The filtering problem is studied for a class of discrete-time systems under the effect of the networks. The investigated issues involved by the network include the consecutive packet dropouts and the one-step transmission delays which can be described by a sequence of mutually independent Bernoulli distributed stochastic variables. A full-order filter is designed such that the filtering error system is exponentially stable in the mean square and the performance is also achieved. Sufficient conditions are developed for the addressed problem and the desired filter is derived by means of the feasibility of certain linear matrix inequality. Numerical example is given to illustrate the effectiveness of the proposed method.

Due to wide frequency band, the long-distance communication is prone to be jammed by traditional radios. Furthermore, severe interference will lead to serious deterioration of performance. To solve this problem, the paper proposes energy-balance interference eliminated method and mixed communication algorithm, namely interference cancellation system model. The system elects a cluster head by utilizing the residual energy of nodes and the distance between cluster heads to balance the energy consumption and maximum the life cycle of the network. A Boolean vector corresponding to a random number defined is applied to this interference cancellation system. Experimental results show that under the premise of accurate channel estimation, systems using this technology to eliminate external interference in long-distance communication system have practical significance.