Generation of Very Strict Hurwitz Polynomials and Applications to 2–D Filter Design

[1]  M. Marden Geometry of Polynomials , 1970 .

[2]  Majid Ahmadi,et al.  Digital Filtering in One and Two Dimensions: Design and Applications , 1989 .

[3]  M. Swamy,et al.  Generation of two-dimensional digital functions without nonessential singularities of the second kind , 1980 .

[4]  C. M. Reeves,et al.  Function minimization by conjugate gradients , 1964, Comput. J..

[5]  Roger Fletcher,et al.  A Rapidly Convergent Descent Method for Minimization , 1963, Comput. J..

[6]  On a dissimilarity of polynomial derivatives of single- and multivariable positive real functions , 1982, Proceedings of the IEEE.

[7]  Majid Ahmadi,et al.  On the algebra of multiple bilinear transformations , 1986 .

[8]  An alternative approach in generating a 2-variable Very Strictly Hurwitz Polynomial (VSHP) and its application , 1987 .

[9]  Majid Ahmadi,et al.  Design of 2-D recursive digital filters with constant group delay characteristics using separable denominator transfer function and a new stability test , 1985, IEEE Trans. Acoust. Speech Signal Process..

[10]  M. Ahmadi,et al.  Multivariable mirror-image and anti-mirror-image polynomials obtained by bilinear transformations , 1987 .

[11]  M. N. Shanmukha Swamy,et al.  Generation of two-dimensional digital functions without non-essential singularities of the second kind , 1979, ICASSP.

[12]  H. Ansell On Certain Two-Variable Generalizations of Circuit Theory, with Applications to Networks of Transmission Lines and Lumped Reactances , 1964 .

[13]  Majid Ahmadi,et al.  Design of 2-D stable analog and recursive digital filters using properties of the derivative of even or odd Parts of Hurwitz polynomials , 1983 .

[14]  Douglas R. Goodman,et al.  Some stability properties of two-dimensional linear shift-invariant digital filters , 1977 .

[15]  T. Koga Synthesis of Finite Passive n-Ports with Prescribed Two-Variable Reactance Matrices , 1966 .

[16]  Majid Ahmadi,et al.  Direct design of recursive digital filters based on a new stability test , 1984 .

[17]  Design of Stable 2-D Recursive Filters by Generation of VSHP Using Terminated n-Port Gyrator Networks , 1983 .

[18]  S. Erfani,et al.  An explicit formula for the general bilinear transformation of polynomials with its application , 1988 .

[19]  D. Goodman,et al.  Some difficulties with the double bilinear transformation in 2-D recursive filter design , 1978, Proceedings of the IEEE.

[20]  Shahrokh H Fallah Generation of polynomials for application in the design of stable 2-dimensional filters , 1988 .

[21]  V. Ramachandran,et al.  Implementation of a stability test of 1-D discrete system based on Schussler's theorem and some consequent coefficient conditions , 1984 .

[22]  V. Ramachandran,et al.  Some properties of multivariable mirror-image and anti-mirror-image polynomials obtained by the bilinear transformations of Hurwitz polynomials , 1990 .

[23]  Louis Weinberg,et al.  Network Analysis and Synthesis , 1962 .

[24]  Mahmood R. Azimi-Sadjadi,et al.  Digital Filtering in One and Two Dimensions , 1989 .

[25]  H. M. Paynter,et al.  Inners and Stability of Dynamic Systems , 1975 .