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 |
EIG_{max}(·) | To denote the dominant eigenvector of a matrix |