Nonlinear Dynamics from Infinite Impulse Response Matched Filters

  • Ned J. CorronEmail author
  • Jonathan N. Blakely
Conference paper
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 6)


Standard methods of communication theory are used to derive optimal waveforms for transmitting information through noise using infinite impulse response matched filters as receivers. In two examples, the derived optimal communication waveforms are chaotic. Extrapolating from these simple examples, we posit that the optimal communication waveform for any stable infinite impulse response filter can similarly be chaotic. This conjecture implies the phenomena of nonlinear dynamics and chaos are fundamental and essential to a full understanding of modern communication theory.


Matched Filter Infinite Impulse Response Linear Filter Positive Lyapunov Exponent Chaotic Nature 
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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Charles M. Bowden LaboratoryU.S. Army AMRDECHuntsvilleUSA

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