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Non-minimum phase identification based on higher order spectrum slices: The PEP method family

Abstract : A new family of methods, named PEP (Phase Estimation using Polyspectrum slices), for the reconstruction of the Fourier phase of a complex LTI system excited by a white non-Gaussian input is proposed. More precisely, we propose two subfamilies of methods, the q-PEP (q>2) and (q1, q2)-PEP (q2>q1>2) algorithms. The q-PEP methods exploit the best Two-Dimensional (2D) slice of the data q-th order spectrum. The originality of the (q1, q2)-PEP methods consists of exploiting simultaneously one 1D slice of the q1-th order spectrum and one 2D slice of the q2-th order spectrum. These new algorithms are easy both to implement and to use. Moreover, the asymptotic unbiasedness and consistency of these methods are demonstrated. Eventually, computer simulations show that the PEP algorithms exhibit in general better performances than classical methods especially for band-limited systems.
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https://www.hal.inserm.fr/inserm-00266346
Contributor : Laurent Albera <>
Submitted on : Friday, June 6, 2008 - 2:18:21 PM
Last modification on : Wednesday, May 16, 2018 - 11:23:08 AM
Long-term archiving on: : Friday, May 21, 2010 - 12:47:31 AM

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Amar Kachenoura, Laurent Albera, Jean-Jacques Bellanger, Lotfi Senhadji. Non-minimum phase identification based on higher order spectrum slices: The PEP method family. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2008, 56 (5), pp.1821-1829. ⟨10.1109/TSP.2007.911287⟩. ⟨inserm-00266346⟩

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