A Digital Matched Filter for Reverse Time Chaos

TL;DR

This paper presents a digital matched filter for reverse time chaos systems, enabling efficient detection of chaotic signals with reduced circuit complexity and verified through simulations and hardware implementation.

Contribution

It introduces a digital matched filter based on a closed-form solution for reverse time chaos, simplifying hardware design and improving detection performance.

Findings

Numerical simulations confirm correct filter implementation.

Hardware description language implementation matches simulation results.

Filter enables effective chaotic signal detection in hardware.

Abstract

The use of reverse time chaos allows the realization of hardware chaotic systems that can operate at speeds equivalent to existing state of the art while requiring significantly less complex circuitry. Matched filter decoding is possible for the reverse time system since it exhibits a closed form solution formed partially by a linear basis pulse. Coefficients have been calculated and are used to realize the matched filter digitally as a finite impulse response filter. Numerical simulations confirm that this correctly implements a matched filter that can be used for detection of the chaotic signal. In addition, the direct form of the filter has been implemented in hardware description language and demonstrates performance in agreement with numerical results.