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Efficient function evaluations with lookup tables for structured matrix operations

Publication ,  Journal Article
Sobti, K; Deng, L; Chakraharti, C; Pitsianis, N; Sun, X; Kim, J; Mangalagiri, P; Irick, K; Kandemir, M; Narayanan, V
Published in: IEEE Workshop on Signal Processing Systems Sips Design and Implementation
December 1, 2007

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. ©2007 IEEE.

Duke Scholars

Published In

IEEE Workshop on Signal Processing Systems Sips Design and Implementation

DOI

ISSN

1520-6130

Publication Date

December 1, 2007

Start / End Page

463 / 468
 

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Sobti, K., Deng, L., Chakraharti, C., Pitsianis, N., Sun, X., Kim, J., … Narayanan, V. (2007). Efficient function evaluations with lookup tables for structured matrix operations. IEEE Workshop on Signal Processing Systems Sips Design and Implementation, 463–468. https://doi.org/10.1109/SIPS.2007.4387592
Sobti, K., L. Deng, C. Chakraharti, N. Pitsianis, X. Sun, J. Kim, P. Mangalagiri, K. Irick, M. Kandemir, and V. Narayanan. “Efficient function evaluations with lookup tables for structured matrix operations.” IEEE Workshop on Signal Processing Systems Sips Design and Implementation, December 1, 2007, 463–68. https://doi.org/10.1109/SIPS.2007.4387592.
Sobti K, Deng L, Chakraharti C, Pitsianis N, Sun X, Kim J, et al. Efficient function evaluations with lookup tables for structured matrix operations. IEEE Workshop on Signal Processing Systems Sips Design and Implementation. 2007 Dec 1;463–8.
Sobti, K., et al. “Efficient function evaluations with lookup tables for structured matrix operations.” IEEE Workshop on Signal Processing Systems Sips Design and Implementation, Dec. 2007, pp. 463–68. Scopus, doi:10.1109/SIPS.2007.4387592.
Sobti K, Deng L, Chakraharti C, Pitsianis N, Sun X, Kim J, Mangalagiri P, Irick K, Kandemir M, Narayanan V. Efficient function evaluations with lookup tables for structured matrix operations. IEEE Workshop on Signal Processing Systems Sips Design and Implementation. 2007 Dec 1;463–468.

Published In

IEEE Workshop on Signal Processing Systems Sips Design and Implementation

DOI

ISSN

1520-6130

Publication Date

December 1, 2007

Start / End Page

463 / 468