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Recurrent multiple-repetition coding for channels with feedback

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Author: Veugen, P.J.M.
Source:IEEE Transactions on Information Theory, 9, 57, 5983-5990
Identifier: 436019
doi: doi:10.1109/TIT.2011.2161922
Keywords: Informatics ; Safety · Error exponent · feedback · multiple repetition · recurrent coding · Discrete memoryless channels · Error exponent · Fixed-delay · multiple repetition · Noiseless feedback · recurrent coding · Transmission rates · Channel capacity · Error correction · Communication & Information · ISEC - Information Security · TS - Technical Sciences


We consider multiple repetition strategies with fixed delay decoding for discrete memoryless channels with noiseless feedback. Existing binary schemes by Schalkwijk and Zigangirov are analyzed and their results are extended. The general error exponents are computed and presented by elegant expressions in the strictly symmetric case. An important class of precoded sequences, so-called flip sequences, is found and their degrading effect on the error exponent is investigated. This effect is shown negligible when the repetition parameters are chosen such that the transmission rate is maximized. Even when signalling at channel capacity, the error exponent is shown to be strictly positive. © 2011 IEEE.