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Performance comparisons of frequency-difference and conventional beamforming.

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Frequency-difference beamforming offers a novel approach for sparse receiver arrays by processing signal amplitude products. This method achieves results comparable to conventional beamforming in both underwater and laboratory acoustic experiments.

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Area of Science:

  • Acoustics
  • Signal Processing
  • Array Signal Processing

Background:

  • Conventional beamforming typically processes complex field amplitudes at specific frequencies.
  • Sparse receiver arrays present challenges for traditional beamforming techniques.
  • Frequency-difference beamforming is an alternative method utilizing quadratic products of field amplitudes.

Purpose of the Study:

  • To investigate and report on the performance of frequency-difference beamforming.
  • To compare frequency-difference beamforming with conventional methods using simulations and experiments.
  • To explore the application of frequency-difference beamforming for spherical and plane wave scenarios.

Main Methods:

  • Frequency-difference beamforming was applied to the quadratic product of complex field amplitudes at a difference frequency (ω₂-ω₁).
  • Experiments involved spherical-wave beamforming in a water tank using 15 and 165 kHz pulse signals with a 14-element linear array.
  • Plane-wave beamforming was tested in an ocean environment using frequency-sweep signals and a 16-element vertical array.

Main Results:

  • Frequency-difference beamforming with high-frequency pulses yielded results comparable to conventional beamforming at 15 kHz in the spherical-wave experiment.
  • In the plane-wave experiment, frequency-difference beamforming in the 1.7-2.3 kHz band showed comparable performance to conventional beamforming.
  • The method is readily implementable with standard transducer array recordings of non-zero bandwidth signals.

Conclusions:

  • Frequency-difference beamforming is a viable and effective unconventional beamforming technique for sparse arrays.
  • The method demonstrates comparable performance to conventional beamforming in diverse acoustic environments and signal types.
  • This approach offers a practical alternative for acoustic signal processing, particularly with sparse receiver configurations.