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System reconstruction from higher order spectra slices

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2 Author(s)
A. P. Petropulu ; Dept. of Electr. & Comput. Eng., Drexel Univ., Philadelphia, PA, USA ; U. R. Abeyratne

We consider the problem of system reconstruction from higher order spectra (HOS) slices. We establish that the impulse response of a complex system can be reconstructed up to a scalar and a shift based on any pair of HOS slices, as long as the distance between the two slices satisfies a certain condition. One slice is sufficient for the reconstruction in the case of a real system. We propose a cepstrum-based method for system reconstruction. We also propose a new method for the reconstruction of the system Fourier phase based on the phase of any odd-indexed bispectrum slice. Being able to choose the slices to be used in the reconstruction allows us to avoid bispectrum regions dominated by noise

Published in:

IEEE Transactions on Signal Processing  (Volume:45 ,  Issue: 9 )