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A correlation receiver is presented for communication using the symbolic dynamics of a chaotic system. A chaotic system offers the potential for power efficient transmitters but many proposals to date have either been susceptible to noise and distortion in the channel, or are spectrally inefficient. The proposed system has a spectrum efficiency equivalent to conventional BPSK and offers a 2 dB performance improvement in AWGN. This is achieved by exploiting diversity in the transmitted signal, whereby each data symbol influences the transmitted pulse shape for the preceding symbols. Correlation detection over multiple symbols allows full exploitation of this diversity. In addition, each symbol can be detected multiple times and so a decoding gain is possible without the need for parity symbols. The diversity mechanism is investigated and the performance gains demonstrated.