Gammatone filter

Figure 1: A gammatone impulse response.

A gammatone filter is a linear filter described by an impulse response that is the product of a gamma distribution and sinusoidal tone. It is a widely used model of auditory filters in the auditory system.

The gammatone impulse response is given by

g(t)=at^{n-1}e^{-2\pi bt}\cos(2\pi ft+\phi ),\,

where $f$ (in Hz) is the center frequency, $\phi$ (in radians) is the phase of the carrier, $a$ is the amplitude, $n$ is the filter's order, $b$ (in Hz) is the filter's bandwidth, and $t$ (in seconds) is time.

This is a sinusoid (a pure tone) with an amplitude envelope which is a scaled gamma distribution function.^[1]

Variations

Variations and improvements of the gammatone model of auditory filtering include the gammachirp filter, the all-pole and one-zero gammatone filters, the two-sided gammatone filter, and filter cascade models, and various level-dependent and dynamically nonlinear versions of these.^[2]

References

↑ Slaney, Malcolm (1993). "An Efficient Implementation of the Patterson-Holdsworth Auditory Filter Bank" (PDF). Apple Computer Technical Report #35.
↑ Richard F. Lyon; Andreas G. Katsiamis; Emmanuel M. Drakakis (2010). "History and Future of Auditory Filter Models" (PDF). Proc. ISCAS. IEEE.

External links

This article is issued from Wikipedia - version of the 5/31/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.