Abstract | ||
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Range reduction is a crucial step for the accuracy in trigonometric functions evaluation. A new pipelined architecture to deal with range reduction for floating point representation is presented in this paper. The algorithm is based on a look-up table storing the corresponding powers of 2 mod A. The overall design has been optimized for a modulo equal to 2驴, which is the most widely used due to trigonometric functions requirements. We provide an evaluation of different configurations and a full error propagation study which ensures an accuracy of one unit in the last place. |
Year | DOI | Venue |
---|---|---|
2008 | 10.1007/s11265-008-0166-x | Signal Processing Systems |
Keywords | Field | DocType |
pipelined architecture,range reduction,modular arithmetic,floating-point,redundant arithmetic | Architecture,Trigonometric functions,Propagation of uncertainty,Modulo,Floating point,Computer science,Modular arithmetic,Parallel computing,Arithmetic,Algorithm,Unit in the last place | Journal |
Volume | Issue | ISSN |
53 | 1-2 | 1939-8018 |
Citations | PageRank | References |
2 | 0.44 | 4 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Francisco J. Jaime | 1 | 16 | 3.92 |
Julio Villalba | 2 | 219 | 23.56 |
Javier Hormigo | 3 | 113 | 19.45 |
Emilio L. Zapata | 4 | 811 | 100.36 |