A Digital Matched Filter for Reverse Time Chaos
This work provides a practical decoding method for reverse time chaos, potentially benefiting low-power, high-speed communication systems.
The authors developed a digital matched filter for reverse time chaos, enabling high-speed chaotic systems with simpler circuitry. Numerical simulations and hardware implementation confirmed correct detection of chaotic signals.
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.