Function approximation on decimal operands

Sánchez-Romero, José-Luis; Mora, Higinio; Mora-Pascual, Jerónimo; Jimeno-Morenilla, Antonio

doi:10.1016/j.dsp.2010.06.013

Digital Signal Processing

2011

DOI: 10.1016/j.dsp.2010.06.013

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Function approximation on decimal operands

José-Luis Sánchez-Romero

Higinio Mora

Jerónimo Mora-Pascual

et al.

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Cited by 3 publications

References 41 publications

(46 reference statements)

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Advancements in number representation for high-precision computing

Mora,

Signes-Pont,

López

et al. 2023

J Supercomput

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Efficient representation of data is a fundamental prerequisite for addressing computational problems effectively using computers. The continual improvement in methods for representing numbers in computers serves as a critical step in expanding the scope and capabilities of computing systems. In this research, we conduct a comprehensive review of both fundamental and advanced techniques for representing numbers in computers. Additionally, we propose a novel model capable of representing rational numbers with absolute precision, catering to specific high precision applications. Specifically, we adopt fractional positional notation coupled with explicit codification of the periodic parts, thereby accommodating the entire rational number set without any loss of accuracy. We elucidate the properties and hardware representation of this proposed format and provide the results of extensive experiments to demonstrate its expressiveness and minimal codification error when compared to other real number representation formats. This research contributes to the advancement of numerical representation in computer systems, empowering them to handle complex computations with heightened accuracy, making them more reliable and versatile in a wide range of applications.

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Advancements in number representation for high-precision computing

Mora,

Signes-Pont,

López

et al. 2023

J Supercomput

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A new area-efficient BCD-digit multiplier

Castillo

Lloris

Morales

et al. 2017

Digital Signal Processing

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An approach to the application of shift-and-add algorithms on engineering and industrial processes

Sánchez-Romero

Jimeno-Morenilla

Molina-Carmona

et al. 2013

Mathematical and Computer Modelling

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Function approximation on decimal operands

Cited by 3 publications

References 41 publications

Advancements in number representation for high-precision computing

Advancements in number representation for high-precision computing

A new area-efficient BCD-digit multiplier

An approach to the application of shift-and-add algorithms on engineering and industrial processes

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