Nonuniform filter banks: a reconstruction and design theory

A general procedure for the design of analysis-synthesis systems based on nonuniform filter banks is described. The procedure is based on a time-domain analysis of nonuniform systems, which results in a set of conditions for the exact reconstruction of the input signal at the output. These conditions are used as part of a powerful iterative algorithm for designing finite impulse response (FIR) filter banks with an arbitrary nonuniform frequency resolution. This new framework permits the design of systems with arbitrary rational decimation rates in different bands. Systems based on maximally or nonmaximally decimated filter banks, on low and minimum delay systems, and on block decimators are also among the systems that can be designed using this method. >

[1]  Henrique S. Malvar,et al.  The LOT: transform coding without blocking effects , 1989, IEEE Trans. Acoust. Speech Signal Process..

[2]  Mark J. T. Smith,et al.  A general time domain analysis and design framework for exactly reconstructing FIR analysis/synthesis filter banks , 1990, IEEE International Symposium on Circuits and Systems.

[3]  Mark J. T. Smith,et al.  Block decimated analysis-synthesis filter banks , 1992, [Proceedings] 1992 IEEE International Symposium on Circuits and Systems.

[4]  P. P. Vaidyanathan,et al.  Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial , 1990, Proc. IEEE.

[5]  Mark J. T. Smith,et al.  Time-domain filter bank analysis: a new design theory , 1992, IEEE Trans. Signal Process..

[6]  Mark J. T. Smith,et al.  The time domain analysis and design of exactly reconstructing FIR analysis/synthesis filter banks , 1990, International Conference on Acoustics, Speech, and Signal Processing.

[7]  Jelena Kovacevic,et al.  Perfect reconstruction filter banks with rational sampling rate changes , 1991, [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

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

[9]  Thomas P. Barnwell,et al.  The design of perfect reconstruction nonuniform band filter banks , 1991, [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

[10]  Jelena Kovacevic,et al.  Perfect Reconstruction Filter Banks with Rational Sampling Rates in One and Two Dimensions , 1989, Other Conferences.

[11]  M. Vetterli,et al.  Perfect reconstruction FIR filter banks: lapped transforms, pseudo QMFs and paraunitary matrices , 1988, 1988., IEEE International Symposium on Circuits and Systems.

[12]  P. Vaidyanathan,et al.  Non-uniform multirate filter banks: theory and design , 1989, IEEE International Symposium on Circuits and Systems,.

[13]  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..

[14]  Martin Vetterli,et al.  Perfect reconstruction FIR filter banks: some properties and factorizations , 1989, IEEE Trans. Acoust. Speech Signal Process..

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

[16]  Richard V. Cox,et al.  The design of uniformly and nonuniformly spaced pseudoquadrature mirror filters , 1986, IEEE Trans. Acoust. Speech Signal Process..