Table 1 Notations used in section 1
From: Decoupled 2D direction-of-arrival estimation based on sparse signal reconstruction
Notation | Size | Definition |
|---|---|---|
MN | 1×1 | The number of all the elements in the rectangular array |
D | 1×1 | The number of faulty elements in the rectangular array |
P 0 | 1×1 | The number of incoming sources |
P | 1×1 | The number of different α |
T | 1×1 | The number of snapshots |
K | 1×1 | The assumed number of incoming sources |
Y ant | M N×T | The data matrix received at the array |
A | M N×P 0 | The manifold matrix of the rectangular array |
S | P 0×T | The signal matrix of incoming sources |
N ant | M N×T | The noise-signal matrix at the array |
Y sg | M N×K | The reduced matrix containing most of the signal power |
S sg | P 0×K | The reduced signal matrix |
N sg | M N×K | The reduced noise signal matrix |
Y | M×N K | The rearrangement of Y sg |
A L | M×P | The manifold matrix of the linear sub-array on x-axis |
X | P×N K | The signal matrix in the decoupled model |
N | M×N K | The rearrangement of N sg |
\(\boldsymbol {\tilde {A}}^{L}\) | M×K α | The dictionary of manifold vector of the linear sub-array on x-axis |
\(\boldsymbol {\tilde {X}}\) | K α ×N K | The sparse signal matrix in the SSR in the α domain |
\(\boldsymbol {\tilde {B}}^{L}\) | N×K β | The dictionary of manifold vector of the linear sub-array on y-axis |
\(\boldsymbol {\tilde {S}}_{i}\) | K β ×K | The sparse signal matrix in the SSR in the β domain |