Version 220.127.116.11 (88.3 KB) by Dr. Erol Kalkan, P.E.
This function applies whitening to a given signal within user defined frequency band.
Updated 3 May 2023
FREQUENCY DOMAIN WHITENING OF DISCRETE TIME SIGNAL
The provided function is capable of generating a flat Fourier spectrum for a non-white signal, either across the full frequency range of 0 Hz to the Nyquist frequency, or a frequency band designated by the user. This operation typically results in the sharpening of both the signal and its associated noise.
Whitening is a commonly used technique in ambient vibration data analysis, particularly when stacking waveforms for cross-correlation. The process involves applying a Hann window to the signal, Fourier transforming it, normalizing the magnitude, and finally inverse Fourier transforming it.
Overall, this is a straightforward process that can be applied to improve the quality of signal data.
xnew = whitening(x, Fs, freq, ) for the full range of 0 Hz to the Nyquist frequency
xnew = whitening(x, Fs, freq, [0.1, 20]) for 0.1 Hz to 20 Hz as an example
x = input signal (x must be a row vector)
Fs = sampling rate (e.g., 200)
freq = frequency limit for whitening in Hz (e.g., freq, [ ] or freq, [0.1, 20])
xnew = spectrally whitened signal for the full range of 0 Hz to the
Nyquist frequency or within a user defined frequency band
Example: See demo.m file
Dr. Erol Kalkan, P.E. (2023). SPECTRAL WHITENING (https://www.mathworks.com/matlabcentral/fileexchange/65345-spectral-whitening), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Created with R2017b
Compatible with any release
Platform CompatibilityWindows macOS Linux
- Signal Processing > Signal Processing Toolbox > Transforms, Correlation, and Modeling > Transforms > Discrete Fourier and Cosine Transforms >
Find more on Discrete Fourier and Cosine Transforms in Help Center and MATLAB Answers
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