From: Power minimization of cooperative beamforming networks with spectrum sharing
Symbol | Explanation |
---|---|
y _{ j } | Received signal at the jth node |
h _{ i j } | Channel coefficient from ith to jth node |
P _{ ij } | Transmitting power per bandwidth from the ith node to the |
jth node | |
x _{ i } | Transmitting signal at the ith node |
W | Transmission bandwidth |
N _{ o } | Spectral density height of thermal noise |
n _{ j } | Thermal noise |
λ _{ ij } | Rate parameter of exponential distribution |
d _{ ij } | Distance between the ith and jth nodes |
R _{ d } | Direct transmission data rate |
γ _{ d } | Transmitting SINR of direct transmission |
h _{ d } | Channel coefficient of direct transmission |
R _{ c } | Data rate of PR |
\(R_{p{s_{k}}}\phantom {\dot {i}\!}\) | Data rate of the link of PT-SR _{ k } |
R _{MRC} | Data rate of MRC |
γ _{ p } | Ratio between the transmission signal power over the noise |
variance for PU | |
\(h_{p{s_{k}}}\phantom {\dot {i}\!}\) | Channel coefficient of the link PT-SR _{ k } |
\(\gamma _{{s_{k}}d}\phantom {\dot {i}\!}\) | Ratio between the transmission signal power over the noise |
variance between ST _{ k } and PR | |
\(h_{{s_{k}}d}\phantom {\dot {i}\!}\) | Channel coefficient of the link ST _{ k }-PR |
\(R_{{su}_{k}}\phantom {\dot {i}\!}\) | Data rate of the kth SU |
\(\gamma _{{su}_{k}}\phantom {\dot {i}\!}\) | Ratio between the transmission signal power over the noise |
variance for the kth SU | |
\(h_{{su}_{k}}\phantom {\dot {i}\!}\) | Channel coefficient of the link ST-SR |
R _{ N } | Cooperative network throughput |
T | Time for the 1st and 2nd phase transmission |
t _{ k } | Time for the third phase transmission |
P _{ p } | Transmitting power of PT |
P _{ d } | Transmitting power of non-cooperative scheme |
\(P_{{s_{k}}d}\phantom {\dot {i}\!}\) | Transmitting power of the ST _{ k } |
\({P_{s{u_{k}}}}\phantom {\dot {i}\!}\) | Transmitting power of the third phase |
w _{ k } | Beamforming weight of the ST_{ k } |
P _{OV} | Circuit power |
P _{SR} | Overheads of cooperative beamforming |
P _{TR} | Overheads of message sharing |
P _{ c } | Circuit power |
M | Number of cooperative SUs |
b _{RD} | Number of bits per symbol for cooperative beamforming |
b _{SR} | Number of bits per symbol for message sharing |
ρ | Amplifier efficiency |
N _{TR} | Number of symbols of training period |
N _{RD} | Number of symbols of cooperative beamforming |
P _{ b } | Power consumption per throughput |
β _{k} | Time allocation ratio of the kth SU |
Q _{ p } | QoS of PU |
Q _{ s } | QoS of SU |
\(P_{\mathrm {d}}^{\text {out}}\) | Outage probability of direct transmission |
\(C_{\text {d}}^{\text {out}}\) | Outage capacity of direct transmission |
Csuout | Outage capacity of SU |
ε | Outage probability threshold |
\(C_{\text {cb}}^{{\text {out}}}\) | Outage capacity of cooperative beamforming |
η | Energy efficiency |
θ _{1} | SNR threshold for decoding |
θ _{2} | SNR of the worst link between ST_{ k } and PR |
d _{ p } | Distance between PT and PR |
\({d_{{s_{k}}d}}\phantom {\dot {i}\!}\) | Distance between PT and PR |
d _{ su } | Distance between ST and SR |
\({d_{p{s_{k}}}}\phantom {\dot {i}\!}\) | Distance between PT and ST |
P _{max} | Maximum transmitting power |
γ _{ d } | Ratio between the direct transmission signal power over the |
noise variance | |
ζ | Network energy consumption for unit bit of throughput |
L _{ s } | Number of SUs |
v | Moving speed of users |