Efficiency 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
The efficiency of algorithms for adaptive time sampling (ATS) compared to the uniform time sampling (UTS) is defined in this property the analog signal as its compressibility. In order theoretical estimates of the compressibility of the measuring signals discusses the dependence of the current beat of the measure under ideal in terms of quality playback ATS from the dynamic properties of the signal. Signal recovery after ATS is made by extrapolation by a polynomial of n-th degree. The quality of approximation is determined according to the criterion of uniform approximation. For the extended area of the margin of error of reproduction is proposed as the dynamic properties of the signal to use its structural properties. In the case of a polynomial of the 0-th degree obtained functional dependence of the current measure measurement of the structural properties of the signal, allowing it to determine the average quantum duration of the measurement for ATS.
Keywords: Analog-to-digital conversion, adaptive time sampling, cycle measurement, coefficient of reducing the number of samples, the structural properties of the signal