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Chaos-based Wireless Communication Resisting Multipath Effect

In additive white gaussian noise (AWGN) channel, chaos has been proved to be optimal coherent communication waveform in the sense of maximizing the signal-to-noise ratio (SNR). Recently, Lyapunov exponent spectrum of the chaotic signals after being transmitted through a wireless channel has also been proved to be unaltered, which paves the way for wireless communication using chaos. In wireless communication system, intersymbol interference (ISI) caused by multipath propagation is one of main obstacles to achieve high bit transmission rate and low bit error rate (BER). How to resist multipath effect is a fundamental problem in chaos-based wireless communication system (CWCS). In this paper, a CWCS is built by transmitting chaotic signals generated by a hybrid dynamical system and filtering the received signal using the corresponding matched filter to decrease noise effect and to detect binary information. We find that the multipath effect can be effectively resisted by regrouping the return map of received signal and setting the corresponding threshold using available information. We show that the optimal threshold is a function of the channel parameters and the transmitted information symbols. Practically, the channel parameters are time-variant, and the future information symbols are unavailable. In this case, a suboptimal threshold (SOT) is proposed, and the BER using the SOT is derived analytically. Numerical experimental results show that the CWCS achieves a very competitive performance even under inaccurate channel parameters.