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

Mitrou, NM; Stassinopoulos, GI; Protonotarios, EN

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