This article is dedicated to the study of the interpolative measurement of event occurrences based on the digital processing of a relaxation oscillator generated during the event occurrence. It is shown that the use of linear algorithms for estimating the performance of a regression oscillation wave train model allows one to guarantee picosecond accuracy of the interpolative measurements. The technique’s accuracy capabilities are illustrated by the results of actual measurements and computer modeling.

Precise Measurement of Event Flow Time Coordinates Based on the Digital Processing of a Triggered Relaxation Oscillator Wave Train

The features of discrete signal processing during the timing of events with interpolation based on phase measurements of harmonic oscillations are considered. It is shown that the parametric identification of the interpolator using methods of spectral estimation and linear algorithms of estimation of coefficients of the regression model provides picosecond accuracy in the measurement of time instants and intervals. The accuracy potential of the interpolation method based on the phase measurement results is illustrated by the results of actual calibration measurements and computer simulations.

Signal processing in a precision event timer with interpolation based on phase measurement

The features of the interpolation method of the measurement of the time instants based on digital processing of the samples of the reaction of a circuit of impact excitation are considered. The samples processing is the estimation of the coefficients of a regression function that approximates the damped oscillation. It is shown that a small number of samples has not the systematic error in nonlinear transformations. The accuracy capabilities of the method are illustrated by the results of the computational experiment.

V. Yu. Vedin

Papers

Precise Measurement of Event Flow Time Coordinates Based on the Digital Processing of a Triggered Relaxation Oscillator Wave Train

Precise events timing based on digital processing of the response of a harmonic oscillator

Signal processing in a precision event timer with interpolation based on phase measurement