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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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Dissertation

A parametric approach to adaptive IIR filtering : finite precision implementation and stability aspects.

Jiong. Zhou
TL;DR: In this paper, the effects of parametrizations and structures on the performance of adaptive filters, particularly on the stability aspect, were investigated, and new adaptive algorithms were derived, and it was shown that such an adaptive filter yields much better performance than the classical adaptive state-space filters in terms of stability and FWL behavior.
Proceedings ArticleDOI

Implementation of unidirectional CORDIC algorithm using precomputed rotation bits

TL;DR: A new technique to compute various trigonometric, logarithmic and transcendental functions fast with a high degree of accuracy with significant reduction in the number of iterations, and power savings is proposed.
Proceedings ArticleDOI

The design of NCO based on CORDIC algorithm and implementation in FPGA(

TL;DR: A new kind of CORDIC algorithm was presented which was based on the state machine structure and iterative operation of multilevel pipeline architecture and has been realized in the FPGA using the multileVEL pipeline architecture.
Proceedings ArticleDOI

CORDIC-based architectures for robot direct kinematics and Jacobian computations

TL;DR: Two efficient CORDIC-based architectures, designed to take advantage of the algorithmic characteristics of the kinematic equation, are proposed for the real-time computation of manipulator direct kinematics and Jacobian.
Proceedings ArticleDOI

Biomedical sensor interface for PLI cancellation

TL;DR: A Mixed-signal bio-potential signal interface that uses a feedback loop that acts like an adaptive notch filter to increase system immunity to power line interference to exploit an optimized technique for frequency generation.
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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