{"title":"基于算法的容错线性代数模型","authors":"C. J. Anfinson, F. Luk","doi":"10.1109/ARRAYS.1988.18085","DOIUrl":null,"url":null,"abstract":"Algorithm-based fault tolerance provides a means of low-cost error protection in real-time signal-processing environments. A novel linear algebraic interpretation is developed for previously proposed algorithm-based fault-tolerance schemes. The concepts of distance, code space, and the definitions of detection and correction in the vector space R/sup n/ are clarified. Error detection and error correction performances are proved for distance-d+1 codes. It is shown why the correction scheme does not work for general weight vectors, and a novel fast-correction algorithm is derived for a distance-5 code.<<ETX>>","PeriodicalId":339807,"journal":{"name":"[1988] Proceedings. International Conference on Systolic Arrays","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"A linear algebraic model of algorithmic-based fault tolerance\",\"authors\":\"C. J. Anfinson, F. Luk\",\"doi\":\"10.1109/ARRAYS.1988.18085\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Algorithm-based fault tolerance provides a means of low-cost error protection in real-time signal-processing environments. A novel linear algebraic interpretation is developed for previously proposed algorithm-based fault-tolerance schemes. The concepts of distance, code space, and the definitions of detection and correction in the vector space R/sup n/ are clarified. Error detection and error correction performances are proved for distance-d+1 codes. It is shown why the correction scheme does not work for general weight vectors, and a novel fast-correction algorithm is derived for a distance-5 code.<<ETX>>\",\"PeriodicalId\":339807,\"journal\":{\"name\":\"[1988] Proceedings. International Conference on Systolic Arrays\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1988] Proceedings. International Conference on Systolic Arrays\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ARRAYS.1988.18085\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1988] Proceedings. International Conference on Systolic Arrays","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARRAYS.1988.18085","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A linear algebraic model of algorithmic-based fault tolerance
Algorithm-based fault tolerance provides a means of low-cost error protection in real-time signal-processing environments. A novel linear algebraic interpretation is developed for previously proposed algorithm-based fault-tolerance schemes. The concepts of distance, code space, and the definitions of detection and correction in the vector space R/sup n/ are clarified. Error detection and error correction performances are proved for distance-d+1 codes. It is shown why the correction scheme does not work for general weight vectors, and a novel fast-correction algorithm is derived for a distance-5 code.<>
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