Dependence of the current measurement step at adaptive time sampling in case of signal restoration with extrapolation polynom of first degree
Abstract
Dependence of the current measurement step at adaptive time sampling in case of signal restoration with extrapolation polynom of first degree
Incoming article date: 20.05.2017Efficiency of algorithms of adaptive time sampling (ATS) is defined by signal compressibility. For a theoretical assessment compressibility of measuring signals dependence of the current step of measurement at ATS from dynamic properties of a signal is considered. Restoration of a signal in the course of ATS is made by an extrapolation polynom of Taylor of the first degree. Quality of approximation is established by criterion of uniform approach. For structural model of a signal the functional dependence of the current step of measurement on structural properties of a signal allowing determining on its basis the average duration of a step of measurement at ATS for expanded area of an admissible error of reproduction is received. The results received in the environment of Mathcad, illustrating restoration of a signal a polynom of the first degree, the discrete phase schedule and the current step of measurement corresponding to him on the phase plane are given as an example.
Keywords: Adaptive time sampling, measurement step, signals structural features, extrapolation, playback accuracy