{"title":"新RNS-To-Binary转换器Three-Moduli设置$ \\ {2 ^ {n + 1} 1 \\ 2 ^ {n} 1 \\ 2 ^ {n + k} \\} $","authors":"P. S. Phalguna, D. Kamat, P. A. Ananda Mohan","doi":"10.1109/DISCOVER47552.2019.9007938","DOIUrl":null,"url":null,"abstract":"This paper presents three reverse converters one using Mixed Radix Conversion (MRC) and other two based on Chinese Remainder Theorem (CRT) for three-moduli set $\\{2^{n+1}-1,\\ 2^{n}-1,\\ 2^{n+k}\\}$ which is an extension of a previously investigated three-moduli set $\\{2^{n+1}-1,\\ 2^{n},\\ 2^{n}-1\\}$. The proposed converters are compared with reverse converters for three-moduli sets reported in literature regarding hardware requirement and conversion time for obtaining desired dynamic range.","PeriodicalId":274260,"journal":{"name":"2019 IEEE International Conference on Distributed Computing, VLSI, Electrical Circuits and Robotics (DISCOVER)","volume":"186 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New RNS-To-Binary Converters for Three-Moduli Set $\\\\{2^{n+1}-1,\\\\ 2^{n}-1,\\\\ 2^{n+k}\\\\}$\",\"authors\":\"P. S. Phalguna, D. Kamat, P. A. Ananda Mohan\",\"doi\":\"10.1109/DISCOVER47552.2019.9007938\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents three reverse converters one using Mixed Radix Conversion (MRC) and other two based on Chinese Remainder Theorem (CRT) for three-moduli set $\\\\{2^{n+1}-1,\\\\ 2^{n}-1,\\\\ 2^{n+k}\\\\}$ which is an extension of a previously investigated three-moduli set $\\\\{2^{n+1}-1,\\\\ 2^{n},\\\\ 2^{n}-1\\\\}$. The proposed converters are compared with reverse converters for three-moduli sets reported in literature regarding hardware requirement and conversion time for obtaining desired dynamic range.\",\"PeriodicalId\":274260,\"journal\":{\"name\":\"2019 IEEE International Conference on Distributed Computing, VLSI, Electrical Circuits and Robotics (DISCOVER)\",\"volume\":\"186 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 IEEE International Conference on Distributed Computing, VLSI, Electrical Circuits and Robotics (DISCOVER)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DISCOVER47552.2019.9007938\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 IEEE International Conference on Distributed Computing, VLSI, Electrical Circuits and Robotics (DISCOVER)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DISCOVER47552.2019.9007938","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New RNS-To-Binary Converters for Three-Moduli Set $\{2^{n+1}-1,\ 2^{n}-1,\ 2^{n+k}\}$
This paper presents three reverse converters one using Mixed Radix Conversion (MRC) and other two based on Chinese Remainder Theorem (CRT) for three-moduli set $\{2^{n+1}-1,\ 2^{n}-1,\ 2^{n+k}\}$ which is an extension of a previously investigated three-moduli set $\{2^{n+1}-1,\ 2^{n},\ 2^{n}-1\}$. The proposed converters are compared with reverse converters for three-moduli sets reported in literature regarding hardware requirement and conversion time for obtaining desired dynamic range.