Sentence examples similar to rank basis from inspiring English sources

In addition to improving the robustness of the beamformer/precoder, this has the further advantage that only a minimal amount of CSIT is required, namely the angles of departure of the most significant specular components together with their respective gains as obtained from a low-rank basis decomposition.

A related low-rank basis expansion model has recently also been investigated in [78]; however, in [78] the authors consider an orthogonal basis expansion model, whereas we consider an over-complete basis set containing far more entries (left |mathcal {D}right |) than the dimension N t of the vector space.

Then we can examine this factorization as a reduced-rank basis decomposition so that X i = B j ′ · G j ′ and, subsequently, the gains can be estimated in just one step: G j ′ = A j ′ · X i, (18) where A j ′ ∈ R ≥ 0, N × F = B j ′ † and the † operator is the Moore-Penrose matrix inverse.

We formalize the agreement of a taxonomy with a phylogeny on a rank-by-rank basis in terms of convex colorings [ 3, 4].

The NNDSVD approach initializes rows of matrix H using SVD eigenvectors and indirectly ranks basis patterns by their variance.

Column 5 gives the observed ranking on basis of the transcriptional response towards a glnR knock out mutation (k.o).o

A lattice in is a -free module of rank n with basis B, i.e. Any other lattice basis is given by BM, where, the set of invertible matrices with integral entries (whose determinant is equal to ) (Artin, 1991 ▶).

"At Birmingham you can be promoted to professorial rank on the basis of the quality of your teaching and your commitment and excellence in education".

In the following section target proteins will thus be referred to by their rank on the basis of compounds.

Each country was assigned a rank on the basis of each data set; the results were then totaled to produce a final rank.

In this paper, we utilize Analytic Hierarchy Process to rank, on the basis of several supply, demand and environmental criteria, the more than 750 municipalities of Andalusia according to their suitability for the establishment of hydrogen fueling stations.