Proceedings ArticleDOI
A unified algorithm for elementary functions
J. S. Walther
- pp 379-385
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
Application of Reconfigurable CORDIC Architectures
TL;DR: The goal is to create automatic tools to map applications directly to reconfigurable high-level arithmetic units such as CORDICs, based on a geometrical interpretation of a normalized ladder algorithm.
Journal ArticleDOI
Optimization of the Digital Near-Field Beamforming for Underwater 3-D Sonar Imaging System
Peng Chen,Xiang Tian,Yaowu Chen +2 more
TL;DR: This paper illustrates that the proposed approximation enlarges the validity region of the system's view scene as compared with the Fresnel approximation and has the advantage of reducing the memory requirements for parameter storage comparing with DM beamforming.
Journal ArticleDOI
Fixed-Point Analysis and Parameter Selections of MSR-CORDIC With Applications to FFT Designs
Sang Yoon Park,Ya Jun Yu +1 more
TL;DR: The fixed-point error analysis and parameter selections of MSR-CORDIC with applications to the fast Fourier transform (FFT) are presented and two different parameter selection algorithms are proposed for general and dedicated MSR, CORDIC structures.
Journal ArticleDOI
A new addition scheme and fast scaling factor compensation methods for CORDIC algorithms
TL;DR: This work presents speed enhancement techniques for CORDIC algorithms, covering algorithmic and implementation issues, and discusses speed limiting issues, namely addition techniques, appropriate number systems and scaling factor compensation with special emphasis on low latency time.
Proceedings ArticleDOI
Exploring the fidelity-efficiency design space using imprecise arithmetic
Jiawei Huang,John Lach +1 more
TL;DR: A general methodology for fidelity-efficiency design space exploration is presented and is applied to a case study implementing the CORDIC algorithm in 130nm technology, revealing that simple precision scaling often provides better power-delay efficiency for a given fidelity than more complex imprecise adders.
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.