New redundant cordic algorithms with fast variable scale factor compensations

Chieh Chih Li*, Sau-Gee Chen

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations

Abstract

In this work, new redundant CORDIC algorithms based on a fast variable scale factor compensation algorithm are proposed. By decomposing the complicated variable scale factor ∏ (1 + δi 22-2i)- 1/2 as Exp(-∑ln(1 + δi 22-2i)/2), then in turn as ∏ (1 + si2-i), where siε {-1,0,1}, we can easily determine the direction factor δiε {-1,0,1}, and at the same time do variable scale factor compensation by simply performing shift-and-add operations. Value of si can be easily obtained by estimating only a few most-significant digits (MSD) value of an intermediate variable. The new redundant CORDICs achieve high speed rotation iterations, as well as high-speed and low-complexity scale factor compensations, which are hard to attain simultaneously by the existing redundant CORDICs with variable scale factors.

Original languageEnglish
Article number541953
Pages (from-to)264-267
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
Volume4
DOIs
StatePublished - 15 May 1996
EventProceedings of the 1996 IEEE International Symposium on Circuits and Systems, ISCAS. Part 1 (of 4) - Atlanta, GA, USA
Duration: 12 May 199615 May 1996

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