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Abstract

In this work we present the first Bernoulli number for reactivity calculation with the Savitzky-Golay filter in order to reduce fluctuations that are present in the neutron density signal; this filter uses the second degree polynomial approximation of Gram d=2, with different widths of the sampling window between N=25 y N=225. The fluctuations are simulated numerically considering noise with a Gaussian distribution around a mean value for the neutron density, with different standard deviations. We compare the numerical experiments using the proposed method and the Savitzky-Golay filter with the different filters reported in the literature, such as the first order delayed low-pass filter and the exponential filter.