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A digital matched filter for reverse time chaos.

J Phillip Bailey1, Aubrey N Beal1, Robert N Dean1

  • 1Electrical and Computer Engineering Department, Auburn University, Auburn, Alabama 36489, USA.

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Reverse time chaos enables hardware chaotic systems with simpler circuits and high speeds. This method allows for matched filter decoding, crucial for detecting chaotic signals, confirmed by simulations and hardware implementation.

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Area of Science:

  • Chaos theory
  • Hardware implementation
  • Signal processing

Background:

  • Existing hardware chaotic systems are complex.
  • Reverse time chaos offers a potential simplification.

Purpose of the Study:

  • To realize hardware chaotic systems using reverse time chaos.
  • To implement matched filter decoding for chaotic signal detection.

Main Methods:

  • Utilized reverse time chaos for hardware system design.
  • Developed a matched filter using a closed-form solution and finite impulse response filter.
  • Performed numerical simulations and hardware description language implementation.

Main Results:

  • Achieved high-speed operation with less complex circuitry.
  • Successfully implemented a digital matched filter for chaotic signal detection.
  • Hardware implementation validated numerical simulation results.

Conclusions:

  • Reverse time chaos is a viable approach for efficient hardware chaotic systems.
  • Matched filter decoding is feasible and effective for these systems.
  • The developed system demonstrates practical applicability in signal detection.