An easily computed upper bound on the error probability of a data communication system with combined trellis coding and multilevel/phase modulation is derived, assuming an additive white Gaussian noise channel and maximum-likelihood decoding. This bound is used to search for codes, obtained by set-partitioning, that minimize the bound for a fixed number of trellis states. Only amplitude modulated signals that are typically used in voiceband modem applications are considered. The signal levels that minimize the error probability bound, subject to an average power constraint, are presented for some specific codes.
ASJC Scopus subject areas
- Electrical and Electronic Engineering