The elements in the weight matrix stand for association, linkage, human gene expression, human literature search, regulatory pathway, animal gene expression, and animal literature search, respectively.
(R^{n}) denotes an n-dimensional Euclidean space, (R^{ntimes n}) is the set of all (ntimes n) real matrices, (I_{n}) stands for the identity matrix of order n, (U^{T}) means the transpose of a real matrix or vector U, (|x|) denotes the Euclidean norm of a real vector x.
where H ¯ is a N×N time-domain channel matrix, F stands for the standard N-point DFT matrix, and vectors r and z are the received signal and the additive white Gaussian noise (AWGN) discrete samples, respectively.
Then, the diagonal element g i (t) of the matrix G stands for the sum of the powers of the K coherent signals when the subscript of the diagonal element g i (t) in matrix G corresponding to the source signal belongs to one of the K coherent signals.
where x ∈ ℂ N T is the transmitted signal, y ∈ ℂ N R is the received signal, H ∈ ℂ N R × N T is the channel matrix, ℂ stands for the complex number field, w ∈ ℂ N R is the complex additive white Gaussian noise vector having i.i.d elements with zero means and σ2 variances.
