论文信息 - On 2-D partial fraction decomposition

On 2-D partial fraction decomposition

Abstract In this paper we introduce a mapping technique of two-dimensional (2-D) auto correlation sequences to one dimensional (1-D) auto correlation sequences and obtain certain results useful in the test for existence of the decomposition of the form A(Z 1 ,Z 2 )A(Z 1 −1 ) B(Z 1 ,Z 2 )B(Z 1 −1 ) = P(Z 1 ,Z 2 ) B(Z 1 ,Z 2 ) + P(Z 1 −1 ) B(Z 1 −1 ) for a stable 2-D transfer function of a recursive digital filter defined by H(Z 1 ,Z 2 )= A(Z 1 ,Z 2 ) B(Z 1 ,Z 2 ) These results are simple alternative to that reported in the literature [7] earlier.

P. S. Reddy | H. Murthy | P. Reddy | H.S.N. Murthy

[1] M.N.S. Swamy,et al. A simple method to test the existence of 2-D partial fraction decomposition , 1984 .

[2] Panajotis Agathoklis,et al. A note on the 2-D partial fraction expansion , 1980 .

[3] S. Hwang. Computation of correlation sequences in two-dimensional digital filters , 1981 .

[4] M.N.S. Swamy,et al. Proof of a modified form of Shank's conjecture on the stability of 2-D planar least square inverse polynomials and its implications , 1984 .

[5] Sheng Hwang,et al. Solution of complex integrals using the Laurent expansion , 1978 .

[6] T. Huang,et al. Stability of general two-dimensional recursive digital filters , 1978 .

[7] A. A. Beex,et al. Generating covariance sequences and the calculation of quantization and rounding error variances in digital filters , 1980 .

[8] M. Swamy,et al. Comment on "A note on the partial fraction expansion , 1982 .

[9] Jake K. Aggarwal,et al. Two-Dimensional Digital Filtering and its Error Analysis , 1974, IEEE Transactions on Computers.

[10] R. Mersereau,et al. The representation of two-dimensional sequences as one-dimensional sequences , 1974 .