Signaling Performance Over a Piecewise Linear Limited Channel in the Presence of Interference and Gaussian Noise

Presented here are a model and the analysis for evaluating bit error probability of a BPSK signal transmitted through a band-limited piecewise linear (PWL) limited satellite channel subject to continuous wave (CW) interference as well as additive Gaussian noise. The CW interference is assumed to have a random phase over (
0, 2\pi
) and a fixed frequency f
j
which may be either in or out of the signal band. The analysis is carried out by first formulating a conditional error probability on the uplink channel noise and the CW interference phase and then averaging over the appropriate random variables through conventional Gaussian quadrature formulas and the moment technique used in [2]. Numerical results for the error rate performance are compared to those of hard-limited channels. The results indicate that a PWL limited channel outperforms a hard-limited channel when the out-of-band CW interference power is close to or greater than the desired signal.