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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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Book ChapterDOI

Exploring Dynamic Reconfigurable CORDIC Co-Processors Tightly Coupled with a VLIW-SIMD Soft-Processor Architecture

TL;DR: The different aspects and design issues of different implementation strategies are discussed and it is shown that the initial reconfiguration overhead introduced by DPR systems is negligible in contrast to the speedup gained by the reconfigurations of the hardware accelerator when computing the same function more than 51 times consecutively.
Proceedings ArticleDOI

A VLSI architecture for minimizing the transmission power in OFDM transceivers

TL;DR: This paper presents a VLSI architecture for optimizing the transmission power required in turbo-Coded Orthogonal Frequency Division Multiplexing modems and has shown the performance gain in an indoor wireless application.
Proceedings ArticleDOI

ASIC Architecture for Implementing Blackman Windowing for Real Time Spectral Analysis

TL;DR: A hardware efficient and flexible ASIC (application specific integrated circuit) architecture for Blackman windowing using CORDIC (co-ordinate rotation digital computer) as building block to minimize the spectral leakage and picket fence effect which are usual phenomena during spectral analysis by truncating input signals for finite length of FFT processor.
Proceedings ArticleDOI

A high speed CORDIC algorithm

TL;DR: The classic CORDIC algorithm is modified to reduce the number of iterations which reduces rounding noise and simulation results are presented.
Proceedings ArticleDOI

An application specific IC for digital signal processing: the floating point pipeline CORDIC processor

TL;DR: The CORDIC processor is a systolic processor that performs plane rotations in two different coordinate systems to achieve maximal throughput m-matrix computations.
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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