The use of random coset coding for bounding the probability of error in coded modulations schemes

A random coset coding for coded modulation structure is presented. This approach enables the authors to calculate easily an upper bound for the probability of decoding error of an average coset code. The random coding method they present, and the upper bound obtained, are applicable to most of the known coded modulation schemes, any transmitted signal constellation, and Gaussian as well as other (not necessarily additive noise) channels. Furthermore, by transmitting according to this method, an equal probability of decoding error is provided for each transmitted sequence.<>