Abstract The problem of least-squares linear filtering is explored for a specific type of networked systems, where the measurements are affected by random parameters and experience random delays and packet dropouts. To prevent network congestion, only one packet is transmitted per sampling interval. However, due to these phenomena, either a single packet, two packets, or no data at all may be received at each sampling time. In the latter case, the estimator compensates by utilizing a predicted value. An innovation-based method is used to derive a recursive filter that does not require the signal dynamics, but only some statistical properties (first-order and second-order moments) of the stochastic processes in the observation model.
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