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Resonance-frequency discrimination.

J P Gagné1, P M Zurek

  • 1Central Institute for the Deaf, St. Louis, Missouri 63110.

The Journal of the Acoustical Society of America
|June 1, 1988
PubMed
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This study quantifies the just-noticeable change in resonance frequency (delta Fr) for second-order filters. Results show delta Fr is primarily dependent on reference frequency and filter selectivity, not signal type.

Area of Science:

  • Acoustics
  • Signal Processing
  • Psychoacoustics

Background:

  • Understanding auditory perception of frequency changes is crucial for audio technology.
  • Second-order filters are fundamental components in signal processing and audio systems.

Purpose of the Study:

  • To measure the just-noticeable difference in resonance frequency (delta Fr) of second-order filters.
  • To investigate the influence of source signal type on delta Fr.
  • To evaluate filter-bank models for predicting auditory performance.

Main Methods:

  • Measurements of delta Fr were conducted using periodic and random white noise signals.
  • The study varied reference resonance frequency (Fr) from 300 to 2000 Hz and filter selectivity (Q) from 1 to 36.
  • Filter-bank models with different filter shapes and prediction schemes were evaluated against the collected data.

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Main Results:

  • The just-noticeable change in resonance frequency (delta Fr) was found to be independent of the source signal type (periodic vs. white noise).
  • A consistent relationship was established: delta Fr = 0.079 Fr / sqrt(Q) across the tested ranges.
  • Filter-bank models using Patterson's derived filters and maximum level difference showed good agreement with the experimental data.

Conclusions:

  • The derived formula provides a reliable prediction for resonance frequency discrimination.
  • Auditory models that use maximum level difference across bands may not fully capture human listeners' ability to utilize subtle level cues.
  • This research informs the design of audio filters and the development of more accurate auditory models.