Author: Thomas V. Saliga

Publisher:

Published: 1969

Total Pages: 60

ISBN-13:

Sequential decoding of convolutional coded data offers essentially error-free communication at rates within 1/3 of channel capacity, thus making it attractive for space and other communication systems. Sequential decoding is a sub-optimum decoding technique that sequentially estimates transmitted symbols, using an appropriate confidence measure or metric. An a posteriori probability metric has been generally employed. However, the derivation of this metric, the exact system performance, and the operational sensitivity of a sequential decoded to the choice of its metric have not been adequately treated. This paper determines a sequential decoder's performance and metric sensitivity by means of a computer simulation using two metrics: (1) A log-a-posteriori probability metric, and (2) A cross-correlation metric. Both metrics are defined, derived, and tabulated for the memory-less Gaussian channel. Simulations of a rate 1/2, constraint-length 32 coded data system are made using 16 level quantized metrics. When good metric and decoder parameters have been found, the decoder's computational load, overflow probabilities, and error probability are found as a function of channel signal-to-noise ratio, using at least 500 simulated telemetry frames per data point. It is shown that the correlation metric is inferior to the probability metric by at least 1.5 decibels and suffers a higher error rate. In addition, the correlation metric decoder degrades intolerably with 0.5 decibel signal-amplitude fluctuations, whereas the probability metric decoder is negligibly affected.