Abstract
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From its introduction in the last decade, Affine Arithmetic (AA) has shown beneficial properties to speed up the times required by the computation procedures in a wide variety of areas. In the determination of the optimum set of finite word-lengths of the digital signal processing systems, the use of AA has been recently suggested by several authors, but the existing procedures provide pessimistic results. The aim of this paper is to present a novel approach to compute the Round-Off Noise (RON) using AA which is both, faster and more accurate, than the existing techniques and to justify that this type of computation is restricted to Linear Time-Invariant (LTI) systems. Due to the novel definition of the AA-based models, this is the first methodology that performs interval-based computation of the RON. The provided comparative results show that the proposed technique is faster than the existing numerical ones with an observed speedup ranging from 1.6 to 20.48, and that the application of discrete noise models obtains up to 5 times more accurate results than the traditional estimations. | |
International
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Si |
JCR
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Si |
Title
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IET Computers and Digital Techniques |
ISBN
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1751-8601 |
Impact factor JCR
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0 |
Impact info
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Volume
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2 |
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10.1049/iet-cds:20070198 |
Journal number
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4 |
From page
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393 |
To page
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408 |
Month
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AGOSTO |
Ranking
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