An importance sampling technique for a symbol-by-symbol TCM decoding/equalization algorithm

An importance sampling simulation technique is used to estimate the bit-error rate (BER) of a symbol-by-symbol trellis-coded modulation (TCM) decoder/equalizer proposed for digital microwave radio applications. To evaluate the performance at a BER smaller than 10^-6, we investigate a randomized bias technique previously developed by the authors. To properly select the bias vectors, the asymptotic (infinite signal-to-noise ratio) decision boundary is first determined. The simulation technique is then extended to the one-shot symbol-by-symbol TCM decoding/equalization algorithm which is equivalent to the recursive symbol-by-symbol detection algorithm of Abend and Fritchman (1970). By using this novel importance sampling technique, we can speed up the simulation and efficiently evaluate the BER performance of the TCM decoder/equalizer