hz2erb

Convert from hertz to equivalent rectangular bandwidth (ERB) scale

Syntax

erb = hz2erb(hz)

Description

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

Examples

Convert Between ERB Scale and Hz

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

hz — Input frequency in Hz

scalar | vector | matrix | multidimensional array

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

Data Types: single | double

Output Arguments

erb — Output frequency on ERB scale

scalar | vector | matrix | multidimensional array

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:

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

References

[1] 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.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.