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 calculationsread more
Citations
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Proceedings ArticleDOI
An implementation of a normalized ARMA lattice filter with a CORDIC algorithm
TL;DR: A CORDIC (COordinate Rotation Digital Computer) implementation of a normalized ARMA lattice filter which can identify unknown-input models so that it can be widely used in digital signal processing.
Proceedings ArticleDOI
CORDIC algorithm with digits skipping
TL;DR: A modification of the CORDIC algorithm which permits one to reduce the average number of iterations by up to 31% with a very low hardware cost, based on skipping consecutive zeros and Booth recoding consecutive ones in the z coordinate after iteration n/2.
Proceedings ArticleDOI
Efficient Implementation Of Chirp Z-Transform Using A Cordic Processor*
Yu Hen Hu,S. Naganathan +1 more
TL;DR: An efficient implementation of the Chirp Z Transform (CZT) using a CORDIC (Coordinate Rotation Dlgital Computer) Processor is presented and it is shown that a seal- ing operation in the CZT algorithm can be conveniently implemented with a norm correction (normalization) computation.
Journal ArticleDOI
Function approximation on decimal operands
TL;DR: An improved CORDIC-based method so as to approximate functions on decimal operands is proposed that will work with BCD operands, so no conversion to/from radix-2 is needed and an important reduction in the number of iterations is achieved.
Proceedings ArticleDOI
Low-Cost and Fast Design of Precise Activation Functions in Neural Network
TL;DR: The simple algorithm proposed in this paper, in which only a half-domain exponential function is applied prior to a Booth division, can reduce both the area overhead and the power consumption and the acceleration in backpropagation and learning rate.
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.