To estimate samples of the channel correlation matrix, we chose a sliding window over snapshots and all frequencies, that is, (14).
Concerning the choice of scoring matrix, we chose Blosum62, as this is the de facto standard and the only available choice for PAUDA and RAPSearch2.
As a distance measure, we used the averaged Kullback-Leibler distances (AKLD) per site over the aligned length between the corresponding positions of two matrices (we chose the alignment between the two matrices that gave the smallest distance).
There are several choices of parameterization for the matrix Q, but we choose to use the HKY matrix of Hasegawa et al. (1985).
To further resolve the complex crosstalk of chemical signals with matrix properties, we chose to investigate the role of 3D hydrogel stiffness and transforming growth factor (TGF-β1), with the aim of correlating the effects on the vascular commitment of human mesenchymal stem cells.
We choose matrix functions such that is an isomorphism between and and the matrix is invertible.
In the present study we choose matrix-assisted laser desorption/ionization (MALDI) as ionization method and time of flight (TOF) as detection for MS in order to monitor the IG20 in animal samples.
We choose the Gaussian matrix as the measurement matrix that satisfies the restricted isometry property (RIP) with this basis.
We choose a matrix b that can make the least mean squares estimator physically realizable and we compare the performance of the estimator (tilde{x}) with the least mean squares estimator (hat{x}) (see e.g., [26, 27] for more details on different algorithms to design coherent observers).
This can be achieved if in the watermarked image A w, we choose the matrix z (6) to beS(N 2r 1 : N r,:)instead of S(N r 1 : N,:) (it basically means replicating the r last rows of the image as in Figure 5). .
