Modulation, Shaping and Replicability of UWB Chaotic Radiopulses for Wireless Sensor Applications.

A modulation method is proposed for generating identical UWB chaotic radio pulses using an analog generator of chaotic oscillations. The problem is on the edge of two contradicting requirements: (1) theoretical ability to produce a huge number of various-shape signals, because of high sensitivity to the initial conditions of the generator; (2) the necessity to reproduce oscillations of the same shape both in the receiver and in the transmitter for the implementation of coherent methods of signal processing. The considered method allows us to resolve this contradiction.

Dynamic separation of chaotic signals in the presence of noise.

The problem of separation of a noise-contaminated observed sum of chaotic signals into the individual components is considered. A noise threshold is found above which high-quality separation is impossible. Below the threshold, each signal is recovered with any prescribed accuracy with a separation method.