Abstract
The symmetry properties of 2-D complex polynomials are analyzed in this paper. The characteristics of a polynomial possessing different standard symmetries in their magnitude and phase responses are studied. The nature of constraints that are imposed by the defined symmetries on analog and digital polynomials is discussed. The various classes of complex polynomials possessing the different (quadrantal, diagonal, rotational, and octagonal) symmetries and antisymmetries in their magnitude responses and/or phase responses are tabulated.
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The work reported here was supported by the Center for Manufacturing Research and Technology Utilization, Tennessee Technological University, Cookeville, Tennessee 38505.
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Rajaravivarma, V., Rajan, P.K. & Reddy, H.C. Symmetry study on 2-D complex analog and digital filter functions. Multidim Syst Sign Process 2, 161–187 (1991). https://doi.org/10.1007/BF01938222
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DOI: https://doi.org/10.1007/BF01938222