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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