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Utilization of conditioned higher-order spectra for nonlinear system identification

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2 Author(s)
Kim, S.B. ; Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA ; Powers, E.J.

For higher-order Volterra systems with arbitrary stationary inputs, an orthogonalization scheme based upon ordered sets of conditioned orthogonal higher-order input vectors in the frequency domain using Gram-Schmidt method is presented. A new set of nonlinear transfer functions for the conditioned orthogonal Volterra system is obtained from a coordinate transformation of a Volterra system based upon nonorthogonal higher-order input vectors. The orthogonal modes has the same minimum mean square error as the original system but without hybrid coherences, thus allowing physically meaningful interpretation of nonlinearities of systems

Published in:

Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on  (Volume:5 )

Date of Conference:

23-26 Mar 1992