50 Years of CORDIC: Algorithms, Architectures, and Applications

Meher, Pramod Kumar; Valls, Javier; Juang, Tso-Bing; Sridharan, K.; Maharatna, Koushik

doi:10.1109/tcsi.2009.2025803

Cited by 450 publications

(215 citation statements)

References 98 publications

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“…Angle to code converters built on two basic principles-tracking loop converter that minimizes the error signal between the input signal and its image in the transmitter memory (table of sine and cosine) [2], and on the basis of direct calculation of the arc tangent of the angle, the most common of which is a system based on CORDIC algorithms [2,3].…”

Section: Development Of Signal Processing Integrated Circuitmentioning

confidence: 99%

Development Signal Processing Integrated Circuit for Position Sensors with High Resolution

Prokofiev

Bolshakov

Stakhin

2017

Proceedings of the Scientific-Practical Conference "Research and Development - 2016"

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The article deals with the problem of creating application-specific integrated circuits transducer signal for position sensors with high resolution. The results of the work on the development of such chips considered various solutions converters angle to code and justify the chosen architecture of the converter on the basis of a digital servo system with interpolation of the input signal. The results of modeling and experimental studies and comparison of developed angle to code converter with other known solutions are described.

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Section: Development Of Signal Processing Integrated Circuitmentioning

confidence: 99%

Development Signal Processing Integrated Circuit for Position Sensors with High Resolution

Prokofiev

Bolshakov

Stakhin

2017

Proceedings of the Scientific-Practical Conference "Research and Development - 2016"

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“…The most important concept of the actual algorithms founded on rotator of a two dimensional (x and y) vector with circular, hyperbolic and linear coordinate systems [7]. CORDIC become more useful as John Walther reveal a few parameters; it is desirable in order to perform as single algorithm for unified implementation of wide range of elementary transcendental functions related to the logarithms, exponentials and square root [8].…”

Section: Introductionmentioning

confidence: 99%

“…Although CORDIC is not fastest technique to perform these operations, but it is attractive because of the simplicity of its hardware implementation. The same iterative method could be used for all application using basic shift-add operation of the form a ± b.2 -i [7]. …”

Section: Introductionmentioning

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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“…They are usually implemented using an iterative algorithm called CORDIC [11]. To obtain high throughput, we also utilise permutations in our structures, given by…”

Section: Introductionmentioning

confidence: 99%

Synthesis and Realization of 3-D Orthogonal FIR Filters Using Pipeline Structures

Poczekajło

Wirski

2017

Circuits Syst Signal Process

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The authors present a novel design algorithm for 3-D orthogonal filters. Both separable and non-separable cases are discussed. In the separable case, the synthesis leads to a cascade connection of 1-D systems. In the latter case, one obtains 2-D systems followed by a 1-D one. Realization techniques for these systems are presented which utilize Givens rotations and delay elements. The results are illustrated by examples of separable and non-separable 3-D system designs, i.e., Gaussian and Laplacian filters.

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50 Years of CORDIC: Algorithms, Architectures, and Applications

Cited by 450 publications

References 98 publications

Development Signal Processing Integrated Circuit for Position Sensors with High Resolution

Development Signal Processing Integrated Circuit for Position Sensors with High Resolution

Implementation of trigonometric function using CORDIC algorithms

Synthesis and Realization of 3-D Orthogonal FIR Filters Using Pipeline Structures

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