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Exact(4)
The vector denotes the vector of, with being the signal of node which follows.
The vector is equal to (x0,..., xN-1 T, xN-1 T i the transmit signal of node Si that followith
Similarly, the received signal of node D is (r_{2}(t)=(mathbf {v_{D}^{intercal }H_{A,D}u_{A}})s_{1}(t)+(mathbf {v_{D}^{intercal }H_{C,D}u_{C}})s_{2}(t)+mathbf {v_{D}^{intercal }n}) where H A,D and H C,D are the channel coefficient matrices between receiving node D and transmitting nodes A and C, respectively.
If we denote the transmit signal of node S i in the ℓth snapshot by (X^{ell }_{mathsf {S}_{i}}), then if (mathbf {T}_{mathsf {S}_{i}}(j) = 1phantom {dot {i}!}) and c T+1≤j<(c+1)T for c=0,1,…,L−1, then S i communicates (X^{c+1}_{mathsf { S}_{i}}).
Similar(55)
Therefore, using the previous procedure, the clock signal of nodes in cluster is only roughly estimated (on the basis of the time ).
In a PULN, the output signal of the node is transferred to another node by multibranches with arbitrary time delay which is random and its probabilistic characteristic can often be measured by the statistical methods.
That is, the transmitters of this set of links can cause interference to the signal reception of node u.
The interference range of SU i, ρ Si, is defined as the distance between SU i and node r, out of which the interference of SU i 's transmission to the signal reception of node r can be ignored.
It is worth mentioning that for a perfect synchronization, the clock signal of the node in cluster should be set to be in phase with the clock signal of the node in cluster, so that the active states can overlap.
Unlike the nonobserver-based dynamical networks, where the coupling between two connected nodes is defined by an inner coupling matrix and full state coupling is typically needed, in this paper, smaller amount of coupling variables or even only a scalar output signal of each node is needed to synchronize the network.
Let S M1 denote the signal of mobile node.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com