Kalman filtering with random coefficients and contractions
SIAM Journal on Control and Optimization
Almost Sure Stabilizability and Riccati's Equation of Linear Systems with Random Parameters
SIAM Journal on Control and Optimization
Stability of Kalman filtering with Markovian packet losses
Automatica (Journal of IFAC)
Source-channel communication in sensor networks
IPSN'03 Proceedings of the 2nd international conference on Information processing in sensor networks
Estimation Diversity and Energy Efficiency in Distributed Sensing
IEEE Transactions on Signal Processing
Distributed Detection in Wireless Sensor Networks Using A Multiple Access Channel
IEEE Transactions on Signal Processing
On the Feasibility of Distributed Beamforming in Wireless Networks
IEEE Transactions on Wireless Communications
A framework for uplink power control in cellular radio systems
IEEE Journal on Selected Areas in Communications
Mean square stability for Kalman filtering with Markovian packet losses
Automatica (Journal of IFAC)
On Kalman filtering over fading wireless channels with controlled transmission powers
Automatica (Journal of IFAC)
Optimal linear state estimation over a packet-dropping network using linear temporal coding
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Hi-index | 22.15 |
This paper considers a sensor network where single or multiple sensors amplify and forward their measurements of a common linear dynamical system (analog uncoded transmission) to a remote fusion center via noisy fading wireless channels. We show that the expected error covariance (with respect to the fading process) of the time-varying Kalman filter is bounded and converges to a steady state value, based on some earlier results on asymptotic stability of Kalman filters with random parameters. More importantly, we provide explicit expressions for sequences which can be used as upper bounds on the expected error covariance, for specific instances of fading distributions and scalar measurements (per sensor). Numerical results illustrate the effectiveness of these bounds.