Design of Pseudochaotic Maximum Length Sequences With Prescribed Autocorrelation Obtained From Discretized Chaos Maps

In this paper, a family of pseudochaotic sequences with maximum length, which are named maximal-period pseudochaotic sequences, obtained from a class of discretized piecewise linear map is considered. Firstly, a theoretical framework to design maximal-period pseudochaotic sequences is introduced by using the relationship between the discretized chaos maps and transpositions. The design of binary sequences having constant autocorrelation values for some time delay is theoretically established by using the discretized chaotic maps. Since past decade, many efforts have been devoted to chaos-based digital communications and related systems.