Efficient function evaluations with lookup tables for structured matrix operations

K. Sobti, L. Deng, C. Chakraharti, N. Pitsianis, X. Sun, J. Kim, P. Mangalagiri, K. Irick, M. Kandemir, V. Narayanan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Scopus citations

Abstract

A hardware efficient approach is introduced for elementary function evaluations in certain structured matrix computations. It is a comprehensive approach that utilizes lookup tables for compactness, employs interpolations with adders and multipliers for their adaptivity to non-tabulated values and, more distinctively, exploits the function properties and the matrix structures to claim better control over numerical dynamic ranges. We demonstrate the effectiveness of the approach with simulation and synthesis results on evaluating, in particular, the cosine function, the exponential function and the zero-order Bessel function of the first kind.

Original languageEnglish (US)
Title of host publication2007 IEEE Workshop on Signal Processing Systems, SiPS 2007, Proceedings
Pages463-468
Number of pages6
DOIs
StatePublished - Dec 1 2007
Event2007 IEEE Workshop on Signal Processing Systems, SiPS 2007 - Shanghai, China
Duration: Oct 17 2007Oct 19 2007

Publication series

NameIEEE Workshop on Signal Processing Systems, SiPS: Design and Implementation
ISSN (Print)1520-6130

Other

Other2007 IEEE Workshop on Signal Processing Systems, SiPS 2007
CountryChina
CityShanghai
Period10/17/0710/19/07

All Science Journal Classification (ASJC) codes

  • Media Technology
  • Signal Processing

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    Sobti, K., Deng, L., Chakraharti, C., Pitsianis, N., Sun, X., Kim, J., Mangalagiri, P., Irick, K., Kandemir, M., & Narayanan, V. (2007). Efficient function evaluations with lookup tables for structured matrix operations. In 2007 IEEE Workshop on Signal Processing Systems, SiPS 2007, Proceedings (pp. 463-468). [4387592] (IEEE Workshop on Signal Processing Systems, SiPS: Design and Implementation). https://doi.org/10.1109/SIPS.2007.4387592