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
Approximation of elementary functions using a weighted sum of bit-products
TL;DR: A novel approach for approximating elementary functions by rewriting the function as a sum of weighted bit-products an efficient implementation is obtained, suitable for high-speed implementation of fixed-point functions.
Proceedings ArticleDOI
Dynamic Configurable Floating-Point FFT Pipelines and Hybrid-Mode CORDIC on FPGA
TL;DR: A compact SAR processor, composed of four 1D FFT-PEs (processing elements) and a CORDIC co-processor, is implemented on FPGA to reduce the area consumption through reusing floating-point units and performs well both in area and latency.
Journal ArticleDOI
Efficient FPGA implementation of homodyne-based time-of-flight range imaging
Adrian P.P. Jongenelen,Donald G. Bailey,Andrew D. Payne,Dale A. Carnegie,Adrian A. Dorrington +4 more
TL;DR: An efficient real-time FPGA algorithm for determining phase, and hence distance, from the raw image sensor output, and an efficient method for combining these results to determine unambiguous range, based on the Chinese remainder theorem are presented.
Proceedings ArticleDOI
A floating point pipeline CORDIC processor with extended operation set
D.E. Metafas,C.E. Goutis +1 more
TL;DR: A novel architecture of a digital signal processing (DSP) floating point, pipelined processor is presented which is based on the CORDIC and CCM algorithms, providing for the first time a single hardware structure with a full set of elementary arithmetic operations.
Proceedings ArticleDOI
Redundant Cordic rotator based on parallel prediction
TL;DR: A Cordic rotator based on the prediction of all the coefficients into which the rotation angle is decomposed is presented, using carry-save arithmetic and the resulting architecture can be highly pipelined and consequently appropriate for applications where high speeds are required.
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.