$(M,p,k)$ -Friendly Points: A Table-Based Method to Evaluate Trigonometric Function
| Autor: | Milos D. Ercegovac, Nicolas Brisebarre, Dong Wang, Jean-Michel Muller |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | IEEE Transactions on Circuits and Systems II: Express Briefs. 61:711-715 |
| ISSN: | 1558-3791 1549-7747 |
| DOI: | 10.1109/tcsii.2014.2331094 |
| Popis: | Linear (order-1) function evaluation schemes, such as bipartite and multipartite tables, are usually effective for low- precision approximations. For high-output precision, the lookup table size is often too large for practical use. This brief investigates the so-called (M,p,k) scheme that reduces the range of an input argument to a very small interval so that trigonometric functions can be approximated with very small lookup tables and a few additions/subtractions. An optimized hardware architecture is presented and implemented in both a field-programmable gate array device and standard-cell-based technology. Experimental results show that the proposed scheme achieves more than a 50% reduction in total chip area compared with the best linear approach for a 24-bit evaluation. |
| Databáze: | OpenAIRE |
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