Analytical and Performance Evaluation of Chaotic Sequences under Effect of Gaussian Mixture Noise

Abstract

Generally, the communication receivers are designed to receive the Gaussian noise signals, consequently its performance degrade if the noise changed to be non-Gaussian. One of the most popular non-Gaussian noises is the Gaussian Mixture (GM) distribution, which is used to model the underwater channel, due to its universal approximation properties. On the other hand, Spread Spectrum (SS) has many applications in underwater communication; consequently it was necessary to analyze it under effect of GM noise. Actually, there were a little researches investigate and present an analytical analysis of the spread spectrum error probability in the underwater channel with the GM noise. In this paper, the chaotic sequence code is applied and verified as a spreading code for the SS system in underwater acoustic channel with GM noise. The error performance is presented and derived analytically with and without the spreading process. The results show that applying the chaotic sequence significantly improves the performance in the underwater acoustic channel with the Gaussian mixture noise.