Nonlinear System Identification Using Deterministic Multilevel Sequences
نویسندگان
چکیده
Abstract: A new exact method of measuring the Volterra kernels of finite order discrete nonlinear systems is presented. The kernels are rearranged in terms of multivariate crossproducts in the vector form. The one-, two-, . . . , and `-dimensional kernel vectors are determined using a deterministic multilevel sequence with ` distinct levels at the input of the system. It is shown that the defined multilevel sequence with ` distinct levels is persistently exciting for a truncated Volterra filter with nonlinearities of polynomial degree `. Examples demonstrating the rearrangement of the Volterra kernels and the novel method for estimation of the kernels are presented. Simulation results are given to illustrate the effectiveness of the proposed method.
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