CONSTRUCTION OF CHAOTIC MAPS ON NONCONVEX SPACES — A SOLUTION TO A CSK DECIPHERING PROBLEM

Abstract

In this paper, we propose a solution to one of the problems raised by the authors [Manjunath & Fournier-Prunaret, 2009a] with regard to a deciphering issue in the chaos shift keying technique. Here, we construct maps on nonconvex spaces using a class of chaotic maps on the (closed) unit square and prove that they exhibit chaos. The constructed maps serve as a practical solution to control the deciphering errors in chaos shift keying.