SVD-TLS Implementation of ESPRIT Method for Harmonic Retrieval

The SVD-TLS program implementation of the ESPRIT method for harmonic retrieval has been successfully developed and tested through simulation experiments on signal harmonic recovery. In these experiments, we conducted comprehensive performance analysis of various harmonic retrieval algorithms and compared their effectiveness using quantitative metrics. The implementation leverages singular value decomposition (SVD) for robust signal subspace estimation and employs total least squares (TLS) approach for enhanced parameter estimation accuracy. Our experimental results demonstrate that the SVD-TLS implementation of the ESPRIT method exhibits outstanding performance in harmonic retrieval applications. The algorithm effectively recovers harmonic components within signals with high precision and remarkable stability, utilizing eigenvalue decomposition of the signal covariance matrix and rotational invariance properties of harmonic signals. These findings provide valuable references for further research and practical applications of harmonic retrieval algorithms in signal processing systems.