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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A low-power and high-quality implementation of the discrete cosine transformation
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A novel rotational VLSI architecture based on extended elementary angle set CORDIC algorithm
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TL;DR: The proposed EEAS scheme provides a more flexible way of decomposing the target rotation angle in CORDIC operation, and its quantization error performance is better than the AR technique, and an improved scaling operation is proposed, called Extended Type-II (ET-II) scaling operation, as the scaling scheme for the EEAS-based CORDic algorithm.
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Efficient FPGA-based QPSK Demodulation Loops: Application to the DVB Standard
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A Reconfigurable FPGA-based 16-Channel Front-End for MRI
I.L. Dalai,F.L. Fontaine +1 more
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Journal ArticleDOI
Real-Time and High-Accuracy Arctangent Computation Using CORDIC and Fast Magnitude Estimation
TL;DR: An improved VLSI (Very Large Scale of Integration) architecture for real-time and high-accuracy computation of trigonometric functions with fixed-point arithmetic, particularly arctangent using CORDIC and fast magnitude estimation is presented.
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.