Performance of Weak Asymmetric MHPM Signals in Non-Gaussian Noise

A locally optimum receiver structure is derived for coherent detection of Multi-H phase-coded modulation (MHPM), with asymmetric modulation parameters, signals in non-Gaussian noise. The receiver consists of a memoryless non-linearity, -d/dr ln p_N(r), followed by a coherent average matched filter (AMF) for MHPM with asymmetric modulation parameters, where p_N(r) denotes the first-order probability density of the noise. The limiting performance estimates of this receiver are derived and expressions for bit error rate (BER) are presented. It is observed that the BER is a function of: i) signal-to-noise ratio S; ii) the number of observation intervals n; iii) signal modulation parameters; and iv) the quantity L referred to as the asymptotic relative efficiency (ARE). Numerical results for BER performance of the locally optimum receiver are presented. Middleton´s class A noise models is considered.