Noise-Robust Least-Squares Method in TDOA Estimation of a Source Location

The determination of the target position between a sensor and signal arrival is essential in various spheres of life, including telecommunication and military sectors. In this case, several sensors for detecting sound or other signals in space are used to estimate the position of a source emitting a signal. Typical methods for determining the location of a target often encounter problems when there is noise in the place of the sensors. This paper proposes the least-squares error method that applies the concept of correntropy. The process can robustly detect distortion in the position of the sensors and noise produced by them and could thus be used to estimate the target location. Experiments suggest that the method proposed here is superior to the standard least-squares method. Therefore, the innovations implemented include the provision of a new cost function that uses the concept of correntropy by the term exp, which results in higher resistance to noise in the transmitted data and the positions of the sensors. The technique's performance could be enhanced as a result of the presented method based on convergence rate and reduction of errors. The proposed approach is applicable to signal and instrumentation calculation noises that broaden the sound output time difference.