A high speed random equivalent sampling method based on time-stretch

Random equivalent sampling is realized based on time stretch in this paper. Firstly, the measuring error of time stretch factor K is analyzed. Formulas are derived to describe the effect of measuring error of K and jitter on the waveform reconstruction. According to the formulas, multiple measurements are used to reduce the measuring error of K, and average filter is utilized to reduce the distortion introduced by jitter. The effectiveness of average filter is verified through simulation. And the proposed methods are implemented in digital oscilloscope, the experiment results prove that our method is useful and the equivalent sampling rate reaches 100GSPS.