Appendix 2: Solving the ERB Equation
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.
Equation 2.6 states the following.
ERB = {24.7 3 [(4.37 3 fc) + 1]} Hz | (A2.1) |
- where fc = the filter center frequency in kHz
- ERB = the equivalent rectangular bandwidth in Hz
- equation valid for (100 Hz < ƒc < 10,000 Hz)
Rearranging step by step to find fc as a function of ERB:
Therefore:
Therefore:
Get Acoustics and Psychoacoustics, 5th Edition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.