Time delay estimator for frequency hopping system using rank-revealing triangular factorization

Abstract

In this paper, the multipath time delay estimation (TDE) problem for a slow frequency hopping (SFH) system using rank revealing QR factorization method (RRQR) is considered. It gives precious information about numerical rank and null space. By applying the RRQR in association with the well-known MUSIC algorithm we achieved a highly efficient estimator. The proposed methods would generate estimates of the unknown delay parameters. Such estimates are based on the observation and/or covariance matrices. Moreover, the RRQR does not require the eigenvalue decomposition (EVD) of the cross-spectral matrix (CSM) or singular value decomposition (SVD) of the data matrix of received signals. Computer simulations are also included to demonstrate the effectiveness of the proposed method.