Λ v(h),Λ d(h) | Rate of voice and data connection requests at hour h per user |
λ v(h),λ d(h) | Aggregated rate of voice and data connection requests at hour h |
1/μ v,1/μ d | Mean duration of a voice and data connection |
R v,R d | Bit rate of an individual voice and data connection |
F v,F d | Spreading factor for a voice and data connection |
N U | Number of users |
E b /N 0 | Energy per bit to noise power spectral density |
\(\gamma _{ji}^{\text {UL}},\gamma _{ij}^{\text {DL}}\) | Minimum threshold quality (target) for E b /N 0 in UL and DL for the j-th user at the i-th carrier |
W | Chip rate |
S i | Number of users connected simultaneously to the i-th carrier |
\(P_{ji},\bar {P}_{ji}\) | Power (and its mean value) transmitted by the j-th user at the i-the carrier in UL |
G ji | Equivalent gain between the j-th user and the SC (i-th carrier) |
X ji | Channel fading between the j-th user and the SC (i-th carrier) |
R j | Bit rate associated to the service of the j-th user |
\(\eta _{i}^{\text {UL}},\eta _{i}^{\text {DL}}\) | UL and DL load factors at the i-th carrier |
ν j | Activity factor associated to the service of thej-th user |
α j | Orthogonality factor in the DL associated to the j-th user |
\({\sigma _{i}^{2}},{\sigma _{j}^{2}}\) | Noise power at the SC receiver (i-th carrier) and at the receiver of the j-th user |
\(P_{i}^{\text {Ca}},\bar {P}_{i}^{\text {Ca}}\) | Total power (and its mean value) transmitted in the DL at the i-th carrier |
\(P_{i}^{\text {cCH}}\) | Power assigned to the DL common channels at the i-th carrier |
E c /I 0 | Energy per chip to received interference power spectral density |
γ cpich | Minimum threshold quality (target) for E c /I 0 for the common channels |
\(P_{\max }^{\text {UE}}\) | Maximum available power at the UE |
PCH(n,m) | Power control headroom for n voice and m data connections |
\(P_{\max }^{\text {Ca}}\) | Maximum available power at the SC for each carrier |
\(P_{n,m}^{\text {cov}}\) | Coverage probability for n voice and m data connections |
\(P_{n\rightarrow n+1,m}^{\text {cov}}\) | Conditional coverage probabilities |
\(P_{n,m\rightarrow m+1}^{\text {cov}}\) | |
(n,m) | Index of states in the 2D M/M/m/m Markov chain |
(n,m,k,l) | Index of states in the 4D M/M/m/m Markov chain |
P n,m ,P n,m,k,l | State probabilities of the 2D and 4D Markov chains |
\(\lambda _{n\rightarrow n+1,m}^{\text {v}}\) | Birth rates in the Markov chain for configuration #1 |
\(\lambda _{n\rightarrow n+1,m}^{\text {d}}\) | |
\(\lambda _{n\rightarrow n+1,m,k,l}^{\text {v}}\) | Birth rates in the Markov chain for configuration #2 |
\(\lambda _{n,m,k\rightarrow k+1,l}^{\text {v}}\) | |
\(\lambda _{n,m\rightarrow m+1,k,l}^{\text {d}}\) | |
\(\lambda _{n,m,k,l\rightarrow l+1}^{\text {d}}\) | |
\(\hat {C}_{\text {v}},\hat {C}_{\text {d}}\) | Maximum number of voice and data connections in configuration #1 |
\(\hat {C}_{\text {v}}^{A},\hat {C}_{\text {d}}^{A}\) | Maximum number of voice and data connections for both carriers in configuration #2 |
\(\hat {C}_{\text {v}}^{B},\hat {C}_{\text {d}}^{B}\) | |
C T | Maximum number of simultaneous connections supported by a carrier |
N,M | Final decision for the dimensioning of the maximum number of voice and data connections |
\(\mathcal {S}\) | Set of all possible states in the Markov chain |
\(\mathcal {A}_{i}\) | Disjoint subsets in the Markov chains |
\(\hat {P}_{C}^{\text {v}},\hat {P}_{C}^{\text {d}}\) | Voice and data congestion probabilities |
\(\hat {P}_{B}^{\text {v}},\hat {P}_{B}^{\text {d}}\) | Voice and data blocking probabilities |
\(\Gamma _{B}^{\text {v}},\Gamma _{B}^{\text {d}}\) | Maximum target voice and data blocking probabilities |
\(\hat {T}_{T}=f\) | Function relating the maximum number of voice and data connections and the required backhaul bandwidth |
P R (h) | Instantaneous radiated power at hour h |
f(P R |h) | PDF of the instantaneous radiated power at hour h |
P rad(h) | Average radiated power at hour h |
P c | Consumed power |
P sleep,P 0 | Parameters of the power consumption model |
Δ p | |
L | Total average energy consumption in one day |
E SP | Total energy that the solar panels should generate in one day |
η G | Energy loss due to the inefficiency of the solar panels |
f c | Energy correction factor for the working of the solar panels |
P nom | Nominal power of a solar panel |
G dm | Average daily solar radiation during the worst month of the year |
C B | Total capacity required for the batteries |
\(P_{\max }^{d}\) | Percentage of battery that can be spent for a proper operation |
C 1 | Capacity of a single battery |
n B | Number of required batteries |
λ TH | Threshold on the traffic rate for a single type of traffic |
λ TH | Threshold frontier on the traffic rate for two types of traffic |
P 1Ca,P 2Ca | Mean power required with 1 carrier and 2 carriers active |
λ[m] | Traffic rate at the m-th time instant within the day |
p[m] | Error in the knowledge of the traffic rate at the m-th time instant |
\({\sigma _{p}^{2}}\) | Variance of the error in the knowledge of the traffic rate |
T | Time lapse between consecutive time instants |
M | Number of time instants used for measuring the traffic |
λ ML | ML estimation of the traffic rate |
t w | Worst-case time instant for the calculation of the threshold |
\(\bar {P}_{\text {out}}\) | Bayesian robust outage probability |
θ | Maximum admissible outage probability |