The ERB equation can be algebraically rearranged to find a filter’s center frequency

Evidence

To find the center frequency of the auditory filter whose critical bandwidth or ERB is equal to a given value, the ERB equation (Equation 2.6), which relates the critical bandwidth to the center frequency of the filter (fc), can be rearranged as follows. — David Howard, Jamie Angus, coustics and Psychoacoustics, 2783

Categorization

• DEFINE: Explains what the ERB equation relates—critical bandwidth to filter center frequency—and how it can be inverted for practical use.