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
Reduced Latency Square-Root calculation for Signal Processing using Radix-4 Hyperbolic CORDIC
Aishwarya Kumari,D. P. Acharya +1 more
TL;DR: The usage of CORDIC algorithm is extended from trigonometric mode, which has been the primary use of it from a very long time, to hyperbolic mode for fast and efficient computing of Square-Root of a number.
Proceedings ArticleDOI
Design and Implementation of Autoencoder-LSTM Accelerator for Edge Outlier Detection
TL;DR: In this paper, the authors describe the implementation of a real-time outlier detection that uses an Autoencoder-LSTM neural-network accelerator implemented on the Xilinx PYNQ-Z1 development board.
Proceedings ArticleDOI
Super-CORDIC: An approximation based parallel and redundant CORDIC algorithm
Tushar Supe,David M. Anderson +1 more
TL;DR: An optimized and generalized Co-ordinate Rotation Digital Computer (CORDIC) algorithm in the rotation mode of the circular co-ordinate system that computes the values of trigonometric functions and can be configured to provide the result with a lower overall latency than existing systems.
Patent
Accuracy improvement in cordic through precomputation of the error bias
TL;DR: In this paper, an error introduced by a truncated vector as a result of executing the CORDIC algorithm is pre-computed and incorporated into a subsequent iteration of the algorithm.
Proceedings ArticleDOI
An enhanced mixed-scaling-rotation CORDIC algorithm with weighted amplifying factor
Jaina M. Mehta,Pratik Trivedi +1 more
TL;DR: The novelty of the paper lies in redefining the amplifying factor by multiplying the rotational sequences to the corresponding signed-power-of-two (SPT) terms to offer a better alternative to MSR-CORDIC without additional hardware complexity.
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.