CORDIC vectoring with arbitrary target value

Author

Lang, Tomás ; Antelo, Elisardo

Author_Institution

Dept. of Electr. & Comput. Eng., California Univ., Irvine, CA, USA

fYear

1997

fDate

6-9 Jul 1997

Firstpage

108

Lastpage

115

Abstract

The computation of additional functions in the CORDIC module increases its flexibility. We consider the extension of the vectoring mode (angle calculation) so that the vector is rotated until one of the coordinates (for instance, y) attains a target value t (in contrast to the value 0, as in standard vectoring). The main problem in the algorithm is that the modulus of the vector is scaled in each CORDIC iteration so that a direct comparison of y[j] with t does not assure convergence. We present a scheme that overcomes this and in which the implementation consists of a standard CORDIC module plus a module to determine the direction of rotation. This improves over a previous proposal in which more complex iterations are introduced as part of the CORDIC algorithm

Keywords

convergence of numerical methods; iterative methods; mathematics computing; rotation; vectors; CORDIC module; CORDIC vectoring mode; additional functions; angle calculation; arbitrary target value; convergence; flexibility; iteration; rotation direction; vector modulus scaling; vector rotation; Contracts; Convergence; Equations; Kinematics;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Arithmetic, 1997. Proceedings., 13th IEEE Symposium on

Conference_Location

Asilomar, CA

ISSN

1063-6889

Print_ISBN

0-8186-7846-1

Type

conf

DOI

10.1109/ARITH.1997.614885

Filename

614885