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Volumn 78, Issue 1, 1990, Pages 56-93

Multirate Digital Filters, Filter Banks, Polyphase Networks, and Applications: A Tutorial

Author keywords

[No Author keywords available]

Indexed keywords

AUDIO SYSTEMS; ELECTRIC FILTERS, DIGITAL; SAMPLING; SIGNAL FILTERING AND PREDICTION;

EID: 0025244687     PISSN: 00189219     EISSN: 15582256     Source Type: Journal    
DOI: 10.1109/5.52200     Document Type: Article
Times cited : (708)

References (125)
  • 1
    • 0015639987 scopus 로고
    • A digital signal processing approach to interpolation
    • June
    • R. W. Schafer and L. R. Rabiner, "A digital signal processing approach to interpolation," Proc. IEEE, vol. 61, pp. 692–702, June 1973.
    • (1973) Proc. IEEE , vol.61 , pp. 692-702
    • Schafer, R.W.1    Rabiner, L.R.2
  • 3
    • 0019543409 scopus 로고
    • Interpolation and decimation of digital signals: A tutorial review
    • Mar.
    • R. E. Crochiere and L. R. Rabiner, "Interpolation and decimation of digital signals: A tutorial review," Proc. IEEE, vol. 69, pp. 300–331, Mar. 1981.
    • (1981) Proc. IEEE , vol.69 , pp. 300-331
    • Crochiere, R.E.1    Rabiner, L.R.2
  • 5
    • 0024123389 scopus 로고
    • A tutorial on multirate digital filter banks
    • Espoo, Finland, June
    • P. P. Vaidyanathan, "A tutorial on multirate digital filter banks," in Proc. IEEE Int. Symp. on Circuits and Systems, Espoo, Finland, June 1988, pp. 2241–2248.
    • (1988) Proc. IEEE Int. Symp. on Circuits and Systems , pp. 2241-2248
    • Vaidyanathan, P.P.1
  • 6
    • 0018982701 scopus 로고
    • Time-frequency representation of digital signals and systems based on short-time Fourier analysis
    • Feb.
    • M. R. Portnoff, "Time-frequency representation of digital signals and systems based on short-time Fourier analysis," IEEE Trans. Acoust. Speech Signal Proc., vol. 28, pp. 55–69, Feb. 1980.
    • (1980) IEEE Trans. Acoust. Speech Signal Proc. , vol.28 , pp. 55-69
    • Portnoff, M.R.1
  • 10
    • 0019675705 scopus 로고
    • Interpolators and decimators as periodically time varying filters
    • R. Ansari and Bede Liu, "Interpolators and decimators as periodically time varying filters," in Proc. IEEE Int. Symp. Circuits and Systems, 1981, pp. 447–450.
    • (1981) Proc. IEEE Int. Symp. Circuits and Systems , pp. 447-450
    • Ansari, R.1    Liu, B.2
  • 11
    • 0016940547 scopus 로고
    • Digital filtering by polyphase network: Application to sample rate alteration and filter banks
    • Apr.
    • M. Bellanger, G. Bonnerot, and M. Coudreuse, "Digital filtering by polyphase network: Application to sample rate alteration and filter banks," IEEE Trans. Acoust. Speech Signal Proc., vol. 24, pp. 109–114, Apr. 1976.
    • (1976) IEEE Trans. Acoust. Speech Signal Proc. , vol.24 , pp. 109-114
    • Bellanger, M.1    Bonnerot, G.2    Coudreuse, M.3
  • 12
    • 0022907086 scopus 로고
    • Theory and design of uniform DFT, parallel, quadrature mirror filter banks
    • Dec.
    • K. Swaminathan and P. P. Vaidyanathan, "Theory and design of uniform DFT, parallel, quadrature mirror filter banks," IEEE Trans. Circuits Syst., vol. 33, pp. 1170–1191, Dec. 1986.
    • (1986) IEEE Trans. Circuits Syst. , vol.33 , pp. 1170-1191
    • Swaminathan, K.1    Vaidyanathan, P.P.2
  • 13
    • 0019632735 scopus 로고
    • A comprehensive survey of digital transmultiplexing methods
    • Nov.
    • H. Scheuermann and H. Cockier, "A comprehensive survey of digital transmultiplexing methods," Proc. IEEE, vol. 69, pp. 1419–1450, Nov. 1981.
    • (1981) Proc. IEEE , vol.69 , pp. 1419-1450
    • Scheuermann, H.1    Cockier, H.2
  • 14
  • 15
    • 84944993327 scopus 로고
    • Special Issue on Digital Audio
    • Oct.
    • Special Issue on Digital Audio, IEEE ASSP Mag., vol. 2, Oct. 1985.
    • (1985) IEEE ASSP Mag. , vol.2
  • 16
    • 0002724587 scopus 로고
    • Design and implementation of digital FIR filters
    • D. F. Elliott, Ed. New York: Academic
    • P. P. Vaidyanathan, "Design and implementation of digital FIR filters," in Handbook on Digital Signal Processing, D. F. Elliott, Ed. New York: Academic, 1987, pp. 55–172.
    • (1987) Handbook on Digital Signal Processing , pp. 55-172
    • Vaidyanathan, P.P.1
  • 18
    • 0016958187 scopus 로고
    • On the design of sub-band coders for low bit rate speech communication
    • May-June
    • R. E. Crochiere, "On the design of sub-band coders for low bit rate speech communication," Bell Syst. Tech. J., pp. 747– 771, May-June 1977.
