Conventional location algorithms are based on the assumption that the sensor locations are exactly known.However
in practical situations
the sensor positions generally include random errors
which can considerably reduce the source localization accuracy.To tackle this problem
a multidimensional scaling analysis based time difference of arrival (TDOA) localization algorithm with sensor location errors is proposed.The proposed algorithm firstly constructs a symmetric matrix using the true sensor locations and TDOAs.Then a set of pseudo-linear equations with respect to the source position is formulated from the subspace theory.Finally
a weighting matrix is designed to mitigate the influence of the sensor location errors on the localization accuracy.The estimation bias and covariance matrix are derived by using first-order perturbation analysis.Simulation study validates the efficiency of the proposed algorithm.