Noise effects on M-ary PSK trellis codes

Summary form only given. Upper bounds on the error performance of an M-ary PSK trellis coded system over the AWGN and in the presence of Tikhonov distributed phase noise have been obtained. The model, which is applicable to a first-order phase tracking loop perturbed by thermal and carrier phase noise, is as follows. A binary sequence at the transmitter is encoded using a rate R = (n - 1)/n trellis code having an S-state encoder. The n-tuple produces one of M = 2ⁿ PSK signals. The channel produces at the output a noisy discrete-time sequence. It is assumed that the phase noise process is narrowband with respect to the data rate. An ideal interleaver/deinterleaver system is also assumed. The authors are interested in the error performance of this coded system. Using Chernoff bounding techniques, the pairwise error probability of the decoder, which uses the squared Euclidean distance as its metric, is estimated. This bound is then used to calculate the 'generalized Ro.' The degradation due to phase noise is demonstrated for 8-PSK and 16-PSK. The error performance of some practical coding methods for 8-PSK and 16-PSK have also been obtained.