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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Book ChapterDOI
FPGA optimizations for a pipelined floating-point exponential unit
TL;DR: The design and implementation of a pipelined CORDIC/TD-based (COrdinate Rotation DIgital Computer/Table Driven) Exponential Approximation Unit (EAU) and a general framework for safely conducting application-specific optimizations of floating-point operators on FPGAs is presented.
Proceedings ArticleDOI
On-Line Schemes For Computing Rotation Angles For SVDS
Milos D. Ercegovac,Tomas Lang +1 more
TL;DR: Two floating-point radix-2 schemes using on-line arithmetic for implementing the direct two-angle method for SVDs are presented and the fastest of the schemes is the fastest but requires a relatively large number of modules.
Journal ArticleDOI
CORDIC-based window implementation to minimise area and pipeline depth
Supriya Aggarwal,Kavita Khare +1 more
TL;DR: This study presents a field-programmable gate array implementation of various window functions using coordinate rotation digital computer (CORDIC) algorithm to minimise area-delay product and proposes a new generalised technique for micro-rotation sequence identification to reduce the number of iterations required by the pipelined CORDIC processor.
Proceedings ArticleDOI
QRD and SVD processor design based on an approximate rotations algorithm
TL;DR: A modification to the original approximate rotations algorithm to simplify the method of optimal angle selection is proposed, and analysis shows that fewer iterations of the approximateRotations algorithm are required compared with the conventional CORDIC algorithm to achieve similar degrees of accuracy.
Transmitter architectures with digital modulators, D/A converters and switching-mode power amplifiers
TL;DR: The dissertation consists of a monograph Article dissertation (summary + original articles) and an opponent(s) supervisor Instructor Abstract for the defence of the defence.
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.