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 calculationsread more
Citations
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Journal ArticleDOI
CORDIC Designs for Fixed Angle of Rotation
TL;DR: This paper has synthesized the proposed CORDIC cells by Synopsys Design Compiler using TSMC 90-nm library, and shown that the proposed designs offer higher throughput, less latency and less area-delay product than the reference CORDic design for fixed and known angles of rotation.
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Computer architecture for signal processing
TL;DR: Computer architectures for this purpose ate shown to arise from a consideration of several structural factors, including technology, the algorithms to be performed, data structures, and the programming language.
Journal ArticleDOI
On-line CORDIC algorithms
Hai Xiang Lin,Henk Sips +1 more
TL;DR: A number of new algorithms to make an online CORDIC implementation are introduced and it is estimated that an implementation of the proposed algorithm is six to seven times as fast as the traditional CORDic approach for Given's rotation, and seven to eight times asfast for SVD computation.
Proceedings ArticleDOI
An optimal floating-point pipeline CMOS CORDIC processor
TL;DR: An optimized (floating-point) CORDIC algorithm, the hierarchical mapping of this algorithm on a floating-point architecture, the design method, the layout, the chip, and its performance are presented.
Journal ArticleDOI
The MPG System: A Machine-Independent Efficient Microprogram Generator
TL;DR: A machine-independent high-level microprogramming language, called MPGL, has been developed along with its processing system, called MPG, which provides the facility for translatingmicroprograms into efficient object code, as well as debugging object microprograms.
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.