Sentence examples for matrices utilizing the from inspiring English sources

Because the CSIT contains no information about the channel estimation error in (8) and the channel decomposition error in (9), the transmitter can only calculate approximations (hat {mathbf {R}}_{u}) and (hat {mathbf {R}}_{u,j}) of the covariance matrices utilizing the angular-domain CSI feedback; this gives a corresponding approximation (hat {tilde {R}}_{u}) of (tilde {R}_{u}).

2. Create a candidate data set for parameter estimation by generating nsp x m random matrix utilizing the normal distribution, scale it with the corresponding SEM and add the scaled-value matrix to the mean-value data on lipids and genes (Additional file 1 Table S1a).

As we deal with vectors and matrices, we utilize the covariance matrix cov, and var=cov for any scalar.

Second, an interesting open question is whether the measurement matrices utilized in DCS multi-view imaging scenarios satisfy the RIP with respect to some reconstruction basis Ψ. Establishing an RIP bound would give a guide for the requisite number of measurements (ideally, at each scale) and also give a guarantee for reconstruction accuracy.

With M u,i =4 receive antennas, it was observed that tracking the strongest eigenmode of the channel matrix utilizing APCDQ causes a larger error than tracking the channel direction of a single-receive antenna system.

The basic idea of OMP algorithm is how to select the column vector of measurement matrix Φ by utilizing the greedy iteration way and reconstruct the signal by computing the support vector set on iterative algorithm of parameter x[13].

The input SIR is useful for analysis of complexity of mixing matrices utilized in simulations.

Engineering extracellular matrices that utilize the body's natural healing capacity enable the progression of regenerative therapies.

This can be avoided by utilizing the matrix inversion lemma.

Based on the obtained ETF, the full matrix controller is designed utilizing the existing PI tuning rules.

Five repeat analyses per sample were performed using FI/MS and the (C) and (G) content determined by utilizing the matrix-matched (C) and (G) ANN models.