erb2hz

Convert from equivalent rectangular bandwidth (ERB) scale to hertz

Syntax

hz = erb2hz(erb)

Description

hz = erb2hz(erb) converts values on the ERB frequency scale to values in hertz.

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

erb — Input frequency on ERB scale

scalar | vector | matrix | multidimensional array

Input frequency on the equivalent rectangular band (ERB) scale, specified as a scalar, vector, matrix, or multidimensional array.

Data Types: single | double

Output Arguments

hz — Output frequency in Hz

scalar | vector | matrix | multidimensional array

Output frequency in Hz, returned as a scalar, vector, matrix, or multidimensional array the same size as erb.

Data Types: single | double

Algorithms

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

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

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™.

Version History

Introduced in R2019a