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The advances in the development of chaos based communication system suggests that chaos shift keying (CSK) and its variant Differential CSK (DCSK) are one of the most promising candidates for practical implementation. In this paper a DCSK communication system incorporating a non coherent approach of demodulation based on a correlation detector is considered over a multipath fading channel. Specifically, it can be anticipated that the channel will introduce attenuation and cause distortion in the transmitted sequence due to fading and multipath. This distortion will cause Intersymbol interference (ISI) and will also add noise. Channel equalizers are capable of removing ISI from the transmitted sequence and also noise. In this paper the performance of a linear MMSE channel equalizer is analysed for a DCSK communication system over a multipath fading channel with additive white Gaussian noise.

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