Proceedings ArticleDOI
Design technique for a class of stable two-dimensional recursive digital filters
M. Ahmadi,Anthony G. Constantinides,R. King +2 more
- Vol. 1, pp 145-147
TLDR
A technique is presented for the design of stable two-dimensional recursive digital filters, where the stability of the resulting filters is guaranteed, and hence repeated application of cumbersome stability tests is obviated.Abstract:
A technique is presented for the design of stable two-dimensional recursive digital filters. The stability of the resulting filters is guaranteed, and hence repeated application of cumbersome stability tests is obviated. The transfer function of the filter is obtained from a one-dimensional prototype by applying a new transformation technique in the frequency domain. To illustrate the approach some design examples of low-pass filters are given.read more
Citations
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Journal ArticleDOI
A unified approach for the design of 2-D digital filters via semidefinite programming
TL;DR: In this paper, a modem optimization methodology known as semidefinite programming (SDP) can serve as the algorithmic core of a unified design tool for a variety of two-dimensional (2D) digital filters.
Journal ArticleDOI
Optimal design of IIR digital filters with robust stability using conic-quadratic-programming updates
Wu-Sheng Lu,Takao Hinamoto +1 more
TL;DR: In this paper, minimax design of infinite-impulse-response (IIR) filters with prescribed stability margin is formulated as a conic quadratic programming (CQP) problem and extended to quadrantally symmetric two-dimensional digital filters.
Book ChapterDOI
Design of two-dimensional FIR digital filters by using the singular-value decomposition
TL;DR: It is shown that the realization based on combined SV and LU decomposition leads to the lowest approximation error and involves the smallest number of multiplications.
Journal ArticleDOI
Generation of two-dimensional digital functions without nonessential singularities of the second kind
TL;DR: Very strict Hurwitz polynomials (VSHP's) as discussed by the authors are a class of two-variable Hurwitz Polynomial transformations that are suitable for transfer functions without nonessential singularities of the second kind.
Journal ArticleDOI
Design of two-dimensional zero phase FIR fan filters via the McClellan transform
TL;DR: In this article, a method for the design of 2D zero-phase FIR fan filters with quadrantal symmetry using the McClellan transform was proposed, where conditions that the coefficients of the transform must satisfy in order to avoid the scaling of the transformation were given.
References
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Journal ArticleDOI
Stability and synthesis of two-dimensional recursive filters
J. Shanks,S. Treitel,J. Justice +2 more
TL;DR: Two-dimensional recursive bandpass filters as mentioned in this paper can be synthesized to approximate large varieties of desired two-dimensional pulse responses by a conformal transformation of the one-dimensional filters.
Journal ArticleDOI
Positive Real Functions of Several Variables and Their Applications to Variable Networks
TL;DR: In this paper, the concepts of multivariable positive real function, multiivariable reactance function, and multivariably positive real matrix are introduced, and it is shown that these concepts are useful for dealing with a wide class of variable parameter networks.
Journal ArticleDOI
Stability criterion for recursive filters
TL;DR: A new criterion is derived that relates the stability of two-dimensional recursive filters to the properties of its cepstrum, and provides a procedure for the decomposition of unstable recursive filters having nonzero, nonimaginary frequency response into stable recursive filters.
Journal ArticleDOI
Synthesis of Finite Passive n-Ports with Prescribed Two-Variable Reactance Matrices
TL;DR: The problem of synthesizing two-variable reactance functions and matrices, symmetric or nonsymmetric, has not been solved so far even for twovariable reactance function except for the case where the functions are prescribed as bilinear functions of one of the two variables as mentioned in this paper.
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