A Chaos-Based High Quality PN Sequence Generator

Chaos theory has been widely used in PN sequence generator in recent years and the chaos sequence quantification scheme has great influence on the performance of a generator. In this paper, an improved stochastic multi-bits quantification scheme based on Chebyshev map is proposed to extend the period and improve the performance of chaotic binary sequence under precision restricted condition. The balance and correlation property of the generated sequence are analyzed. The sequence is proved to be a binary Bernoulli sequence and the distribution of the differences between the amounts of 0 and 1 is analyzed. The side lobes of auto and cross correlation are proved to obey normal distribution (0, 1/N). The simulation results indicate that the algorithm has excellent balance and correlation property.