Communication with unstable basis functions

Abstract

Work by Corron et al. [1,2] represented a chaotic signal as a set of basis functions, and built a matched filter for the resulting signal. This paper makes use of basis functions without an underlying chaotic system. Matched filtering is still possible, allowing communication in noisy environments, but the resulting signals can be broad band, which is useful for producing signals that are hard to detect. The receiver design retains the simplicity of Corron et al. [1,2], which is good when weight, power consumption or bandwidth are constraints on the receiver.