The method of frequency determination of impulse response components based on cross-correlation vs. fast fourier transform
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Faculty of Mechanical Engineering, Department of Automatic Control and Robotics Bialystok University of Technology, ul. Wiejska 45C, 15-351 Bialystok, Poland
Publication date: 2017-12-21
Diagnostyka 2016;17(1):59-64
The paper presents results of impulse response spectral analysis that has been obtained using a method based on cross-correlation. The impulse response spectrum is achieved by correlating the impulse response and reference single-harmonic signals and using Hilbert transform to obtain an envelope of cross-correlation. Then, surface area unde r the envelope is calculating and its plot in frequency domain is making. The spectrum obtained this way has its advantage over the fast Fourier transform (FFT) that its spectral resolution does not depend on length of impulse response. At the same time, the spectral resolution can be much greater than spect ral resolution resultant from FFT. Obtained results show that presented method gives possibilities to determine frequencies of impulse response components more accurate in comparison to FFT particularly for short-time impulse responses.
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