Design of FIR paraunitary filter banks for subband coding using a polynomial eigenvalue decomposition
Redif, Soydan and McWhirter, John G. 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. ISSN 1053-587X (https://doi.org/10.1109/TSP.2011.2163065)
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Abstract
The problem of paraunitary 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), paraunitary 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 optimisation scheme that maximises the coding gain at each stage of the algorithm, it is shown that the resulting filter bank behaves more and more like the infiniteorder 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.
ORCID iDs
Redif, Soydan, McWhirter, John G. and Weiss, Stephan ORCID: https://orcid.org/0000-0002-3486-7206;-
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Item type: Article ID code: 32366 Dates: DateEventNovember 2011Published1 August 2011Published OnlineSubjects: Technology > Electrical engineering. Electronics Nuclear engineering Department: Faculty of Engineering > Electronic and Electrical Engineering
Technology and Innovation Centre > Sensors and Asset ManagementDepositing user: Pure Administrator Date deposited: 06 Sep 2011 14:30 Last modified: 16 Nov 2024 15:24 URI: https://strathprints.strath.ac.uk/id/eprint/32366