Chaotic Signals in Digital Communications

7

Matched filters for chaotic signals

Jonathan N. Blakely and Ned J. Corron

Charles M. Bowden Laboratory, US Army Aviation & Missile Research, Development, and Engineering Center

CONTENTS

7.1    Introduction

7.2    Matched filters optimize signal to noise

7.3    Chaotic oscillators with matched filters

7.3.1    Exact shift oscillator

7.3.2    Exact folded band oscillator

7.4    Experimental demonstration of a matched filter for chaos

7.5    Outlook

Bibliography

Conventional communication waveforms are composed of a small set of basis functions that are superposed to represent a stream of bits. Optimal detection of such signals in the presence of noise is achieved by a matched filter, i.e., a linear filter whose impulse response is the time-reverse ...