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Gammatone filter
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Gammatone filter : ウィキペディア英語版
Gammatone filter

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^ e^ \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.〔

==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.〔


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