Error Probability of a Noncoherent MFSK/FH Receiver in the Presence of Interference and Gaussian Noise

Abstract

The error probability of a noncoherent MFSK/FH receiver in the presence of interference and thermal Gaussian noise is presented. The interference is assumed to be either partial-band or full-band noise-like or CW (Continuous-Wave) tones, and it hits randomly a fixed number of matched filter channels of the receiver. An expression for error probability for the noise-like interference is obtained; that for CW interference involves some untractable integrals which are evaluated by numerical schemes, called modified Hermite Gaussian quadrature formulas. It is found that the schemes are not only highly effective but also accurate. Numerical examples for error probabilities and receiver degradation are given as a function of interference-to-signal power and signal-to-noise spectral density (Eb/No) ratios.