From: Interference management for moving networks in ultra-dense urban scenarios
Symbol | Meaning |
---|---|
b(l, m, u) | The scheduling decision for the uth user in mth PRB in the lth subframe |
b p(n) | Total number of PRBs scheduled for device n over \(\mathcal {R}_{\mathrm {p}}\) |
b np(n) | Total number of PRBs scheduled for device n over \(\mathcal {R}_{\text {np}}\) |
d(n) | A function that measures channel quality difference for the nth device over the protected and non-protected PRBs |
i v | The number of active VUEs on the vth MN |
j | The index of an interferer |
k | The time index of received signal |
l | The index of a subframe |
m | The index of a PRB in a given subframe |
n | The index of an arbitrary device, i.e., either a UE or an MN, connecting to a macro cell |
n ∗(l, m) | The device is selected to be scheduled at the mth PRB in the lth subframe in the macro cell |
p | The number of antennas equipped at the backhaul link of an MN |
\(q_{n_{1}}\) | An arbitrary device served by macro BS sector 1 |
r(l, m, u) | The throughput of the uth macro UE at the mth PRB in the lth subframe |
r 0,i (v) | The throughput of the access link of the vth MN when the ith subframe in the micro cells is configured as ABS |
r 1,i (v) | Throughput of the access link of the vth MN when the ith subframe in the micro cells is not configured as ABS |
r p(n) | The average rate of device n over \(\mathcal {R}_{\mathrm {p}}\) |
r np(n) | The average rate of device n over \(\mathcal {R}_{\text {np}}\) |
s(n) | The average throughput of device n, which can be either a macro UE or the backhaul link of an MN |
s(u) | The average throughput of the uth macro UE |
s(v) | The average throughput of the backhaul link of the vth MN |
u | The index of a macro UE |
u ∗(l, m) | The macro UE that is selected to be scheduled at the mth PRB in the lth subframe |
x k | The desired signal transmitted at time k |
x j, k | The interfering signal from the jth interferer at time k |
n 1 | The index of a device served by macro BS sector 1 |
v | The index of an MN |
B p | The size of \(\mathcal {R}_{\mathrm {p}}\) |
B np | The size of \(\mathcal {R}_{\text {np}}\) |
G(ν) | \(G(\nu)=N\,\frac {\nu }{\left (1+\nu \right)}\) for ν≥0, a function defined to facilitate the solution of problem (7) |
K | A parameter used in the solution of (11), where K∈{0, 1, …, N−1} and G(d(K+1))≤K≤G(d(K)) |
L | The number of total subframes in which the average throughput of a device in the macro cell is calculated |
M | The total number of PRBs in each subframe |
N | The total number of devices, i.e., N=N u+N m, connect to a macro cell |
N 1 | The number of devices served by macro BS sector 1 |
N c | The number of subcarriers in an OFDMA system |
N L | The number of interferers experienced at the backhaul link of an MN |
N m | The number of MNs in a macro cell |
N u | The number of macro UEs in a macro cell |
N sf | The number of total subframes that average throughput target of the backhaul link of the MNs are calculated in the micro cells |
\(\bar {R}(v)\) | The average throughput target of the backhaul link of the vth MN during N sf subframes |
α | A parameter used in the solution of (11), where α=λ p−K |
γ k | The instantaneous output SINR at the MN backhaul receiver at time k |
ε | An averaging constant that is required in updating the average throughput of a given device |
λ p | A parameter used in the solution of (11), where λ p= max(G(d(K+1)), K) |
λ np | A parameter used in the solution of (11), where λ np=N−λ p |
\(\sigma _{\mathrm {n}}^{2}\) | The noise power at each antenna |
μ(l, u) | The average throughput of user u |
\(\mathcal {I}_{i}\) | \(\mathcal {I}_{i}\in \left \{ 0,\ 1\right \},\ i=1,\ 2,\ 3\ldots \,N_{\text {sf}}\) indicate the status of the ABSs at the micro cells |
| The sets denotes all the macro UEs in a cell |
\(\mathcal {R}_{\mathrm {p}}\) | The set of protected PRBs in a macro cell |
\(\mathcal {R}_{\text {np}}\) | The set of non-protected PRBs in a macro cell |
\(\mathcal {S}_{1}\) | The set of users only scheduled in R p |
\(\mathcal {S}_{2}\) | The set of users only scheduled in R np |
\(\mathcal {S}_{3}\) | The set of users can be scheduled both in \(\mathcal {R}_{\mathrm {p}}\)and \(\mathcal {R}_{\text {np}}\) |
| To denote uniform distribution |
| The sets denotes all the MNs in a cell |
h k | The channel vector of the desired signals at each reviver antenna of an MN at time k |
h j, k | The channel vector of the jth interfering signal observed at each reviver antenna of an MN at time k |
n k | The vector denotes the thermal noise at each receiver antenna of an MN at time k |
w k | The vector that contains the weight applied at each receiver antenna of an MN at time k |
y k | The vector that contains the received signal at each receiver antenna of an MN at time k |
z k | The combined signal at the output of an MN backhaul receiver at time k |
R | The noise covariance matrix of the reviver antennas of an MN |
I p×p | The identity matrix of size p |
(·)H | To denote the complex conjugate transpose of a matrix |
EIGmax(·) | To denote the dominant eigenvector of a matrix |