Symmetry constraints on two-dimensional half-plane digital transfer functions

作者: P. Rajan , M. Swamy

DOI: 10.1109/TASSP.1979.1163279

关键词: 2D FiltersPlane (geometry)Symmetry (geometry)Frequency responseMathematicsMagnitude (mathematics)Transfer functionDiagonalMathematical analysis

摘要: Constraints on two-dimensional half-plane digital transfer functions are developed so that the magnitude responses of these possess a specified symmetry (quadrantal symmetry, about diagonals, or octagonal symmetry). The application constraints in design filters is indicated.

参考文章(5)
P. Karivaratharajan, M. Swamy, Quadrantal symmetry associated with two-dimensional digital transfer functions IEEE Transactions on Circuits and Systems. ,vol. 25, pp. 340- 343 ,(1978) , 10.1109/TCS.1978.1084486
P. Karivaratharajan, M.N.S. Swamy, Some results on the nature of a 2-dimensional filter function possessing certain symmetry in its magnitude response Iee Journal on Electronic Circuits and Systems. ,vol. 2, pp. 147- 153 ,(1978) , 10.1049/IJ-ECS.1978.0029
M. Ekstrom, J. Woods, Two-dimensional spectral factorization with applications in recursive digital filtering IEEE Transactions on Acoustics, Speech, and Signal Processing. ,vol. 24, pp. 115- 128 ,(1976) , 10.1109/TASSP.1976.1162785
M. Ekstrom, R. Twogood, J. Woods, Design of stable 2-D half-plane recursive filters using spectral factorization ICASSP '78. IEEE International Conference on Acoustics, Speech, and Signal Processing. ,vol. 3, pp. 761- 764 ,(1978) , 10.1109/ICASSP.1978.1170455
Gilbert Ames Bliss, Algebraic functions ,(1933)