{"title":"A property of Jacobian matrices and some of its consequences","authors":"A. Fettweis, N. Bose","doi":"10.1109/ISCAS.2002.1010231","DOIUrl":null,"url":null,"abstract":"It is proved that the multidimensional differential operator is an annihilator of the adjoint matrix associated with a Jacobian matrix. Some of the consequences of this result for other distinguished matrices are pointed out and its relevance in the derivation of a multidimensional wave digital filter structure from a passive multidimensional Kirchhoff network is confirmed.","PeriodicalId":203750,"journal":{"name":"2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353)","volume":"50 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISCAS.2002.1010231","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
It is proved that the multidimensional differential operator is an annihilator of the adjoint matrix associated with a Jacobian matrix. Some of the consequences of this result for other distinguished matrices are pointed out and its relevance in the derivation of a multidimensional wave digital filter structure from a passive multidimensional Kirchhoff network is confirmed.
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