Arbitrary Spectral Slope Noise Generation with Matlab

Arbitrary spectral slope ( f^a) noise generation via spectral processing of white noise.

The present code is a Matlab function that provides a generation of noise signal with arbitrary power spectral density (PSD) slope f^a. For instance:

1) White noise: a = 0;

2) Pink noise: a = −1;

3) Red noise: a = −2;

4) Blue noise: a = +1;

5) Violet noise: a = +2.

Two examples are given in order to clarify the usage of the function. For convenience, the input and output arguments are given in the beginning of the function. The generated noise signal has unity standard deviation and zero mean value.

The code is based on the theory described in:

[1] H. Zhivomirov. A Method for Colored Noise Generation. Romanian Journal of Acoustics and Vibration, ISSN: 1584-7284, Vol. XV, No. 1, pp. 14-19, 2018. (http://rjav.sra.ro/index.php/rjav/article/view/40/29)