal Processing March 1999, Vol. 47(No. 3):904-907.
    • (1999) IEEE Transactions on Signal Processing , vol.47 , Issue.3 , pp. 904-907
    • Huang, Y.M.1    Wu, J.L.2
  • 269
    • 0032046934 scopus 로고    scopus 로고
    • Comments on fast algorithm and implementation of 2-D discrete cosine transform
    • Wu H.R., Man Z. Comments on fast algorithm and implementation of 2-D discrete cosine transform. IEEE Transactions on Circuits and Systems for Video Technology April 1998, Vol. 8(No. 2):128-129.
    • (1998) IEEE Transactions on Circuits and Systems for Video Technology , vol.8 , Issue.2 , pp. 128-129
    • Wu, H.R.1    Man, Z.2
  • 270
    • 0003508063 scopus 로고
    • (in Russian), English translation: Dover Publications Inc., New York, 1959, GIFML, Moskow
    • Faddeev D.K., Faddeeva V.N. Computational Methods of Linear Algebra 1963, (in Russian), English translation: Dover Publications Inc., New York, 1959, GIFML, Moskow.
    • (1963) Computational Methods of Linear Algebra
    • Faddeev, D.K.1    Faddeeva, V.N.2
  • 272
    • 0004131235 scopus 로고
    • (in Russian). English translation: Vols. 1 and 2. Chelsea, New York, 1959, Nauka, Moskow
    • Gantmacher F.R. The Theory of Matrices 1966, (in Russian). English translation: Vols. 1 and 2. Chelsea, New York, 1959, Nauka, Moskow. 2nd Edition.
    • (1966) The Theory of Matrices
    • Gantmacher, F.R.1
  • 274
  • 278
    • 0035485865 scopus 로고    scopus 로고
    • Matrix factorizations for reversible integer mapping
    • Hao P., Shi Q. Matrix factorizations for reversible integer mapping. IEEE Transactions on Signal Processing October 2001, Vol. 49(No. 10):2314-2324.
    • (2001) IEEE Transactions on Signal Processing , vol.49 , Issue.10 , pp. 2314-2324
    • Hao, P.1    Shi, Q.2
  • 279
    • 1842505117 scopus 로고    scopus 로고
    • Customizable triangular factorizations of matrices
    • Hao P. Customizable triangular factorizations of matrices. Linear Algebra and Its Appications May 2004, Vol. 382:135-154.
    • (2004) Linear Algebra and Its Appications , vol.382 , pp. 135-154
    • Hao, P.1
  • 280
    • 15844365869 scopus 로고    scopus 로고
    • On the necessity and sufficiency of PLUS factorizations
    • She Y., Hao P. On the necessity and sufficiency of PLUS factorizations. Linear Algebra and Its Applications May 2005, Vol. 400:193-202.
    • (2005) Linear Algebra and Its Applications , vol.400 , pp. 193-202
    • She, Y.1    Hao, P.2
  • 283
    • 0021755317 scopus 로고
    • Split-radix FFT algorithm
    • Duhamel P., Hollmann H. Split-radix FFT algorithm. Electronics Letters January 1984, Vol. 20(No. 1):14-16.
    • (1984) Electronics Letters , vol.20 , Issue.1 , pp. 14-16
    • Duhamel, P.1    Hollmann, H.2
  • 285
    • 0022700957 scopus 로고
    • Implementation of split-radix FFT algorithms for complex, real, and realsymmetric data
    • Duhamel P. Implementation of split-radix FFT algorithms for complex, real, and realsymmetric data. IEEE Transactions on Acoustics, Speech and Signal Processing April 1986, Vol. ASSP-34(No. 2):285-295.
    • (1986) IEEE Transactions on Acoustics, Speech and Signal Processing , vol.ASSP-34 , Issue.2 , pp. 285-295
    • Duhamel, P.1
  • 286
    • 0017538003 scopus 로고
    • A fast computational algorithm for the discrete cosine transform
    • Chen W.H., Smith C.H., Fralick S.C. A fast computational algorithm for the discrete cosine transform. IEEE Transactions on Communications September 1977, Vol. COM-25:1004-1009.
