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
Comparison of logarithmic and floating-point number systems implemented on Xilinx Virtex-II field-programmable gate arrays
TL;DR: The results show that the LNS is beneficial for larger characteristics than 6-bits only for specialist applications that require a high portion of division, multiplication, square root, powering operations and few additions, and for larger characteristic lengths the floating-point system is more efficient.
Journal ArticleDOI
IS-CORDIC: a fixed-point inverse recoded single iteration CORDIC architecture
Hamid M. Kamboh,Shoab A. Khan +1 more
TL;DR: A novel modified Coordinate Rotation Digital Computer (CORDIC) architecture that computes values of sine and cosine in a single cycle that is 7.9 times more efficient than basic CORDIC and has reduced area-delay product than current state of the art implementations.
Proceedings ArticleDOI
Time-shared TMR for fault-tolerant CORDIC processors
TL;DR: Presents a low-cost approach to concurrent error correction in high-performance CORDIC processors by using time-shared triple modular redundancy, which has limited latency increase and throughput reduction.
Proceedings ArticleDOI
Considerations for design of a complex multiplier
TL;DR: The design of a multiplier for the multiplication of complex numbers is considered, which shares the Booth encoding for the real and imaginary parts, with only one Wallace tree of 4:2 adders for each part.
Proceedings ArticleDOI
A low-power geometric mapping co-processor for high-speed graphics application
S. Leeke,L. Maharatna +1 more
TL;DR: A low-power geometric mapping co-processor that can be used for high-performance graphics system and can carry out any single or a combination of transformations belonging to affine transformation family ranging from 1D to 3D 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.