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Article: 2-D filter stability tests using polynomial array
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Title 2-D filter stability tests using polynomial array Hu, Xiheng1Ng, TS1 1990 Ieee Transactions On Circuits And Systems, 1990, v. 37 n. 4, p. 550-554 [How to Cite?]DOI: http://dx.doi.org/10.1109/31.52760 A stability table in which F(x, z) = Σaj(x)zj, for y = 0 to n, where aj(x) are real polynomials of order n1, called a polynomial array, is presented, and a systematic procedure for constructing its entries is given. The polynomial array is then used to test the stability of 2-D filters. This is accomplished by first forming a polynomial with real coefficients from the 2-D filter characteristic polynomial F(z1, z2), followed by constructing the polynomial array and then applying the appropriate stability test. This procedure is proved to be equivalent to testing (F(z1, z2) directly. A number of examples are given to illustrate the proposed methodology. 0098-4094 http://dx.doi.org/10.1109/31.52760 WOS:A1990DF72400014
DC FieldValue
dc.contributor.authorHu, Xiheng

dc.contributor.authorNg, TS

dc.date.accessioned2012-08-08T08:31:07Z

dc.date.available2012-08-08T08:31:07Z

dc.date.issued1990

dc.description.abstractA stability table in which F(x, z) = Σaj(x)zj, for y = 0 to n, where aj(x) are real polynomials of order n1, called a polynomial array, is presented, and a systematic procedure for constructing its entries is given. The polynomial array is then used to test the stability of 2-D filters. This is accomplished by first forming a polynomial with real coefficients from the 2-D filter characteristic polynomial F(z1, z2), followed by constructing the polynomial array and then applying the appropriate stability test. This procedure is proved to be equivalent to testing (F(z1, z2) directly. A number of examples are given to illustrate the proposed methodology.

dc.identifier.citationIeee Transactions On Circuits And Systems, 1990, v. 37 n. 4, p. 550-554 [How to Cite?]
DOI: http://dx.doi.org/10.1109/31.52760

dc.identifier.doihttp://dx.doi.org/10.1109/31.52760

dc.identifier.epage554

dc.identifier.isiWOS:A1990DF72400014

dc.identifier.issn0098-4094

dc.identifier.issue4

dc.identifier.scopuseid_2-s2.0-0025416556

dc.identifier.spage550

dc.identifier.urihttp://hdl.handle.net/10722/154909

dc.identifier.volume37

dc.languageeng

dc.relation.ispartofIEEE Transactions on Circuits and Systems

dc.title2-D filter stability tests using polynomial array

dc.typeArticle

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<contributor.author>Ng, TS</contributor.author>
<date.accessioned>2012-08-08T08:31:07Z</date.accessioned>
<date.available>2012-08-08T08:31:07Z</date.available>
<date.issued>1990</date.issued>
<identifier.citation>Ieee Transactions On Circuits And Systems, 1990, v. 37 n. 4, p. 550-554</identifier.citation>
<identifier.issn>0098-4094</identifier.issn>
<identifier.uri>http://hdl.handle.net/10722/154909</identifier.uri>
<description.abstract>A stability table in which F(x, z) = &#931;aj(x)zj, for y = 0 to n, where aj(x) are real polynomials of order n1, called a polynomial array, is presented, and a systematic procedure for constructing its entries is given. The polynomial array is then used to test the stability of 2-D filters. This is accomplished by first forming a polynomial with real coefficients from the 2-D filter characteristic polynomial F(z1, z2), followed by constructing the polynomial array and then applying the appropriate stability test. This procedure is proved to be equivalent to testing (F(z1, z2) directly. A number of examples are given to illustrate the proposed methodology.</description.abstract>
<language>eng</language>
<relation.ispartof>IEEE Transactions on Circuits and Systems</relation.ispartof>
<title>2-D filter stability tests using polynomial array</title>
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