Notations

Description

Lowercase boldface letters

Vectors

Uppercase boldface letter

Matrices

$tr\left(.\right)$

Trace function

$CN\left(0,1\right)$

Complex circular symmetric Gaussian distribution

${\left(.\right)}^H$

Hermitian transpose

$\left|.\right|$

Determinant

$\Vert s\Vert$

Euclidean norm of a vector s

${\Vert X\Vert }_F$

Frobenius norm matrix $X$

$I_{N_s}$

Identity matrix of $N_s\times N_s$ dimension

$E(.)$

Expectation operation

$H_k$

Channel matrix between source to k relay nodes

$H^{\text{T}}$

Transpose of matrix $H$

$H^H$

Hermitian of matrix $H$

${\log }_2$

The logarithm with base 2

${\sigma }_r^2$

The noise variance at relay node

${\sigma }_d^2$

The noise variance at user node