Gelman, LeonidPetrunin, Ivan2011-11-052011-11-052007-12-01L. 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 317-3250923-6082http://dx.doi.org/10.1007/s11045-006-0005-9http://dspace.lib.cranfield.ac.uk/handle/1826/4387A 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.en-UKMultidimensional transformMulti-frequencySpectral analysisHigh order spectraChirp-Fourier transformArticle