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Low Discrepancy Sparse Phased Array Antennas.

Travis Torres1, Nicola Anselmi2, Payam Nayeri1

  • 1Electrical Engineering Department, Colorado School of Mines, Golden, CO 80401, USA.

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|December 10, 2021
PubMed
Summary
This summary is machine-generated.

Sparse arrays can be improved using low discrepancy sequences (LDS) to eliminate grating lobes. Poisson disk sampling, an LDS technique, is recommended for practical sparse array design.

Keywords:
low discrepancy sequencenonuniform arrayphased arrayplanar arrayrandom arraysensor arraysparse array

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Area of Science:

  • Antenna theory
  • Array signal processing
  • Computational electromagnetics

Background:

  • Sparse arrays often exhibit grating lobes in their far-field patterns due to element spacing.
  • Traditional random element placement avoids grating lobes but leads to uneven element density and potential overlap.
  • Existing methods struggle to balance grating lobe suppression with practical element separation.

Purpose of the Study:

  • To introduce and evaluate low discrepancy sequences (LDS) for element placement in sparse planar arrays.
  • To demonstrate the effectiveness of LDS in eliminating grating lobes while maintaining practical element spacing.
  • To identify the optimal LDS technique for sparse array design.

Main Methods:

  • Utilizing low discrepancy sequences (LDS), specifically Poisson disk sampling, to generate element locations.
  • Developing mathematical formulations for implementing LDS-generated element lattices in sparse planar arrays.
  • Conducting numerical simulations across multiple array configurations to assess performance.

Main Results:

  • LDS techniques successfully eliminate grating lobes in sparse planar arrays.
  • Uniform sparse LDS arrays utilize up to 86% fewer elements than fully populated arrays.
  • Poisson disk sampling demonstrated superior performance compared to other LDS techniques.

Conclusions:

  • Low discrepancy sequences offer a non-random, effective method for designing sparse arrays without grating lobes.
  • LDS techniques are robust and not dependent on the specific planar array type or shape.
  • Poisson disk sampling is the recommended LDS technique for achieving optimal performance in sparse arrays.