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Tensor Product Basis Approximations for Volterra Filters  (Make Corrections)  (10 citations)
Robert D. Nowak, Student Member, IEEE, Barry D. Van Veen, Member, IEEE,...



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Abstract: This paper studies approximations for a class of nonlinear filters known as Volterra filters. Although the Volterra filter provides a relatively simple and general representation for nonlinear filtering, often it is highly over-parameterized. Due to the large number of parameters, the utility of the Volterra filter is limited. The over-parameterization problem is addressed in this paper using a tensor product basis approximation (TPBA). In many cases a Volterra filter may be well approximated... (Update)

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BibTeX entry:   (Update)

@misc{ student-tensor,
  author = "Robert Nowak Student",
  title = "Tensor Product Basis Approximations for Volterra Filters",
  url = "citeseer.ist.psu.edu/nowak96tensor.html" }
Citations (may not include all citations):
95   Kronecker products and matrix calculus in system theory (context) - Brewer - 1978
51   Prolate spheroidal wave functions, Fourier analysis, and unc.. (context) - Slepian - 1978
41   The approximation of one matrix by another of lower rank (context) - Eckart, Young - 1936
31   Adaptive polynomial filters (context) - Mathews - 1991
25   Nonlinear Problems in Random Theory (context) - Wiener - 1958
14   Second-order Volterra filtering and its application to nonli.. (context) - Koh, Powers - 1995
13   Optimal linear-quadratic systems for detection and estima29 .. (context) - Picinbono, Duvaut - 1988
11   Symmetric gauge functions and unitarily invariant norms (context) - Mirsky - 1960
8   Orthogonal approaches to time-series analysis and system ide.. (context) - Korenberg - 1991
6   Polynomial estimation of the amplitude of a signal (context) - Bondon - 1994
5   Identification of nonlinear biological systems using Laguerr.. (context) - Marmarelis - 1993
4   Volterra filter approximatations (context) - Nowak, Van Veen
4   Volterra filter approximatations (context) - Nowak, Van Veen - 1995
4   Quadratic-linear filters for signal detection (context) - Taft - 1991
3   Structure identification of block-oriented models based on t.. (context) - Haber - 1989

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