Robust Time-Delay Estimation in Impulsive Noise Using ℓp-Correlation

Time-delay estimation (TDE) is an important problem in radar target localization and range profile imaging. A common approach to TDE is matched filtering or equivalently cross-correlation, which is statistically optimal in white Gaussian noise. However, its performance greatly degrades in the presence of impulsive noise or non-Gaussian clutter. In this paper, a new concept called $\ell_{p}$-correlation $(0