A Super Resolution Algorithms for Time Delay Measurement

Abstract

Time Delay Estimation (TDE) has been studied for a long time in the field of signal processing, sonar, radar, seismic waves, and radio waves. This paper uses the Matrix Pencil Method to restore super-resolution Time Delay Estimation (TDE) of signals in multi-path settings (MPM). To validate the proposed algorithm, errors were measured and compared to the traditional Multiple Signal Classification (MUSIC) and cross-correlation methods. TDE uses cross-correlation to develop calculations based on a single model called the optimal environment, but the accuracy of measurements continues to deteriorate as two or three signals are gradually entered at times shorter than the time period, necessitating super-resolution accurate time delay calculations such as MPM and MUSIC. Through correctly identifying and quantifying all components to their resolution limits and solving closely spaced frequencies, the proposed super-resolution MPM algorithm outperforms conventional approaches.