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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Book ChapterDOI
A unified view of CORDIC processor design
TL;DR: A unified view of the different architectures proposed in literatures is presented to provide a wide spectrum of architectures, a coordinated and comprehensive design methodology, and the main figures of merit characterizing architectures' performance and complexity.
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A CORDIC Arithmetic Processor Chip
G.L. Haviland,A.A. Tuszynski +1 more
TL;DR: A monolithic processor computes products, quotients, and several common transcendental functions, based on the well-known principles of "CORDIC," but recourse to a subtle novel corollary results in a scale factor of unity.
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Low-Power VLSI Implementation of the Inner Receiver for OFDM-Based WLAN Systems
TL;DR: Low-power designs for the synchronizer and channel estimator units of the Inner Receiver in wireless local area network systems are proposed and the use of multiple clock domains and clock gating reduces the power consumption.
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A novel implementation of a chirp Z-transform using a CORDIC processor
Yu Hen Hu,S. Naganathan +1 more
TL;DR: An efficient implementation of the chirp Z transform (CZT) using a CORDIC (coordinate rotation digital computer) processor is presented and it is shown that a scaling operation in the CZT algorithm can be conveniently implemented with a norm correction (normalization) computation.
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Novel HW Architecture Based on FPGAs Oriented to Solve the Eigen Problem
TL;DR: A hardware solution is presented to obtain the eigenvalues and eigenvectors of a real and symmetrical matrix using field-programmable gate arrays (FPGAs) based on the Jacobi method, which remarkably improves execution time, while reducing the number of consumed resources of the FPGA.
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.