Throughout this article, H and ⊤denote the complex conjugate transpose and the transpose of a matrix, respectively.
C M × N and T denote the set of M×Ncomplex matrices and the transpose of a matrix, respectively.
For matrices A, A H, A∗ and A T denote the hermitian, the conjugate and the transpose of A, respectively.
In addition, for any complex matrix, its superscripts † and T denote the conjugate transpose and the transpose of the matrix, respectively.
The identity matrix is denoted by I and the transpose of the matrix A by A T. Let G be a simple graph with n vertices.
If A is a matrix, then A H, A ∗ and A T denote the hermitian, conjugate and the transpose of A, respectively.
Further on, denotes the pseudo-inverse and the Hermitian of a matrix and the transpose of a vector or a matrix, respectively.
We denote by (lambda_{m}(D)), (lambda_{M}(D)), and (D^{T}) the minimum eigenvalue, the maximum eigenvalue, and the transpose of a square matrix D, respectively.
An iterative decoding scheme for this matrix representation is similar to that of Figure 7 except that the operator G consists of the generator matrix, a mask (erasure operation), and the transpose of the generator matrix.
be an m × m block-wise matrix and the transpose of block-wise inverse matrix B, where B ij is a k × k matrix for all i, j = 1,…,m.