    • (1977) Bell Syst. Tech. J. , pp. 747-771
    • Crochiere, R.E.1
  • 19
    • 0019610326 scopus 로고
    • Sub-band coding
    • Sept.
    • R. E. Crochiere, "Sub-band coding," Bell Syst. Tech. J., pp. 1633–1654, Sept. 1981.
    • (1981) Bell Syst. Tech. J. , pp. 1633-1654
    • Crochiere, R.E.1
  • 22
    • 0023779586 scopus 로고
    • Image coding based on selective quantization of the reconstruction noise in the dominant sub-band
    • Apr.
    • R. J. Safranek, K. MacKay, N. S. Jayant, and T. Kim, "Image coding based on selective quantization of the reconstruction noise in the dominant sub-band," in Proc. IEEE Int. Conf. on ASSP, Apr. 1988, pp. 765–768.
    • (1988) Proc. IEEE Int. Conf. on ASSP , pp. 765-768
    • Safranek, R.J.1    MacKay, K.2    Jayant, N.S.3    Kim, T.4
  • 23
    • 0023242728 scopus 로고
    • Subband coding of images with octave band tree structures
    • Dallas, TX, Apr.
    • M. J. T. Smith and S. L. Eddins, "Subband coding of images with octave band tree structures," in Proc. IEEE Int. Conf. on ASSP, Dallas, TX, Apr. 1987, pp. 1382–1385.
    • (1987) Proc. IEEE Int. Conf. on ASSP , pp. 1382-1385
    • Smith, M.J.T.1    Eddins, S.L.2
  • 25
    • 0021409008 scopus 로고
    • Multi-dimensional sub-band coding: some theory and algorithms
    • Apr.
    • M. Vetterli, "Multi-dimensional sub-band coding: some theory and algorithms," Signal Proc., vol. 6, pp. 97–112, Apr. 1984.
    • (1984) Signal Proc. , vol.6 , pp. 97-112
    • Vetterli, M.1
  • 26
    • 0022941255 scopus 로고
    • Sub-band coding of digital images using two dimensional quadrature mirror filtering
    • Cambridge, MA, Sept.
    • H. Charavi and A. Tabatabai, "Sub-band coding of digital images using two dimensional quadrature mirror filtering," in Proc. SPIE Conf. on Visual Comm. and Image Proc., vol. 707, Cambridge, MA, Sept. 1986, pp. 51–61.
    • (1986) Proc. SPIE Conf. on Visual Comm. and Image Proc. , vol.707 , pp. 51-61
    • Charavi, H.1    Tabatabai, A.2
  • 27
    • 0023962958 scopus 로고
    • Sub-band coding of monochrome and color images
    • Feb.
    • H. Gharavi and A. Tabatabai, "Sub-band coding of monochrome and color images," IEEE Trans. Circuits Syst., vol. 35, pp. 207–214, Feb. 1988.
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , pp. 207-214
    • Gharavi, H.1    Tabatabai, A.2
  • 28
    • 0021412027 scopus 로고
    • Vector quantization
    • Apr.
    • R. M. Gray, "Vector quantization," IEEE ASSP Mag., vol. 1, pp. 4–29, Apr. 1984.
    • (1984) IEEE ASSP Mag. , vol.1 , pp. 4-29
    • Gray, R.M.1
  • 30
    • 0024069085 scopus 로고
    • Classical sampling theorems in the context of multirate and polyphase digital filter bank structures
    • Sept.
    • P. P. Vaidyanathan and Vincent C. Liu, "Classical sampling theorems in the context of multirate and polyphase digital filter bank structures," IEEE Trans. Acoust. Speech Signal Proc., vol. 36, pp. 1480–1495, Sept. 1988.
    • (1988) IEEE Trans. Acoust. Speech Signal Proc. , vol.36 , pp. 1480-1495
    • Vaidyanathan, P.P.1    Liu, V.C.2
  • 31
    • 0023327065 scopus 로고
    • Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having perfect reconstruction property
    • Apr.
    • P. P. Vaidyanathan, "Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having perfect reconstruction property," IEEE Trans. Acoust. Speech Signal Proc., vol. 35, pp. 476–492, Apr. 1987.
    • (1987) IEEE Trans. Acoust. Speech Signal Proc. , vol.35 , pp. 476-492
    • Vaidyanathan, P.P.1
  • 32
    • 0023263679 scopus 로고
    • Polyphase filter matrix for rational sampling rate conversions
    • Dallas, TX, Apr.
    • C. C. Hsiao, "Polyphase filter matrix for rational sampling rate conversions," in Proc. IEEE Int. Conf. on ASSP, Dallas, TX, Apr. 1987, pp. 2173–2176.
    • (1987) Proc. IEEE Int. Conf. on ASSP , pp. 2173-2176
    • Hsiao, C.C.1
  • 34
    • 0024932045 scopus 로고
    • Practical consideration for a continuous time digital spectrum analyzer
    • Portland, OR, in May
    • T. Thong, "Practical consideration for a continuous time digital spectrum analyzer," in Proc. IEEE Int. Symp. on Circuits and Systems, Portland, OR, in May 1989, pp. 1047–1050.
    • (1989) Proc. IEEE Int. Symp. on Circuits and Systems , pp. 1047-1050
    • Thong, T.1
  • 35
    • 0020192336 scopus 로고
    • On half-band, third-band and Nth band FIR filters and their design
    • Oct.
    • F. Mintzer, "On half-band, third-band and Nth band FIR filters and their design," IEEE Trans. Acoust. Speech Signal Proc., vol. 30, pp. 734–738, Oct. 1982.
