Skip to main content

Table 1 List of notations

From: Uplink achievable rate in underlay random access OFDM-based cognitive radio networks

Notation

Definition

Φ P

β-GPP with repulsion parameter β and intensity λP which represents the locations of PBSs

Φ S

PPP with intensity λS which represents the locations of SBSs

\(\Phi _{P}^{(u)}(\Phi _{S}^{(u)})\)

PPP with intensity \(\lambda _{P}^{(u)} (\lambda _{S}^{(u)})\) which represents the locations of PUs (SUs)

N

Number of available subcarriers

NP(NS)

Number of subcarriers for each PU (SU)

τ

Pre-defined interference threshold at PBSs

αP(αS)

Path loss exponent for channels between users and PBSs (SBSs)

P S, x

Transmit power at the SU at x

P P

Transmit power at the PUs

hx,i(gx,i)

Power of small-scale fading channel between the tagged SBS and the SU (PU) at x for the ith subcarrier

σ 2

Power of additive white Gaussian noise (AWGN)

γ i

Signal-to-interference-plus-noise ratio (SINR) for the ith subcarrier

C

Instantaneous SU achievable rate

\(\hat {C}\)

Average SU achievable rate