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
Novel systolic array design for the discrete Hartley transform with high throughput rate
TL;DR: A novel systolic array design for the discrete Hartley transform is designed, including the single/double data folding, and the constructive feature and the data reusage.
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CORDIC based implementation of Fast Fourier Transform
Pooja Choudhary,Abhijit Karmakar +1 more
TL;DR: It is proved that CORDIC is most suitable alternative to conventional FFT architecture and results in the elimination of multipliers, saves area, power and cost.
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A Novel Method for Computing Exponential Function Using CORDIC Algorithm
TL;DR: The design of Coordinate Rotation Digital Computer (CORDIC) based 2D Gaussian function and an efficient Very Large Scale Integration (VLSI) architecture suitable for Field Programmable Gate Array (FPGA) implementation is presented.
Proceedings ArticleDOI
Arbitrary Waveform Generator Based on Direct Digital Frequency Synthesizer
TL;DR: The CORDIC algorithm with an iterative process and a pipeline plus parallel structure are used to implement the AWG whose frequencies and amplitudes of sinusoid waveforms in the arbitrary wave can be controlled by frequency control words (FCWs), initial vectors of CORDic module respectively.
Proceedings ArticleDOI
CORDIC trigonometric function generator for DSP
TL;DR: A description is given of the architecture and CMOS implementation of a fast digital trigonometric function generator that uses the CORDIC algorithms to produce simultaneous sine and cosine functions at a 40-MHz sampling 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.