TAILIEUCHUNG - Factory Automation Part 5

Tham khảo tài liệu 'factory automation part 5', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 152 Factory Automation When network routing is considered for WSN with N sensor nodes and L links between nodes the routing matrix R is defined by an L X N matrix shown in 2 . 1 if link l is in any path of source node k 2 0 otherwize where l e 1 L and k e 1 N R k I System Modeling In the above application framework we consider the system with N end devices making joint measurement for unknown signals x such as location. The system dynamic model is defined in 3 with zero mean Gaussian noise ệ k at discrete time k and A is dynamic characteristics matrix for the system. x k 1 Ax k ệ k 3 Let the observation from node i i 1 2 .N be yi where observation noise Vi is a 2 Gaussian noise with zero mean and observation error covariance matrix is ơị for each node i . Suppose h is observation characterization matrix where h y gi yjg2 . ựgn T and th gi is the channel power gain for the i node transmission. The system observation model is defined in 4 . y hx V VI i 4 If wireless communication is considered between any two nodes the channel noise is Gaussian noise with zero mean with error covariance ữf . Hence the joint estimation given by best linear unbiased estimator BLUE for x is given by 5 . N Ọ- N x fezr Hr - i 1 v iSi i 1 v iSi The mean square error MSE for the joint estimation is given by 6 . S var x Y i 1 iSi i 5 6 -1 When network congestion control is taken into consideration we define link capacity vector c C1 Cl T for all L links and source rate vector s S1 Sn T for all N nodes. The following relationship 7 should be satisfied. Rs c 7 Wireless Sensor Networks for Networked Manufacturing Systems 153 Link capacity is function of the signal-to-noise ratio SNR denoted as 8 . ci log 1 t . St iPi where pt -------- A St kPt t l k 8 The source rate shall also maintain the threshold II 5 11 S0 in order to keep certain quantization level and reduce the distortion while power usage should be kept to certain limitation I p P0 to maintain the network lifetime. System .

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