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
Huicore: A Generalized Hardware Accelerator for Complicated Functions
TL;DR: This work proposes a generalized hardware accelerator called “Huicore” to speed up diverse functions on the same substrate, and reveals the commonality of many complicated functions using the CORDIC algorithm, which has small area, low power consumption and high precision.
Journal ArticleDOI
An iterative method for improving decimal calculations on computers
TL;DR: A modification of the CORDic method for decimal arithmetic is proposed so as to improve calculations and a significant reduction in the number of iterations in comparison to the original decimal CORDIC method is achieved.
Software-based geometry operations for 3D computer graphics
TL;DR: In this article, the efficiency of a CORDIC-augmented Sandbridge processor when implementing a vertex processor in software using fixed-point arithmetic has been analyzed for 3D renderings.
DissertationDOI
Optimized Biosignals Processing Algorithms for New Designs of Human Machine Interfaces on Parallel Ultra-Low Power Architectures
TL;DR: The research addresses typical challenges in wearable and implantable devices for diagnostic, monitoring, and prosthetic purposes, suggesting a methodology for tailoring such applications to cutting edge embedded architectures.
Dissertation
High-speed complex multiply and add operation using complex logarithmic number system
TL;DR: This thesis describes the design and VLSI implementation of a chip performing complex multiplication and addition in complex logarithmic number system using the new architecture and the design of Content Addressable Read Only Memory specifically designed for this work.
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.