A method, based on fundamental properties of chaotic dynamics, is devised for filtering in-band noise of an incoming signal generated by a chaotic oscillator. Initially the $2x$ mod 1 map is used to illustrate the procedure and then the method is applied to recover the message encoded in a realistic chaotic signal, after the transmitted signal has been contaminated with noise.

• Received 10 July 1996

DOI:https://doi.org/10.1103/PhysRevLett.78.1247