Error probability for FH/MDPSK in multitone jamming, fast Rician fading, and Gaussian noise

A method is presented for the calculation of M-ary DPSK error probability in partial-band multitone jamming and white gaussian noise. Both unfaded and faded signals and jamming tones may be analyzed by the method. The fading considered is frequency-flat, time selective, Rician fading. The results have application in mobile, slow frequency-hopped, military, satellite systems. The method uses the Pawula-Rice-Roberts (1982) method for calculating the probability distribution function of the phase angle between two vectors when they are perturbed by noise. The worst case error probability in partial-band jamming with fading is efficiently computed using Houston´s (1975) approach. A fundamental parameter, independent of the actual jammer power being used on the system, is identified. The effect of the ratio of the direct signal energy to the faded (indirect) signal energy is shown by example, as is the effect of fading bandwidth and Doppler shift. For practical values of the parameters, jammer fading was not found to be significant. Results for M=2, 4, and 8 are given.<>