    • (1982) IEEE Trans. Acoust. Speech Signal Proc. , vol.30 , pp. 734-738
    • Mintzer, F.1
  • 36
    • 0023313296 scopus 로고
    • A trick for the design of FIR half-band filters
    • Mar.
    • P. P. Vaidyanathan and T. Q. Nguyen, "A trick for the design of FIR half-band filters," IEEE Trans. Circuits Syst., vol. 34, pp. 297–300, Mar. 1987.
    • (1987) IEEE Trans. Circuits Syst. , vol.34 , pp. 297-300
    • Vaidyanathan, P.P.1    Nguyen, T.Q.2
  • 37
    • 0015626007 scopus 로고
    • A new approach to optimum pulse shaping in sampled systems using time-domain filtering
    • May-June
    • K. H. Mueller, "A new approach to optimum pulse shaping in sampled systems using time-domain filtering," Bell Syst. Tech. J., vol. 52, pp. 723–729, May-June 1973.
    • (1973) Bell Syst. Tech. J. , vol.52 , pp. 723-729
    • Mueller, K.H.1
  • 38
    • 0023108362 scopus 로고
    • Eigenfilters: A new approach to least-squares FIR filter design and applications including Nyquist filters
    • Jan.
    • P. P. Vaidyanathan and T. Q. Nguyen, "Eigenfilters: A new approach to least-squares FIR filter design and applications including Nyquist filters," IEEE Trans. Circuits Syst., vol. 34, pp. 11–23, Jan. 1987.
    • (1987) IEEE Trans. Circuits Syst. , vol.34 , pp. 11-23
    • Vaidyanathan, P.P.1    Nguyen, T.Q.2
  • 39
    • 0023090322 scopus 로고
    • Recursive Nth band digital filters, Parts I and II
    • Jan.
    • M. Renfors and T. Saramaki, "Recursive Nth band digital filters, Parts I and II," IEEE Trans. Circuits Syst., vol. 34, pp. 24–51, Jan. 1987.
    • (1987) IEEE Trans. Circuits Syst. , vol.34 , pp. 24-51
    • Renfors, M.1    Saramaki, T.2
  • 40
    • 0020127885 scopus 로고
    • A fast procedure to design equiripple minimum-phase FIR filters
    • May
    • G. A. Mian and A. P. Nainer, "A fast procedure to design equiripple minimum-phase FIR filters," IEEE Trans. Circuits Syst., vol. 29, pp. 327–331, May 1982.
    • (1982) IEEE Trans. Circuits Syst. , vol.29 , pp. 327-331
    • Mian, G.A.1    Nainer, A.P.2
  • 41
    • 0020848033 scopus 로고
    • A lattice algorithm for factoring the spectrum of a moving average process
    • Nov.
    • B. Friedlander, "A lattice algorithm for factoring the spectrum of a moving average process," IEEE Trans. Automatic Cont., vol. 28, pp. 1051–1055, Nov. 1983.
    • (1983) IEEE Trans. Automatic Cont. , vol.28 , pp. 1051-1055
    • Friedlander, B.1
  • 42
    • 0022700958 scopus 로고
    • A new approach to the realization of low sensitivity IIR digital filters
    • Apr.
    • P. P. Vaidyanathan, S. K. Mitra, and Y. Neuvo, "A new approach to the realization of low sensitivity IIR digital filters," IEEE Trans. Acoust. Speech Signal Proc., vol. 34, pp. 350–361, Apr. 1986.
    • (1986) IEEE Trans. Acoust. Speech Signal Proc. , vol.34 , pp. 350-361
    • Vaidyanathan, P.P.1    Mitra, S.K.2    Neuvo, Y.3
  • 43
    • 0023331919 scopus 로고
    • Design of doubly complementary IIR digital filters using a single complex allpass filter, with multirate applications
    • Apr.
    • P. P. Vaidyanathan, P. Regalia, and S. K. Mitra, "Design of doubly complementary IIR digital filters using a single complex allpass filter, with multirate applications," IEEE Trans. Circuits Syst., vol. 34, pp. 378–389 Apr. 1987.
    • (1987) IEEE Trans. Circuits Syst. , vol.34 , pp. 378-389
    • Vaidyanathan, P.P.1    Regalia, P.2    Mitra, S.K.3
  • 44
    • 0023136412 scopus 로고
    • Active RC crossover networks with adjustable characteristics
    • Jan-Feb.
    • P. A. Regalia, N. Fujii, S. K. Mitra, and Y. Neuvo, "Active RC crossover networks with adjustable characteristics," J. Audio Engr. Soc., pp. 24–30, Jan-Feb. 1987.
    • (1987) J. Audio Engr. Soc. , pp. 24-30
    • Regalia, P.A.1    Fujii, N.2    Mitra, S.K.3    Neuvo, Y.4
  • 45
    • 0022718015 scopus 로고
    • A new three-way allpass crossover network design
    • May
    • R. M. Bullock III, "A new three-way allpass crossover network design," J. Audio Engr. Soc., pp. 315-322, May 1986.
    • (1986) J. Audio Engr. Soc. , pp. 315-322
    • Bullock, R.M.1
  • 46
    • 0040267909 scopus 로고
    • Perfect channel splitting by use of interpolation/decimation/tree decomposition techniques
    • Circuits, and Systems, Patras, Greece
    • A. Croisier, D. Esteban, and C. Galand, "Perfect channel splitting by use of interpolation/decimation/tree decomposition techniques," presented at Int. Symp. on Info., Circuits, and Systems, Patras, Greece, 1976.
    • (1976) presented at Int. Symp. on Info.
    • Croisier, A.1    Esteban, D.2    Galand, C.3
  • 48
    • 0019176143 scopus 로고
    • A filter family designed for use in quadrature mirror filter banks
    • Apr.
