Design of FIR paraunitary filter banks for subband coding using a polynomial Eigenvalue decomposition

Redif, Soydan, McWhirter, John ORCID: https://orcid.org/0000-0003-1810-3318 and Weiss, Stephan 2011. Design of FIR paraunitary filter banks for subband coding using a polynomial Eigenvalue decomposition. IEEE Transactions on Signal Processing 59 (11) , pp. 5253-5264. 10.1109/TSP.2011.2163065

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Abstract

The problem of paraunitary (PU) filter bank design for subband coding has received considerable attention in recent years, not least because of the energy preserving property of this class of filter banks. In this paper, we consider the design of signal-adapted, finite impulse response (FIR), PU filter banks using polynomial matrix EVD (PEVD) techniques. Modifications are proposed to an iterative, time-domain PEVD method, known as the sequential best rotation (SBR2) algorithm, which enables its effective application to the problem of FIR orthonormal filter bank design for efficient subband coding. By choosing an optimization scheme that maximizes the coding gain at each stage of the algorithm, it is shown that the resulting filter bank behaves more and more like the infinite-order principle component filter bank (PCFB). The proposed method is compared to state-of-the-art techniques, namely the iterative greedy algorithm (IGA), the approximate EVD (AEVD), standard SBR2 and a fast algorithm for FIR compaction filter design, called the window method (WM). We demonstrate that for the calculation of the subband coder, the WM approach offers a low-cost alternative at lower coding gains, while at moderate to high complexity, the proposed approach outperforms the benchmarkers. In terms of run-time complexity, AEVD performs well at low orders, while the proposed algorithm offers a better coding gain than the benchmarkers at moderate to high filter order for a number of simulation scenarios.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TK Electrical engineering. Electronics Nuclear engineering
Uncontrolled Keywords:	Orthonormal subband coders; paraunitary (PU) matrix; polynomial matrix eigenvalue decomposition; principal component filter banks (PCFB); sequential best rotation
Publisher:	Institute of Electrical and Electronics Engineers
ISSN:	1053-587X
Last Modified:	18 Oct 2022 14:17
URI:	https://orca.cardiff.ac.uk/id/eprint/17062

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