From: Resource allocation for statistical QoS guarantees in MIMO cellular networks
Parameter | Description |
---|---|
o | Encoding order index |
P | Transmit power budget |
\({\sigma _{\textit {ij}}^{l}}^{2}\) | Variance of the channel entries of lth link |
\({\sigma _{n}^{2}}\) | Gaussian noise present in the medium |
β | Power allocation vector, i.e. β=(β 1,…,β l,…,β L), |
Ψ | Degradation level vector, i.e. Ψ=(ψ 1,…,ψ l,…,ψ L) |
\({\mathcal I}_{x < y}\) | Indicator function that takes value 1 when x<y |
ζ l | Auxiliary variable \(\zeta ^{l}(\boldsymbol {\beta })=\frac {d^{-1} P \beta ^{l}}{{\sigma _{\textit {ij}}^{l}}^{2} \sum _{k = 1}^{L} {\mathcal I}_{\psi ^{k} < \psi ^{l}} \beta ^{k} + {\sigma _{n}^{2}}}\) |
c o | oth link capacity process = \(\sum _{i=1}^{d} \log _{2} \left [ 1 + \zeta ^{o}(\boldsymbol {\beta }) {\lambda _{i}^{o}} \right ]\) |
γ o | Effective capacity of a link with encoding order o |