    • J. D. Johnston, "A filter family designed for use in quadrature mirror filter banks," in Proc. IEEE Int. Conf. ASSP, Apr. 1980, pp. 291–294.
    • (1980) Proc. IEEE Int. Conf. ASSP , pp. 291-294
    • Johnston, J.D.1
  • 49
  • 50
    • 0023383122 scopus 로고
    • Quadrature mirror filter banks, M-band extensions and perfect-reconstruction techniques
    • July
    • P. P. Vaidyanathan, "Quadrature mirror filter banks, M-band extensions and perfect-reconstruction techniques," IEEE ASSP Mag., vol. 4, pp. 4–20, July 1987.
    • (1987) IEEE ASSP Mag. , vol.4 , pp. 4-20
    • Vaidyanathan, P.P.1
  • 51
    • 0021784916 scopus 로고
    • Explicit formulas for lattice wave digital filters
    • Jan.
    • L. Gaszi, "Explicit formulas for lattice wave digital filters," IEEE Trans. Circuits Syst., vol. 32, pp. 68–88, Jan. 1985.
    • (1985) IEEE Trans. Circuits Syst. , vol.32 , pp. 68-88
    • Gaszi, L.1
  • 52
  • 53
    • 0019021285 scopus 로고
    • Passive cascaded lattice digital filters
    • May
    • A. H. Gray, Jr., "Passive cascaded lattice digital filters," IEEE Trans. Circuits Syst., vol. 27, pp. 337–344, May 1980.
    • (1980) IEEE Trans. Circuits Syst. , vol.27 , pp. 337-344
    • Gray, A.H.1
  • 54
    • 0022739248 scopus 로고
    • Exact reconstruction techniques for tree-structured sub-band coders
    • June
    • M. J. T. Smith and T. P. Barnwell III, "Exact reconstruction techniques for tree-structured sub-band coders," IEEE Trans. ASSP, pp. 434–441, June 1986.
    • (1986) IEEE Trans. ASSP , pp. 434-441
    • Smith, M.J.T.1    Barnwell, T.P.2
  • 55
    • 0023800713 scopus 로고
    • The design of tree-structured M-channel filter banks using perfect reconstruction filter blocks
    • New York, NY, Apr.
    • E. Viscito and J. Allebach, "The design of tree-structured M-channel filter banks using perfect reconstruction filter blocks," in Proc. IEEE Int. Conf. on ASSP, New York, NY, Apr. 1988, pp. 1475–1478.
    • (1988) Proc. IEEE Int. Conf. on ASSP , pp. 1475-1478
    • Viscito, E.1    Allebach, J.2
  • 59
    • 84933797613 scopus 로고
    • Digital filter structures related to classical filter networks
    • New York: IEEE ASSP Society, IEEE Press
    • A. Fettweis, "Digital filter structures related to classical filter networks," in Digital Signal Processing II. New York: IEEE ASSP Society, IEEE Press, 1975, pp. 475–485.
    • (1975) Digital Signal Processing II , pp. 475-485
    • Fettweis, A.1
  • 60
    • 0021405278 scopus 로고
    • Low passband sensitivity digital filters: A generalized viewpoint and synthesis procedures
    • P. P. Vaidyanathan and S. K. Mitra, "Low passband sensitivity digital filters: A generalized viewpoint and synthesis procedures," Proc. IEEE, vol. 72, pp. 404–423, Apr. 1984.
    • (1984) Proc. IEEE , vol.72 , pp. 404-423
    • Vaidyanathan, P.P.1    Mitra, S.K.2
  • 61
    • 0023329572 scopus 로고
    • A unified structural interpretation of some well-known stability-test procedures for linear systems
    • Apr.
    • P. P. Vaidyanathan and S. K. Mitra, "A unified structural interpretation of some well-known stability-test procedures for linear systems," Proc. IEEE, vol. 75, pp. 478–497, Apr. 1987.
    • (1987) Proc. IEEE , vol.75 , pp. 478-497
    • Vaidyanathan, P.P.1    Mitra, S.K.2
  • 63
    • 0024701323 scopus 로고
    • Improved approach for design of perfect reconstruction FIR QMF banks with lossless polyphase structures
    • July (to appear).
    • P. P. Vaidyanathan, T. Q. Nguyen, Z. Doganata, and T. Saramaki, "Improved approach for design of perfect reconstruction FIR QMF banks with lossless polyphase structures," IEEE Trans. Acoust. Speech Signal Proc., vol. 37, July 1989 (to appear).
    • (1989) IEEE Trans. Acoust. Speech Signal Proc. , vol.37
    • Vaidyanathan, P.P.1    Nguyen, T.Q.2    Doganata, Z.3    Saramaki, T.4
  • 64
    • 0024088581 scopus 로고
    • General synthesis procedures for FIR lossless transfer matrices, for perfect-reconstruction multirate filter bank applications
    • Oct.
    • Z. Doğanata, P. P. Vaidyanathan, and T. Q. Nguyen, "General synthesis procedures for FIR lossless transfer matrices, for perfect-reconstruction multirate filter bank applications," IEEE Trans. Acoust. Speech Signal Proc., vol. 36, pp. 1561–1574, Oct. 1988.
    • (1988) IEEE Trans. Acoust. Speech Signal Proc. , vol.36 , pp. 1561-1574
    • Doğanata, Z.1    Vaidyanathan, P.P.2    Nguyen, T.Q.3
  • 65
    • 0023826778 scopus 로고
    • Lattice structures for optimal design and robust implementation of two-channel perfect reconstruction QMF banks
    • Jan.
