Proceedings ArticleDOI
A unified algorithm for elementary functions
J. S. Walther
- pp 379-385
Reads0
Chats0
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
More filters
Proceedings ArticleDOI
CORDIC instruction set extensions for matrix decompositions on Software Defined Radio processors
TL;DR: COordinate Rotation DIgital Computer (CORDIC) instruction set extensions that speed up the QR Decomposition (QRD) and Singular Value Decompositions (SVD) of complex matrices that are used in several important communication algorithms.
Book ChapterDOI
Parametric architecture for function calculation improvement
TL;DR: The proposal argues for increasing the computing power at the primitive processing level in order to reduce the number of computing levels required to carry out the calculations in the case of combined trigonometric functions involved in the calculation of the Hough transform.
Proceedings ArticleDOI
A Cordic-based Floating-point Arithmetic Unit
TL;DR: A floating-point arithmetic unit based on the CORDIC algorithm that computes a wide range of arithmetic, trigonometric, and hyperbolic functions and achieves a normalized peak performancle off 220 MFLOPs is described.
Journal ArticleDOI
Area-Power Efficient Multi Staged Pipelined CORDIC Using Micro-Rotation Selection
TL;DR: A multi stage pipelined CORDIC architecture is compared and used for designing a flexible and scalable digital sine and cosine waves generator and an FPGA-based architecture is presented.
Area/Delay Efficient Recoding Methods for Parallel
Cordic Rotations,Tso-Bing Juang +1 more
TL;DR: An area/delay efficient recoding method for parallel CORDIC (COordinate Rotation DIgital Computer) rotation algorithm that can reduce the number of micro-rotation stages when the bit-width of input angle increases and predict the rotation direction directly from the binary value of the initial input angle.
References
More filters
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.