Return-map-based approaches for noncoherent detection in chaotic digital communications

In this work, simple noncoherent detection methods for chaos-shift-keying (CSK) modulation are proposed. By exploiting some deterministic property of the two chaotic maps, the proposed methods recover the digital message through simple decision algorithms. Specifically, the proposed methods exploit the difference in the return maps of the signals representing the digital symbols. Two specific algorithms are discussed, namely a regression-based algorithm and a probability-based algorithm. Simple tent maps are used for illustration. The bit-error-rate under additive white Gaussian noise is studied by computer simulations.