    • (1977) IEEE Transactions on Communications , vol.COM-25 , pp. 1004-1009
    • Chen, W.H.1    Smith, C.H.2    Fralick, S.C.3
  • 287
    • 0007650792 scopus 로고
    • On a real-time Walsh-Hadamard/cosine transform image processor
    • Hein D., Ahmed N. On a real-time Walsh-Hadamard/cosine transform image processor. IEEE Transactions on Electromagnetic Compatibility August 1978, Vol. EMC-20(No. 3):453-457.
    • (1978) IEEE Transactions on Electromagnetic Compatibility , vol.EMC-20 , Issue.3 , pp. 453-457
    • Hein, D.1    Ahmed, N.2
  • 288
  • 291
    • 0018811070 scopus 로고
    • The Karhunen-Loève, discrete cosine and related transforms obtained via the Hadamard transform
    • H.W.Jones, Hein D.H., Knauer S.C. The Karhunen-Loève, discrete cosine and related transforms obtained via the Hadamard transform. Proceedings of the International Telemetring Conference November 1978, 87-98.
    • (1978) Proceedings of the International Telemetring Conference , pp. 87-98
    • H.W.J.1    Hein, D.H.2    Knauer, S.C.3
  • 292
    • 0020588629 scopus 로고
    • An approximation to the discrete cosine transform for N=16
    • Srinivasan R., Rao K.R. An approximation to the discrete cosine transform for N=16. Signal Processing January 1983, Vol. 5:81-85.
    • (1983) Signal Processing , vol.5 , pp. 81-85
    • Srinivasan, R.1    Rao, K.R.2
  • 297
    • 0000989769 scopus 로고
    • Development of integer cosine transforms by the principle of dyadic symmetry
    • Cham W.K. Development of integer cosine transforms by the principle of dyadic symmetry. IEE Proceedings August 1989, Vol. 136:276-282. No. 4, Pt. I.
    • (1989) IEE Proceedings , vol.136 , Issue.4 PART. I , pp. 276-282
    • Cham, W.K.1
  • 300
    • 0026170214 scopus 로고
    • Integer sinusoidal transforms for image processing
    • Cham W.K., Yip P.C. Integer sinusoidal transforms for image processing. International Journal of Electronics 1991, Vol. 70:1015-1030.
    • (1991) International Journal of Electronics , vol.70 , pp. 1015-1030
    • Cham, W.K.1    Yip, P.C.2
  • 302
    • 84882205968 scopus 로고
    • Academic Press, Boston, P.W. Hawkes (Ed.)
    • Advances in Electronics and Electron Physics 1994, Vol. 88:1-61. Academic Press, Boston. P.W. Hawkes (Ed.).
    • (1994) Advances in Electronics and Electron Physics , vol.88 , pp. 1-61
  • 304
    • 0026219925 scopus 로고
    • Development of order-16 integer transforms
    • Koh S.N., Huang S.J., Tang K.K. Development of order-16 integer transforms. Signal Processing September 1991, Vol. 24(No. 3):283-289.
    • (1991) Signal Processing , vol.24 , Issue.3 , pp. 283-289
    • Koh, S.N.1    Huang, S.J.2    Tang, K.K.3
  • 306
    • 0034516108 scopus 로고    scopus 로고
    • The integertransforms analogous to discrete trigonometric transforms
    • Pei S.C., Ding J.J. The integertransforms analogous to discrete trigonometric transforms. IEEE Transactions on Signal Processing December 2000, Vol. 48(No. 12):3345-3364.
