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Selection of DRX scheme for voice traffic in LTE-A networks: Markov modeling and performance analysis

  • * Corresponding author: Selvamuthu Dharmaraja

    * Corresponding author: Selvamuthu Dharmaraja
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  • Power saving is a leading issue in the User Equipment (UE) for limited source of power in Long Term Evolution-Advanced (LTE-A) networks. Battery power of an UE gets exhaust quickly due to the heavy use of many service applications and large data transmission. Discontinuous reception (DRX) is a mechanism used for power saving in UE in the LTE-A networks. There are scope of improvements in conventional DRX scheme in LTE-A networks for voice communication. In this paper, a DRX scheme is chosen by selecting optimal parameters of DRX scheme, while keeping Quality of Service (QoS) delay requirements. Further, delay analysis for first downlink packet is performed. Moreover, expressions for delay distribution and expected delay of any downlink packet, are obtained and represented graphically. Based on analytical model, the trade-off relationship between the power saving and queueing delay is investigated.

    Mathematics Subject Classification: Primary: 68M20; Secondary: 60K25.

    Citation:

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  • Figure 1.  Basic structure of DRX scheme

    Figure 2.  One-way communication ON-OFF model for voice traffic

    Figure 3.  State transition diagram for two-way communication

    Figure 4.  Packet arrival in one-way communication voice traffic

    Figure 5.  Frame structure and DRX cycle in LTE-A networks

    Figure 6.  When sleep period is terminated by a packet

    Figure 7.  Trade-off between expected delay and time

    Table 1.  List of transition rates per second

    $\alpha_{1,4}$ $\alpha_{1,7}$ $\alpha_{3,1}$ $\alpha_{2,1}$ $\alpha_{7,1}$ $\alpha_{4,1}$ $\alpha_{5,1}$ $\alpha_{1,2}$, $\alpha_{7,2}$
    $\alpha_{6,5}$ $\alpha_{6,8}$ $\alpha_{2,6}$ $\alpha_{3,6}$ $\alpha_{8,6}$ $\alpha_{5,6}$ $\alpha_{4,6}$ $\alpha_{6,3}$, $\alpha_{8,3}$
    $0.833$ $5.489$ $2.157$ $2.324$ $27.62$ $ 2.222$ $ 1.044$ $~0.278$
     | Show Table
    DownLoad: CSV

    Table 2.  Parameters in DRX Scheme

    Parameters Details
    Half frame Duration (ms) $5$
    Duplexing TDD
    cDRX ON duration timer (ms) $1$
    DRX inactivity timer period (ms) $0-100$
    Short DRX cycle length (ms) $20$
    Long DRX cycle length (ms) $40-100$
    Average silence period (ms)
    (in one-way communication)
    $650$
    Average talking period (ms)
    (in one-way communication)
    $350$
    Power consumption in awake mode (mJ/ms) $0.24$
    Power consumption in sleep mode (mJ/ms) $0.02$
    Additional energy consumption(${\mu}J$) $0.2$
     | Show Table
    DownLoad: CSV

    Table 3.  Number of sleep cycles exhausted in state $S_i$

    $\tau_{1}$ $\tau_{2}$ $\tau_{4}$ $\tau_{7}$
    $\tau_{6}$ $\tau_{3}$ $\tau_{5}$ $\tau_{8}$
    $7$ $11$ $6$ $ 0 $
     | Show Table
    DownLoad: CSV

    Table 4.  Limiting probabilities

    $\pi_{1}$ $\pi_{2}$ $\pi_{4}$ $\pi_{7}$
    $\pi_{6}$ $\pi_{3}$ $\pi_{5}$ $\pi_{8}$
    $0.3289 $ $0.0236$ $0.0839$ $0.06472$
     | Show Table
    DownLoad: CSV

    Table 5.  Power saving percentage comparison for DRX scheme in one-way and two-way voice

    Length of Long DRX cycle(ms) One-way $P_{0}$
    $(\%)$
    Two-way $P_{L}$
    $~(\%)$
    $40$ $81.96$ $74.78$
    $60$ $84.31$ $75.0041$
    $80$ $85.75$ $75.12$
    $100$ $86.72$ $75.19$
     | Show Table
    DownLoad: CSV
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