    • P. P. Vaidyanathan and P.-Q. Hoang, "Lattice structures for optimal design and robust implementation of two-channel perfect reconstruction QMF banks," IEEE Trans. Acoust. Speech Signal Proc., vol. 36, pp. 81–94, Jan. 1988.
    • (1988) IEEE Trans. Acoust. Speech Signal Proc. , vol.36 , pp. 81-94
    • Vaidyanathan, P.P.1    Hoang, P.-Q.2
  • 66
    • 0022082034 scopus 로고
    • Filters for distortion-free two-band multirate filter banks
    • June
    • F. Mintzer, "Filters for distortion-free two-band multirate filter banks," IEEE Trans. Acoust. Speech Signal Proc, vol. 33, pp. 626–630, June 1985.
    • (1985) IEEE Trans. Acoust. Speech Signal Proc. , vol.33 , pp. 626-630
    • Mintzer, F.1
  • 67
    • 0024663386 scopus 로고
    • Two-channel perfect reconstruction FIR QMF structures which yield linear phase FIR analysis and synthesis filters
    • May
    • T. Q. Nguyen and P. P. Vaidyanathan,"Two-channel perfect reconstruction FIR QMF structures which yield linear phase FIR analysis and synthesis filters," IEEE Trans. Acoust. Speech Signal Proc., vol. 37, pp. 676–690, May 1989.
    • (1989) IEEE Trans. Acoust. Speech Signal Proc. , vol.37 , pp. 676-690
    • Nguyen, T.Q.1    Vaidyanathan, P.P.2
  • 68
    • 0022230649 scopus 로고
    • Quadrature mirror filters with perfect reconstruction and reduced computational complexity
    • Apr.
    • C. R. Galand and H.J. Nussbaumer, "Quadrature mirror filters with perfect reconstruction and reduced computational complexity," in Proc. IEEE Int. Conf. on ASSP, Apr. 1985, pp. 525–528.
    • (1985) Proc. IEEE Int. Conf. on ASSP , pp. 525-528
    • Galand, C.R.1    Nussbaumer, H.J.2
  • 69
    • 0023533269 scopus 로고
    • On one-multiplier implementations of FIR lattice structures
    • Dec.
    • Z. Doğanata and P. P. Vaidyanathan, "On one-multiplier implementations of FIR lattice structures," IEEE Trans. Circuits Syst., vol. 34, pp. 1608–1609, Dec. 1987.
    • (1987) IEEE Trans. Circuits Syst. , vol.34 , pp. 1608-1609
    • Doğanata, Z.1    Vaidyanathan, P.P.2
  • 70
    • 0023981024 scopus 로고
    • Polyphase networks, block digital filtering, LPTV systems, and alias-free QMF banks: A unified approach based on pseudocirculants
    • Mar.
    • P. P. Vaidyanathan and S. K. Mitra, "Polyphase networks, block digital filtering, LPTV systems, and alias-free QMF banks: A unified approach based on pseudocirculants," IEEE Trans. Acoust. Speech Signal Proc., vol. 36, pp. 381– 391, Mar. 1988.
    • (1988) IEEE Trans. Acoust. Speech Signal Proc. , vol.36 , pp. 381-391
    • Vaidyanathan, P.P.1    Mitra, S.K.2
  • 72
    • 0023164707 scopus 로고
    • A new filter-bank theory for time-frequency representation
    • Mar.
    • M. J. T. Smith and T. P. Barnwell, III, "A new filter-bank theory for time-frequency representation," IEEE Trans. Acoust. Speech Signal Proc., vol. 35, pp. 314–327, Mar. 1987.
    • (1987) IEEE Trans. Acoust. Speech Signal Proc. , vol.35 , pp. 314-327
    • Smith, M.J.T.1    Barnwell, T.P.2
  • 73
    • 0015160674 scopus 로고
    • Block implementation of digital filters
    • Nov.
    • C. S. Burrus, "Block implementation of digital filters," IEEE Trans. Circuit Theory, vol. 18, pp. 697–701, Nov. 1971.
    • (1971) IEEE Trans. Circuit Theory , vol.18 , pp. 697-701
    • Burrus, C.S.1
  • 74
    • 0017957908 scopus 로고
    • Block implementation of recursive digital filters: New structures and properties
    • Apr.
    • S. K. Mitra and R. Gnanasekaran, "Block implementation of recursive digital filters: New structures and properties," IEEE Trans. Circuits Syst., vol. 25, pp. 200–207, Apr. 1978.
    • (1978) IEEE Trans. Circuits Syst. , vol.25 , pp. 200-207
    • Mitra, S.K.1    Gnanasekaran, R.2
  • 75
    • 0019047476 scopus 로고
    • Block-shift invariance and block implementation of discrete-time filters
    • Aug.
    • C. W. Barnes and S. Shinnaka, "Block-shift invariance and block implementation of discrete-time filters," IEEE Trans. Circuits Syst., vol. 27, pp. 667–672, Aug. 1980.
    • (1980) IEEE Trans. Circuits Syst. , vol.27 , pp. 667-672
    • Barnes, C.W.1    Shinnaka, S.2
  • 78
    • 0024013599 scopus 로고
    • Running FIR and IIR filtering using multirate filter banks
    • May
    • M. Vetterli, "Running FIR and IIR filtering using multirate filter banks," IEEE Trans. Acoust. Speech Signal Proc., vol. 36, pp. 730–738, May 1988.
