Non-Statistical Euclidean-Distance SISO Decoding of Error-Correcting Codes Over Gaussian and other Channels

LIBERATORI, M. C.; ARNONE, J. L.; CASTIÑEIRA MOREIRA, J.; FARRELL, P. G.

EUROPEAN TRANSACTIONS ON TELECOMMUNICATIONS

JOHN WILEY & SONS LTD

Año: 2019

1124-318X

In this paper we describe novel non-statistical Euclidean distance soft-input, soft-output (SISO) decoding algorithms for the three currently most important error-correcting codes: the low-density parity-check (LDPC), turbo and polar codes. We have investigated the simulated bit-error rate (BER) per- formance of these non-statistical algorithms on three chan- nel models: the additive White Gaussian noise (AWGN), the Rayleigh fading and Middleton?s Class-A impulsive noise chan- nels. We have also simulated the BER performance of the corresponding statistical decoding algorithms for the three codes and channels, in order to compare the relative per- formances of the non-statistical and statistical algorithms. In all cases the performance over the AWGN channel of the non-statistical algorithms is almost the same or slight- ly better than that of the statistical algorithms. In some cases the performance over the two non-Gaussian chan- nels of the non-statistical algorithms is worse than that of the statistical algorithms, but the use of a simple signal am- plitude limiter placed before the decoder input, signicantly improves the actual and relative performances of the algo- rithms. Thus there is no performance loss, and sometimesa signihcant performance gain, for the proposed decoding algorithms. A major advantage of the proposed decoding algorithms is that estimation of the channel signal-to-noise ratio is not required, which in practice simplies system im- plementation. In addition, we have found that the process- ing complexity of the non-statistical algorithms is similar or slightly less than that of the corresponding statistical algo- rithms, and is signicantly less in the case of the LDPC codes over all of the channels.