
For FullText PDF, please login, if you are a member of IEICE,
or go to Pay Per View on menu list, if you are a nonmember of IEICE.

Explicit Evaluations of Correlation Functions of Chebyshev Binary and Bit Sequences Based on Perron–Frobenius Operator
Tohru KOHDA Akio TSUNEDA
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E77A
No.11
pp.17941800 Publication Date: 1994/11/25 Online ISSN:
DOI: Print ISSN: 09168508 Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and Its Applications) Category: Chaos and Related Topics Keyword: chaos, correlation function, nonlinear ergodic map, Chebyshev binary and bit sequence, Perron–Frobenius operator,
Full Text: PDF>>
Summary:
Binary sequences with good correlation properties are required for a variety of engineering applications. We previously proposed simple methods to generate binary sequences based on chaotic nonlinear maps. In this paper, statistical properties of chaotic binary sequences generated by Chebyshev maps are discussed. We explicitly evaluate the correlation functions by means of the ensemble–average technique based on the Perron–Frobenius (P–F) operator. As a consequence, we can confirm an important role of the P–F operator in evaluating statistics of chaos by means of the ensembleaverage technique.

