Table-based Recursive Method for Function Evaluation
María Teresa Signes Pont, Gregorio de Miguel Casado, Higinio Mora, Juan Manuel García‐Chamizo, Theodore E. Simos, George Psihoyios, Ch. Tsitouras · AIP conference proceedings · 2007
This paper presents a new approach to the function evaluation using tables. The proposal argues for the use of a more complete primitive, namely a weighted sum, which converts the calculation of the function values into a recursive operation defined by a two input table. The weighted sum can be tuned for different values of the weighting parameters which hold the features of the particular evaluated function. The implementation can be achieved with a very simple circuit. The computational throughput is related to both the table size and the number of parallelization levels. Tn what concerns to the calculation error, two main trends can be considered if round‐off is performed or not. It seems that the calculation carried out by means of a table‐based recursive method provides efficient designs that can be tailored to the application requirements. Our method outlines advantages when compared with other well‐known proposals because it provides memory and hardware resource saving as well as a good trade‐off between speed and error.