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Fractional biorthogonal partners in channel equalization and signal interpolation

Vrcelj, Bojan and Vaidyanathan, P. P. (2003) Fractional biorthogonal partners in channel equalization and signal interpolation. IEEE Transactions on Signal Processing, 51 (7). pp. 1928-1940. ISSN 1053-587X. http://resolver.caltech.edu/CaltechAUTHORS:VRCieeetsp03

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Abstract

The concept of biorthogonal partners has been introduced recently by the authors. The work presented here is an extension of some of these results to the case where the upsampling and downsampling ratios are not integers but rational numbers, hence, the name fractional biorthogonal partners. The conditions for the existence of stable and of finite impulse response (FIR) fractional biorthogonal partners are derived. It is also shown that the FIR solutions (when they exist) are not unique. This property is further explored in one of the applications of fractional biorthogonal partners, namely, the fractionally spaced equalization in digital communications. The goal is to construct zero-forcing equalizers (ZFEs) that also combat the channel noise. The performance of these equalizers is assessed through computer simulations. Another application considered is the all-FIR interpolation technique with the minimum amount of oversampling required in the input signal. We also consider the extension of the least squares approximation problem to the setting of fractional biorthogonal partners.


Item Type:Article
Additional Information:© Copyright 2003 IEEE. Reprinted with permission Manuscript received March 21, 2002; revised January 17, 2003. [Posted online: 2003-06-25] This work was supported in part by the Office of Naval Research under Grant N00014-99-1-1002. The associate editor coordinating the review of this paper and approving it for publication was Dr. Vikram Krishnamurthy.
Subject Keywords:Biorthogonal partners, channel equalization, multirate signal processing, noise suppression, signal interpolation
Record Number:CaltechAUTHORS:VRCieeetsp03
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:VRCieeetsp03
Alternative URL:http://dx.doi.org/10.1109/TSP.2003.812844
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3286
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:25 May 2006
Last Modified:26 Dec 2012 08:53

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