Analytical performance bounds on average bit error probability for trellis coded PSK transmitted over fading channels

Analytical performance bounds are presented for trellis coded phase-shift keying (PSK) transmitted over general fading channels. In particular, log-normal shadowing of the received signal over a mobile satellite channel is considered, and analytical performance bounds for encoder structures with four and eight states are provided. previously published results for Rayleigh and Rician fading environments are extended to encoder structures with four states, and in the limiting case of Rayleigh fading, analytical lower performance bounds are included. Line-of-sight shadowing, a situation that occurs in mobile satellite applications, is included in the Rician case. Monte-Carlo simulation results are also presented and indicate that the generalized transfer function bounding techniques are somewhat weak for general fading environments