{"title":"状态空间数字滤波器的另一种灵敏度","authors":"Chengshan Xiao","doi":"10.1109/APCCAS.1994.514553","DOIUrl":null,"url":null,"abstract":"In this paper, a new sensitivity measure for state-space digital filters is proposed. The new measure is a modified form of Tavsanoglu and Thiele's measure, but the new one has three advantages: (1) it is more precise than Tavsanoglu and Thiele's measure when the state-space realizations of a digital filter contain 0 and /spl plusmn/1 coefficients; (2) it can be used to explain why the sparse Schur and Hessenberg realizations will give a better actual sensitivity performance than the corresponding fully parametrized optimal realizations; (3) it is equal to the global roundoff noise gain G=tr(QW)+/spl gamma/ obtained by Hwang under the dynamic constraint.","PeriodicalId":231368,"journal":{"name":"Proceedings of APCCAS'94 - 1994 Asia Pacific Conference on Circuits and Systems","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An alternative sensitivity for state-space digital filters\",\"authors\":\"Chengshan Xiao\",\"doi\":\"10.1109/APCCAS.1994.514553\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a new sensitivity measure for state-space digital filters is proposed. The new measure is a modified form of Tavsanoglu and Thiele's measure, but the new one has three advantages: (1) it is more precise than Tavsanoglu and Thiele's measure when the state-space realizations of a digital filter contain 0 and /spl plusmn/1 coefficients; (2) it can be used to explain why the sparse Schur and Hessenberg realizations will give a better actual sensitivity performance than the corresponding fully parametrized optimal realizations; (3) it is equal to the global roundoff noise gain G=tr(QW)+/spl gamma/ obtained by Hwang under the dynamic constraint.\",\"PeriodicalId\":231368,\"journal\":{\"name\":\"Proceedings of APCCAS'94 - 1994 Asia Pacific Conference on Circuits and Systems\",\"volume\":\"42 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-12-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of APCCAS'94 - 1994 Asia Pacific Conference on Circuits and Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/APCCAS.1994.514553\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of APCCAS'94 - 1994 Asia Pacific Conference on Circuits and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APCCAS.1994.514553","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An alternative sensitivity for state-space digital filters
In this paper, a new sensitivity measure for state-space digital filters is proposed. The new measure is a modified form of Tavsanoglu and Thiele's measure, but the new one has three advantages: (1) it is more precise than Tavsanoglu and Thiele's measure when the state-space realizations of a digital filter contain 0 and /spl plusmn/1 coefficients; (2) it can be used to explain why the sparse Schur and Hessenberg realizations will give a better actual sensitivity performance than the corresponding fully parametrized optimal realizations; (3) it is equal to the global roundoff noise gain G=tr(QW)+/spl gamma/ obtained by Hwang under the dynamic constraint.
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