Real-time waveforms averaging with controlled delays

Abstract

Repetitive waveforms are processed to produce an averaged replica of the waveforms by first determining a stream of digital samples, with random time shifts of waveform starts relative to the samples. A mutual arrangement of a trigger signal and a following sample over a succession of sampling periods, enables k sections coinciding with segments [k·T/K, (k+1)·T/K]. K is determined and a distance D between the trigger signal and the following sample is calculated. Second, values of the samples are transformed so that waveforms represented by the samples, are shifted in time by D in relation to the sample positions. The mutual positions of the delayed waveforms and the sampling clock along multiple axes, exactly repeats so that values of the produced samples along the axes coincide. The discreet time delays before averaging avoid frequency component distortions in resulting replicas of the waveforms.