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Adaptive segmentation methodology for hardware function evaluators

delete2018-07-01
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PRE
AI
J
J. M. Trejo-Arellano
J
Javier Vázquez‐Castillo *
O
Omar Longoria‐Gandara
R
Roberto Carrasco-Alvarez
C
Carlos Gutiérrez
A
Alejandro Castillo-Atoche
DOI:10.1016/j.compeleceng.2018.04.024delete
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Abstract

Abstract

En 中文
This paper presents a new adaptive function segmentation methodology to evaluate mathematical functions in hardware systems through piece-wise polynomial approximation methods. In contrast to conventional segmentation techniques, this methodology automatically adjusts the segmentation strategy through a function shape analysis based on the first- and second-order derivatives. Additionally, a particle swarm optimization algorithm is implemented to search for the best segmentation parameters that satisfy the designer-given signal-to-quantization-noise ratio specification and minimize the number of polynomials. The main advantages are a significant lookup table size reduction, increased approximation accuracy of highly nonlinear sections, and the automatic generation of a hierarchy-less segmentation solution. Hence, the proposed methodology enables efficient development of hardware accelerated surrogate models such as wireless channel emulators and other signal processing applications on inexpensive platforms that rely on fixed-point number representation as a compromise between performance, and output accuracy.
Keywords:
Function approximation
Piecewise polynomial
Hardware optimization
Polynomial segmentation
Mathematical functions
Function evaluators
Surrogate modeling
Particle swarm optimization
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C
Computers and Electrical Engineering
IF:
4.9
Papers:
6.7K
Citations:
1.3W

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universidad de guadalajara
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universidad autonoma de san luis potosi
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universidad de quintana roo
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131
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