Table 1 List of abbreviations and symbols
From: Statistical QoS provisioning for MTC networks under finite blocklength
bpcu | Bits per channel use |
EC | Effective capacity |
Max | Maximize |
Probability density function | |
QoS | Quality of service |
SINR | Signal-to-interference-plus-noise ratio |
s.t | Subject to |
URC | Ultra-reliable communication |
C(ρ|h|2) | Shannon capacity |
D max | Maximum delay |
\(\mathbb {E}[ \ ]\) | Expectation of |
EC | Effective capacity |
EC max | Maximum effective capacity |
\(\mathfrak {L\left (\epsilon,\lambda \right)}\) | Lagrangian function |
N | Number of nodes |
Pr() | Probability of |
\(P_{\text {out\_delay}}\) | Delay outage probability |
Q(x) | Gaussian Q-function |
Q−1(x) | Inverse Gaussian Q-function |
T f | Blocklength |
V(ρ|h|2) | Channel dispersion |
e | Exponential Euler’s number |
|h|2 | Fading coefficient |
ln | Natural logarithm to the base e |
log2 | Logarithm to the base 2 |
r | Normalized achievable rate |
w | Additive while Gaussian noise vector |
x n | Transmitted signal vector of node n |
y n | Received signal vector of node n |
z | Fading random variable |
α | Collision loss factor |
α c | Compensation loss factor |
\(\alpha _{c_{o}}\) | Operational point of compensation loss factor |
α t | Total loss |
γ c | Compensation gain |
θ | Delay exponent |
ε | Error probability |
ε t | Target error probability |
ε ∗ | Optimum error probability |
η α | Compensation loss priority factor |
η θ | Delay priority factor |
ρ | Signal-to-noise ratio |
ρ c | Compensation SNR |
\(\rho _{c_{o}}\) | Operational point of compensation SNR |
ρ i | Signal-to-interference-plus-noise ratio |
ρ s | SINR of other non-compensating nodes |