Sentence examples for by diagonalizing the correlation from inspiring English sources

It was done by diagonalizing the correlation matrix and all values were set at maximum unit variance, so the difficulty in analyzing different ranges of data points was avoided.

The proper orthogonal decomposition (POD) method consists in detecting spatially coherent modes in the dynamics of a spatio-temporally varying system by diagonalizing the spatial correlation function given by an averaging operator.

The other one is an adaptive algorithm that exploits the decorrelation of the atrial and other signals diagonalizing the correlation matrices at multiple lags of the period of atrial activity.

The essential directions of correlated motions during dynamics were then calculated by diagonalizing the covariance matrix Cij.

This transformation is given by diagonalizing the unity transfer matrix into a real-Jordan form.

In the noninteracting limit, i.e. U = 0, the electronic spectrum can be easily obtained by diagonalizing the quadratic Hamiltonian in Eq. (1).

Gong et al. in [15] improved its robustness to colored noise by diagonalizing the biquaternion covariance matrix.

's are empirically determined by diagonalizing the covariance matrix between ; i.e. is the kth orthonormalized eigenvector of the covariance matrix.

For instance, singular value decomposition (SVD) probably serves as a prevailing way to construct the capacity-achieving precoder for a single-user scenario by diagonalizing the MIMO channel matrix.

The best way to obtain solutions is to determine the system's eigenvectors, its normal modes, by diagonalizing the matrix equation.

PCs were calculated by diagonalizing the covariance matrix generated from long timescale (400 ns) explicit solvent MD simulations.