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Digital Arithmetic
book

Digital Arithmetic

by Miloš D. Ercegovac, Tomás Lang
September 2003
Intermediate to advanced content levelIntermediate to advanced
709 pages
26h 51m
English
Morgan Kaufmann
Content preview from Digital Arithmetic
616 c
H A
P T E R 11 CORDIC Algorithm and Implementations
microrotations. The expected coordinates of the rotated vector are
x -- 0.0
XR = in -~- Yin2
= 0.8645, YR
and the rotated angle
z f = tan-l ( O'43 ~
\0--~,/ -- 0.5205
The accumulated angle z[13] = 0.5206. After performing compensation of
the scaling factor K -- 1.64676, we obtain
x[13]/K --
0.864. The errors are
smaller than 2 -12. 9
1t ,2
Convergence, Precision, and Range
In this section we check the convergence of the algorithm, determine the precision
obtained with n iterations, and the range of the rotation angle. We first consider
the rotation mode.
11,2,.t ...
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Publisher Resources

ISBN: 9781558607989