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dc.contributor.authorNagayama, Shinobu
dc.contributor.authorSasao, Tsutomu
dc.contributor.authorButler, Jon T.
dc.dateMay 23-25, 2011
dc.date.accessioned2013-09-03T22:33:02Z
dc.date.available2013-09-03T22:33:02Z
dc.date.issued2011-05
dc.identifier.citationS. Nagayama, T. Sasao, and J.T. Butler, "Numeric function generators using piecewise arithmetic expressions," International Symposium on Multiple-Valued Logic (ISMVL-2011), Tuusula, Finland, May 23-25, 2011, pp.16-22.
dc.identifier.urihttp://hdl.handle.net/10945/35841
dc.descriptionInternational Symposium on Multiple-Valued Logic (ISMVL-2011), Tuusula, Finland, May 23-25, 2011, pp.16-22.en_US
dc.descriptionThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. As such, it is in the public domain, and under the provisions of Title 17, United States Code, Section 105, may not be copyrighted.en_US
dc.description.abstractThis paper proposes new architectures for numeric function generators (NFGs) using piecewise arithmetic expressions. The proposed architectures are programmable, and they realize a wide range of numeric functions. To design an NFG for a given function, we partition the domain of the function into uniform segments, and transform a subfunction in each segment into a arithmetic spectrum. From this arithmetic spectrum, we derive an arithmetic expression, and realize the arithmetic expression with hardware. Since the arithmetic spectrum has many zero coefficients and repated coefficients, by storing only distinct nonzero coefficients in a table, we can significantly reduce the table size needed to store arithmetic coefficients. Experimental results show that the table size can be reduced to only a small percent of the table size needed to store all the arithmetic coefficients. We also propose techniques to reduce table size further and to improve performance.en_US
dc.titleNumeric function generators using piecewise arithmetic expressionsen_US
dc.typeArticleen_US
dc.contributor.departmentDepartment of Electrical and Computer Engineering
dc.subject.authornumeric function generatorsen_US
dc.subject.authorpiecewise arithmetric expressionsen_US
dc.subject.authornonzero arithmetic coefficientsen_US
dc.subject.authorprogrammable architecturesen_US


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