Abstract
We mathematically analyze the discontinuous reception (DRX), a powersaving mechanism in 3GPP LTE where both downlink and uplink packetarrivals at a user equipment (UE) and an evolved node B (eNB) followPoisson processes. We construct a 2-dimensional discrete timeembedded Markov chain. We obtain the average power consumption,average downlink delay and average uplink delay. The analyticalresults match with the simulation results very well. We show thatthere is a tradeoff between the power consumption and the downlinkdelay, i.e., the average power consumption decreases and the averagedownlink delay increases as the DRX cycle increases or theinactivity time decreases. We also see that a presence of uplinkpacket decreases the downlink packet delay, but increases the powerconsumption.
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