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One- and two-level filter-bank convolvers

Phoong, See-May and Vaidyanathan, P. P. (1995) One- and two-level filter-bank convolvers. IEEE Transactions on Signal Processing, 43 (1). pp. 116-133. ISSN 1053-587X. doi:10.1109/78.365292.

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In a recent paper, it was shown in detail that in the case of orthonormal and biorthogonal filter banks we can convolve two signals by directly convolving the subband signals and combining the results. In this paper, we further generalize the result. We also derive the statistical coding gain for the generalized subband convolver. As an application, we derive a novel low sensitivity structure for FIR filters from the convolution theorem. We define and derive a deterministic coding gain of the subband convolver over direct convolution for a fixed wordlength implementation. This gain serves as a figure of merit for the low sensitivity structure. Several numerical examples are included to demonstrate the usefulness of these ideas. By using the generalized polyphase representation, we show that the subband convolvers, linear periodically time varying systems, and digital block filtering can be viewed in a unified manner. Furthermore, the scheme called IFIR filtering is shown to be a special case of the convolver.

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Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© Copyright 1995 IEEE. Reprinted with permission. Manuscript received July 13, 1993; revised July 15, 1994. This work was supported by the Office of Naval Research Grant N00014-93-1-023 1 and funds from Tektronix, Inc.
Subject Keywords:FIR filters, convolution, digital filters, encoding, signal processing, time-varying filters
Issue or Number:1
Record Number:CaltechAUTHORS:PHOieeetsp95b
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8704
Deposited By: Archive Administrator
Deposited On:06 Sep 2007
Last Modified:08 Nov 2021 20:52

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