Restoration of dynamically distorted signal using the theory of optimal dynamic measurements and digital filtering

The report presents results of using the digital filters in numerical algorithms for the problem of restoration of the dynamically distorted signal from the observed one knowing the transfer function of the measuring transducer based on the spline method. Two approaches were used to reconstruct the dynamically distorted incoming signal in the presence of interference of different nature. In the first one, the moving average filter or the Savitsky–Goley filter were used. The second approach presents a new numerical algorithm, according to which the reconstructed signal is a result of averaging of approximate optimal dynamic measurements obtained by combining the spline method and the sampling theorem. The report presents the results of computational experiments of each approach on a data set obtained during bench tests of the pressure sensor. To demonstrate the effectiveness of the proposed methods the numerical results are compared with the data of the control sensor.