A Team Study of a Multiple-Power Wireless Random Channel Access Mechanism with Capture Effect

Table 1

Main notations used in the paper.

Notation	Description
𝑀	The total number of mobile stations.
𝑛	The number of backlogged packets at the beginning of the current slot.
𝜆	Packet arrival probability.
𝑞^𝑖	Retransmission probability of backlogged packet of MS 𝑖.
𝑃𝑛,𝑛′	Transition probability from state 𝑛 to state 𝑛^′.
𝜋𝑛	The steady probability at state 𝑛.
𝐴𝑠	Probability that a packet transmission succeeds in the presence of 𝑠 simultaneous packet transmission attempts.
𝑊	Average window size.
𝑁	The number of power levels.
Θ𝑖	SINR of MS 𝑖 experienced by the base station.
Θth	Target SINR allowing the BS to correctly decode received packet.
𝑇𝑗	The 𝑗th power level.
𝑥𝑗	Probability to select the 𝑗th power level.
ℎ𝑖	The channel gain of MS 𝑖.