The new multidimensional time/multi-frequency transform for higher order spectral analysis

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Gelman, Leonid
Petrunin, Ivan

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0923-6082

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L. Gelman and I. Petrunin, The new multidimensional time/multi-frequency transform for higher order spectral analysis, Multidimensional Systems and Signal Processing, Volume 18, Number 4, December 2007, Pages 317-325

Abstract

A new multidimensional time/multi-frequency higher order spectral(HOS) transform is proposed for transient signals with nonlinear polynomial variation of instantaneous frequency: the short time higher order chirp spectra (HOCS) based on the higher order chirp-Fourier transform and time-domain windowing technique. The proposed transform is compared with the classical multi-frequency HOS based on the Fourier transform. It is shown that the proposed transform is more effective for processing of transient processes in comparison with the classical transform.

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Multidimensional transform, Multi-frequency, Spectral analysis, High order spectra, Chirp-Fourier transform

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