Frequency Analysis with Cross-Correlation Envelope Approach

• Autorzy: Kotowski A.
• Języki publikacji: EN

Abstrakty

EN

A new approach for frequency analysis of recorded signals and readout the frequency of harmonics is presented in the paper. The main purpose has been achieved by the cross$correlation function and Hilbert transform. Using the method presented in the paper, there is another possibility to observe and finally to identify single harmonic apart from commonly used Fourier transform. Identification of the harmonic is based on the effect of a straight line of the envelope of the cross$correlation function when reference and signal harmon$ ic have the same frequency. This particular case is the basis for pointing the value of the frequency of harmonic component detected.

Słowa kluczowe

EN

frequency analysis; cross-correlation; Hilbert transform; envelope

PL

analiza częstotliwości; transformacja Hilberta

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2012
• Tom: Vol. 6, no. 4
• Strony: 27--31
• Opis fizyczny: Bibliogr. 8 poz., Wykr.

Twórcy

autor

Kotowski A.

• Faculty of Mechanical Engineering, Bialystok University of Technology, ul. Wiejska 45C, 15$351 Bialystok, Poland,

Bibliografia

• 1. Bendat J.S., Piersol A.G. (1980), Engineering applications of correlation and spectral analysis, Wiley-Interscience, New York.
• 2. Benko U., Juričić ð. (2008), Frequency analysis of noisy short-time stationary signals using filter-diagonalization, Signal Processing, 88, 1733–1746.
• 3. Cawley P., Adams R.D. (1979), Improved frequency resolution from transient tests with short record lengths, Journal of Sound and Vibration, 64 (1), 123-132.
• 4. Dunne J.F. (2002), A fast time-domain integration method for computing non-stationary response histories of linear oscillators with discrete-time random forcing, Journal of Sound and Vibration, 254 (4), 635-676.
• 5. Kotowski A. (2010), Reading the frequency of harmonics by crosscorrelation function and its envelope, Proc. 6th Int. Conf. Mechatronic Systems and Materials.
• 6. Quinn B.G. (2009), Recent advances in rapid frequency estimation, Digital Signal Processing, 19, 942-948.
• 7. Thrane N. (1984), The Hilbert Transform, Technical Review, 3, Brüel&Kjær, Naerum, Denmark.
• 8. Thrane N., Wismer J., Konstantin-Hansen H., Gade S. (1999), Practical use of the “Hilbert transform”, Application Note, 0437, Brüel&Kjær, Naerum, Denmark.