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The problem of estimating and tracking time delay between signals received at two spatially separated sensors is essential in varied fields. For example, in the sonar system, the information of time delay can be used to localize the radiating source. In real-time processing, an adaptive time delay estimation (TDE) method with desired performance and less computational time is preferred. In this short paper, a simple and efficient method is suggested for TDE. This is done by employing a direct formula coupled with the adaptive LMS TDE algorithm. The advantage of the presented method, in terms of the accuracy as well as execution time, over the conventional lookup table method and interpolation formula method is shown in both the stationary and nonstationary time delay environments. Moreover, the capability of estimating time delay in an environment with multipath propagations is investigated.

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