In 1959, Jack E. Volder presents a brand new formula to the real-time solution of the equation raised in navigation system. This new algorithm was the most beneficial replacement of analog navigation system by the digital. The CORDIC (Coordinate Rotation Digital Computer) algorithm are used for the rapid calculation associated with elementary operates like trigonometric function, multiplication, division and logarithm function, and also various conversions such as conversion of rectangular to polar coordinate including the conversion between binary coded information. In this current time CORDIC formula have many applications in the field of communication, signal processing, 3-D graphics, and others. This paper would be presents the trigonometric function implementation by using CORDIC algorithm in rotation mode for circular coordinate system. The CORDIC technique is used in order to generating the output angle between range 0o to 90o and error analysis is concern. The result showed that the average percentage error is about 0.042% at angles between ranges 00 to 900. But the average percentage error rose up to 45% at angle 90o and above. So, this method is very accurate at the 1st quadrant. The mirror properties method is used to find out an angle at 2nd, 3rd and 4th quadrant.

1.
J. E.
Volder
,
IRE Transactions on Electronic Computers
3
,
330
334
(
1959
).
2.
J.
Volder
,
Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology
25
,
101
105
(
2000
).
3.
S.
Sathyanarayana
,
Signal Processing
1
,
343
346
(
2007
).
4.
A. S. N.
Mokhtar
,
M. B. I.
Reaz
,
K.
Chellappan
and
M. A. M.
Ali
, “
Scaling free CORDIC algorithm implementation of sine and cosine function
,” in
World Congress on Engineering
(
2013
), pp.
926
929
.
5.
L.
Vachhani
,
IEEE Transactions on Industrial Electronics
56
,
4915
4929
(
2009
).
6.
V.
Sharma
and
M. G.
Bansal
, “
FPGA implementation of EEAS CORDIC based sine and cosine generator
,” Master thesis,
Thapar University
,
2009
.
7.
P. K.
Meher
,
J.
Valls
,
J.
Tso-Bing
,
K.
Sridharan
and
K.
Maharatna
,
IEEE Transactions on Circuits and Systems I: Regular Papers
56
,
1893
1907
(
2009
).
8.
J. S.
Walther
, “
A unified algorithm for elementary functions
,” in
ACM Spring Joint Computer Conference
(
1971
), pp.
379
386
9.
D. S.
Cochran
,
Hewlett-Packard Journal
June,
10
11
(
1972
).
10.
T.
Vladimirova
and
H.
Tiggeler
, “
FPGA implementation of sine and cosine generators using the CORDIC algorithm
,” in
Military and Aerospace Programmable Logic Device International Conference
(
1999
), pp.
26
28
.
11.
S.
Hsiao
and
J.
Chen
,
Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology
278
,
267
278
(
1998
).
12.
N. G. Nik
Daud
,
F. R.
Hashim
,
M.
Mustapha
and
M. S.
Badruddin
, “
Hybrid modified booth encoded algorithm-carry save adder fast multiplier
,” in
Information and Communication Technology for The Muslim World (ICT4M), 2014, The 5th International Conference on
(
2014
), pp.
1
6
.
13.
A. S. N.
Mokhtar
,
S. A.
Karim
,
S. P.
Chew
,
S. M. F. S. M.
Dardin
,
L. S.
Supian
,
F. R.
Hashim
, “
FPGA Implementation of Cordic Algorithm in Digital Modulation
,”
Journal of Fundamental and Applied Sciences
,
9
(
3S
), (
2017
).
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