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A new feature of the chaotic signal generated by chaotic shape-forming filter(CSF) is uncovered in this work. We find that, the autocorrelation function(ACF) of the transmitting signal generated by CSF keeps the same as that of thebase function of CSF, no matter what information is encoded. We derive theanalytical equation to describe the relation between the ACF of the receivedsignal and the wireless channel parameters using the ACF of the transmittedsignal as prior knowledge revealed by the finding in this work. This newproperty can be utilized together with different wireless communication systemsto improve the system performance. Specially, to demonstrate the improvement,channel state information (CSI) is identified using the chaotic basebandwireless communication as a paradigm. Two significant benefits by using the newproperty are 1) the CSI can be identified without the probe information knownto the receiver as done in the conventional wireless communication systems,which improves the bandwidth efficiency, especially in the time-varyingchannel; 2) the correlation operation is insensitive to the channel noise,which improves the identification accuracy as compared to the commonly usedmethods.

Autocorrelation Invariance Property of Chaos for Wireless Communication