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On Network-Error Correcting Convolutional Codes under the BSC Edge Error Model

Prasad, K and Sundar B, Rajan (2010) On Network-Error Correcting Convolutional Codes under the BSC Edge Error Model. In: 2010 IEEE International Symposium on Information Theory, JUL 13, 2010, Austin, TX, pp. 2418-2422.

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Convolutional network-error correcting codes (CNECCs) are known to provide error correcting capability in acyclic instantaneous networks within the network coding paradigm under small field size conditions. In this work, we investigate the performance of CNECCs under the error model of the network where the edges are assumed to be statistically independent binary symmetric channels, each with the same probability of error pe(0 <= p(e) < 0.5). We obtain bounds on the performance of such CNECCs based on a modified generating function (the transfer function) of the CNECCs. For a given network, we derive a mathematical condition on how small p(e) should be so that only single edge network-errors need to be accounted for, thus reducing the complexity of evaluating the probability of error of any CNECC. Simulations indicate that convolutional codes are required to possess different properties to achieve good performance in low p(e) and high p(e) regimes. For the low p(e) regime, convolutional codes with good distance properties show good performance. For the high p(e) regime, convolutional codes that have a good slope ( the minimum normalized cycle weight) are seen to be good. We derive a lower bound on the slope of any rate b/c convolutional code with a certain degree.

Item Type: Conference Paper
Series.: IEEE International Symposium on Information Theory
Publisher: IEEE
Additional Information: Copyright 2010 IEEE. Personal use of this material is permitted.However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 06 Apr 2011 12:49
Last Modified: 06 Apr 2011 12:49
URI: http://eprints.iisc.ac.in/id/eprint/36381

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