{"title":"Floating point Cordic","authors":"G. Hekstra, E. Deprettere","doi":"10.1109/ARITH.1993.378100","DOIUrl":null,"url":null,"abstract":"A full-precision floating-point Cordic algorithm, suitable for the implementation of a word-serial Cordic architecture, is presented. The extension to existing block floating-point Cordic algorithms is in a floating-point representation for the angle. The angle is represented as a combination of exponent, microrotation bits, and two bits to indicate prerotations over /spl pi/2 and /spl pi/ radians. Representing floating-point angles in this fashion maintains the accuracy that is present in the input data, which makes it ideally suited for implementing a floating-point Givens operator.<<ETX>>","PeriodicalId":414758,"journal":{"name":"Proceedings of IEEE 11th Symposium on Computer Arithmetic","volume":"293 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"50","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of IEEE 11th Symposium on Computer Arithmetic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.1993.378100","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 50
Abstract
A full-precision floating-point Cordic algorithm, suitable for the implementation of a word-serial Cordic architecture, is presented. The extension to existing block floating-point Cordic algorithms is in a floating-point representation for the angle. The angle is represented as a combination of exponent, microrotation bits, and two bits to indicate prerotations over /spl pi/2 and /spl pi/ radians. Representing floating-point angles in this fashion maintains the accuracy that is present in the input data, which makes it ideally suited for implementing a floating-point Givens operator.<>