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    This study introduces a weighted optimization-based distributed Kalman filtering (KF) algorithm to improve nonlinear target tracking in sensor networks. The new method enhances data availability for accurate model noise covariance estimation, outperforming traditional approaches.

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    Area of Science:

    • Signal Processing
    • Control Systems
    • Networked Systems

    Background:

    • Nonlinear target tracking in collaborative sensor networks is vital.
    • Accurate identification of nonlinearity and coupling is essential.
    • Adaptive Kalman filtering (KF) methods struggle with rapidly changing nonlinear systems due to large data window requirements.

    Purpose of the Study:

    • To propose a novel weighted optimization-based distributed KF algorithm (WODKF).
    • To address the limitations of traditional KF methods in nonlinear, rapidly changing environments.
    • To enhance model noise covariance estimation for improved tracking accuracy.

    Main Methods:

    • The WODKF algorithm expands data size using measurements and estimates from connected sensors.
    • A new cost function, a weighted sum of state bias and oscillation, is introduced for model noise covariance estimation.
    • Polynomial fitting and an exhaustive method are used to compute the optimal model noise covariance.
    • Sensor selection is incorporated to reduce computational load and increase scalability.
    • Local probability data association is employed for multitarget tracking.

    Main Results:

    • The WODKF algorithm effectively estimates model noise covariance by leveraging distributed sensor data.
    • Simulations demonstrate the feasibility and superiority of WODKF compared to other filtering algorithms.
    • The algorithm shows robust performance in tracking random signals and multiple nonlinear targets.

    Conclusions:

    • The proposed WODKF algorithm offers a practical and superior solution for nonlinear target tracking in collaborative sensor networks.
    • The method overcomes the limitations of traditional adaptive KF by utilizing distributed data effectively.
    • WODKF enhances tracking accuracy and network scalability for a wide range of systems.