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A biomimetic basis for the perception of natural sounds

by H. Ammari and B. Davies

(Report number 2020-32)

Abstract
Arrays of subwavelength resonators can mimic the biomechanical properties of the cochlea, at the same scale. We derive, from first principles, a modal time-domain expansion for the scattered pressure field due to such a structure and propose that these modes should form the basis of a signal processing architecture. We investigate the properties of such an approach and show that higher-order gammatone filters appear by cascading. Further, we propose an approach for extracting meaningful global properties from the coefficients, tailored to the statistical properties of so-called natural sounds.

Keywords: subwavelength resonance, metamaterials, auditory processing, gammatone filters, convolutional networks

@Techreport{AD20_905,
  author = {H. Ammari and B. Davies},
  title = {A biomimetic basis for the perception of natural sounds},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2020-32},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2020/2020-32.pdf },
  year = {2020}
}

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