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Proceedings ArticleDOI

A unified algorithm for elementary functions

J. S. Walther
- pp 379-385
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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Journal ArticleDOI

FPGA Implementation of the CORDIC Algorithm for Fingerprints Recognition Systems

TL;DR: A low-cost sequential and high performance architecture for the implementation of CORDIC algorithm in two computation modes suited for serial operation that performs conversion between polar and rectangular coordinate systems, essentially sin/cos, sinh/cosh and arctan computation.
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Design and Simulation of an 8-bit Dedicated Processor for calculating the Sine and Cosine of an Angle using the CORDIC Algorithm

TL;DR: This paper describes the design and simulation of an 8-bit dedicated processor for calculating the Sine and Cosine of an Angle using CORDIC Algorithm (COordinate Rotation DIgital Computer), a simple and efficient algorithm to calculate hyperbolic and trigonometric functions.
Journal ArticleDOI

SVD-updating using orthonormal μ-rotations

TL;DR: The SVD-updating algorithm is amenable to an implementation using orthonormal μ-rotations, i.e., each rotation executed in the SVD, updating algorithm will be approximated by orthonorm μ- rotations.

Implementation & performance analysis of cordic in ofdm based wlan system using vhdl

TL;DR: This paper is focused on the implementation of CO-ordinate Rotation Digital Ccomputer (CORDIC) algorithm in wireless Local Area Network (WLAN) receiver and the primary task is to create a VHDL description for CORDIC vector rotation algorithm.
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Rotation, Scaling and Translation Analysis of Biometric Signature Templates

TL;DR: A robust system that optimizes the signature obtained from the user for a large range of variation in Rotation-Scaling-Translation (RST) and resolves these error parameters in the user signature according to the reference signature stored in the database is proposed.
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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