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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Dissertation
On designing coarse grain reconfigurable arrays to operate in weak inversion
TL;DR: COordinate Rotation DIgital Computer (CORDIC) is an iterative algorithm used to emmulate hardware expensive multipliers, such as Multiply/ACculmulate (MAC) units, with only shift and add operations.
Proceedings ArticleDOI
Design of a Mathematical Unit in FPGAs for the Implementation of the Control of a System of Magnetic Levitation
TL;DR: The design and implementation of a mathematical unit, which is generated automatically, from a program elaborated in Java that describes the circuit in VHDL, ready to be synthesized with the Xilinx ISE tool is presented.
Book ChapterDOI
Efficient VLSI Implementation of CORDIC-Based Direct Digital Synthesizer
N. Prasad,Manas Ranjan Tripathy,Ansuman DiptiSankar Das,Nihar Ranjan Behera,Ayas Kanta Swain +4 more
TL;DR: This paper presents efficient VLSI implementation of a direct digital synthesizer (DDS) that has a frequency control word (FCW) that can select up to three different values for the phase increment.
Proceedings ArticleDOI
Distance measurement algorithm for freeway vehicles based on Zigbee technology
TL;DR: A solution which can achieve new freeway vehicles with wireless system to locate and distance measurement with Zigbee protocol stack design software and applying RSSI location algorithm, which located monitored vehicles on the real time.
Journal ArticleDOI
Design of a reconfigurable transcendental function generator
TL;DR: The functional simulation and field programmable gate array (FPGA) verification show that the proposed method obtains great flexibility with acceptable performance.
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.