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
Embedded Reconfigurable Solution for OFDM Detection Over Fast Fading Radio Channels
Mihai Sima,Michael McGuire +1 more
TL;DR: Overall, it is shown that OFDM demodulation under fast-fading can be performed in fixed-point arithmetic and in real-time on a Nios II reconfigurable embedded system, proving that an SDR solution for OF DM demodulated under fast fading is possible.
Proceedings ArticleDOI
Reconfigurable Parallel VLSI Co-Processor for Space Robot Using FPGA
TL;DR: This paper proposes hardware solutions to the computation for the trigonometric and square root functions of inverse kinematics based on an existing pipeline arithmetic which employs the CORDIC(Coordinate Rotation Digital Computer) algorithm.
Proceedings ArticleDOI
On the Hardware Reduction of z-Datapath of Vectoring CORDIC
TL;DR: A mathematical theory is presented to show that using bipolar binary notation it is possible to eliminate all the arithmetic computations required along the z-datapath and achieve three and 1.5 times reduction in the number of registers and adder respectively compared to classical CORDIC.
Simulink Design Of Pipelined CORDIC For Generation of Sine and Cosine Values
TL;DR: A simple Pipelined CORDIC structure for generation of sine and cosine values has been implemented and verified using Simulink tool by MATLAB.
Proceedings ArticleDOI
Algorithmic truncation of minimax polynomial coefficients
S.A. Tawfik,Hossam A. H. Fahmy +1 more
TL;DR: An algorithm for truncating the coefficients of the minimax polynomials obtained from Remez algorithm using an algorithmic method and a gain of 3 and 4 bits of accuracy over the direct rounding is reported.
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.