    • (1988) IEEE Trans. Acoust. Speech Signal Proc. , vol.36 , pp. 730-738
    • Vetterli, M.1
  • 79
    • 0023562071 scopus 로고
    • Fast FIR filtering: Algorithms and implementations
    • Dec.
    • Z. J. Mou and P. Duhamel, "Fast FIR filtering: Algorithms and implementations," Signal Proc., vol. 13, pp. 377-384, Dec. 1987.
    • (1987) Signal Proc. , vol.13 , pp. 377-384
    • Mou, Z.J.1    Duhamel, P.2
  • 80
    • 0022694921 scopus 로고
    • Filter banks allowing for perfect reconstruction
    • Apr.
    • M. Vetterli, "Filter banks allowing for perfect reconstruction," Signal Proc., vol. 10, pp. 219–244, Apr. 1986.
    • (1986) Signal Proc. , vol.10 , pp. 219-244
    • Vetterli, M.1
  • 81
    • 0022121014 scopus 로고
    • The discrete-time bounded-real lemma in digital filtering
    • Sept.
    • P. P. Vaidyanathan, "The discrete-time bounded-real lemma in digital filtering," IEEE Trans. Circuits Syst., vol. 32, pp. 918– 924, Sept. 1985.
    • (1985) IEEE Trans. Circuits Syst. , vol.32 , pp. 918-924
    • Vaidyanathan, P.P.1
  • 82
    • 0025445471 scopus 로고
    • On factorization of 2D digital FIR lossless matrices for 2D QMF bank applications
    • to appear
    • V. C. Liu and P. P. Vaidyanathan, "On factorization of 2D digital FIR lossless matrices for 2D QMF bank applications," IEEE Trans. Circuits Syst., to appear, 1990.
    • (1990) IEEE Trans. Circuits Syst.
    • Liu, V.C.1    Vaidyanathan, P.P.2
  • 83
    • 0022809665 scopus 로고
    • Passive cascaded lattice structures for low sensitivity FIR filter design, with applications to filter banks
    • Nov.
    • P. P. Vaidyanathan, "Passive cascaded lattice structures for low sensitivity FIR filter design, with applications to filter banks," IEEE Trans. Circuits Syst., vol. 33, pp. 1045–1064, Nov. 1986.
    • (1986) IEEE Trans. Circuits Syst. , vol.33 , pp. 1045-1064
    • Vaidyanathan, P.P.1
  • 86
    • 84944993329 scopus 로고    scopus 로고
    • The IMSL Library: A set of Fortran subroutines for mathematics and statistics.
    • The IMSL Library: A set of Fortran subroutines for mathematics and statistics.
  • 87
    • 84944993330 scopus 로고    scopus 로고
    • Design techniques for M-channel perfect reconstruction FIR QMF structures which yield linear-phase maximally free analysis filters
    • to appear.
    • T. Q. Nguyen and P. P. Vaidyanathan, "Design techniques for M-channel perfect reconstruction FIR QMF structures which yield linear-phase maximally free analysis filters," IEEE Trans. Acoustics Speech Signal Proc., to appear.
    • IEEE Trans. Acoustics Speech Signal Proc.
    • Nguyen, T.Q.1    Vaidyanathan, P.P.2
  • 88
    • 0020547005 scopus 로고
    • Polyphase quadrature filters, a new sub-band coding technique
    • Boston, MA, Apr.
    • J. H. Rothweiler, "Polyphase quadrature filters, a new sub-band coding technique," in Proc. IEEE Int. Conf. on ASSP, Boston, MA, Apr. 1983, pp. 1980–1983.
    • (1983) Proc. IEEE Int. Conf. on ASSP , pp. 1980-1983
    • Rothweiler, J.H.1
  • 89
    • 0022010971 scopus 로고
    • Quadrature mirror filter design for an arbitrary number of equal bandwidth channels
    • Feb.
    • P. L. Chu, "Quadrature mirror filter design for an arbitrary number of equal bandwidth channels," IEEE Trans. Acoust. Speech Signal Proc., vol. 33, pp. 203–218, Feb. 1985.
    • (1985) IEEE Trans. Acoust. Speech Signal Proc. , vol.33 , pp. 203-218
    • Chu, P.L.1
  • 90
    • 0024011418 scopus 로고
    • Maximally decimated perfect-reconstruction FIR filter banks with pairwise mirror-image analysis (and synthesis) frequency responses
    • May.
    • T. Q. Nguyen and P. P. Vaidyanathan, "Maximally decimated perfect-reconstruction FIR filter banks with pairwise mirror-image analysis (and synthesis) frequency responses," IEEE Trans. Acoust. Speech Signal Proc., vol. 36, pp. 693–706, May 1988.
    • (1988) IEEE Trans. Acoust. Speech Signal Proc. , vol.36 , pp. 693-706
    • Nguyen, T.Q.1    Vaidyanathan, P.P.2
  • 91
    • 0023704010 scopus 로고
    • Reduction of blocking effects in image coding with a lapped orthogonal transform
    • New York, Apr.
    • H. S. Malvar and D. H. Staelin, "Reduction of blocking effects in image coding with a lapped orthogonal transform," in Proc. IEEE Int. Conf. on ASSP, New York, Apr. 1988, pp. 781–784.
    • (1988) Proc. IEEE Int. Conf. on ASSP , pp. 781-784
    • Malvar, H.S.1    Staelin, D.H.2
  • 92
    • 0024699807 scopus 로고
    • Perfect reconstruction FIR filter banks: Some properties and factorizations
    • to appear
    • M. Vetterli and D. Le Gall, "Perfect reconstruction FIR filter banks: Some properties and factorizations," IEEE Trans. Acoustics Speech Signal Proc., to appear, 1990.
