Functional and Structural Implications of Non-Separability of Spectral and Temporal Responses in AI

Abstract

Units in primary auditory cortex (AI) are well characterized by their responses to moving ripples; specifically the two-dimensional transfer function T(w,) measured over a range of ripple velocities w and densities. A Fourier transformation of the transfer function (TF) gives the Spectro-Temporal Reponse Field of the unit, STRF(t,x) where x=log(frequency). An important property of a TF is its separability, i.e., whether it can be decomposed into the product of two one-dimensional functions (T=T_x*T_). A separable TF is one whose temporal T(w.,) and spectral T(.,)TF are independent of each other. A fully separable TF is reducible to a single product, independent of the direction of travel of a sound (i.e. upward or downward); a quadrant separable TF is separable only within each direction, i.e. within a quadrant of the two dimensional TF. We shall discuss three important aspects of separability: (1) Separability can be assessed in a graded fashion as we illustrate using singular-value-decomposition methods; (2) Quadrant separable TF imply highly constrained temporal and spectral interactions, reflecting underlying functional and organizational principles; (3) Transfer function inseparability and quadrant separability are fundamentally due to asymmetries in the responses to upward vs downward moving sound envelopes. [Simon, J. et al. 2000, Assoc. Res. Otolaryngol. Abs: 5335.]

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Document Details

Document Type
Technical Report
Publication Date
Feb 23, 2000
Accession Number
ADA484245

Entities

People

  • David J. Klein
  • Didier A. Depireux
  • Jonathan Z. Simon
  • Shihab A. Shamma

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Artificial Intelligence
  • Asymmetry
  • Communication Disorders
  • Computers
  • Diseases And Disorders
  • Electrical Engineering
  • Engineering
  • Fourier Transformation
  • Frequency
  • Frequency Modulation
  • Maryland
  • Quadrants
  • Statistics
  • Symmetry
  • Transfer Functions
  • Two Dimensional
  • Universities

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  • Calculus or Mathematical Analysis
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