The problem of acoustic source position estimation in reverberant environments has been tackled in different ways. The authors have recently proposed a valid solution which shows good results even in very hard conditions in terms of reverberation. Although the estimator is indicated for a real-time implementation as long as it can be solved in a closed form, in this paper the authors present a simplified version of the estimator in order to significantly reduce the complexity of the previous realization. A direct comparison among the two estimators will be shown, additionally the estimator can be considered also a robust time difference of arrival estimator in the presence of reverberation.