Super Resolution Time Delay Estimation in Multipath Environment Using Matrix Pencil Method

Abstract

Analysis of efficient electromagnetic waves is a very important problem in many fields. Among them, the problem of Time Delay Estimation (TDE) has been studied for a long time in the field of signal processing, sonar, radar, seismic waves, as well as the field of radio waves. This paper explores techniques for restoring super-resolution Time Delay Estimation (TDE) of signals in multi-path environments using the Matrix Pencil Method (MPM). To validate the proposed algorithm, errors were estimated and compared to the standard Multiple Signal Classification (MUSIC) and cross-correlation strategies. TDE uses cross-correlation to generate measurements based on a single model that is called the optimal world, but the precision of measurements tends to deteriorate as two or more signals are increasingly entered at times shorter than the time-period, necessitating super-resolution precise time delay calculation such as MPM and MUSIC. In this paper, a super-resolution TDE for signal spectra with data model estimation is proposed based on the MPM algorithm. The proposed Matrix Pencil Method is an adaptive super-resolution TDE algorithm that allows a single snapshot to estimate time delay measurements. Based on generalized MUSIC algorithms, a super-resolution time delay estimate is demonstrated.