A general formulation of modulated filter banks

IEEE Transactions on Signal Processing

Volumn 47, Issue 4, 1999, Pages 986-1002

  Heller, Peter Niels ^a,b   Karp, Tanja ^a,c   Nguyen, Truong Q ^b,c  

^a AWARE INC   (United States)

^b UNIVERSITY OF MANNHEIM   (Germany)

^c Boston University   (United States)

Author keywords

Cosine modulated filter bank; DCT; Filter bank; MDCT; Modulated filter bank

Indexed keywords

COSINE TRANSFORMS; ELECTRIC NETWORK ANALYSIS; ELECTRIC NETWORK SYNTHESIS; FOURIER TRANSFORMS; LOW PASS FILTERS; MODULATION; SIGNAL ENCODING;

COSINE MODULATED FILTER BANK; DISCRETE COSINE TRANSFORM; MODIFIED DISCRETE FOURIER TRANSFORM; MODULATED FILTER BANK;

FIR FILTERS;

EID: 0033114974     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.752597     Document Type: Article

References (35)

1. M. G. Bellanger and J. L. Daguet, "TDM-FDM transmultiplexer: Digital polyphase and FFT," IEEE Trans. Commun., vol. COMM-22, pp. 1199-1204, Sept. 1974.
2. H. Bölcskei, F. Hlawatsch, and H. G. Feichtinger, "Oversampled FIR and IIR DFT filter banks and Weyl-Heisenberg-frames," in Proc. IEEE ICASSP, Atlanta, GA, 1996.
3. R. E. Crochiere and L. R. Rabiner, Multirate Digital Signal Processing. Englewwod Cliffs, NJ: Prentice-Hall, 1983.
4. 2(Z)," in Proc. IEEE ICASSP, Detroit, MI, 1995.
5. N. J. Fliege, "Computational efficiency of MDFT filter banks," in Proc. 27th Asilomar Conf. Signals, Syst., Comput., Asilomar, CA, 1993.
6. _, "Modified DFT polyphase SBC filter banks with almost perfect reconstruction," in Proc. IEEE ICASSP, Adelaide, Australia, 1994, pp. III149-III152.
7. R. A. Gopinath, "Modulated filter banks and wavelets - A general unified theory," in Proc. IEEE ICASSP, Atlanta, GA, 1996.
8. R. Gopinath and C. Burrus, "Theory of modulated filter banks and modulated wavelet tight frames," in Proc. IEEE ICASSP, Minneapolis, MN, 1993, pp. III169-III172.
9. T. Karp and N. Fliege, "MDFT Filter banks with perfect reconstruction," in Proc. IEEE ISCAS, Seattle, WA, 1995.
10. R. D. Koilpillai and P. P. Vaidyanathan, "Cosine modulated FIR filter banks satisfying perfect reconstruction," IEEE Trans. Signal Processing, vol. 40, pp. 770-783, Apr. 1992.
11. Y.-P. Lin and P. P. Vaidyanathan, "Linear-phase cosine modulated maximally decimated filter banks with perfect reconstruction," IEEE Trans. Signal Processing, vol. 43, pp. 2525-2539, Nov. 1995.
12. H. Malvar, "Extended lapped transforms: Fast algorithms and applications," IEEE Trans. Signal Processing, Nov. 1992.
13. H. Malvar, Signal Processing with Lapped Transforms. Norwood, MA: Artech House, 1992.
14. J. Masson and Z. Picel, "Flexible design of computationally efficient nearly perfect QMF filter banks," in Proc. IEEE ICASSP, Tampa, FL, 1985.
15. J. Mau, "Perfect reconstruction modulated filter banks: Fast algorithms and attractive new properties," in Proc. IEEE ICASSP, Minneapolis, MN, 1993, pp. III-225-III-228.
16. "Coding of moving pictures and associated audio for digital storage media up to about 1.5 MBit/s," Int. norm MPEG1, ISO 11172-3, 1992.
17. K. Nayebi, T. P. Barnwell, III, and M. J. T. Smith, "Time-domain filter bank analysis: A new design theory," IEEE Trans. Signal Processing, vol. 40, pp. 1412-1429, 1992.
18. _, "Low delay FIR filter banks: Design and evaluation," IEEE Trans. Signal Processing, vol. 42, pp. 24-31, Jan. 1994.
19. T. Q. Nguyen and R. D. Koilpillai, "The theory and design of arbitrarylength cosine-modulated filter banks and wavelets, satisfying perfect reconstruction," IEEE Trans. Signal Processing, vol. 44, pp. 473-483, Mar. 1996.
20. T. Q. Nguyen, "A class of generalized cosine modulated filter bank," in Proc. IEEE ISCAS, 1992, pp. 943-946.
21. _, "Digital filter bank design quadratic constrained formulation," IEEE Trans. Signal Processing, vol. 43, pp. 2103-2108, Sept. 1995.
22. J. Nussbaumer and M. Vetterli. "Computationally efficient QMF filter banks," in Proc. IEEE ICASSP, San Diego, CA, 1984.
23. J. Princen and A. Bradley, "Analysis/synthesis filter bank design based on time domain alias cancellation," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, pp. 476-492, 1986.
24. T. A. Ramstad and J. P. Tanem, "Cosine modulated analysis synthesis filter bank with critical sampling and perfect reconstruction," in Proc. IEEE ICASSP, Toronto, Ont., Canada, 1991, pp. 1789-1792.
25. J. H. Rothweiler, "Polyphase quadrature filters - A new subband coding technique," in Proc. IEEE ICASSP, 1983, pp. 1280-1283.
26. K. Schittkowski, "NLPQL: A FORTRAN subroutine solving constrained nonlinear programming problems," Ann. Oper. Res., vol. 5, pp. 485-500, 1986.
27. M. R. Schroeder, Number Theory in Science and Communication. New York: Springer-Verlag, 1986.
28. G. Schuller, "A low delay filter bank for audio coding with reduced pre-echoes," in Proc. 99th AES Conv., New York, NY, Oct. 1995.
29. _, "A new factorization and structure for cosine modulated filter banks with variable system delay," in Proc. 30th Asilomar Conf. Signals, Syst., Comput., Pacific Grove, CA, Nov. 1996.
30. G. Schuller and M. J. T. Smith, "New framework for modulated perfect reconstruction filter banks," IEEE Trans. Signal Processing, vol. 44, pp. 1941-1954, 1996.
31. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1992.
32. 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. CAS-34, pp. 11-23, Jan. 1987.
33. M. Vetterli and C. Herley, "Wavelets and filter banks," IEEE Trans. Signal Processing, vol. 40, pp. 2207-2232, 1992.
34. H. Xu, W.-S. Lu, and A. Antoniou, "Efficient iterative design method for cosine-modulated QMF banks," IEEE Trans. Signal Processing, vol. 44, pp. 1657-1668, July 1996.
35. E. Zwicker and H. Fastl, Psychoacoustics. New York: Springer-Verlag, 1990.