A Spread Spectrum System with Frequency Hopping and Sequentially Balanced Modulation - Part I: Basic Operation in Broadband Noise

A spread spectrum system incorporating sequentially balanced modulation, fast frequency hopping, phase-comparison tone ranging, and pseudoorthogonal block coding of BPSK data is analyzed from the standpoints of bit error performance and ranging accuracy. A tight upper bound analysis incorporates the effect of the limiter present in the system and accounts for nonzero inner products of the signaling alphabet code words. Somewhat simpler approximate expressions are obtained by a novel application of the central limit theorem. Both the upper bound and the approximate analyses are compared with the results of Monte Carlo simulations and experimental data.