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On the undetected error probability of linear block codes on channels with memory

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3 Author(s)
Kuznetsov, A. ; Inst. for Problems of Inf. Transmission, Moscow, Russia ; Swarts, F. ; Ferreira, H.C.

We give an upper band on the undetected error probability of binary (n,k)-codes used on channels with memory described by Markov distributions. This bound is a generalization of the bound presented by Kasami (1983) for the binary symmetric channel (BSC). An extended bound is given for the Gilbert-Elliott channel (1960, 1963) and Markov channels with deterministic errors. We also develop a recursive technique for the exact calculation of the undetected error probability of an arbitrary linear block code used on a Markov type channel. This technique is based on the trellis representation of block codes described by Wolf (1978). Results of the computations are presented

Published in:

Communications and Signal Processing, 1993., Proceedings of the 1993 IEEE South African Symposium on

Date of Conference:

6 Aug 1993