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Table 1 Notation and assumptions

From: Energy-efficient downlink resource management in self-organized OFDMA-based two-tier femtocell networks

Parameters

Meaning

MBS

Macro base station

SBS

Femto base station

MUE

Macro user

FUE

Femto user

RB

Resource block

L

Number of macrocells

N

Number of femtocells or number of players

Y

Number of macro users

X

Number of femto users

Q

Total pool RBs

G

Number of RBs acquired by each SBS

W

System bandwidth

R

Number of power levels utilized by SBS

\( {p}_l^{g,M} \)

Transmission power of lth MBS on th \( g \)th RB

\( {p}_n^{g,F} \)

Transmission power of nth SBS on th \( g \)th RB

\( {P}_{\mathrm{MAX}}^M \)

Maximum transmission power of MBS

\( {P}_{\mathrm{MAX}}^F \)

Maximum transmission power of SBS on G RBs

p c

Circuit power

\( {h}_{nn,x}^{g,F-F} \)

Channel gain between nth SBS and xth FUE operating on th \( g \)th RB

\( {h}_{\ln, x}^{g,M-F} \)

Channel gain between lth MBS and xth FUE of nth SBS operating on th \( g \)th RB

\( {\varDelta}_n^F \)

Achieved throughput by nth SBS

\( {\mathrm{EE}}_n^F \)

Achieved energy efficiency by nth SBS

Γ F

Minimum capacity of SBS

\( {\zeta}_n^{M-F} \)

Accumulated cross-tier interference limit on nth SBS

\( {\zeta}_n^{F-F} \)

Accumulated co-tier interference limit on nth SBS

A n

Action profile associated with nth player

U n

Utility function associated with nth player

\( {S}_n^F \)

Selection of G RBs by nth SBS

\( {P}_n^F \)

Power allocation of G RBs by nth SBS

\( {A}_n^{*} \)

Optimal action profile

\( {S}_n^{*F} \)

Optimal RB allocation

\( {P}_n^{*F} \)

Optimal power allocation

T

Number of particles in PSO-based power allocation

O j

jth particle position of PSO-based power allocation