A Bit-Width Optimization Methodology for Polynomial-Based Function Evaluation

We present an automated bit-width optimization methodology for polynomial-based hardware function evaluation. Due to the analytical nature of the approach, overflow protection and precision accurate to one unit in the last place (ulp) can be guaranteed. A range analysis technique based on computing...

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Vydáno v:IEEE transactions on computers Ročník 56; číslo 4; s. 567 - 571
Hlavní autoři: Lee, Dong-U, Villasenor, John D.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.04.2007
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN:0018-9340, 1557-9956
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Shrnutí:We present an automated bit-width optimization methodology for polynomial-based hardware function evaluation. Due to the analytical nature of the approach, overflow protection and precision accurate to one unit in the last place (ulp) can be guaranteed. A range analysis technique based on computing the root of the derivative of a signal is utilized to determine the minimal number of integer bits. Fractional bit requirements are established using an analytical error expression derived from the functions that occur along the data path. Global fractional bit optimization across multiple computation stages is performed using simulated annealing and circuit area estimation functions
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ISSN:0018-9340
1557-9956
DOI:10.1109/TC.2007.1013