The aim of this paper is to extend some basic concepts related to the Maximum Likelihood decoding of codes on the Z-channel, which is a particular, but very important, example of an asymmetric channel. We study distance properties of linear codes over the Z-channel, in order to define a suitable metric for the implementation of a Maximum Likelihood decoder on the channel. A combinatorial expression for an approximation on the probability of incorrect Maximum Likelihood decoding is also provided, and comparisons are given to evaluate the tightness of the estimation, when a Hamming code, a Turbo code and an LDPC code are used for communicating over the Z-channel.
Maximum Likelihood Decoding of Codes on the Asymmetric Z-channel / Ellingsen, P.; Spinsante, Susanna; Ytrehus, O.; Diez, A.. - ELETTRONICO. - 3:(2006), pp. 1200-1205. (Intervento presentato al convegno IEEE International Conference on Communications tenutosi a Istanbul, TURKEY nel 11-15 June, 2006) [10.1109/ICC.2006.254911].
Maximum Likelihood Decoding of Codes on the Asymmetric Z-channel
SPINSANTE, Susanna;
2006-01-01
Abstract
The aim of this paper is to extend some basic concepts related to the Maximum Likelihood decoding of codes on the Z-channel, which is a particular, but very important, example of an asymmetric channel. We study distance properties of linear codes over the Z-channel, in order to define a suitable metric for the implementation of a Maximum Likelihood decoder on the channel. A combinatorial expression for an approximation on the probability of incorrect Maximum Likelihood decoding is also provided, and comparisons are given to evaluate the tightness of the estimation, when a Hamming code, a Turbo code and an LDPC code are used for communicating over the Z-channel.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
