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Proceedings ArticleDOI

A unified algorithm for elementary functions

J. S. Walther
- pp 379-385
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TLDR
This paper describes a single unified algorithm for the calculation of elementary functions including multiplication, division, sin, cos, tan, arctan, sinh, cosh, tanh, arCTanh, In, exp and square-root.
Abstract
This paper describes a single unified algorithm for the calculation of elementary functions including multiplication, division, sin, cos, tan, arctan, sinh, cosh, tanh, arctanh, In, exp and square-root The basis for the algorithm is coordinate rotation in a linear, circular, or hyperbolic coordinate system depending on which function is to be calculated The only operations required are shifting, adding, subtracting and the recall of prestored constants The limited domain of convergence of the algorithm is calculated, leading to a discussion of the modifications required to extend the domain for floating point calculations

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Citations
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Proceedings ArticleDOI

Hardware implementation of triangulation method based on CORDIC algorithm

TL;DR: This paper presents the implementation of a CORDIC (Coordinate Rotation Digital Computer ) processor based on the IEEE 754 Standard for Binary Floating-Point Arithmetic, and presents the cosine law, implemented on DE2 circuit board and verified by logic analyzer.
Journal Article

A Multi Cordic Architecture on FPGA Platform

TL;DR: A multi CordIC processor that integrates different CORDIC architectures on a single FPGA chip and allows the user to select the CORDic architecture to proceed with based on what he wants to calculate and his needs is presented.
Dissertation

Coded-OFDM for PLC systems in non-Gaussian noise channels

TL;DR: This thesis focuses on improving the performance of iterative decoders by deriving the effective, complex-valued, ratio distributions of the noise samples at the zeroforcing (ZF) equalizer output considering the frequency-selective multipath PLCs, background interference noise and impulsive noise, and utilizing the outcome for computing the apriori log likelihood ratios (LLRs) required for soft decoding algorithms.
Proceedings ArticleDOI

Design and Implementation of a 2-level FSK Digital Modems Using CORDIC Algorithm

TL;DR: A 2-level FSK digital modems with CORDIC algorithm for family network with noncoherent detector designed based on counting the zero crossings using new noise elimination technique is presented.
Journal ArticleDOI

Design and Implementation of Hybrid CORDIC Algorithm Based on Phase Rotation Estimation for NCO

TL;DR: A kind of hybrid CORDIC algorithm based on phase rotation estimation applied in numerical controlled oscillator (NCO) is proposed, which reduces part phase rotation and add-subtract unit, so that it decreases delay.
References
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Journal ArticleDOI

The CORDIC Trigonometric Computing Technique

TL;DR: The trigonometric algorithms used in this computer and the instrumentation of these algorithms are discussed in this paper.
Journal ArticleDOI

Decimal-Binary Conversions in CORDIC

TL;DR: The CORDIC conversion technique is sufficiently general to be applied to decimal-binary conversion problems involving other mixed radix systems and other decimal codes.
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