{"title":"A curve fitting approach for non-iterative divider design with accuracy and performance trade-off","authors":"Lei Wu, C. Jong","doi":"10.1109/NEWCAS.2015.7182097","DOIUrl":null,"url":null,"abstract":"This paper presents an approach based on the curve fitting method for the design of non-iterative divider circuits with accuracy and area-delay product (ADP) trade-offs. The curved surfaces representing the quotient are partitioned into several regions, each of which is then approximated by a square/triangular plane. The planes are obtained by using the curve fitting method for accuracy optimization. The proposed architecture for implementing the planes contains only simple arithmetic operations and a look-up table. Several non-iterative divider circuits with different accuracies and ADPs are obtained. The accuracy achieved in terms of the maximum absolute error percentage (MAEP) ranges from 1.87% to 0.14%. The MAEP of 0.14% is 30% better than the one achieved by the best existing non-iterative divider.","PeriodicalId":404655,"journal":{"name":"2015 IEEE 13th International New Circuits and Systems Conference (NEWCAS)","volume":"148 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE 13th International New Circuits and Systems Conference (NEWCAS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NEWCAS.2015.7182097","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10
Abstract
This paper presents an approach based on the curve fitting method for the design of non-iterative divider circuits with accuracy and area-delay product (ADP) trade-offs. The curved surfaces representing the quotient are partitioned into several regions, each of which is then approximated by a square/triangular plane. The planes are obtained by using the curve fitting method for accuracy optimization. The proposed architecture for implementing the planes contains only simple arithmetic operations and a look-up table. Several non-iterative divider circuits with different accuracies and ADPs are obtained. The accuracy achieved in terms of the maximum absolute error percentage (MAEP) ranges from 1.87% to 0.14%. The MAEP of 0.14% is 30% better than the one achieved by the best existing non-iterative divider.