A new method to implement CORDIC algorithm

Kharrat, Maher; Loulou, Mourad; Masmoudi, N.; Kamoun, Lotfı

doi:10.1109/icecs.2001.957575

Cited by 7 publications

(6 citation statements)

References 2 publications

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“…, and i = 0, 1, • • • , n for circular coordinates or linear coordinates; i = 1, 2, • • • , n for hyperbolic coordinates. Define scaling factors K and K' for m = 1 and m = −1 [22], respectively, as (2) and (3).…”

Section: Basic Cordic Algorithmmentioning

confidence: 99%

Low-Latency Hardware Implementation of High-Precision Hyperbolic Functions Sinhx and Coshx Based on Improved CORDIC Algorithm

Xia

Lin

et al. 2021

Electronics

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CORDIC algorithm is used for low-cost hardware implementation to calculate transcendental functions. This paper proposes a low-latency high-precision architecture for the computation of hyperbolic functions sinhx and coshx based on an improved CORDIC algorithm, that is, the QH-CORDIC. The principle, structure, and range of convergence of the QH-CORDIC are discussed, and the hardware circuit architecture of functions sinhx and coshx using the QH-CORDIC is plotted in this paper. The proposed architecture is implemented using an FPGA device, showing that it has 75% and 50% latency overhead over the two latest prior works. In the synthesis using TSMC 65 nm standard cell library, ASIC implementation results show that the proposed architecture is also superior to the two latest prior works in terms of total time (latency × period), ATP (area × total time), total energy (power × total time), energy efficiency (total energy/efficient bits), and area efficiency (efficient bits/area/total time). Comparison of related works indicates that it is much more favorable for the proposed architecture to perform high-precision floating-point computations on functions sinhx and coshx than the LUT method, stochastic computing, and other CORDIC algorithms.

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Section: Basic Cordic Algorithmmentioning

confidence: 99%

Low-Latency Hardware Implementation of High-Precision Hyperbolic Functions Sinhx and Coshx Based on Improved CORDIC Algorithm

Xia

Lin

et al. 2021

Electronics

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“…In 2001, Kharrat et.al. [4] proposed an optimized CORDIC implementation which offers reduction in silicon area and provides good precision of results but this approach was found suitable for up to 20 bits. Leena Vachhani et.al.…”

Section: Reviewsmentioning

confidence: 99%

Hardware for Calculation of SIN and COSINE Angle using CORDIC Algorithm

Tiwari¹,

Khare²

2014

IJCA

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Trigonometric functions have wide variety of applications in real life. Specially SIN and COSINE waves have been very useful in medical science, signal processing, geology, electronic communication, thermal analysis and many more. Real life application requires fast calculation capabilities as much as possible. Hardware, due to its hardwired design, provides high speed calculations for such application. This paper presents a hardware design that calculates SIN and COSINE value of a given angle using COordinate Rotation DIgital Computer (CORDIC) algorithm.

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“…To validate or test the new method, an implementation of angle decomposition equation using FPGA technology is presented. This approach shows a considerable surface reduction and good precision for calculation of a resolution less than 20 bits [7]. In 2001 the researchers Bernard Tiddeman and David Perrett described a new method for creating visually realistic moving facial image sequences that retain an actor's personality (individuality, expression and characteristic movements) while altering the facial appearance along a certain specified facial dimension.…”

Section: Introductionmentioning

confidence: 99%

“…The implementation and testing are in article (6). The Conclusions and performance evaluation are stated in article (7). Finally, the references are stated at the end.…”

Section: Introductionmentioning

confidence: 99%

Transformation Matrix for 3D computer Graphics Based on FPGA(English)

Ali¹

2012

(AREJ)

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The real time of the computer graphics system performance is one of the fast many computing applications. The 3D (three-dimensional) geometric transformations are one of the most important principles of interactive computer graphics, which are essential for modeling, viewing and animation. This paper tends to construct a general form of a single matrix representation for multiple geometric transformations for threedimensional objects. This way, a speed up factor of 1 to 5 can be gained. Architecture is designed, and implemented as a hardware unit, and then tested for the single matrix transformation, using Field Programmable Gate Array (FPGA).

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A new method to implement CORDIC algorithm

Cited by 7 publications

References 2 publications

Low-Latency Hardware Implementation of High-Precision Hyperbolic Functions Sinhx and Coshx Based on Improved CORDIC Algorithm

Low-Latency Hardware Implementation of High-Precision Hyperbolic Functions Sinhx and Coshx Based on Improved CORDIC Algorithm

Hardware for Calculation of SIN and COSINE Angle using CORDIC Algorithm

Transformation Matrix for 3D computer Graphics Based on FPGA(English)

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