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For the first part, the cluster processor receives signals from (M - 1)K UTs through all M BSs and the resulting Mn × (M - 1 Kn channel matrix is structured as follows: H R D 1 = Σ R D 1 ⊙ G M n × ( M - 1 ) K n with H R D 1 = H ̃ R D 1 α H ̃ H ̃ R D 1 β Σ R D 1 = Σ ̃ R D 1 α Σ ̃ Σ ̃ R D 1 β and Σ ̃ R D 1 α = [ α I n × K n 0 n × ( M - 2 ) K n ], Σ ̃ R D 1 β = [ 0 n × ( M - 2 ) K n I n × K n ]. (27).
For the second part, the cluster processor receives signals from MK UTs through M - 1 BSs and the resulting (M - 1 n ×MKn channel matrix is structured as follows: H R D 2 = Σ R D 2 ⊙ G ( M - 1 ) n × M K n with H R D 2 = H ̃ R D 2 H ̃ Σ R D 2 = H ̃ R D 2 Σ ̃ and Σ ̃ R D 2 = [ 2 I n × K n α I n × K n 0 n × ( M - 2 ) K n ], (31).
In the marginal model, it is popular to fit the vector of parameters, β, using the Generalized Estimating Equations (GEE) proposed by Liang and Zeger [ 10] wherein the covariance matrix is structured by using a working correlation matrix R fully specified by the vector of parameters, α.
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The population covariance matrix,, was structured such that all variables had a variance of and a correlation among the first 5 variables within the first 10 variable groups of.
Toeplitz and Hankel matrices are structured matrices used for compressive wide-band spectrum sensing schemes [47, 48] and for direction of arrival estimation [49].
According to this, in both scenarios, we want to estimate a BES matrix which is structured sparse and low rank, with its rank equal to the number of MAS simulated.
Although the certainty matrix reconstruction accuracy is not as high as random matrix, the certainty matrix can be structured quickly and easily for hardware implementation.
Then, the parameter vector p and the stoichiometric matrix S can be structured correspondingly as p = [ p I p D ] and S = [ S I S D ].
Because the Jacobian matrix is very structured, the characteristic polynomial of the Jacobian matrix is simple and suitable for analytical analysis.
Hence, exploiting the fact that the covariance matrix is Toeplitz structured, one can average along the secondary diagonals in order to obtain a set of more accurate estimates for the cross-covariances.
The textual data was structured in matrices, with column for different thematic areas, and rows that illustrated the themes.
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CEO of Professional Science Editing for Scientists @ prosciediting.com