{"title":"使用行列式决策图的大型模拟电路的可解释符号小信号特性","authors":"S. Tan, C. Shi","doi":"10.1145/307418.307543","DOIUrl":null,"url":null,"abstract":"A new approach is proposed to generate interpretable symbolic expressions of small-signal characteristics for large analog circuits. The approach is based on a complete, exact, yet compact representation of symbolic expressions via determinant decision diagrams (DDDs). We show that two key tasks of generating interpretable symbolic expressions-term de-cancellation and term simplification-can be performed in linear time in terms of the number of DDD vertices. With the number of DDD vertices many-orders-of-magnitude less than the number of product terms, the proposed approach has been shown to be much more efficient than other start-of-the-art approaches.","PeriodicalId":442382,"journal":{"name":"Design, Automation and Test in Europe Conference and Exhibition, 1999. Proceedings (Cat. No. PR00078)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Interpretable symbolic small-signal characterization of large analog circuits using determinant decision diagrams\",\"authors\":\"S. Tan, C. Shi\",\"doi\":\"10.1145/307418.307543\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new approach is proposed to generate interpretable symbolic expressions of small-signal characteristics for large analog circuits. The approach is based on a complete, exact, yet compact representation of symbolic expressions via determinant decision diagrams (DDDs). We show that two key tasks of generating interpretable symbolic expressions-term de-cancellation and term simplification-can be performed in linear time in terms of the number of DDD vertices. With the number of DDD vertices many-orders-of-magnitude less than the number of product terms, the proposed approach has been shown to be much more efficient than other start-of-the-art approaches.\",\"PeriodicalId\":442382,\"journal\":{\"name\":\"Design, Automation and Test in Europe Conference and Exhibition, 1999. Proceedings (Cat. No. PR00078)\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Design, Automation and Test in Europe Conference and Exhibition, 1999. Proceedings (Cat. No. PR00078)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/307418.307543\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Design, Automation and Test in Europe Conference and Exhibition, 1999. Proceedings (Cat. No. PR00078)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/307418.307543","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Interpretable symbolic small-signal characterization of large analog circuits using determinant decision diagrams
A new approach is proposed to generate interpretable symbolic expressions of small-signal characteristics for large analog circuits. The approach is based on a complete, exact, yet compact representation of symbolic expressions via determinant decision diagrams (DDDs). We show that two key tasks of generating interpretable symbolic expressions-term de-cancellation and term simplification-can be performed in linear time in terms of the number of DDD vertices. With the number of DDD vertices many-orders-of-magnitude less than the number of product terms, the proposed approach has been shown to be much more efficient than other start-of-the-art approaches.