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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

A fully pipelined, high speed DFT architecture

TL;DR: A one-dimensional fully pipelined architecture for evaluating the discrete Fourier transform (DFT) is presented, based on a modified Horner's rule and can be easily mapped into a binary tree structure.
Journal ArticleDOI

Difference-equation-based digital frequency synthesizer

TL;DR: Simulation results show that the proposed DFS algorithm is preferable to the conventional phase-locked-loop frequency synthesizer and the direct digital frequency synthesiser in terms of the spurious-free dynamic range (SFDR) and the peak-signal-to-noise ratio (PSNR).
Proceedings ArticleDOI

Hardware Implementation of Math Module Based on CORDIC Algorithm Using FPGA

TL;DR: This paper discusses the implementation of math hardware module based on CORDIC algorithm to solve trigonometry, hyperbolic and exponential function on FPGA since it provides a versatile and inexpensive way for implementation.
Proceedings ArticleDOI

Noise filtering for tilt compensated compass

TL;DR: In this paper, an noise filtering solution for a tilt compensated compass is presented to minimize the power consumption of filtering while still providing required required characteristics as the tilt compensation is achieved whit the CORDIC core, it is feasible to use it to perform the filtering.
Journal ArticleDOI

Redesigned-scale-free CORDIC algorithm based FPGA implementation of window functions to minimize area and latency

TL;DR: This paper modify the existing architecture for realizing the window functions using CORDIC processor to reduce its latency and area, and proposes a completely scale-free algorithm for the range of convergence that spans the entire coordinate space.
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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