Kolmogorov-Smirnov method for the determination of signal time-shifts

TL;DR

This paper introduces a fast, noise-robust Kolmogorov-Smirnov-based method for accurately determining electric signal time-shifts, suitable for real-time applications across various signal ranges.

Contribution

It presents a novel application of the Kolmogorov-Smirnov test for signal time-shift measurement, emphasizing speed and robustness for online use.

Findings

Method is very fast and suitable for online applications.

Achieves high precision for a wide range of time-shifts.

Robust to noise, maintaining accuracy in challenging conditions.

Abstract

A new method for the determination of electric signal time-shifts is introduced. As the Kolmogorov-Smirnov test, it is based on the comparison of the cumulative distribution functions of the reference signal with the test signal. This method is very fast and thus well suited for on-line applications. It is robust to noise and its performances in terms of precision are excellent for time-shifts ranging from a fraction to several sample durations. PACS. 29.40.Gx (Tracking and position-sensitive detectors), 29.30.Kv (X- and -ray spectroscopy), 07.50.Qx (Signal processing electronics)