Nonuniform filter banks: a reconstruction and design theory

• Published in: IEEE transactions on signal processing Vol. 41; no. 3; pp. 1114 - 1127
• Main Authors: Nayebi, K., Barnwell, T.P., Smith, M.J.T.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-03-1993; Institute of Electrical and Electronics Engineers
• 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; System design; Finite impulse response filter; Signal reconstruction; Filter bank; Time domain method; Algorithm
• ISSN: 1053-587X; 1941-0476
• DOI: 10.1109/78.205717

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.< >