Channel equalization and performance analysis of a coherent frequency hopped spread spectrum system

A design and analysis of a coherent frequency-hopped (C-FH) spread-spectrum system operating in the presence of both jamming and a nonideal channel response is presented. A simple channel equalizer and a joint maximum-likelihood RF and C-FH phase track loop operate simultaneously. By assuming that the channel response is smooth over every slot, and that the effect of decision error is negligible, the convergence properties of the equalizer are analyzed in the presence of jamming. The numerical results are shown for the average error probability, the steady-state mean-square-error, and the convergence time when the system is operating in the presence of both frequency error and arbitrary channel phase response. The overall performance is very close to that of an ideally synchronized system, except when a coherent multitone jammer is present having the same phase of the received signal. In this latter case, the system experiences slightly more degradation