    • (1990) IEEE Trans. Acoustics Speech Signal Proc.
    • Vetterli, M.1    Le Gall, D.2
  • 93
    • 0022794595 scopus 로고
    • Analysis/synthesis filter bank design based on time domain aliasing cancellation
    • Oct.
    • J. P. Princen and A. B. Bradley, "Analysis/synthesis filter bank design based on time domain aliasing cancellation," IEEE Trans. Acoustics Speech Signal Proc., vol. 23, pp. 1153– 1161, Oct. 1986.
    • (1986) IEEE Trans. Acoustics Speech Signal Proc. , vol.23 , pp. 1153-1161
    • Princen, J.P.1    Bradley, A.B.2
  • 94
    • 84911837213 scopus 로고
    • Communications in the presence of noise
    • Jan.
    • C.E. Shannon, "Communications in the presence of noise," Proc. IRE, vol. 37, pp. 10–21, Jan. 1949.
    • (1949) Proc. IRE , vol.37 , pp. 10-21
    • Shannon, C.E.1
  • 95
    • 84959600837 scopus 로고
    • The Fourier theory of the cardinal functions
    • J. M. Whittaker, "The Fourier theory of the cardinal functions," Proc. Math. Soc. Edinburgh, vol. 1, pp. 169–176,1929.
    • (1929) Proc. Math. Soc. Edinburgh , vol.1 , pp. 169-176
    • Whittaker, J.M.1
  • 96
    • 0017558676 scopus 로고
    • The Shannon sampling theorem—Its various extensions and applications: A tutorial review
    • Nov.
    • A. J. Jerri, "The Shannon sampling theorem—Its various extensions and applications: A tutorial review," Proc. IEEE, pp. 1565–1596, Nov. 1977.
    • (1977) Proc. IEEE , pp. 1565-1596
    • Jerri, A.J.1
  • 98
    • 0019530054 scopus 로고
    • Multi-channel sampling of lowpass signals
    • Feb.
    • J. L. Brown, Jr., "Multi-channel sampling of lowpass signals," IEEE Trans. Circuits Syst., vol. 28, pp. 101–106, Feb. 1981.
    • (1981) IEEE Trans. Circuits Syst. , vol.28 , pp. 101-106
    • Brown, J.L.1
  • 99
    • 0017554734 scopus 로고
    • Generalized sampling expansion
    • Nov.
    • A. Papoulis, "Generalized sampling expansion," IEEE Trans. Circuits Syst., pp. 652–654, Nov. 1977.
    • (1977) IEEE Trans. Circuits Syst. , pp. 652-654
    • Papoulis, A.1
  • 100
    • 0024070872 scopus 로고
    • Compression of two-dimensional band-limited signals using sub-sampling theorems
    • India
    • P. P. Vaidyanathan and V. C. Liu, "Compression of two-dimensional band-limited signals using sub-sampling theorems," J. Institution Electron. Telecomm. Eng., India, vol. 34, no. 5, pp. 416–422, 1988.
    • (1988) J. Institution Electron. Telecomm. Eng. , vol.34 , Issue.5 , pp. 416-422
    • Vaidyanathan, P.P.1    Liu, V.C.2
  • 101
    • 0025521840 scopus 로고
    • Efficient reconstruction of bandlimited signals from nonuniformly decimated versions by use of polyphase filter banks
    • Nov. to appear.
    • V. C. Liu and P. P. Vaidyanathan, "Efficient reconstruction of bandlimited signals from nonuniformly decimated versions by use of polyphase filter banks," IEEE Trans. Acoust. Speech and Signal Processing, Nov. 1990, to appear.
    • (1990) IEEE Trans. Acoust. Speech and Signal Processing
    • Liu, V.C.1    Vaidyanathan, P.P.2
  • 103
    • 0022700997 scopus 로고
    • Frequency response masking approach for the synthesis of sharp linear phase digital filters
    • Apr.
    • Y. C. Lim, "Frequency response masking approach for the synthesis of sharp linear phase digital filters," IEEE Trans. Circuits Syst., vol. 33, pp. 357–364, Apr. 1986.
    • (1986) IEEE Trans. Circuits Syst. , vol.33 , pp. 357-364
    • Lim, Y.C.1
  • 104
  • 107
    • 0018056286 scopus 로고
    • Adaptive filtering in the frequency domain
    • Dec.
    • M. Dentino, J. McCool, and B. Widrow, "Adaptive filtering in the frequency domain," Proc. IEEE, vol. 66, pp. 1658–1659, Dec. 1978.
    • (1978) Proc. IEEE , vol.66 , pp. 1658-1659
    • Dentino, M.1    McCool, J.2    Widrow, B.3
  • 108
    • 0023776849 scopus 로고
    • Adaptive filtering in sub-bands
    • New York, Apr.
    • A. Gilloire and M. Vetterli, "Adaptive filtering in sub-bands," in Proc. IEEE Int. Conf. on ASSP, New York, Apr. 1988, pp. 1572–1575.
    • (1988) Proc. IEEE Int. Conf. on ASSP , pp. 1572-1575
    • Gilloire, A.1    Vetterli, M.2
  • 109
    • 0004058546 scopus 로고
    • Multidimensional digital signal processing
    • Englewood Cliffs, NJ: Prentice Hall
    • D. E. Dudgeon and R. M. Mersereau, "Multidimensional digital signal processing," Englewood Cliffs, NJ: Prentice Hall, 1984.
