Exact(3)
The solution we describe is based on a classical combinatorial problem, the sandwich consecutive ones matrix.
The minimum MIMO capacity is obtained when (mathbf {HH}^{H} = n_{t}mathbf {1}_{n_{r}}), where (mathbf {1}_{n_{r}}) is an n r ×n r all ones matrix.
This problem was introduced by Golumbic and Wassermann (1998) and Golumbic (1998), under the names 'sandwich interval hypergraph' or 'sandwich consecutive ones matrix'.
Similar(56)
Moreover, these algorithms only work on simple profile with one single matrix component.
Data collected through interviews were recorded in an information flow matrix:one matrix on the demand for information and a second one on the supply of information.
Most available results are based on the assumption that at least one matrix is symmetric [7, 8, 11, 12].
If we model the conformal array based on the Euler angle, three matrix multiplications and one matrix transposition are required for each element.
One matrix comprised genetic distances (ΦST values based on pairwise differences) and the other geographic distances (shortest long-shore distances among estuarine populations).
We prove that the principal part of the first eigenmatrix of X is a linear combination of an incidence matrix of a symmetric design and the all-ones matrix.
Therefore the topology matrix is T_{mathcal{G}bulletmathcal{H}}=T_{mathcal{G}}otimesmathbb {I}_{N_{mathcal{H}}}+ mathrm {Id}_{N_{mathcal{G}}}otimes T_{mathcal{H}} where (mathbb{I}_{N_{mathcal{H}}}) is the (N_{mathcal {H}}times N_{mathcal{H}}) all-ones matrix.
Moreover, these derivations could, also, approximate that of the Rician channels when the mean channel matrix is of rank 1; this could be satisfied when all channel vectors have the same mean value or in some other practical scenarios where the line-of-sight (LOS) component of the channel matrix approaches the scaled all-ones matrix [37].
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