Abstract

The authors present a general method based on the concept of circularly symmetric signals, for the evaluation of the average probability of error of uncoded asynchronous noncoherent frequency hopped spread spectrum multiple access (FH-SSMA) communications over cellular dispersive fading channels. This method provides an accurate approximation and a tight upper bound to the symbol error probability of orthogonal MFSK over nonselective and selective fading channels, respectively. Nonselective fading is considered for the two extreme cases: a system with no interleaving and a channel with fading which is slow relative to the hopping rate; and a system which is fully interleaved. The authors consider a general class of Gaussian wide-sense-stationary uncorrelated scattering (GWSSUS) fading channels. Several conclusions are drawn from the application of this method, namely the influence of power control on nonselective fading. This is compared with the selective fading case, for which a different situation occurs. The Gaussian approximation method is also presented and compared.

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