{"title":"用于三角和双曲计算的单向CORDIC旋转位的预计算","authors":"S. Ravichandran, V. Asari","doi":"10.1109/ISVLSI.2003.1183472","DOIUrl":null,"url":null,"abstract":"A novel technique for the pre-computation of rotation bits for unidirectional CORDIC is proposed in this paper. The unidirectional CORDIC algorithms differ from the conventional CORDIC in the degree of rotation. A new technique is developed to pre-compute the rotation bits from any given angle. The hardware design VLSI circuit is implemented in a FPGA using Altera Quartus II VHDL. Experimental results obtained with computations of trigonometric and hyperbolic functions using the pre-computed bits show the accuracy results in the order of /spl sim/10/sup -8/.","PeriodicalId":299309,"journal":{"name":"IEEE Computer Society Annual Symposium on VLSI, 2003. Proceedings.","volume":"79 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Pre-computation of rotation bits in unidirectional CORDIC for trigonometric and hyperbolic computations\",\"authors\":\"S. Ravichandran, V. Asari\",\"doi\":\"10.1109/ISVLSI.2003.1183472\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A novel technique for the pre-computation of rotation bits for unidirectional CORDIC is proposed in this paper. The unidirectional CORDIC algorithms differ from the conventional CORDIC in the degree of rotation. A new technique is developed to pre-compute the rotation bits from any given angle. The hardware design VLSI circuit is implemented in a FPGA using Altera Quartus II VHDL. Experimental results obtained with computations of trigonometric and hyperbolic functions using the pre-computed bits show the accuracy results in the order of /spl sim/10/sup -8/.\",\"PeriodicalId\":299309,\"journal\":{\"name\":\"IEEE Computer Society Annual Symposium on VLSI, 2003. Proceedings.\",\"volume\":\"79 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-02-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Computer Society Annual Symposium on VLSI, 2003. Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISVLSI.2003.1183472\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Computer Society Annual Symposium on VLSI, 2003. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISVLSI.2003.1183472","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
摘要
提出了一种单向CORDIC旋转位元预计算的新方法。单向CORDIC算法与传统的CORDIC算法在旋转程度上有所不同。提出了一种从任意给定角度预计算旋转位的新方法。硬件设计电路采用Altera Quartus II VHDL在FPGA上实现。利用预先计算的位元对三角函数和双曲函数进行了计算,得到了精度在/spl sim/10/sup -8/量级的实验结果。
Pre-computation of rotation bits in unidirectional CORDIC for trigonometric and hyperbolic computations
A novel technique for the pre-computation of rotation bits for unidirectional CORDIC is proposed in this paper. The unidirectional CORDIC algorithms differ from the conventional CORDIC in the degree of rotation. A new technique is developed to pre-compute the rotation bits from any given angle. The hardware design VLSI circuit is implemented in a FPGA using Altera Quartus II VHDL. Experimental results obtained with computations of trigonometric and hyperbolic functions using the pre-computed bits show the accuracy results in the order of /spl sim/10/sup -8/.