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Table 1 Notations and symbols

From: Capacity analysis of LTE-Advanced HetNets with reduced power subframes and range expansion

Symbol Description
λ,λ,λu Intensities of the MBS, PBS, and UE nodes,respectively
P tx , P tx Maximum transmit powers of MBS and PBS,respectively
K,K Signal attenuation factors that account forgeometrical parameters such as the transmitter/receiver antenna heights of the MBS and the PBS, respectively
P,P Effective maximum transmit powers of MBSand PBS, respectively, after considering theattenuation factors K and K
α Power reduction factor for MBS during thetransmission of CSFs
β Duty cycle for the transmission of USFs
τ Range expansion bias for picocells
ρ,ρ Scheduling thresholds for MUEs and PUEs,respectively
r,r Distances of a UE from its MOI and POI,respectively
δ Path-loss exponent
S(r),S(r) RSRPs from the MOI and the POI, respectively
H,H Exponentially distributed random variablesthat account for Rayleigh fading for thetransmissions from MBS and PBS, respectively
Z,Z Total interference power at a UE during USFand CSF, respectively
γ,γ SIRs from MOI and POI, respectively, duringUSFs
γ csf , γ csf SIRs from MOI and POI, respectively, duringCSFs
N usf , N usf , N csf , N csf Mean number of USF-MUEs, USF-PUEs,CSF-MUEs, and CSF-PUEs, respectively, in a cell
C usf , C usf , C csf , C csf Mean aggregate SEs for USF-MUEs, USF-PUEs,CSF-MUEs, and CSF-PUEs, respectively, in a cell
C u,usf , C u,usf , C u,csf , C u,csf Per-user SEs for USF-MUEs, USF-PUEs,CSF-MUEs, and CSF-PUEs, respectively, in a cell
Csum,Clog Sum of capacities and sum of log capacities ina cell