Low-Power FPGA-Implementation of atan(Y/X) Using Look-Up Table Methods for Communication Applications

Gutierrez, R.; Valls, Javier

doi:10.1007/s11265-008-0253-z

Cited by 11 publications

(14 citation statements)

References 15 publications

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“…This can be easily performed by the architecture depicted on Figure 4 [2]. This architecture first CORDIC computation of the arctangent is classically [3],…”

Section: B Scaling Range Reductionmentioning

confidence: 99%

Hardware Implementations of Fixed-Point Atan2

Dinechin

Istoan

2015

2015 IEEE 22nd Symposium on Computer Arithmetic

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The atan2 function computes the polar angle arctan(y/x) of a point given by its cartesian coordinates. It is widely used in digital signal processing to recover the phase of a signal. This article studies for this context the implementation of atan2 with fixed-point inputs and outputs. It compares the prevalent CORDIC shift-and-add algorithm to two multiplierbased techniques. The first one computes the bivariate atan2 function as the composition of two univariate functions: the reciprocal, and the arctangent, each evaluated using bipartite or polynomial approximation methods. The second technique directly uses piecewise bivariate polynomial approximations of degree 1 or 2. Each of these approaches requires a relevant argument reduction, which is also discussed. All the algorithms are last-bit accurate, and implemented with similar care in the open-source FloPoCo framework. Based on synthesis results on FPGAs, their relevance domains are discussed.

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“…This can be easily performed by the architecture depicted on Figure 4 [2]. This architecture first CORDIC computation of the arctangent is classically [3],…”

Section: B Scaling Range Reductionmentioning

confidence: 99%

Hardware Implementations of Fixed-Point Atan2

Dinechin

Istoan

2015

2015 IEEE 22nd Symposium on Computer Arithmetic

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“…The proposed RPC is compared with other implementations [15] on the same target device. Whereas [15] is providing only phase, ours is computing the phase as well as the magnitude.…”

Section: Figure 6 Area Utilizationmentioning

confidence: 99%

“…Whereas [15] is providing only phase, ours is computing the phase as well as the magnitude. The comparison chart is shown in Table 1.…”

Section: Figure 6 Area Utilizationmentioning

confidence: 99%

“…This saving will be more as the number of pipeline registers is increased. Also the proposed model provides a 7-10 fold increase in the speed, but as in [15], if registers are increased in the pipeline, it provides speed enhancement at the cost of more hardware. Also the proposed model is saving 50-65% power, when compared with the existing models with less number of pipelined registers.…”

Section: Figure 6 Area Utilizationmentioning

confidence: 99%

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Reconfigurable Design of Rectangular to Polar Converter using Linear Convergence

Agrawal¹,

Mehra²

2012

IJCA

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In recent years, the growth of multimedia services and applications in digital data transmission has led to ever increasing demands of effective data transmission over the wired as well as wireless communication systems. Since digital communication systems need to deal with multimode and multiband operations on complex signals many-a-times, there is always a requirement of an efficient method for rapid phase and magnitude extraction. The proposed Rectangular to Polar Converter (RPC) has been implemented using fully parallel CORDIC, a Linear Convergence Algorithm, in vectoring mode. The design is synthesized with ISE 10.1 software, and implemented on 2v3000fg676-4. Synthesis results show that the design is able to work at 177.620 MHz with less hardware requirements. General TermsA rectangular to polar conversion is required so that transmitters must accommodate constant envelop signals as well as non-constant envelop signals to achieve multimode and multiband operations. In burst-mode communication systems, a rapid carrier is crucial. Hence a fast rectangular-topolar conversion is needed. Delay-matching of phase as well as amplitude is crucial so that the restoration of the transmitted data at the receiver may be not be imperfect if the delays are unmatched.

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“…Each of these approaches requires a relevant argument reduction, which is also discussed. All the algorithms are lastbit accurate, and implemented with similar care in the opensource FloPoCo framework [2]. R. Gutierrez a, V. Torres b and J. Valls presents a paper that proposed an architecture for the computation of the atan2.…”

Section: Introductionmentioning

confidence: 99%

Design and Implementation Hardware Architecture for Four–Quadratic Arctangent

Zeyad¹

2017

IJCA

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The Four-Quadratic Arctangent (atan2) function is used in many fields: telecommunication to recover the phase of the signal, robotics to computing the inverse kinematic for a robot arm control system, and in general used in transformation from Cartesian to polar coordinates. In this paper an FPGA based architecture design and its implementation has been presented. The piecewise polynomial approximation method with non-uniform segmentation has been used to implement the arctangent because it is suitable in hardware implementation. It is saving in resource utilization and takes a suitable accuracy.

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Low-Power FPGA-Implementation of atan(Y/X) Using Look-Up Table Methods for Communication Applications

Cited by 11 publications

References 15 publications

Hardware Implementations of Fixed-Point Atan2

Hardware Implementations of Fixed-Point Atan2

Reconfigurable Design of Rectangular to Polar Converter using Linear Convergence

Design and Implementation Hardware Architecture for Four–Quadratic Arctangent

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