Frequency-difference beamforming in the presence of strong random scattering

The Journal of the Acoustical Society of America
Alexander S Douglass, David R Dowling

Abstract

Frequency-difference beamforming [Abadi, Song, and Dowling (2012). J. Acoust. Soc. Am. 132, 3018-3029] is a nonlinear, out-of-band signal processing technique used to beamform non-zero bandwidth signals at below-band frequencies. This is accomplished with the frequency-difference autoproduct AP(Δω)=P(ω2)P*(ω1), a quadratic product of complex field amplitudes that mimics a genuine field at the difference frequency, Δω=ω2-ω1. For frequency-difference beamforming, AP(Δω) replaces the in-band complex field in the conventional beamforming algorithm. Here, the near-field performance of frequency-difference beamforming is evaluated in the presence of 1 to 30 high-contrast spherical scatterers with radius a placed between, and in the plane defined by the source and a 12-element linear receiving array with element spacing d. Based on the center frequency wave number, k, of the 150-200 kHz frequency sweep source signal, the scatterers are large, ka ≈ 15; the array is sparse, kd = 37; and the average source-to-receiver distance is up to 4.3 mean-free-path lengths. Beamforming results from simulations and experiments show that in-band beamforming loses peak-to-sidelobe ratio and fails to reliably locate the source as the scatterer count in...Continue Reading

References

Aug 11, 2007·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Edwin A MarengoFrancesco Simonetti
Feb 6, 2008·The Journal of the Acoustical Society of America·Thomas R Hahn
Oct 7, 2011·The Journal of the Acoustical Society of America·Geoffrey F Edelmann, Charles F Gaumond
Nov 14, 2012·The Journal of the Acoustical Society of America·Shima H AbadiDavid R Dowling
Jan 3, 2016·The Journal of the Acoustical Society of America·Brian M WorthmannDavid R Dowling
Jan 3, 2016·The Journal of the Acoustical Society of America·Xun WangPierre Sagaut
Feb 6, 2017·The Journal of the Acoustical Society of America·Brian M WorthmannDavid R Dowling
Jul 7, 2017·The Journal of the Acoustical Society of America·Brian M Worthmann, David R Dowling
Oct 2, 2017·The Journal of the Acoustical Society of America·Alexander S DouglassDavid R Dowling
May 3, 2018·The Journal of the Acoustical Society of America·Jessica E LipaDavid R Dowling
Jul 2, 2018·The Journal of the Acoustical Society of America·Peter GerstoftMichael Bianco
Aug 5, 2018·The Journal of the Acoustical Society of America·Shima H AbadiDavid R Dowling

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Citations

Jul 3, 2020·The Journal of the Acoustical Society of America·Brian M Worthmann, David R Dowling
Jan 1, 2021·The Journal of the Acoustical Society of America·Lei XieJiwei Tian
Mar 1, 2021·The Journal of the Acoustical Society of America·David J GeroskiDavid R Dowling
Aug 4, 2021·The Journal of the Acoustical Society of America·David J Geroski, David R Dowling

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