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

Abstract

This paper introduces techniques to restore super-resolution time delay estimation (TDE) of signals in multi-path environments using the Matrix Pencil Method (MPM). To verify the proposed algorithm, estimation errors are evaluated and compared with traditional Multiple Signal Classification (MUSIC) and cross-correlation approaches. TDE uses cross-correlation to produce measurements. Cross-correlation is based on a single model that considers the ideal environment. At the same time, the measurement precision starts to deteriorate as two or more signals are progressively entered at times shorter than the time interval, requiring super-resolution for accurate time delay measurement. The results of the proposed super-resolution MPM algorithm provide better performance over conventional methods by accurately identifying and quantifying all components to their resolution limits and solving closely spaced frequencies.