Table 1 Related notations
From: GAMP-SBL-based channel estimation for millimeter-wave MIMO systems
Notations | Definitions |
|---|---|
capital bold letters | Matrices |
lowercase bold letters | Vectors |
\({{[\cdot ]}^{*}}\) | Conjugate operator |
\({{[\cdot ]}^{H}}\) | Conjugate transpose operator |
\({{[\cdot ]}^{T}}\) | Transpose operator |
\({[ \cdot ]^{ - 1}}\) | Inverse operator |
\({\left\| {{\mathbf {X}}} \right\| _F}\) | Frobenius norm of \({{\mathbf {X}}}\) |
\({\left\| {{\mathbf {x}}} \right\| _2}\) | \({l_2}\) norm of \({{\mathbf {x}}}\) |
\(\otimes\) | Kronecker product |
\(\odot\) | Khatri–Rao product |
\(diag({{\mathbf {x}}})\) | Diagonal matrix with elements of \({{\mathbf {x}}}\) on its diagonal |
\(vec({{\mathbf {X}}})\) | Vectorization operation of \({{\mathbf {X}}}\) |
\(vecd({{\mathbf {X}}})\) | Vectorization operation of diagonal elements of \({{\mathbf {X}}}\) |
\({{\text {Re}} \left\{ \cdot \right\} }\) | Real part operator |
\({{\text {Im}} \left\{ \cdot \right\} }\) | Imaginary part operator |
\({E( \cdot )}\) | Expectation operator |
\({\det ( \cdot )}\) | Determinant operator |