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A Novel Implementation of CORDIC Algorithm Using Backward Angle Recoding (BAR)
December 1996 (vol. 45 no. 12)
pp. 1370-1378
ASCII Text
x 
 
Yu Hen Hu, Homer H.M. Chern, "A Novel Implementation of CORDIC Algorithm Using Backward Angle Recoding (BAR)," IEEE Transactions on Computers, vol. 45, no. 12, pp. 1370-1378, December, 1996.
 
 
BibTex
x
 
@article{ 10.1109/12.545967,
author = {Yu Hen Hu and Homer H.M. Chern},
title = {A Novel Implementation of CORDIC Algorithm Using Backward Angle Recoding (BAR)},
journal ={IEEE Transactions on Computers},
volume = {45},
number = {12},
issn = {0018-9340},
year = {1996},
pages = {1370-1378},
doi = {http://doi.ieeecomputersociety.org/10.1109/12.545967},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - A Novel Implementation of CORDIC Algorithm Using Backward Angle Recoding (BAR)
IS - 12
SN - 0018-9340
SP1370
EP1378
EPD - 1370-1378
A1 - Yu Hen Hu,
A1 - Homer H.M. Chern,
PY - 1996
KW - CORDIC
KW - angle recoding
KW - rotation based computing
KW - VLSI
KW - arithmetic unit
KW - backward angle recoding.
VL - 45
JA - IEEE Transactions on Computers
ER -
 

Abstract—We propose a backward angle recoding (BAR) method to eliminate redundant CORDIC elementary rotations and hence expedite the CORDIC rotation computation. We prove that for each of the linear, circular, and hyperbolic CORDIC rotations, the use of BAR guarantees more than 50% reduction of elementary CORDIC rotations provided the scaling factor needs not be kept constant. The proposed BAR algorithm is simple, and amenable to VLSI implementation. Taking practical applications into consideration, we discuss how to incorporate convergence range enhancement procedure with BAR, and how easy it is to devise a constant-scaling-factor BAR algorithm while still enjoying 25% reduction of CORDIC elementary rotations.

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Index Terms:
CORDIC, angle recoding, rotation based computing, VLSI, arithmetic unit, backward angle recoding.
Citation:
Yu Hen Hu, Homer H.M. Chern, "A Novel Implementation of CORDIC Algorithm Using Backward Angle Recoding (BAR)," IEEE Transactions on Computers, vol. 45, no. 12, pp. 1370-1378, Dec. 1996, doi:10.1109/12.545967
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