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Volume 17 Issue 6
Nov.  1995
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Xiao Yang. COMPLEX COEFFICIENTS TABLE TEST FOR TWO-DIMENSIONAL DISCRETE HURWITZ POLYNOMIALS[J]. Journal of Electronics & Information Technology, 1995, 17(6): 613-617.
Citation: Xiao Yang. COMPLEX COEFFICIENTS TABLE TEST FOR TWO-DIMENSIONAL DISCRETE HURWITZ POLYNOMIALS[J]. Journal of Electronics & Information Technology, 1995, 17(6): 613-617.

COMPLEX COEFFICIENTS TABLE TEST FOR TWO-DIMENSIONAL DISCRETE HURWITZ POLYNOMIALS

  • Received Date: 1994-02-24
  • Rev Recd Date: 1994-07-20
  • Publish Date: 1995-11-19
  • The test theorem of 2-D discrete Hurwitz polynomials is proposed. Different from the algebraic methods for the polynomials, the approach of this paper is to list table for complex variable coefficients directly, then to test zero existence for the polynomials with the theorem of this paper. The test proceedure is greatly simplified, and reduces the computations, for it need not to test all x in real domain [-1, 1] point by point and will not meet the rational polynomials. To determine whether they are 2-D discrete Hurwitz polynomialsneeds only finite computations.
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  • Dudgeon D E, Merseresu R M. Multidimensional Digital Signal Processing. New Jeraey: Prentice Hall, 1984, Chapter 4.[2]Huang T S, et al. Two-Dimensional Digital Signal Processing-I: Linear Filters. Berlin: Springer-Verlag, 1981, Chapter 4.[3]Anderson B D O, Jury E I. IEEE Trans. on[4]Audio Electroacoust. 1973, AE-21(4):366-372.[5]Jury E I. IEEE Trans. on CAS, 1988, CAS-35(1): 116-119.[6]Jury E I. IEEE Trans. on CAS, 1991, CAS-38(2): 221-223.[7]Karaa B M, Srivastava M C. IEEE Trans, on CAS, 1986, CAS-33(8); 807-809.[8]Xiheng Hu, Ng T S. IEEE Trans, on CAS, I990, CAS-37(4): 550-555.[9]Xiheng Hu, Hansen Yee. IEEE Trans. on CAS, 1992, CAS-40(6): 1579-1581.[10]Xiao Yang. New Seahility Test Theorems for Two-Dimensional IIR Digital Filter:Proc. of IEEE TENCON93, Beijing: Oct. 1993, 594 -597.[11]LaSalle J P. The Stability and Control of Discrete Processes, New York: Springer-Verlag, Inc. 1986, Chapter 5.
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