Deconvolution of physical data

Abstract

The observed output z(x) of a physical apparatus is assumed to be a weighted integral of the input f(x), the weighting function g(x) of the apparatus being known. This paper describes a convenient numerical method of determining f(x), based on expanding z(x) and g(x) in Fourier series, having regard to the noisy nature of actual observations.

Mass spectrometric study of ion-pair processes in diatomic molecules: H2, CO, NO and O2

“…The use of the deconvolution of the ionization efficiency curves based on Fourier transforms 11,12 is limited by the height of the noise level on experimental recordings. Recently an iterative method including noise smoothing has been successfully used by MacNeil and Thynne 13 .…”

Quantum information metric and Berry curvature from a Lagrangian approach

“…On the other hand it is interesting to observe that within the approach of Provost and Vallee [1] both structures are part of the same geometrical structure, a complex quantum geometric tensor, whose real part corresponds to the quantum information metric, while its imaginary part corresponds to the Berry curvature. However, in the usual treatments both entities are calculated differently, see for example [14] and [8]. In this article, within a Lagrangian approach recently introduced in [15] and further developed in [16,17], we consider how to give a unified treatment of the quantum information metric and the Berry curvature.…”

Correlation Methods in Chemical Data Measurement

“…An early paper by Bracewell and Roberts (1954) dealing with applications to radio astronomy is an excellent introduction to deconvolution methods . Numerous other authors have studied deconvolutjon methods (Jones et al , 1967;Jansson et al , 1968;Dromey and Morrison , 1970;Izatt , 1969;Moore , 1968;Saksena , 1968;Viadimeroff , 1911;Szoke , 1972; Horlick , ].972b; Brouwer and Jansen , 1973;Stockham az~d Cannon , * 1975). The last authors (Stockham and Cannon , 1975) …”