Joint Time Delay and Frequency Estimation Without Eigen-Decomposition

Abstract

Abstract-In this letter, we addressed the problem of estimating the time delay and the frequencies of noisy sinusoidal signals received at two spatially separated sensors. We employ the Propagator Method (PM) in conjunction with the well-known MUSIC/ root-MUSIC algorithm; the proposed method would generate estimates of the unknown parameters. Such estimates are based on the observation and/or covariance matrices. Moreover, the PM does not require the eigenvalue decomposition (EVD) or singular value decomposition (SVD) of the cross-spectral matrix (CSM) of received signals; therefore, a significant improvement in computational load is achieved. Computer simulations are also included to demonstrate the effectiveness of the proposed method.Index Terms-Delay and frequency estimation, MUSIC, propagator method, root-MUSIC.

Rank Revealing QR Factorization for Jointly Time Delay and Frequency Estimation

“…Fig. 1 plots the MSE of frequency estimation for the proposed algorithm and compared with previous work [5], [7]. The proposed algorithm achieved approximately 15dB enhancement compared to [5] (SNR > 0dB) and slight improvement with respect to our previous work [7].…”

“…Similarly, frequency estimation [3], [4] has been universally addressed in signal processing literature. Later, these two separated problems were combined as a joint time delay and frequency estimation problem [5], [6], [7], which appeared in many applications like synchronization in code division multiple access (CDMA) systems, speech enhancement, and pitch estimation using a microphone array.…”

“…The development of the proposed method is presented in Section III. In Section IV, the performance of the RRQR is illustrated and comparison with the previous work [5], [7] is made through MATLAB simulations. Finally, some concluding remarks follow in Section V.…”

Subsample time delay estimation of chirp signals using FrFT

“…The generalized crosscorrelator (GCC) [1] is the most conventional approach to the problem, and it has been proved that the GCC can provide maximum likelihood (ML) delay estimation. Besides the more robust and sophisticated methods based on GCC [2][3][4], there are several other time delay estimation approaches using the adaptive technique [5,6], Hilbert Transform [7], SOS (Second Order Statistics) [8][9][10], and HOS (High Order Statistics) [11][12][13], etc.…”

Joint time delay, frequency and amplitude estimation using iterative prefiltering method

“…Exploiting this link, a trilinear decomposition-based joint time delay and frequency estimation method was derived. In [5] the Propagator Method (PM) in conjunction with the MUSIC/root-MUSIC algorithm was employed to generate the estimates of the unknown parameters without eigen decomposition.…”