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An expression is derived for the symbol error probability (SEP) of coherent M-ary phase-shift-keyed (PSK) signals (M>4) transmitted through a bandlimited nonlinear channel. The bandpass nonlinearity (BPNL) considered exhibits AM/AM and AM/PM distortions. Additive white Gaussian noise (AWGN) on both up- and down-links, and intersymbol interference (ISI) on up-link only have been taken as system impairments. SEPs are computing for an onboard TWTA and a phase-compensating receiver. The use of a soft-limiter lineariser (SL-LRZ) to compensate the nonlinearities is also presented.