{"title":"二维可分分母数字系统的二维加权脉冲响应谱和模型约简","authors":"Chengshan Xiao","doi":"10.1109/SECON.1995.513115","DOIUrl":null,"url":null,"abstract":"The weighted impulse response Gramians of two-dimensional (2-D) separable denominator digital systems are defined based on the definition proposed by Sreeram and Agathoklis (1991, 1993) for the 1-D case. These Gramians are then applied to present a model reduction method for such 2-D systems. The reduced-order system is always stable if the original 2-D system is stable. A numerical example is illustrated and compared with well known 2-D model reduction method.","PeriodicalId":334874,"journal":{"name":"Proceedings IEEE Southeastcon '95. Visualize the Future","volume":"101 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"2-D weighted impulse response Gramians and model reduction of 2-D separable denominator digital systems\",\"authors\":\"Chengshan Xiao\",\"doi\":\"10.1109/SECON.1995.513115\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The weighted impulse response Gramians of two-dimensional (2-D) separable denominator digital systems are defined based on the definition proposed by Sreeram and Agathoklis (1991, 1993) for the 1-D case. These Gramians are then applied to present a model reduction method for such 2-D systems. The reduced-order system is always stable if the original 2-D system is stable. A numerical example is illustrated and compared with well known 2-D model reduction method.\",\"PeriodicalId\":334874,\"journal\":{\"name\":\"Proceedings IEEE Southeastcon '95. Visualize the Future\",\"volume\":\"101 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-03-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings IEEE Southeastcon '95. Visualize the Future\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SECON.1995.513115\",\"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 IEEE Southeastcon '95. Visualize the Future","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SECON.1995.513115","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
2-D weighted impulse response Gramians and model reduction of 2-D separable denominator digital systems
The weighted impulse response Gramians of two-dimensional (2-D) separable denominator digital systems are defined based on the definition proposed by Sreeram and Agathoklis (1991, 1993) for the 1-D case. These Gramians are then applied to present a model reduction method for such 2-D systems. The reduced-order system is always stable if the original 2-D system is stable. A numerical example is illustrated and compared with well known 2-D model reduction method.