Equivalent rectangular bandwidth
Encyclopedia
The equivalent rectangular bandwidth or ERB is a measure used in psychoacoustics
, which gives an approximation to the bandwidths of the filters in human hearing, using the unrealistic but convenient simplification of modeling the filters as rectangular band-pass filter
s.
Researchers have derived a differential equation
giving the ERB value
in Hz of a human auditory filter with a center frequency of 
kHz.
Solving this equation gives roughly the following relation between the ERB value
and the frequency 
in Hz:
Or the converse:
A newer approximation is:
Psychoacoustics
Psychoacoustics is the scientific study of sound perception. More specifically, it is the branch of science studying the psychological and physiological responses associated with sound...
, which gives an approximation to the bandwidths of the filters in human hearing, using the unrealistic but convenient simplification of modeling the filters as rectangular band-pass filter
Band-pass filter
A band-pass filter is a device that passes frequencies within a certain range and rejects frequencies outside that range.Optical band-pass filters are of common usage....
s.
Researchers have derived a differential equation
Differential equation
A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders...
giving the ERB value
in Hz of a human auditory filter with a center frequency of kHz.Solving this equation gives roughly the following relation between the ERB value
and the frequency in Hz:Or the converse:
A newer approximation is:
External links
- http://ccrma.stanford.edu/~jos/bbt/Equivalent_Rectangular_Bandwidth.html
- http://www2.ling.su.se/staff/hartmut/bark.htm