Position detection with spherical interpolation least squares based on time difference of arrivals using separated acoustic signals by independent component analysis

In this study, locations of two sources have been detected using source signals separated with independent component analysis (ICA) method. The spherical interpolation least squares method which is based on the time difference of arrivals (TDOA) between the microphones is used for the solution of position detection. Although, there are different approaches and methods based on the TDOA for position detection, these methods presents a solution for a single source in general. In addition, the efficient signal separation is another problem when there are more than one target object in the sensor field. Therefore, the emitted signals which are received by the randomly distributed sensors (microphones) in the field are separated by ICA method. The source locations are found using the spherical interpolation least squares method regarding the signal groups which have the relative time differences between each other. The mean square error graphics and results are presented in the study for different signal to noise ratio values.