A*, A T, and A H denote the conjugate matrix, matrix transpose, and conjugate (Hermitian) transpose of A, respectively.
One possible approach is to apply the matched filter (MF) receiver matrix using the transpose conjugate of the transmit matrix, i.e., B MF = A H. (11).
where is the identity matrix, is the transpose conjugate operation and SNR is the signal-to-noise ratio at the receiver.
In Section 6, the performance evaluations are given; and finally, the study is concluded in Section 7. Notations: Rank (A) refers to the rank of the matrix A; (A) H represents the transpose conjugate of the matrix A and |A| is the determinant of square matrix A. Capital Greek letters such as Ω denote sets and |Ω| denotes the number of elements in Ω.
Here, denotes matrix transpose, and for complex conjugation and conjugate transposition, notations and are used, respectively.
The operators,, and are the matrix transpose, hermitian transpose, and conjugate complex, respectively.
Throughout the formulations of this paper, E denotes expectation, H denotes the conjugate matrix transpose, T denotes the matrix transpose, ⊙ denotes the Hadamard product and ⊗ denotes the Kronecker product.
where and denote the rate of the first and second user, respectively, denotes transpose conjugate of matrix, is the determinant of matrix, and is the th user data covariance matrix, that is, and.
Notation: lower-case and upper-case boldface letters denote vectors and matrices, respectively; T, H,−1, det and t r denote the transpose, conjugate transpose, matrix inversion, determinant and trace, respectively; C denotes the set of complex numbers, I N is the N×N identity matrix.
denotes the transpose conjugate of matrix.
