=Paper= {{Paper |id=Vol-1830/Paper7 |storemode=property |title=Analysis on Energy Efficient Traffic Load Balancing in Downlink LTE-Advanced Heterogeneous Network |pdfUrl=https://ceur-ws.org/Vol-1830/Paper7.pdf |volume=Vol-1830 |authors=A. K. Danburam,A. D. Usman,S. M. Sani,M. A. Gadam }} ==Analysis on Energy Efficient Traffic Load Balancing in Downlink LTE-Advanced Heterogeneous Network== https://ceur-ws.org/Vol-1830/Paper7.pdf
                     International Conference on Information and Communication Technology and Its Applications
                                                            (ICTA 2016)
                                                    Federal University of Technology, Minna, Nigeria
                                                                   November 28 – 30, 2016




  Analysis on Energy Efficient Traffic Load Balancing in Downlink LTE-Advanced
                              Heterogeneous Network


                            A .K. Danburam1, A. D. Usman1, S. M. Sani1, and M. A. Gadam2
                1
               Department of Electrical and Computer Engineering, Ahmadu Bello University, Zaria Nigeria
                2
                  Department of Electrical and Electronic Engineering, Federal Polytechnic Bauchi, Nigeria
         danburamayuba@gmail.com, aliyuusman1@gmail.com, smsani@abu.edu.ng, agmohammed@fbtb.edu.ng,

Abstract—In this paper, a comprehensive analysis of energy               (COMP) and Support for multi-tier deployment also known
efficiency for traffic load balancing using cell range expansion         as Heterogeneous Network (HetNet) [5]. A network with a
(CRE) for Pico cells is presented. The study focused on                  composition of MeNB and low-power nodes (femto, pico,
evaluating the energy efficiency for traffic load balance of             micro and relay nodes), mixed access modes, and backhaul is
Heterogeneous Network (HetNet) deployment scenario. Energy               referred to as HetNet [6]. Intelligent HetNet deployment and
efficiency was modeled as ratio of total throughput to power             planning strategies is one of ways to improve the energy
consumption, thus power consumption is evaluated using base              efficiency in a mobile network [7]. Using high density
station power consumption parameters. Throughput is                      deployment of low power small base stations compared to
modeled based on the Signal Interference and Noise Ratio
                                                                         low density deployment of high power macro base stations,
(SINR) link adaption, considering spatial distribution of User
Equipment (UE). Simulations were carried out using 3rd
                                                                         has proven to decrease the power consumption. The fact
Generation partnership (3GPP) Long Term evolution (LTE)                  being that a base station hereafter referred to as eNodeB
system level simulator. The result obtained have shown that,             (eNB), closer to mobile users lowers the required transmit
for some traffic situations, the energy efficiency improves with         power due to advantageous path loss conditions [8]. Network
balanced traffic load which further provided more insight for            deployment based on smaller cells such as Micro, Pico or
successful deployment of green heterogeneous cellular                    even Femto cells is a possible solution to reduce total power
network.                                                                 consumption of a cellular network [9]. Heterogeneous
                                                                         networks (HetNets) using Long Term Evolution (LTE)-
   Keywords—Heterogeneous Networkt; Pico Cell Range                      Advanced system in 3GPP, achieve an overlay low power
Expansion; Energy Efficiency; Traffic Load Balance                       eNB onto high power macro eNB coverage using spectrum
                                                                         reuse of one. HetNets are being increasingly deployed by
                                                                         operators with macro-pico deployment as the most preferred
                     I.     INTRODUCTION                                 deployment strategy [10]. In a typical macro-pico
    The number of mobile subscribers is greatly increasing               deployment scenario, Pico eNB (PeNB) with smaller
over the years. Currently there are over 7 billion mobile                transmission power and size compared to Macro eNB
cellular telephone subscribers and over 3 billion active                 (MeNB) are deployed within the coverage area of a MeNB
mobile broadband subscribers in the world [1]. The ITU-R                 to increase capacity. Another benefit of deploying PeNB is to
report anticipated that the mobile data traffic will increase            reduce coverage holes, where radio signal strength from
tremendously in all countries and areas in the world.                    MeNB is low that mobile stations, referred to as User
Attractive mobile broadband services and improved device                 Equipment (UEs) are not served by MeNB [10].
capabilities drive the strong increase in unprecedented traffic              However, HetNet deployment brings about new
volumes and consumer data rate [2]. From Sample cases the                challenges; due to diverse transmit power levels of different
mobile data traffic revenues are not commensurate to the                 eNBs in HetNet [11]. Most UEs prefer to associate with the
actual traffic growth. For traffic growth of 350%, the total             highest power eNB, when the conventional Reference Signal
data revenues increased only by 30% [3]. The mobile                      Received Power (RSRP)-based association scheme is
network operators spend about 25% of the total network                   employed [6]. This shifts the handover boundary between
operation cost for electric energy which is largely generated            MeNB and PeNB closer to PeNB as depicted in Figure 1.
from fossil fuel [4]. Since Traffic grows faster than revenue,               This result in uneven distribution of traffic load among
networks must become more efficient.                                     different eNBs and in turn underutilization of the resource at
    The LTE-Advanced system with advanced technologies                   low power PeNBs [11]. The 3GPP as part of it
was meant to cost effectively address the increasing demand              standardization effort proposed the Biased Reference Signal
for quality of service (QoS), high data rates, and coverage              Received Power (BRSRP) based user association, to
extension to mobile users. These advanced technologies                   proactively offload users to smaller cells using an association
include; carrier aggregation (CA), Advanced MIMO                         bias [12]. BRSRP-based association also known as Pico Cell
techniques, coordinated multipoint transmission/reception                Range Expansion (PCRE) is a potential technique to solve

