Acoustic Detection and Ranging Using Solvable Chaos

  • Ned J. Corron
  • Mark T. Stahl
  • Jonathan N. Blakely
  • Shawn D. PethelEmail author
Part of the Understanding Complex Systems book series (UCS)


Acoustic experiments demonstrate a novel approach to ranging and detection that exploits the properties of a solvable chaotic oscillator. This nonlinear oscillator includes an ordinary differential equation and a discrete switching condition. The chaotic waveform generated by this hybrid system is used as the transmitted waveform. The oscillator admits an exact analytic solution that can be written as the linear convolution of binary symbols and a single basis function. This linear representation enables coherent reception using a simple analog matched filter and without need for digital sampling or signal processing. An audio frequency implementation of the transmitter and receiver is described. Successful acoustic ranging measurements are presented to demonstrate the viability of the approach.


Digital Signal Processor Shift Register Matched Filter Clock Signal Microphone Array 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Ned J. Corron
    • 1
  • Mark T. Stahl
    • 1
  • Jonathan N. Blakely
    • 1
  • Shawn D. Pethel
    • 1
    Email author
  1. 1.U. S. Army RDECOMRedstone ArsenalAlabamaUSA

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