A tutorial on multirate digital filter banks

A number of topics in multirate digital signal processing, such as decimation and interpolation, polyphase structures, power-complementary and Mth band filters, and digital filter banks are reviewed. Maximally decimated digital filter banks are emphasized, and the problem of perfect reconstruction reviewed. The role of FIR (finite-impulse-response) lossless systems in this context is also reviewed.<<ETX>>

[1]  Louis Weinberg,et al.  Network Analysis and Synthesis , 1962 .

[2]  F. Murnaghan The unitary and rotation groups , 1962 .

[3]  C. Sidney Burrus,et al.  A unified analysis of multirate and periodically time-varying digital filters , 1975 .

[4]  Georges Bonnerot,et al.  Digital filtering by polyphase network:Application to sample-rate alteration and filter banks , 1976 .

[5]  S. Mitra,et al.  Block implementation of recursive digital filters--New structures and properties , 1978 .

[6]  M. Portnoff Time-frequency representation of digital signals and systems based on short-time Fourier analysis , 1980 .

[7]  L.R. Rabiner,et al.  Interpolation and decimation of digital signals—A tutorial review , 1981, Proceedings of the IEEE.

[8]  F. Mintzer On half-band, third-band, and Nth-band FIR filters and their design , 1982 .

[9]  Joseph Rothweiler,et al.  Polyphase quadrature filters-A new subband coding technique , 1983, ICASSP.

[10]  C. Galand,et al.  New quadrature mirror filter structures , 1984 .

[11]  Lajos Gazsi,et al.  Explicit formulas for lattice wave digital filters , 1985 .

[12]  Tapio Saramaki On the design of digital filters as a sum of two all-pass filters , 1985 .

[13]  Fred Mintzer,et al.  Filters for distortion-free two-band multirate filter banks , 1985, IEEE Trans. Acoust. Speech Signal Process..

[14]  Sanjit K. Mitra,et al.  A new approach to the realization of low-sensitivity IIR digital filters , 1986, IEEE Trans. Acoust. Speech Signal Process..

[15]  M. Vetterli Filter banks allowing perfect reconstruction , 1986 .

[16]  Mark J. T. Smith,et al.  Exact reconstruction techniques for tree-structured subband coders , 1986, IEEE Trans. Acoust. Speech Signal Process..

[17]  John W. Woods,et al.  Subband coding of images , 1986, IEEE Trans. Acoust. Speech Signal Process..

[18]  P. Vaidyanathan,et al.  Theory and design of uniform DFT, parallel, quadrature mirror filter banks , 1986 .

[19]  P. P. Vaidyanathan,et al.  Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect-reconstruction property , 1987, IEEE Trans. Acoust. Speech Signal Process..

[20]  P. Vaidyanathan Quadrature mirror filter banks, M-band extensions and perfect-reconstruction techniques , 1987, IEEE ASSP Magazine.

[21]  Mark J. T. Smith,et al.  A new filter bank theory for time-frequency representation , 1987, IEEE Trans. Acoust. Speech Signal Process..

[22]  Richard V. Cox,et al.  The analog voice privacy system , 1987, AT&T Technical Journal.

[23]  P. Vaidyanathan,et al.  Design of doubly-complementary IIR digital filters using a single complex allpass filter, with multirate applications , 1987 .

[24]  Martin Vetterli,et al.  A theory of multirate filter banks , 1987, IEEE Trans. Acoust. Speech Signal Process..

[25]  Sanjit K. Mitra,et al.  Polyphase networks, block digital filtering, LPTV systems, and alias-free QMF banks: a unified approach based on pseudocirculants , 1988, IEEE Trans. Acoust. Speech Signal Process..

[26]  P. P. Vaidyanathan,et al.  Lattice structures for optimal design and robust implementation of two-channel perfect-reconstruction QMF banks , 1988, IEEE Trans. Acoust. Speech Signal Process..

[27]  Truong Q. Nguyen,et al.  Improved approach for design of perfect reconstruction FIR QMF banks, with lossless lattice structures , 1988, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing.

[28]  P. P. Vaidyanathan,et al.  Classical sampling theorems in the context of multirate and polyphase digital filter bank structures , 1988, IEEE Trans. Acoust. Speech Signal Process..

[29]  P. P. Vaidyanathan,et al.  The role of lossless systems in modern digital signal processing: a tutorial , 1989 .