Summary
2007 International Symposium on Nonlinear Theory and its Applications
2007
Session Number:18AM2-C
Session:
Number:18AM2-C-1
Optimal Spreading Sequences for Chaos-Based Communication Systems
T. Papamarkou, A.J. Lawrance,
pp.208-211
Publication Date:2007/9/16
Online ISSN:2188-5079
DOI:10.34385/proc.41.18AM2-C-1
Summary:
As a continuation from [2], some higherorder statistical dependency aspects of chaotic spreading sequences used in communication systems are presented. The autocorrelation function (ACF) of the mean-adjusted squares, termed the quadratic autocorrelation function, forms the building block of nonlinear dependence assessment of the family of spreading sequences under investigation. Explicit results are provided for the theoretical lower bound, the so-called Fr´echet lower bound, of the quadratic ACF of that family. A method for producing a spreading sequence which attains the Fr´echet bound is introduced.