Sentence examples for as its first column from inspiring English sources

Let unitary matrix U have L −1(μ i −μ j ) as its first column.

The pilot matrix P r is a cyclic matrix, having the r times oversampled OCI pilot sequence p r = r p ⊗ r as its first column.

where s ( k ) ( n ) = [ s 1 ( k ) ( n ) s 2 ( k ) ( n ) … s M ( k ) ( n ) ] T ∈ C M, and P is a circulant matrix with p1p2 … p M T as its first column with p i > 0, ∀i.

as its first column for m = i,j, where ⊛ denotes the circular convolutiona, and the vector t i m of length L ~ im = L i + L m − 1 denotes the non-zero portion of the composite channel represented by the circular convolution of the zero-padded CIRs h ~ i and h ~ m.

where Ω i is an N × N column-wise circulant matrix having h ~ i = h i T 0 1 × ( N − L i ) T as its first column, and n r ∼ C N 0 N × 1, σ n 2 I N and n r, d ∼ C N 0 N × 1, σ n 2 I N are the additive noise vectors at the relay.

where Ψ i  = [Ψ i i Ψ i j ] with Ψ i m, the N × L ~ im column-wise circulant matrix having x m as its first column; t i = t ii T t ij T T denotes the total composite channel to be estimated; and ñ i = α Ω i n r + n i.

A circulant matrix (boldsymbol {C} in mathbb {C}^{N times N}) is fully described by its first column c, as its eigenvectors are the DFT basis-vectors and its eigenvalues are the DFT of (boldsymbol {c} = (c_{0}, c_{1}, dots, c_{N-1}) ).

We may say that as the first column converges, it "drags" other elements to their steady states.

Define u K,1 as the first column of U k.

stainless steel column using the same stationary phase as the first column.

In the figure, the review was processed and only the most important words were maintained as terms (first column).