An Efficiency-Improved Tdoa-Based Direct Position Determination Method For Multiple Sources

It is well known that the direct position determination (D-PD) method outperforms the most common two-step localization method when the signal-to-noise ratio (SNR) is low. The advantage comes from the fact that the DPD method avoids estimating the intermediate parameters for localization. However, the DPD method has heavy computation load because of depending on exhaustive searching, especially in the multiple sources localization scenario where the problem is a high-dimensional optimization problem. In this paper, we constructed a cost function using the orthogonal relationship between received signals and noise. We reveal that the nature of the cost function is to verify the column-correlation of the matrix. Finally, we got the Determinant-based cost function which is more efficient and requires less computation resources in searching phase.