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dc.contributor.authorKhoo, I. -Hungen_US
dc.contributor.authorReddy, Hari C.en_US
dc.contributor.authorRajan, P. K.en_US
dc.date.accessioned2014-12-08T15:11:59Z-
dc.date.available2014-12-08T15:11:59Z-
dc.date.issued2011-03-01en_US
dc.identifier.issn0923-6082en_US
dc.identifier.urihttp://dx.doi.org/10.1007/s11045-010-0133-0en_US
dc.identifier.urihttp://hdl.handle.net/11536/9198-
dc.description.abstractThe complexity in the design and implementation of 2-D filters can be reduced considerably if the symmetries that might be present in the frequency responses of these filters are utilized. As the delta operator (gamma-domain) formulation of digital filters offers better numerical accuracy and lower coefficient sensitivity in narrow-band filter designs when compared to the traditional shift-operator formulation, it is desirable to have efficient design and implementation techniques in gamma-domain which utilize the various symmetries in the filter specifications. Furthermore, with the delta operator formulation, the discrete-time systems and results converge to their continuous-time counterparts as the sampling periods tend to zero. So a unifying theory can be established for both discrete- and continuous-time systems using the delta operator approach. With these motivations, we comprehensively establish the unifying symmetry theory for delta-operator formulated discrete-time complex-coefficient 2-D polynomials and functions, arising out of the many types of symmetries in their magnitude responses. The derived symmetry results merge with the s-domain results when the sampling periods tend to zero, and are more general than the real-coefficient results presented earlier. An example is provided to illustrate the use of the symmetry constraints in the design of a 2-D IIR filter with complex coefficients. For the narrow-band filter in the example, it can be seen that the gamma-domain transfer function possesses better sensitivity to coefficient rounding than the z-domain counterpart.en_US
dc.language.isoen_USen_US
dc.subject2-D filtersen_US
dc.subjectSymmetryen_US
dc.subjectDelta operatoren_US
dc.titleUnified theory of symmetry for two-dimensional complex polynomials using delta discrete-time operatoren_US
dc.typeArticleen_US
dc.identifier.doi10.1007/s11045-010-0133-0en_US
dc.identifier.journalMULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSINGen_US
dc.citation.volume22en_US
dc.citation.issue1-3en_US
dc.citation.spage147en_US
dc.citation.epage172en_US
dc.contributor.department資訊學院zh_TW
dc.contributor.departmentCollege of Computer Scienceen_US
dc.identifier.wosnumberWOS:000286665800010-
dc.citation.woscount0-
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