Design and factorization of FIR paraunitary filter banks given several analysis filters

IEEE Transactions on Signal Processing

Volumn 48, Issue 7, 2000, Pages 2157-2161

  Kok, C W ^a   Ikehara, M ^b   Nguyen, T Q ^c  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b KEIO UNIVERSITY   (Japan)

^c Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ELECTRIC NETWORK SYNTHESIS; FREQUENCY RESPONSE; MATRIX ALGEBRA; OPTIMIZATION; POLYNOMIALS; WAVELET TRANSFORMS;

LATTICE COEFFICIENTS; PARAUNITARY FILTER BANKS;

FIR FILTERS;

EID: 0033686643     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.847799     Document Type: Article

References (19)

1. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1992.
2. G. Strang and T. Q. Nguyen, Wavelets and Filter Banks. Wellesley, MA: Wellesley-Cambridge, 1996.
3. G. H. Golub and C. F. Van Loan, Matrix Computations, 2 ed. Baltimore, MD: John Hopkins Univ. Press, 1989.
4. T. W. Parks and C. S. Burrus, Digital Filter Design. New York: Wiley, 1987.
5. Z. Doganata, P. P. Vaidyanathan, and T. Q. Nguyen, "General synthesis procedures for FIR lossless transfer matrices for perfect reconstruction multirate filter banks application," IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 1561-1574, Oct. 1988.
6. P. P. Vaidyanathan, T. Q. Nguyen, Z. Doganata, and T. Saramaki, "Improve technique for design of perfect reconstruction FIR QMF banks with lossless polyphase matrices," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 1042-1056, July 1989.
7. A. K. Soman, P. P. Vaidyanthan, and T. Q. Nguyen, "Linear-phase paraunitary filter banks: Theory, factorization and applications," IEEE Trans. Signal Processing, vol. 41, Dec. 1993.
8. C. W. Kok, M. Ikehara, and T. Q. Nguyen, "Structures and factorizations of linear phase paraunitary filter banks," in Proc. ISCAS, 1997.
9. T. D. Tran and T. Q. Nguyen, "On arbitrary-length M-channel linearphase FIR filter banks," IEEE Trans. Signal Processing, vol. 45, pp. 2175-2187, 1997.
10. X. G. Xia and B. W. Suter, "FIR paraunitary filter banks given several analysis filters: Factorizations and constructions," IEEE Trans. Signal Processing, vol. 44, pp. 25-35, 1996.
11. P. Steffen, P. N. Heller, R. A. Gopinath, and C. S. Burrus, "Theory of regular M-band wavelet bases," IEEE Trans. Signal Processing, vol. 41, pp. 3497-3511, Dec. 1993.
12. P. Heller, H. L. Resnikoff, and R. O. Wells, "Wavelet matrices and the representation of discrete functions," in Wavelets: A Tutorial in Theory and Applications, C. K. Chui, Ed. New York: Academic, 1992.
13. P. Heller, "The construction of rank M wavelet with N vanishing moments," SIAMJ. Matrix Anal, vol. 16, 1995.
14. E. Kofidis, S. Theodoridis, and N. Kalouptsidis, "On the perfect-reconstruction problem in N-band multirate maximally-decimated FIR filter banks," IEEE Trans. Signal Processing, vol. 44, pp. 2439-2455, Oct. 1996.
15. M. Ikehara and T. Q. Nguyen, "Time domain design of linear-phase PR filter banks," Proc. ICASSP, 1997.
16. T. Q. Nguyen, "Partial spectrum reconstruction using digital filter banks," IEEE Trans. Signal Processing, vol. 41, pp. 1128-1139, Mar. 1993.
17. M. R. Raghuveer, "Wavelets as signaling waveforms over partial-response channels," in Proc. Coding Signal Process. Inform. Storage'. SPIE, 1995, vol. 2605, pp. 24-28.
18. T. Q. Nguyen, "Digital filter bank design quadratic-constrained formulation," IEEE Trans. Signal Processing, vol. 43, pp. 2103-2108, Sept. 1995.
19. T. Nagai, C. W. Kok, M. Ikehara, and T. Q. Nguyen, "Design and lattice structure of FIR paraunitary filter banks with linear phase," IEICE Trans. Fund. Electron., Commun. Comput. Sci., pp. 712-721, Apr. 1997.