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n-tuple coprime sensor arrays.

Dane Bush1, Ning Xiang1

  • 1Graduate Program in Architectural Acoustics, School of Architecture, Rensselaer Polytechnic Institute, Troy, New York 12180, USA bushd2@rpi.edu, xiangn@rpi.edu.

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Summary
This summary is machine-generated.

This study introduces n-tuple coprime sensor arrays, extending coprime array theory beyond two subarrays. Experimental results demonstrate enhanced performance, enabling higher frequencies with fewer sensors.

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Area of Science:

  • Array Signal Processing
  • Electromagnetics and Acoustics

Background:

  • Coprime sensor arrays use two subarrays to emulate larger uniform arrays, enabling higher frequencies or reduced element counts.
  • Existing theory relies on pairs of coprime integers (M, N) to manage grating lobes via product processing or directional filter banks.

Purpose of the Study:

  • To expound and implement the theory of "n-tuple coprime sensor arrays" using more than two coprime integers.
  • To experimentally validate the performance of a triple coprime sensor array (n=3).
  • To investigate the operational frequency range of n-tuple coprime arrays.

Main Methods:

  • Extension of established product processing techniques for n-tuple coprime arrays.
  • Experimental measurement of beampatterns for a triple coprime sensor array.
  • Theoretical analysis of n-tuple coprime array performance.

Main Results:

  • Experimental validation of the n-tuple coprime sensor array concept with a triple coprime array.
  • Demonstration of extended usable frequency range below the design frequency.
  • Confirmation of theoretical predictions regarding performance enhancement with increased coprime factors.

Conclusions:

  • N-tuple coprime sensor arrays offer a scalable approach to improving sensor array performance.
  • The developed theory and experimental results confirm the benefits of using more than two coprime factors.
  • The findings suggest potential for further advancements in sensor array design for various applications.