Title :
Design of binary sequences with tunable exponential autocorrelations and run statistics based on one-dimensional chaotic maps
Author_Institution :
Dept. of Electr. & Comput. Eng., Kumamoto Univ., Japan
Abstract :
This paper describes simple design methods of chaotic binary sequences with prescribed exponential autocorrelation properties and run statistics. We employ one-dimensional piecewise monotonic onto maps and a simple threshold function for generating such sequences. Some examples of such designs are also given. Furthermore, bounds on run statistics are discussed and compared to the result for sequences of general binary random variables.
Keywords :
binary sequences; chaotic communication; correlation theory; statistics; 1D chaotic maps; 1D piecewise monotonic; binary random variables; chaotic binary sequences; exponential autocorrelation; random number; run probability; run statistics; threshold function; tunable exponential autocorrelations; Autocorrelation; Binary sequences; Chaos; Chaotic communication; Design methodology; Multiaccess communication; Probability; Random number generation; Random variables; Statistics; Binary sequence; chaos; exponential autocorrelation; one-dimensional (1-D) map; random number; run probability;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2004.841597
