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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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Journal ArticleDOI

Versatile COFDM demodulator design based on the CORDIC-algorithm

TL;DR: The advantages of the CORDIC-algorithm compared to complex multiplication in butterfly-operations and NCOs (numerical controlled oscillator), which are often used in digital transmission systems, are discussed.
Journal ArticleDOI

Digital SPWM synthesis for the design of single phase inverters

TL;DR: In this paper, an all-digital concept for sinusoidal pulsewidth modulation (SPWM) generation is presented, which uses modern arithmetic algorithms to impose a sinusoid variation of the switching pulses that control the power transistors of a single-phase inverter, thus improving the linear characteristics of the inverter output signal.
Proceedings ArticleDOI

High-radix CORDIC for vector rotation with pipelined FPGA implementation

TL;DR: A new, mixed-radix ( radix-4/radix-2) CORDIC algorithm for vector rotation and an efficient, pipelined implementation in Atmel's AT40K technology are presented.
Book ChapterDOI

Adaptive Arrays for Communications

TL;DR: The aim of this paper is to review the state of the art about adaptive arrays for communications, to discuss some novel ideas and very recent contributions, and to give a future perspective of lines of work.
Proceedings ArticleDOI

CORDIC iterations based architecture for low power and high quality DCT

TL;DR: The proposed CORDIC based 2D DCT architecture is simulated using Modelsim and the experimental results show that the reconfigurable DCT achieves power savings with improved image quality.
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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