    • (2000) IEEE Transactions on Signal Processing , vol.48 , Issue.12 , pp. 3345-3364
    • Pei, S.C.1    Ding, J.J.2
  • 307
    • 84882165606 scopus 로고
    • A modified integer cosine transform with constant self scalar product of the basis vectors
    • Marcek A., Tomasovic L. A modified integer cosine transform with constant self scalar product of the basis vectors. Applied Signal Processing 1995, Vol. 2:37-47.
    • (1995) Applied Signal Processing , vol.2 , pp. 37-47
    • Marcek, A.1    Tomasovic, L.2
  • 309
    • 84882110494 scopus 로고
    • Real-time discrete cosine transform chip using generalized Chen transform technology
    • Boliek M. Real-time discrete cosine transform chip using generalized Chen transform technology. Electronics Imaging International, Boston, MA September 1991, 428-432.
    • (1991) Electronics Imaging International, Boston, MA , pp. 428-432
    • Boliek, M.1
  • 311
    • 84882221068 scopus 로고
    • JPEG image compression hardware implementation with extensions for fixed-rate and compressed image editing applications
    • Boliek M., Allen J.D., Ryu T., Sato Y., Hara J. JPEG image compression hardware implementation with extensions for fixed-rate and compressed image editing applications. Proceedings of SPIE, Vol. 2187, San Jose February 1994.
    • (1994) Proceedings of SPIE, Vol. 2187, San Jose
    • Boliek, M.1    Allen, J.D.2    Ryu, T.3    Sato, Y.4    Hara, J.5
  • 314
    • 0033726834 scopus 로고    scopus 로고
    • The BinDCT: fast multiplierless approximation of the DCT
    • Tran T.D. The BinDCT: fast multiplierless approximation of the DCT. IEEE Signal Processing Letters June 2000, Vol. 7:141-144.
    • (2000) IEEE Signal Processing Letters , vol.7 , pp. 141-144
    • Tran, T.D.1
  • 315
    • 0035673741 scopus 로고    scopus 로고
    • Fast multiplierless approximations of the DCT with the lifting scheme
    • Liang J., Tran T.D. Fast multiplierless approximations of the DCT with the lifting scheme. IEEE Transactions on Signal Processing December 2001, Vol. 49(No. 12):3032-3044.
    • (2001) IEEE Transactions on Signal Processing , vol.49 , Issue.12 , pp. 3032-3044
    • Liang, J.1    Tran, T.D.2
  • 322
    • 0036815321 scopus 로고    scopus 로고
    • An efficient multiplierless approximation of the Fast Fourier transform using sum-of-powers-of-two (SOPOT) coefficients
    • Chan S.C., Liu P.M. An efficient multiplierless approximation of the Fast Fourier transform using sum-of-powers-of-two (SOPOT) coefficients. IEEE Signal Processing Letters October 2002, Vol. 9(No. 10):322-325.
    • (2002) IEEE Signal Processing Letters , vol.9 , Issue.10 , pp. 322-325
    • Chan, S.C.1    Liu, P.M.2
  • 323
    • 0035127730 scopus 로고    scopus 로고
    • Integer discrete cosine transform and its fast algorithm
    • Errata: Electronics Letters. Vol. 37. No. 12, July 2001. p. 803.
    • Cheng L.Z., Xu H., Luo Y. Integer discrete cosine transform and its fast algorithm. Electronics Letters January 2001, Vol. 37(No. 1):64-65. Errata: Electronics Letters. Vol. 37. No. 12, July 2001. p. 803.
    • (2001) Electronics Letters , vol.37 , Issue.1 , pp. 64-65
    • Cheng, L.Z.1    Xu, H.2    Luo, Y.3
  • 324
    • 0034849229 scopus 로고    scopus 로고
    • Integer sinusoidal transforms based on lifting factorization
    • Zeng Y., Bi G., Lin Z. Integer sinusoidal transforms based on lifting factorization. Proceedings of the IEEE ICASSP'2001 May 2001, 1181-1184.
