NDLI: Distributed source coding with cyclic codes and their duals

Content Provider	IEEE Xplore Digital Library
Author	Xiaomin Cao Kuijper, M.
Copyright Year	2009
Description	Author affiliation: National ICT Australia (NICTA), Department of Electrical and Electronic Engineering, The University of Melbourne, Victoria 3010, Australia (Xiaomin Cao) \|\| Department of Electrical and Electronic Engineering The University of Melbourne, Victoria 3010, Australia (Kuijper, M.)
Abstract	We consider the problem of compression of multiple correlated sources. It is assumed that the sources are given as a sequence with neighbouring sources correlated in terms of Hamming distance. In previous work we derived a general Distributed Source Coding (DSC) framework that uses the parity check matrix of a suitably chosen block code C1. In this paper we focus on the special case that C1 is a cyclic code. This allows us to formulate our DSC framework in terms of polynomials. The polynomial structure has the advantage that it allows for implementation via efficient shift registers. We show that the Sylvester resultant of polynomials plays a crucial role in the DSC framework. We address the notion of “complementarity” of codes and specify the DSC framework in terms of the cyclic code C1 and the reciprocal C2 of its dual code for the special case that C2 is complementary to C1. We illustrate our polynomial DSC framework for a sequence of 3 sources through a (15, 7) BCH code C1 and the reciprocal of its dual code C2.
Starting Page	1
Ending Page	5
File Size	116310
Page Count	5
File Format	PDF
ISBN	9781424446568
DOI	10.1109/ICICS.2009.5397707
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-08
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Source coding Polynomials Block codes Hamming distance Image coding Shift registers Parity check codes Decoding Image sensors Sensor phenomena and characterization
Content Type	Text
Resource Type	Article

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