Role of Anticausal Inverses in Multirate Filter-Banks—Part II: The FIR Case, Factorizations, and Biorthogonal Lapped Transforms

IEEE Transactions on Signal Processing

Volumn 43, Issue 5, 1995, Pages 1103-1115

  Vaidyanathan, P P ^a   Chen, Tsuhan ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b AT AND T LABS RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANTICAUSAL INVERSES; BIORTHOGONAL LAPPED TRANSFORMS; CAFACAFI SYSTEMS; FACTORIZATIONS; MULTIRATE FILTER BANKS; PERFECT RECONSTRUCTION FILTER BANKS;

INVERSE PROBLEMS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; SIGNAL FILTERING AND PREDICTION; SYSTEMS ANALYSIS;

DIGITAL FILTERS;

EID: 0029308783     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.382396     Document Type: Article

References (12)

1. P. P. Vaidyanathan and T. Chen, “Role of anticausal inverses in multirate filter-banks—Part I: System-theoretic fundamentals,” IEEE Trans. Signal Processing, this issue, pp. 1090-1102.
2. F. R. Gantmacher, The Theory of Matrices. New York: Chelsea, 1959, vol. 1 and 2.
3. P. P. Vaidyanathan, “Quadrature mirror filter banks, M-band extensions and perfect reconstruction techniques,” IEEE Acoust. Speech Signal Processing Mag., vol. 4, pp. 4-20, July 1987.
4. Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice Hall, 1993.
5. P. P. Vaidyanathan, T. Q. Nguyen, Z. Doganata, and T. Saramaki, “Improved technique for design of perfect reconstruction FIR QMF banks with lossless polyphase matrices,” IEEE Trans. Acoustics, Speech, Signal Processing, vol. 37, pp. 1042-1056, July 1989.
6. H. S. Malvar, “Lapped transforms for efficient transform/subband coding,” IEEE Trans. Acoust. Speech Signal Processing, vol. 38, pp. 969-978, June 1990.
7. P. Cassereau, “A new class of orthogonal transforms for image processing,” S. M. thesis, Dept. EECS, Massachusetts Institute of Technology, Cambridge, MA, May 1985.
8. H. S. Malvar, Signal Processing With Lapped Transforms. Norwood, MA: Artech House, 1992.
9. A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing. Englewood Cliffs, NJ: Prentice Hall, 1989.
10. G. H. Golub and C. F. Van Loan, Matrix Computations. Baltimore, MD: Johns Hopkins Univ. Press, 1989.
11. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, MA: Cambridge Univ. Press, 1985.
12. I. Daubechies, Ten Lectures on Wavelets, SIAM, CBMS series, Apr. 1992.