Proceedings ArticleDOI
A unified algorithm for elementary functions
J. S. Walther
- pp 379-385
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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 calculationsread more
Citations
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Proceedings ArticleDOI
A CORDIC implementation of a digital artificial neuron
M. Wedlake,H.L. Kwok +1 more
TL;DR: This paper presents the CORDIC implementation of a digital neuron, achieving a data rate of 0.988 million synaptic connections/second, suitable for multilayer perceptrons.
Journal ArticleDOI
Hardware efficient algorithms for trigonometric functions
TL;DR: A new algorithm is presented which significantly reduces the minimum amount of logic required to calculate sine, cosine, and square root and is found to be reasonably fast, very accurate, and to require considerably less hardware than a comparable CORDIC algorithm.
Proceedings ArticleDOI
Multiplierless Piecewise Linear Approximation of Elementary Functions
Oscar Gustafsson,K. Johanson +1 more
TL;DR: In this article, a multiplierless architecture for piecewise linear approximation of elementary functions is discussed, where the general multiplier can be replaced by configurable shifts and a multi-input adder.
Proceedings ArticleDOI
Bit-serial CORDIC circuits for use in a VLSI silicon compiler
TL;DR: Modifications which have been found to make the basic algorithms more flexible are presented, and logic diagrams of circuits which implement the fixed-point computations of these modified CORDIC algorithms in a bit-serial fashion are introduced.
DissertationDOI
Decision feedback equalization for powerline and HIPERLAN
TL;DR: A novel algorithm based on Displacement Structure Theory well suited to VLSI implementation is developed and a hardware architecture implementing the algorithm 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.