  Some new properties of the chaotic signal have been implemented in
communication system applications recently. However, due to the broadband
property of the chaotic signal, it is very difficult for a practical transducer
or antenna to convert such a broadband signal into a signal that would be
suitable for practical band-limited wireless channel. Thus, the use of chaos
property to improve the performance of conventional communication system
without changing the system configuration becomes a critical issue in
communication with chaos. In this paper, chaotic baseband waveform generated by
a chaotic shaping filter is used to show that this difficulty can be overcome.
The generated continuous-time chaotic waveform is proven to be topologically
conjugate to a symbolic sequence, allowing the encoding of arbitrary
information sequence into the chaotic waveform. A finite impulse response
filter is used to replace the impulse control in order to encode information
into the chaotic signal, simplifying the algorithm for high speed
communication. A wireless communication system is being proposed using the
chaotic signal as the baseband waveform, which is compatible with the general
wireless communication platform. The matched filter and decoding method, using
chaos properties, enhance the communication system performance. The Bit Error
Rate (BER) and computational complexity performances of the proposed wireless
communication system are analyzed and compared with the conventional wireless
systems. The results show that the proposed chaotic baseband waveform of our
wireless communication method has better BER performance in both the static and
time-varying wireless channels. The experimental results, based on the
commonly-used wireless open-access research platform, show that the BER of the
proposed method is superior to the conventional method under a practical
wireless multipath channel.
