Gammatone filter
Encyclopedia
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
where
is the frequency,
is the phase of the carrier,
is the amplitude,
is the filter's order,
is the filter's bandwidth, and
is time.
This is a sinusoid (a pure tone
) with an amplitude envelope which is a scaled gamma distribution function.
Impulse response
In signal processing, the impulse response, or impulse response function , of a dynamic system is its output when presented with a brief input signal, called an impulse. More generally, an impulse response refers to the reaction of any dynamic system in response to some external change...
that is the product of a gamma distribution and sinusoidal tone. It is a widely used model of auditory filters in the auditory system
Auditory system
The auditory system is the sensory system for the sense of hearing.- Outer ear :The folds of cartilage surrounding the ear canal are called the pinna...
.
The gammatone impulse response is given by
where
is the frequency, is the phase of the carrier, is the amplitude, is the filter's order, is the filter's bandwidth, and is time.This is a sinusoid (a pure tone
Pure tone
A pure tone is a tone with a sinusoidal waveshape.A sine wave is characterized by its frequency, the number of cycles per second—or its wavelength, the distance the waveform travels through its medium within a period—and the amplitude, the size of each cycle...
) with an amplitude envelope which is a scaled gamma distribution function.