Time difference localization in the presence of outliers

TDOA source positioning in the presence of outliers

“…Intuitively, the positive parameter β plays the role of punishing the second term in (10) and forcing the outlier vector o to be sparse. The outlier-robust localisation estimate using sparse representation is obtained by…”

“…The development of the aforementioned TDOA localisation techniques such as those from [6,7] normally assumes that TDOA measurements are contaminated by Gaussian noise. However, in practice, TDOAs may also be subject to large errors/biases due to jamming, interference, impulse noise, sensor synchronisation failure and the non-line-of-sight (NLOS) propagation of the source signal [10,11]. In this work, such TDOA measurements contaminated with large errors are referred to as outliers, and TDOAs corrupted by random Gaussian noises are called inliers.…”

Multi-source passive localization via multiple unmanned aerial vehicles

“…基于多无人机协作的 CWLS 多目标定位问题 (16), 其数学模型是带 m 个二次不定等式约束的二 次规划问题, 该问题理论上是一个 NP-hard 的非凸优化问题 [26] . 在 CWLS 单目标定位问题中, 由于 其仅含有一个二次不定等式约束, 文献 […”

An efficient convex constrained weighted least squares source localization algorithm based on TDOA measurements

“…Note that the objective function of the AML estimator in (12) is equivalent to that of the WLS estimator, because of the linear model (6) and Gaussian distributed measurement noise in (7). The strategy of incorporating the relationship between u and r 1 as a second order equality constraint in the WLS estimator is called CWLS source localization [20].…”