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Many works have recently described digital modulations using chaotic carriers. In general, though, they largely underperform their equivalent conventional counterparts under Additive White Gaussian Noise (AWGN) channel conditions. The first objective of this chapter is to comparatively review and evaluate the performance of chaos based systems by means of their discrete-time low-pass equivalents with particular emphasis on Chaos Shift Keying (CSK), Differential CSK (DCSK) and some of their variants (Section 2) as they provide clues to the low performance of chaotic modulation and thereby pave the way for result improvement. A natural system improvement step is examined in Section 3 by explicitly using generating map information to estimate the received noise-embedded chaotic signal leading to better Bit Error Rate (BER) performance. This is done by contrasting two techniques (a) Maximum Likelihood Estimation (MLE) and (b) the Modified Viterbi Algorithm (MVA) under discretetime one-dimensional chaotic maps. After arguing for MVA’s superior qualities in practice we illustrate the results for the Modified Maximum Likelihood Chaos Shift Keying (MMLCSK) using one and two maps (Section 4) both of which have better symbol error rate characteristics than previous noncoherent chaos communication schemes. The intended chapter structure closely follows the section division adopted in this extended abstract.

Applying Estimation Techniques to Chaos-Based Digital Communications