# Equivalent rectangular bandwidth

Equivalent rectangular bandwidth

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 filters.

Researchers have derived a differential equation giving the ERB value $v$ in Hz of a human auditory filter with a center frequency of $f$ kHz:$frac\left\{df\right\}\left\{dv\right\} = 6.23 cdot f^2 + 93.39 cdot f + 28.52$

Solving this equation gives roughly the following relation between the ERB value $v$ and the frequency $f$ in Hz::$v = 11.17268 cdot logleft\left(1 + frac\left\{46.06538 cdot f\right\}\left\{f + 14678.49\right\} ight\right)$

Or the converse::$f = frac\left\{676170.4\right\}\left\{47.06538 - e^\left\{0.08950404 cdot v - 14678.49$

ee also

* Critical bands
* Bark scale

Wikimedia Foundation. 2010.

### Look at other dictionaries:

• Critical bands — The term critical band, introduced by Harvey Fletcher in the 1940s, referred to the frequency bandwidth of the then loosely defined auditory filter. Since Georg von Békésy’s studies (1960), the term also refers literally to the specific area on… …   Wikipedia

• Critical band — The term critical band, introduced by Harvey Fletcher in the 1940s, referred to the frequency bandwidth of the then loosely defined auditory filter. Psychophysiologically, beating and auditory roughness sensations can be linked to the inability… …   Wikipedia

• ERB — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. 1) Sigles et acronymes ERB : ancien acronyme français pour l École de Radiotélégraphie de Bordeaux, actuellement ENSEIRB. ERB. acronyme anglais… …   Wikipédia en Français

• Erb — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. 1) Sigles et acronymes ERB : ancien acronyme français pour l École de Radiotélégraphie de Bordeaux, actuellement ENSEIRB. ERB. acronyme anglais… …   Wikipédia en Français

• Erb (homonymie) — Erb Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. 1) Sigles et acronymes ERB : ancien acronyme français pour l École de Radiotélégraphie de Bordeaux, actuellement ENSEIRB. ERB. acronyme anglais… …   Wikipédia en Français

• ERB-Skala — Die ERB Skala ist eine Methode zur Bestimmung der äquivalenten Rechteckbandbreite von auditiven Filtern. ERB ist eine aus dem Englischen kommende Abkürzung für Equivalent Rectangular Bandwidth (etwa: Äquivalentrechteck Bandbreite), die zur… …   Deutsch Wikipedia

• Erb-Skala — Die ERB Skala ist eine Methode zur Bestimmung der äquivalenten Rechteckbandbreite von auditiven Filtern. ERB ist eine aus dem Englischen kommende Abkürzung für Equivalent Rectangular Bandwidth (etwa: Äquivalentrechteck Bandbreite), die zur… …   Deutsch Wikipedia

• List of mathematics articles (E) — NOTOC E E₇ E (mathematical constant) E function E₈ lattice E₈ manifold E∞ operad E7½ E8 investigation tool Earley parser Early stopping Earnshaw s theorem Earth mover s distance East Journal on Approximations Eastern Arabic numerals Easton s… …   Wikipedia

• Psychoacoustics — is the study of subjective human perception of sounds. Alternatively it can be described as the study of the psychological correlates of the physical parameters of acoustics. Background Hearing is not a purely mechanical phenomenon of wave… …   Wikipedia

• Erb — or erb or ErB may refer to: * King Erb of Gwent in south east Wales * Edgar Rice Burroughs, the fantasy author who wrote the Tarzan and John Carter of Mars novels. * Educational Records Bureau, an educational testing organization. * Wilhelm… …   Wikipedia