Multi-Element Receiver for Ultra-Wideband Chaotic Communications

A system of ultra-wideband communications is considered, in which both transmitter and receiver are multielement devices composed of $N$ UWB direct chaotic transceivers, operating in collective mode. The transmission side of the system was investigated earlier, and the structure of its emission field was analyzed in details. Collective information transmission with $N$ independent, yet synchronous ultra-wideband chaotic transmitters increased signal-to-noise ratio at the receiver input by a factor of $N$. Here, a multi-element energy receiver (ensemble of envelope detectors) is investigated analytically. As is shown, the use of $N$-element receiving system increases the output signal-to-noise ratio by another factor of $N$. Thus, the overall effect of $N$ transmitters plus $N$ receivers is an increase of the output signal-to-noise ratio by a factor of $N^{2}$, which means $N$-times larger communication distance.