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 condition...

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Bibliographic Details
Published in:IEEE transactions on signal processing 1993-03, Vol.41 (3), p.1114-1127
Main Authors: Nayebi, K., Barnwell, T.P., Smith, M.J.T.
Format: Article
Language:English
Subjects:
Algorithm design and analysis
Applied sciences
Channel bank filters
Delay systems
Detection, estimation, filtering, equalization, prediction
Exact sciences and technology
Filter bank
Finite impulse response filter
Frequency
Information, signal and communications theory
Iterative algorithms
Sampling methods
Signal and communications theory
Signal resolution
Signal, noise
Telecommunications and information theory
Time domain analysis
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Summary: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.< >
ISSN:1053-587X
1941-0476
DOI:10.1109/78.205717