Documentation

hz2erb

Convert from hertz to equivalent rectangular bandwidth (ERB) scale

Description

example

erb = hz2erb(hz) converts values in hertz to values on the ERB frequency scale.

Examples

collapse all

Set two bounding frequencies in Hz and then convert them to the ERB scale.

b = hz2erb([20,8000]);

Generate a row vector of 32 values uniformly spaced on the ERB scale.

erbVect = linspace(b(1),b(2),32);

Convert the row vector of values into equivalent frequencies in Hz.

hzVect = erb2hz(erbVect);

Plot the two vectors for comparison. As ERB values increase linearly, Hz values increase exponentially.

plot(erbVect,hzVect,'o')
title('ERB vs Hz')
xlabel('ERB')
ylabel('Hz')
grid on Input Arguments

collapse all

Input frequency in Hz, specified as a scalar, vector, matrix, or multidimensional array.

Data Types: single | double

Output Arguments

collapse all

Output frequency on the ERB scale, returned as a scalar, vector, matrix, or multidimensional array the same size as hz.

Data Types: single | double

Algorithms

The frequency conversion from Hz to the ERB scale uses the following formula:

$\begin{array}{l}erb=A{\mathrm{log}}_{10}\left(1+hz\left(0.00437\right)\right)\\ \text{where}\\ A=\frac{1000{\mathrm{log}}_{e}\left(10\right)}{\left(24.7\right)\left(4.37\right)}\end{array}$

 Glasberg, Brian R., and Brian C. J. Moore. "Derivation of Auditory Filter Shapes from Notched-Noise Data." Hearing Research. Vol. 47, Issues 1–2, 1990, pp. 103–138.

Audio Toolbox Documentation Get trial now