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the problem of traffic imbalance [11]. In such a technique, an                                 Micro cells and Pico cells per Macro BS will result in sub-
arbitrary fixed bias is added to the received signal power                                     optimal of Area Energy Efficiency (AEE). In [17] a heuristic
from low-power small cell PeNBs that helps offloading more                                     algorithm for eNB selection was proposed. The algorithm
users from MeNBs to PeNBs. The value of the bias can be                                        maximizes energy efficiency by reducing the energy
configured individually per cell Thus, setting bias greater                                    consumption in LTE HetNet without compromising the QoS
than 0 for the PeNB and bias of 0 for the macro MeNB will                                      of UEs, defined as minimum data rate. In [18] a path loss-
results to PCRE [12]. This will therefore shift the handover                                   based eNB selection procedure to realize CRE was proposed.
boundary to the MeNB as depicted in Figure 1.                                                  The algorithm associates UEs to eNBs with the lowest path
                                                                                               loss.
                                                                                                   Other works focus on biased receive power based user
                                                                                               associations as PCRE technique. In [12] it was indicated that
                  MeNB RSRP                                           PeNB RSRP
                                                                                               PCRE bias values have to be carefully set to achieve optimal
                                                                                               load-aware performance. The global optimal solutions for
                                                                                               dynamically selecting optimized bias was proposed in [19]
                                                  Handover Boundary                            and [12], and it was observed that there is a gap between an
                                 Handover
                              Boundary + CRE
                                                                                               optimized but static PCRE and the globally optimal solution.
                                   Bias                                                        Static PCRE has the advantage of offering much lower
                                                                                               complexity and overhead (both computational and
    MeNB                              CRE Bias                                                 messaging) than optimizing the PCRE for each network
                                                                                  PeNB         realization. The effects of PCRE on energy efficiency was
           Figure 1. BRSRP based Association Scheme.                                           investigated in [20]. This paper intends to investigate how
                                                                                               PCRE affect energy efficient and traffic load balancing in
       PCRE bias value does not virtually enlarge the                                          configuration 1 of the 3GPP HetNet deployment scenario.
transmission power from PeNBs, but makes User Equipment
(UE) do handover earlier to the PeNBs since they have a                                            III.   SYSTEM MODELS, SCENARIO DESCRIPTION AND
positive PCRE bias value [13]. The coverage area is not                                                        SIMULATION ASSUMPTIONS
affected by load imbalance in the uplink because the UE
possesses equal transmit power [6]. PCRE provides
                                                                                               A. System Models
significant improvement for UEs in the uplink as a result of
reduce path loss since the link distance are reduced [14].                                            The system performance evaluation of PCRE
However, in the downlink transmission, pico cell-edge UEs                                      technique was carried out using a multi-cell system level
are exposed to severe interference from MeNB for two                                           simulation according to LTE specifications as defined in [21]
reason: first the cell-edge UEs are furthest away from the                                     and [22]. The investigated scenario is HetNet configuration
serving PeNB. Secondly, this UEs are much closer to the                                        1. Table I gives the summary and definitions of the RSRP
interfering MeNB which consequently reduce their rate.                                         and PCRE association scheme and other variables which is
Hence PCRE for pico cells lead to uplink downlink traffic                                      considered in this paper.
imbalance [14]. This reduce the overall throughput                                                 The conventional RSRP cell association was modeled as:
consequently reducing the downlink transmission energy
efficiency of the network.                                                                                    = max {         ,        }             (1)
    In this paper, a comprehensive analysis of the impact
PCRE on transmission energy efficiency and traffic load                                           Whereas the PCRE was modelled as
balance in LTE-Advanced HetNet is presented. The
objective of this paper is to evaluate the transmission energy                                                = max {         ,        +   }         (2)
efficiency, average UE throughput, and pico UE proportions
of different PCRE bias values. In order to demonstrate the                                         For this work, single antenna receivers and transmitters
impact of PCRE association in LTE-Advanced HetNet.                                             are assumed, and therefore, only large-scale parameters are
                                                                                               considered in the channel model according to [22].

