Accurate Derivation of Chaos-Based Acquisition Performance in a Fading Channel

Abstract

Accurate expressions for sequence acquisition in a chaos-based spread-spectrum system are derived using the statistical properties of the chaos-based spreading sequences. The expressions are validated by comparing the analytical predictions of the acquisition performance with the simulation results for three channel scenarios. Additive white Gaussian noise and Rayleigh fading channels are considered in the first two scenarios. As the third scenario a blind chip interleaving serial search algorithm is proposed and system performance is shown to improve. The simulation results show excellent agreement with the theoretical results for all three scenarios considered. This is significant as previous examinations of the same have only yielded upper-bounds.