Filtering of pulses from particle detectors by means of Singular Value Decomposition (SVD)

Abstract

This paper presents a novel methodology to filter pulses coming from particle detectors. It is based on variable-in-time convolutions in which one of the operands is the input pulse and the other is a vector that changes with every convolution step. This is equivalent to multiply every incoming pulse by a filtering matrix. The coefficients of this matrix are computed by applying a Singular Value Decomposition (SVD) factorization over a set of training pulses. A detailed explanation of this SVD-filtering methodology, a noise filtering analysis, simulations and filtering of pulses coming from a neutron monitor were carried out to verify its feasibility.