From: Optimal pilot symbol power allocation under time-variant channels
Variable | Dimension | Description |
---|---|---|
|
| Received symbol vector at antenna nr |
|
| Channel matrix between antennas ntand nrin frequency domain |
|
| Transmit symbol vector at antenna nt |
|
| Pilot symbols vector at antenna nt |
|
| Transmit data vector at antenna nt |
|
| Additive noise at antenna nr |
y k |
| Received symbol vector at subcarrier k |
H k,l |
| Channel matrix between subcarriers k and l |
W k |
| Precoding matrix at subcarrier k |
G k,k |
| Effective channel matrix Hk,kW k |
s k |
| Transmit data at subcarrier k |
n k |
| Additive noise at subcarrier k |
E k |
| Channel estimation error at subcarrier k |
|
| Transmit power of one layer |
|
| Transmit pilot symbol power |
|
| Transmit data power |
|
| ICI power |
|
| Noise power |
|
| Channel estimation error variance |
d |
| Channel saturation coefficient |
f c |
| Carrier frequency |
v max |
| Maximal user velocity |
f d |
| Maximal Doppler frequency |
T s |
| OFDM symbol duration |
N p |
| Number of pilot symbols |
N d |
| Number of data symbols |
N l |
| Number of layers |
N t |
| Number of transmit antennas |
N r |
| Number of receive antennas |
N sub |
| Number of subcarriers |
p off |
| Offset between power of pilot symbols and data symbols |
γ l |
| Post-equalization SINR at layer l |