    • (1984)
    • Dudgeon, D.E.1    Mersereau, R.M.2
  • 110
    • 0001069518 scopus 로고
    • Sampling and reconstruction of wave-number limited functions in N-dimen-sional Euclidean spaces
    • D. P. Petersen and D. Middleton, "Sampling and reconstruction of wave-number limited functions in N-dimen-sional Euclidean spaces," Inform. Control, vol. 5, pp. 279– 323, 1962.
    • (1962) Inform. Control , vol.5 , pp. 279-323
    • Petersen, D.P.1    Middleton, D.2
  • 111
    • 0018486624 scopus 로고
    • The processing of hexagonally sampled two-dimensional signals
    • June
    • R. M. Mersereau, "The processing of hexagonally sampled two-dimensional signals," Proc. IEEE, vol. 67, pp. 930–949, June 1979.
    • (1979) Proc. IEEE , vol.67 , pp. 930-949
    • Mersereau, R.M.1
  • 113
    • 0022052153 scopus 로고
    • The sampling and reconstruction of time-varying imagery with application in video systems
    • Apr.
    • E. Dubois, "The sampling and reconstruction of time-varying imagery with application in video systems," Proc. IEEE, vol. 73, pp. 502–522, Apr. 1985.
    • (1985) Proc. IEEE , vol.73 , pp. 502-522
    • Dubois, E.1
  • 114
    • 0020707985 scopus 로고
    • The processing of periodically sampled multidimensional signals
    • Feb.
    • R. M. Mersereau and T. C. Speake, "The processing of periodically sampled multidimensional signals," IEEE Trans. Acoust. Speech Signal Proc., vol. 31, pp. 188–194, Feb. 1983.
    • (1983) IEEE Trans. Acoust. Speech Signal Proc. , vol.31 , pp. 188-194
    • Mersereau, R.M.1    Speake, T.C.2
  • 115
    • 0024124150 scopus 로고
    • IIR filterbank for subband coding of images
    • Espoo, Finland, June
    • T. A. Ramstad, "IIR filterbank for subband coding of images," in Proc. IEEE Int. Symp. on Circuits and Systems, Espoo, Finland, June 1988, pp. 827–830.
    • (1988) Proc. IEEE Int. Symp. on Circuits and Systems , pp. 827-830
    • Ramstad, T.A.1
  • 116
    • 0023400146 scopus 로고
    • Perfect reconstruction QMF banks for two-dimensional applications
    • Aug.
    • P. P. Vaidyanathan, "Perfect reconstruction QMF banks for two-dimensional applications," IEEE Trans. Circuits Syst., vol. 34, pp. 976–978, Aug. 1987.
    • (1987) IEEE Trans. Circuits Syst. , vol.34 , pp. 976-978
    • Vaidyanathan, P.P.1
  • 118
    • 0024125254 scopus 로고
    • Design of perfect reconstruction multi-dimensional filter banks using cascaded Smith form matrices
    • Espoo, Finland, June
    • E. Viscito and J. Allebach, "Design of perfect reconstruction multi-dimensional filter banks using cascaded Smith form matrices," in Proc. IEEE Int. Symp. on Circuits and Syst., Espoo, Finland, pp. 831–834, June 1988.
    • (1988) Proc. IEEE Int. Symp. on Circuits and Syst. , pp. 831-834
    • Viscito, E.1    Allebach, J.2
  • 119
    • 0015682115 scopus 로고
    • A unified approach to the design of optimum FIR linear-phase digital filters
    • Nov.
    • J. H. McClellan and T. W. Parks, "A unified approach to the design of optimum FIR linear-phase digital filters," IEEE Trans. Circuit Theory, vol. 20, pp. 697–701, Nov. 1973.
    • (1973) IEEE Trans. Circuit Theory , vol.20 , pp. 697-701
    • McClellan, J.H.1    Parks, T.W.2
  • 121
    • 0003792312 scopus 로고
    • Englewood Cliffs, NJ: Prentice Hall
    • T. Kailath, Linear Systems. Englewood Cliffs, NJ: Prentice Hall, 1980.
    • (1980) Linear Systems
    • Kailath, T.1
  • 122
    • 0024124024 scopus 로고
    • Fundamental factorization theorems for rational matrices over complex or real fields
    • Espoo, Finland, June
    • S. Tan and J. Vandewalle, "Fundamental factorization theorems for rational matrices over complex or real fields," in Proc. IEEE Int. Symp. on Circuits and Syst., Espoo, Finland, June 1988, pp. 1183–1186.
    • (1988) Proc. IEEE Int. Symp. on Circuits and Syst. , pp. 1183-1186
    • Tan, S.1    Vandewalle, J.2
  • 124
    • 63649102337 scopus 로고
    • A class of efficient interpolators and decimators with applications in transmultiplexers
    • Rome, May
    • A. G. Constantinides and R. A. Valenzuela, "A class of efficient interpolators and decimators with applications in transmultiplexers," in Proc. IEEE Int. Symp. on Circuits and Syst., Rome, May 1982, pp. 260–263.
    • (1982) Proc. IEEE Int. Symp. on Circuits and Syst. , pp. 260-263
    • Constantinides, A.G.1    Valenzuela, R.A.2
  • 125
    • 0020192915 scopus 로고
    • Sub-band coder design incorporating recursive quadrature filters and optimum ADPCM coders
    • Oct.
    • T. P. Barnwell III, "Sub-band coder design incorporating recursive quadrature filters and optimum ADPCM coders," IEEE Trans. Acoust. Speech Signal Proc., vol. 30, pp. 751–765, Oct. 1982.
    • (1982) IEEE Trans. Acoust. Speech Signal Proc. , vol.30 , pp. 751-765
    • Barnwell, T.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.