FPGA implementation of CORDIC algorithm in digital modulation

Mokhtar, Abdul Halim; Karim, Shemina A; Chew, Sue Ping; Dardin, S.; Supian, Latifah Sarah; Hashim, Fakroul Ridzuan

doi:10.4314/jfas.v9i3s.23

Cited by 1 publication

(1 citation statement)

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“…As a result, tan θ can be implemented by the multiplication as a very efficient bit shift operation. Table 1 indicates the θ value along with tan θ [11][12][13]. Since the rotation may be either in a counter-clockwise direction or clockwise, it is clearly that these steps would be used to approximate an angle between -99.4 and +99.4 (45° + .. + 3.576° + 1.789° + 0.448°+ 26.565°+ 14.036°+ 7.125°+ 0.895°= 99.434).…”

Section: -2mentioning

confidence: 99%

Implementation of trigonometric function using CORDIC algorithms

Mokhtar¹,

Ayub²,

Ismail³

et al. 2018

AIP Conference Proceedings

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Abstract. 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.

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Section: -2mentioning

confidence: 99%