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On the spectral factor ambiguity of FIR energy compaction filter banks

Tkacenko, Andre and Vaidyanathan, P. P. (2006) On the spectral factor ambiguity of FIR energy compaction filter banks. IEEE Transactions on Signal Processing, 54 (1). pp. 380-385. ISSN 1053-587X. https://resolver.caltech.edu/CaltechAUTHORS:TKAieeetsp06b

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Abstract

This paper focuses on the design of signal-adapted finite-impulse response (FIR) paraunitary (PU) filter banks optimized for energy compaction (EC). The design of such filter banks has been shown in the literature to consist of the design of an optimal FIR compaction filter followed by an appropriate Karhunen-Loe/spl grave/ve transform (KLT). Despite this elegant construction, EC optimal filter banks have been shown to perform worse than common nonadapted filter banks for coding gain, contrary to intuition. Here, it is shown that this phenomenon is most likely due to the nonuniqueness of the compaction filter in terms of its spectral factors. This nonuniqueness results in a finite set of EC optimal filter banks. By choosing the spectral factor yielding the largest coding gain, it is shown that the resulting filter bank behaves more and more like the infinite-order principal components filter bank (PCFB) in terms of numerous objectives such as coding gain, multiresolution, noise reduction with zeroth-order Wiener filters in the subbands, and power minimization for discrete multitone (DMT)-type nonredundant transmultiplexers.


Item Type:Article
Additional Information:© Copyright 2006 IEEE. Reprinted with permission. Manuscript received August 6, 2004; revised January 19, 2005. [Posted online: 2005-12-19] This work was supported in part by the NSF grant CCF-0428326, ONR grant N00014-06-1-0011, and the California Institute of Technology. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Trac D. Tran.
Subject Keywords:Compaction filter, energy compaction, multirate filter bank, principal components filter bank
Issue or Number:1
Record Number:CaltechAUTHORS:TKAieeetsp06b
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:TKAieeetsp06b
Alternative URL:http://dx.doi.org/
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6403
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:07 Dec 2006
Last Modified:02 Oct 2019 23:32

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