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

  • Authors:

  • L. Gelman;I. Petrunin

  • Affiliations:

  • School of Engineering, Cranfield University, Cranfield, UK MK43 0AL;School of Engineering, Cranfield University, Cranfield, UK MK43 0AL

  • Venue:
  • Multidimensional Systems and Signal Processing
  • Year:
  • 2007

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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.