Examples of 'unitary matrix' in a sentence
Meaning of "unitary matrix"
Unitary matrix: In linear algebra, a square matrix with scalar entries on the main diagonal and zeros elsewhere
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- A matrix which when multiplied by its conjugate transpose yields the identity matrix.
How to use "unitary matrix" in a sentence
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unitary matrix
The column of a unitary matrix are orthogonal to one another.
The complex analogue of an orthogonal matrix is a unitary matrix.
Columns of the unitary matrix are orthogonal to each other.
Many methods are known for creating a unitary matrix.
The cells themselves are welded into a unitary matrix and are preferably surrounded by a metallic band.
The second set may further include the unitary matrix.
So also a unitary matrix U satisfies.
The second set may further comprise the unitary matrix.
A unitary matrix is called special if its determinant is 1.
It may be expressed as the composition of complex conjugation with multiplication by a unitary matrix.
The considered matrices are powers of the unitary matrix generating the Brown algebra.
The inner sheath holds a plurality of optical fibres locked together in a unitary matrix.
Advantageously, said unitary matrix is full.
Unitary precoding refers to a method of pre-processing a transmission signal by using a unitary matrix.
In this equation, a unitary matrix is used as the precoding matrix.
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Note that for a certain number of antennas, another unitary matrix could be used.
More generally, any unitary matrix can be used in the transmitter system of the invention.
The method of 1, wherein the base matrix is a unitary matrix having orthogonal columns.
The transmitter may then perform precoding for the rank-L transmission based on the unitary matrix.
In some embodiments the block diagonalizing unitary matrix is a 45 degree block diagonalizing unitary matrix.
In an exemplary embodiment, the elements of G are selected so that G is a unitary matrix.
According to the documentation, in LAPACK the unitary matrix representation is optimized.
The columns of the matrix 518 are taken from a possibly scaled unitary matrix.
Preferably, the precoding matrix is a unitary matrix having a size greater than or equal to M.
A gate which acts on k qubits is represented by a 2k x 2k unitary matrix.
Equation 14 shows a case where the DFT unitary matrix Uz is applied to a precoding weight matrix.
The expansion adds Nt-Ns columns so that the expanded matrix is a unitary matrix as, EPMATHMARKEREP.
Furthermore there exists a unitary matrix U such that UAU ∗ and UBU ∗ are diagonal matrices.
The method according to claim 1, wherein said unitary matrix is full.
Preferably, said unitary matrix belongs to the group comprising,.
EPMATHMARKEREP wherein W2 ( i ) is a unitary matrix.
The block diagonalizing unitary matrix may e.g. be equivalent to EPMATHMARKEREP.
The method of claim 12 wherein the block diagonalizing unitary matrix is equivalent to EPMATHMARKEREP.
U is an ( NR × NR ) unitary matrix whose columns are left eigenvectors of H ;.
EPMATHMARKEREP The precoding weight matrix and the unitary matrix may be represented by Equation 47.
Where U is an ( NR xNR ) unitary matrix whose columns are left eigenvectors of H ;.
However, not limited to this, a unitary matrix may be used instead.
Show that all the eigenvalues of the unitary matrix U, where utu = I, have an absolute value.
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