On the performance analysis of asynchronous FH-SSMA communications

Abstract

A method for calculating the asynchronous frequency-hopping (FH) spread-spectrum multiple-access performance is presented. The method is based on a Gauss quadrature rule, and for this purpose a moment-generation algorithm of the random variables involved is introduced. False alarm and miss probabilities in a basic FH search acquisition configuration and bit error rate in both slow and fast FH binary frequency-shift keying are obtained. Different power levels of the multiuser interference, user activity modeled as a Poisson point process, and nonfading as well as nonselective Rayleigh fading channels are considered