    • (2001) Proceedings of the IEEE ICASSP'2001 , pp. 1181-1184
    • Zeng, Y.1    Bi, G.2    Lin, Z.3
  • 326
    • 0036578595 scopus 로고    scopus 로고
    • Lifting factorization of discrete W transform
    • Zeng Y., Bi G., Lin Z. Lifting factorization of discrete W transform. Cricuits Systems and Signal Processing May-June 2002, Vol. 21(No. 3):277-298.
    • (2002) Cricuits Systems and Signal Processing , vol.21 , Issue.3 , pp. 277-298
    • Zeng, Y.1    Bi, G.2    Lin, Z.3
  • 329
    • 25444466884 scopus 로고    scopus 로고
    • Integer DCT-II by lifting steps
    • Birkhauser, Basel, W. Haussmann, K. Jetter, M. Reimer, J. Stokler (Eds.)
    • Plonka G., Tasche M. Integer DCT-II by lifting steps. International Series in Numerical Mathematics 2003, Vol. 145:235-252. Birkhauser, Basel. W. Haussmann, K. Jetter, M. Reimer, J. Stokler (Eds.).
    • (2003) International Series in Numerical Mathematics , vol.145 , pp. 235-252
    • Plonka, G.1    Tasche, M.2
  • 330
    • 1542397716 scopus 로고    scopus 로고
    • A global method for invertible integer DCT and integer wavelet algorithms
    • Plonka G. A global method for invertible integer DCT and integer wavelet algorithms. Applied and Computational Harmonic Analysis March 2004, Vol. 16(No. 2):79-110.
    • (2004) Applied and Computational Harmonic Analysis , vol.16 , Issue.2 , pp. 79-110
    • Plonka, G.1
  • 332
    • 0032596289 scopus 로고    scopus 로고
    • Design of lossless block transforms and filter banks for image coding
    • Komatsu K., Sezaki K. Design of lossless block transforms and filter banks for image coding. IEICE Transactions Fundamentals August 1999, Vol. E82-A(No. 8):1656-1664.
    • (1999) IEICE Transactions Fundamentals , vol.E82-A , Issue.8 , pp. 1656-1664
    • Komatsu, K.1    Sezaki, K.2
  • 333
  • 334
    • 0035500858 scopus 로고    scopus 로고
    • A new square wave transform based on DCT
    • Haweel T.I. A new square wave transform based on DCT. Signal Processing Nov. 2001, Vol. 81(No. 11):2309-2319.
    • (2001) Signal Processing , vol.81 , Issue.11 , pp. 2309-2319
    • Haweel, T.I.1
  • 340
    • 2342611170 scopus 로고    scopus 로고
    • Method for realising reversible integer type-IV discrete cosine transform
    • Huang H., Yu R., Lin X., Rahardja S. Method for realising reversible integer type-IV discrete cosine transform. Electronics Letters April 2004, Vol. 40(No. 8):514-515.
    • (2004) Electronics Letters , vol.40 , Issue.8 , pp. 514-515
    • Huang, H.1    Yu, R.2    Lin, X.3    Rahardja, S.4
  • 342
    • 18844459153 scopus 로고    scopus 로고
    • Low noise reversible MDCT (RMDCT) and its application in progressive-to-lossless embedded audio coding
    • Li J. Low noise reversible MDCT (RMDCT) and its application in progressive-to-lossless embedded audio coding. IEEE Transactions on Signal processing May 2005, Vol. 53(No. 5):1870-1880.
    • (2005) IEEE Transactions on Signal processing , vol.53 , Issue.5 , pp. 1870-1880
    • Li, J.1
  • 343
    • 25444462270 scopus 로고    scopus 로고
    • Worst-case error analysis of lifting-based fast DCT-algorithms
    • Primbs M. Worst-case error analysis of lifting-based fast DCT-algorithms. IEEE Transactions on Signal Processing August 2005, Vol. 53(No. 8):3211-3218. Part 2.
    • (2005) IEEE Transactions on Signal Processing , vol.53 , Issue.8 , pp. 3211-3218
    • Primbs, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.