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In this paper, we consider optimal linear sensor fusion for obtaining aremote state estimate of a linear process based on the sensor data transmittedover lossy channels. There is no local observability guarantee for any of thesensors. It is assumed that the state of the linear process is collectivelyobservable. We transform the problem of finding the optimal linear sensorfusion coefficients as a convex optimization problem which can be efficientlysolved. Moreover, the closed-form expression is also derived for the optimalcoefficients. Simulation results are presented to illustrate the performance ofthe developed algorithm.

Optimal Unbiased Linear Sensor Fusion over Multiple Lossy Channels with Collective Observability