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Table 1 Summary of the notations and definitions

From: Distributed stochastic power control in ad hoc networks: a nonconvex optimization case

Notation

Definition

L

Set of links

L

Total number of links

h lk

Channel gain from link l’s transmitter to link k’s receiver

H

Link gain matrix

p l (in vector p)

Transmission power of link l

n l (in vector n)

Noise power for link l

γ l

SINR of link l

γ l (·)

SINR function of link l

U l (·)

Utility function of link l

x l (in vector x)

Ratio of link l’s utility to the total network utility

r l (in vector r)

Transmission rate of link l

r l (·)

Transmission rate function of link l

α, β

Penalty multipliers