                 II.    RELATED LITERATURE                                                          𝑃𝑅𝑋 − 𝑃𝑇𝑋 = 𝐿𝑃 + 𝐹𝑆 + 𝐺𝐴 + 𝐿𝑚𝑖𝑠𝑐                 (3)
    The work in [15] Investigates the impact of deploying
different numbers of small nodes on reducing area power                                           The downlink Signal to Interference and Noise Ratio
consumption, or alternatively, on enhancing the throughput                                     between any serving eNB and any UE is given in [7] as:
power consumption of access networks. In [16] a power
consumption model for LTE and LTE-Advanced macro cell                                          SINR (uid,d) = 𝑃𝑇𝑋 + 𝐺𝐴 – N - I– 𝐹𝑆(d)– 𝐿𝑃(d)– PLN, (4)
and femto cell eNB was proposed and a suitable energy
efficiency measure was developed, to compare the design of                                     Where: N and I are the noise and the inter-cell-interference
LTE to energy efficient LTE-Advanced Networks. The work                                        (ICI) power from all the interfering eNBs at the UE location
in [7] presented a theoretical modeling of energy efficiency                                   respectively. PLN is the wall penetration loss for signals
in Heterogeneous networks (HetNets). Simulation result                                         received by indoor UE. Finally PL (d) and (d) are the path
shows that the pico cell strongly impacts the energy                                           loss and shadow loss in dB respectively measured at
efficiency of the HetNet as compared to micro cell. More                                       different UE positions. The Shanon approximation formula
specifically the work demonstrated that certain ratios of                                      for the spectral efficiency was modeled according to [23] as
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                                                                                         Assuming static power consumption irrespective of
                                                                                     traffic load situations, the base station power consumption is
                                                                                     defined as in [7] as:
             TABLE I.        SUMMARY OF VARIABLES
                                                                                            = Nsec*Nant (Ai* 𝑃𝑇𝑋 + Bi)                      (10)
     Variables                           Definitions
CellID                  Cell where UE receive maximum RSRP                               Where Nsec and Nant denote the eNBs’s number of
        ,               RSRP from MeNB and PeNB respectively                         sectors and the number of antennas per sector, respectively.
                        CRE bias value for PeNB                                      Pci is the average total power of base station(s) in a cell and
                        SINR efficiency                                              𝑃𝑇𝑋 is the power fed to the antenna as defined in equation
                        SINR value corresponding to the 26 MCSs level.               (3). The coefficient Ai accounts for the part of the power
                                                                                     consumption that is proportional to the transmitted power,
𝑃𝑅𝑋                     UE received power
                                                                                     which include Radio Frequency (RF) amplifier power and
𝑃𝑇𝑋                     eNB transmit power
                                                                                     feeder losses. While Bi denotes the power that is consumed
𝐿𝑃                      Path loss
                                                                                     independent of the average transmit power which include
𝐹𝑆                      Fading due to shadowing
                                                                                     signal processing and site cooling [7]. The value of the
𝐺𝐴                      Directional antenna gain
                                                                                     parameters are specified in table II.
𝐿𝑚𝑖𝑠𝑐                   Any miscellaneous loss such as feeder cable loss
                                                                                        The energy efficiency is defined as the ratio of the total
                        Bandwidth efficiency                                         throughput (R) within a cell and the total power consumption
                                                                                     of the cell (PCi), which is expressed as [7]:

