Proceedings ArticleDOI
A unified algorithm for elementary functions
J. S. Walther
- pp 379-385
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 angle recoding scheme for efficient realization of rotation-based digital signal processing algorithms
Yu Hen Hu,S. Naganathan +1 more
TL;DR: It is proved that this proposed angle recoding scheme is able to reduce the total number of elementary rotation angles by at least 50%.
Parametrized Architecture for Hough Transform Recursive Evaluation
TL;DR: Paper submitted to International Workshop on Spectral Methods and Multirate Signal Processing (SMMSP), Barcelona, Espana, 2003.
Journal ArticleDOI
An approach to the application of shift-and-add algorithms on engineering and industrial processes
TL;DR: This paper will analyze the requirements of some engineering and industrial problems in terms of type of operands and functions to approximate and propose the application of shift-and-add algorithms based on CORDIC to these problems.
Dissertation
Implementación de arquitecturas para el cálculo de funciones trascendentales empleando el algoritmo CORDIC en FPGA
Agurto Rios,Carla Paola +1 more
TL;DR: In this article, el algoritmo Coordenado Circular, Hiperbolico, and Lineal (CORDIC) is proposed to reduce tanto el uso de compuertas logicas as well as el numero de iteraciones empleadas al implementar una funcion trascendental.
Proceedings ArticleDOI
Convergence analysis of a CORDIC-based gradient adaptive lattice filter
TL;DR: A convergence model is provided and convergence properties of filter coefficients are revealed and a steady-state model is derived based on a Markov chain to derive an efficient hardware design of a CORDIC-based gradient adaptive lattice filter.
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.