Computer Science > Information Theory
[Submitted on 28 May 2007 (v1), last revised 8 Apr 2008 (this version, v2)]
Title:On Undetected Error Probability of Binary Matrix Ensembles
View PDFAbstract: In this paper, an analysis of the undetected error probability of ensembles of binary matrices is presented. The ensemble called the Bernoulli ensemble whose members are considered as matrices generated from i.i.d. Bernoulli source is mainly considered here. The main contributions of this work are (i) derivation of the error exponent of the average undetected error probability and (ii) closed form expressions for the variance of the undetected error probability. It is shown that the behavior of the exponent for a sparse ensemble is somewhat different from that for a dense ensemble. Furthermore, as a byproduct of the proof of the variance formula, simple covariance formula of the weight distribution is derived.
Submission history
From: Tadashi Wadyama [view email][v1] Mon, 28 May 2007 02:44:27 UTC (117 KB)
[v2] Tue, 8 Apr 2008 02:36:53 UTC (91 KB)
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