Improving the projection method for TOA source localization in the presence of sensor position errors

This paper develops a closed-form solution that improves the projection matrix method for time of arrival (TOA) source localization in the presence of sensor position inaccuracy. The projection approach is attractive because it does not require the use of an extra variable as in the traditional closed-form solution. Compared with the previous projection method, the proposed algorithm offers a closed-form solution and at the same time attains the Cramer-Rao lower bound (CRLB) performance for Gaussian noise over the small noise region. The performance of the proposed method is validated by simulations.