Title :
A High Quality PN Sequence Generator Based on Chaotic Maps
Author_Institution :
Dept. of Appl. Math., Changchun Coll. of Taxation, Changchun, China
Abstract :
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.
Keywords :
chaos; random number generation; signal generators; stochastic processes; Chebyshev map; binary Bernoulli sequence; chaos sequence quantification scheme; chaos theory; chaotic binary sequence; chaotic maps; cross correlation algorithm; high quality PN sequence generator; stochastic multibit quantification scheme; Autocorrelation; Bifurcation; Binary sequences; Chaos; Chebyshev approximation; High performance computing; Mathematics; Signal generators; Stochastic processes; Stochastic systems;
Conference_Titel :
Natural Computation, 2009. ICNC '09. Fifth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3736-8
DOI :
10.1109/ICNC.2009.553
