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Acoustic Detection and Ranging Using Solvable Chaos

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International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012)

Part of the book series: Understanding Complex Systems ((UCS))

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Abstract

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.

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Author information

Authors and Affiliations

  1. U. S. Army RDECOM, Redstone Arsenal, Alabama, 35898, USA

    Ned J. Corron, Mark T. Stahl, Jonathan N. Blakely & Shawn D. Pethel

Authors
  1. Ned J. Corron
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  2. Mark T. Stahl
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  3. Jonathan N. Blakely
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  4. Shawn D. Pethel
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Corresponding author

Correspondence to Shawn D. Pethel .

Editor information

Editors and Affiliations

  1. Code 71730, Spawar Systems Center, San Diego, California, USA

    Visarath In

  2. Department of Mathematics, San Diego State University, San Diego, California, USA

    Antonio Palacios

  3. Code 71730, Spawar Systems Center, San Diego, California, USA

    Patrick Longhini

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Corron, N.J., Stahl, M.T., Blakely, J.N., Pethel, S.D. (2014). Acoustic Detection and Ranging Using Solvable Chaos. In: In, V., Palacios, A., Longhini, P. (eds) International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012). Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-02925-2_19

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