New method for computation of error probability in PSK systems with interference

A very efficient technique for the computation of error probability in ASK systems with M = 2 to the m (m an integer) symbols or QASK systems with M-squared symbols in the presence of intersymbols interference was presented by Jenq, Liu, and Thomas (1977). This technique was extended by Jenq to coherent PSK (no phase jitter) with M = 2, 4, and 8 symbols. In this paper, the technique is extended to PSK (phase jitter or misalignment possible) with 8 and 16 symbols by deriving lower and upper bounds to the error probability. These bounds are close; this is demonstrated by examples for 8-PSK with phase offset of 5 deg and sampling time offset of 5 percent, and for 16-PSK with phase offset of 2.5 deg and sampling time offset of 2.5 percent.