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The paper deals with Kalman (or H2) smoothing problem for wireless sensor networks(WSNs) with multiplicative noises. Packet loss occurs in the observation equations,and multiplicative noises occur both in the system state equation and the observation equations. The Kalman smoothers which include Kalman fixed-interval smoother, Kalman fixedlagsmoother, and Kalman fixed-point smoother are given by solving Riccati equations andLyapunov equations based on the projection theorem and innovation analysis. An exampleis also presented to ensure the efficiency of the approach. Furthermore, the proposed threeKalman smoothers are compared

On Kalman Smoothing for Wireless Sensor Networks Systems with Multiplicative Noises