Title :
Hardware reciprocation using degree-3 polynomials but only 1 complete multiplication
Author :
Tisserand, Arnaud
Author_Institution :
Univ. Montpellier 2, Montpellier
Abstract :
This paper presents a dedicated operator for the reciprocal evaluation in hardware. It uses a degree-3 polynomial approximation that only requires one complete multiplication and a small number of additions or subtractions. The polynomial approximation is determined using a specific method for the choice of the coefficients and the splitting of the input interval. This leads to small and fast FPGA implementations.
Keywords :
field programmable gate arrays; polynomial approximation; FPGA implementation; complete multiplication; degree-3 polynomial approximation; field programmable gate arrays; hardware reciprocal evaluation; hardware reciprocation; Application software; Approximation error; Costs; Digital circuits; Field programmable gate arrays; Frequency; Function approximation; Hardware; Minimax techniques; Polynomials;
Conference_Titel :
Circuits and Systems, 2007. MWSCAS 2007. 50th Midwest Symposium on
Conference_Location :
Montreal, Que.
Print_ISBN :
978-1-4244-1175-7
Electronic_ISBN :
1548-3746
DOI :
10.1109/MWSCAS.2007.4488593
