Binary CPSK Performance Analysis for Saturating Band-Limited Channels

An expression is derived for the error probability of binary CPSK signals received over a soft-limited channel in the presence of pre- and post-limiter additive Ganssian noise. Although this expression is not in closed form, it may be efficiently evaluated to any desired accuracy using a recurrence method developed in the appendix. System performance is also evaluated when the signals are subjected to bandlimiting as well as Gaussian noise preceding the limiter. Moment space techniques are used to obtain upper and lower bounds on the errorrate in terms of the error-rate in the presence of Gaussian noise alone. Numerical examples are presented for a channel which includes a Chebyshev filter preceding the limiter. These illustrate that the bounds are tight enough for most practical purposes.