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Design of multistage separable two-dimensional digital filters with frequency domain specifications

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dc.contributor.author Mitrou, NM en
dc.contributor.author Stassinopoulos, GI en
dc.contributor.author Protonotarios, EN en
dc.date.accessioned 2014-03-01T01:39:12Z
dc.date.available 2014-03-01T01:39:12Z
dc.date.issued 1987 en
dc.identifier.issn 01651684 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/22611
dc.subject 2-D frequency response en
dc.subject array en
dc.subject decomposition into separable terms en
dc.subject directional filter en
dc.subject fan filter en
dc.subject.other MATHEMATICAL TECHNIQUES - Approximation Theory en
dc.subject.other CONTINUOUS FREQUENCY DOMAIN en
dc.subject.other EIGENVALUE en
dc.subject.other PIECEWISE LINEAR APPROXIMATION en
dc.subject.other SEPARABLE DECOMPOSITION en
dc.subject.other TWO-DIMENSIONAL DIGITAL FILTERS en
dc.subject.other ELECTRIC FILTERS, DIGITAL en
dc.title Design of multistage separable two-dimensional digital filters with frequency domain specifications en
heal.type journalArticle en
heal.identifier.primary 0165-1684(87)90006-5 en
heal.identifier.secondary http://dx.doi.org/0165-1684(87)90006-5 en
heal.publicationDate 1987 en
heal.abstract The separable decomposition method for 2-D filter design is examined in the continuous frequency domain. In the general case, improved accuracy and better insight can be obtained in comparison with the discrete counterparts as examined in the literature. Substantial simplifications both for the off-line computational load and the subsequent implementation are possible for frequency response functions being constant on their effective domain. This is achieved through a piecewise linear approximation of the domain boundary which reduces the original eigenvalue problem for operators with 2-D kernel into a solution of decoupled simple boundary-value problems in each direction. The latter are solvable through a simple Newton-Raphson procedure combined with a shooting method. This results into 1-D constituent filters with piecewise sinusoidal frequency responses. Completely analytical results are obtained for fan and directional filter design. Error estimates are given and examples illustrate the applicability of the results. © 1987. en
heal.journalName Signal Processing en
dc.identifier.doi 0165-1684(87)90006-5 en
dc.identifier.volume 12 en
dc.identifier.issue 2 en
dc.identifier.spage 191 en
dc.identifier.epage 210 en


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