    Link adaptation was used to map SINR to corresponding                                           =                     =                 (11)
Transmission Block Size (TBS). Link adaptation requires the
selection of a proper Modulation and Coding Scheme (MCS)
according to the channel quality which is usually indicated                              Where: RCi is the overall throughput in bits/s within a
by the SINR reported by each UE. Following the LTE                                   cell, and PCi is the total power consumption of the cell in
specification in [21], three modulation levels of Quadrature                         watts and        is the transmission energy efficiency to all
Phase Shift Keying (QPSK), 16-QAM and 64-QAM are                                     UEs in bits/joule within the cell.
supported. Together with turbo coding there are 26 MCSs
levels, this imply that there are 26 Channel Quality                                 B. Scenario Description and Simulation Assumptions
Indicators (CQI). The SINR to the effective SINR (         )                              Based on the 3GPP LTE system level simulations
mapping was modeled as:                                                              toolbox define in [25], a system of 7 wraparound sectored
                                                                                     MeNB (21 cells) with 4 PeNB per sector is considered in this
                        = max {                        ,                   }         work. The PeNBs are randomly drop within a MeNB area
                                                                 (6)                 with minimum inter-site distance constrains. Each sector has
                                                                                     a directional antennas at 120 degrees apart one for each
                  Is the SINR as a result of the UE’s                                sector, while the PeNB has Omni-directional antenna. Users
instantaneous channel conditions as in equation (4). The                             are uniformly distributed throughout the coverage area
mapping of SINR to TBS of the 26 MCSs levels, assuming a                             following the HetNet configuration 1 topology. Mobility is
Block Error Rate (BLER) target of 10% according to [24]                              represented by users having different locations in each drop.
was modelled as:                                                                     Other related system level simulation parameters are
                                                                                     specified in Table II.
            TBS(uid,d) = TBS(                      )             (7)                     The performance evaluation was carried out in a 3GPP
                                                                                     LTE system level simulator. The following metrics was used
    Throughput (R) for a UE i is given in [23] as:                                   for performance evaluation:
                                                                                          PeNB UEs (PUE) proportion: Number of UEs
                                                                                              connected to PeNBs.
                                                                 (8)
                                                                                          Average cell energy efficiency: energy efficiency
                                                                                              averaged over all simulated cells from all simulation
    Where            is The physical transmission block                                       drops.
information capacity (in bits) for the each UE CQI state I,                                   Cell average PUE and MeNB UE (MUE)
and           is the average BLER, TTI is the transmission                                    throughput: average UE throughput will indicate
time interval and         is the number of resource block                                     how well the traffic load is balanced between PeNBs
allocated to UE i. In this paper round robin resource                                         and MeNB [25].
scheduler is considered which is modeled as:
                                                                                                    IV.   RESULTS AND DISCUSSION
    NRB(uid,d) =                                                 (9)                     In this section, the overall simulation results for the
                                                                                     conventional RSRP cell association scheme and PCRE
                                                                                     association schemes with different bias considered in this
    Where: NRB(uid,d) is the number of resource block                                work is presented. The simulation was carried out for
allocated to a user at distance d from an eNB.                                       different number of UEs in the HetNet configuration 1. The

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proportions of UEs connected to the PeNBs increased with                    CDF of spectral efficiency (SE) is presented in Fig. 2, Fig. 3
the increase in PCRE bias due to the offloading of more UEs                 and Fig. 4 respectively.
from MeNB to PeNBs as a result of the effect of PCRE bias.
                                                                                                                         100
The proportion of UEs connected to PeNB for PCRE with
bias of 3dB, 6dB, 9dB, 12dB and 16dB were found to be                                                                     90
about 7% 9% 15% 20% and 26% higher than the
                                                                                                                          80
conventional RSRP cell association scheme respectively.




                                                                                           Pico UE Proportion *100 [%]
                                                                                                                          70

   TABLE II.      SYSTEM LEVEL SIMULATION PARAMETERS                                                                      60

               Parameter                     Setting/Description                                                          50
Cell layout                               7 Hexagonal MeNBs; 3
                                                                                                                          40
                                          sectors; reuse 1
MeNBs radius                              500m                                                                            30                                                             Conventional RSRP
Bandwidth and carrier frequency           10MHz at 2000 MHz                                                                                                                              RSRP with CRE = 3dB
Hotspot radius                            4                                                                               20                                                             RSRP with CRE = 6dB
                                                                                                                                                                                         RSRP with CRE = 9dB
Hotspot radius                            40m                                                                             10                                                             RSRP with CRE = 12dB
Minimum      distance MeNBs         and   75m
                                                                                                                                                                                         RSRP with CRE = 16dB
between                  PeNBs                                                                                                0
                                                                                                                               10        20          30     40    50       60      70          80         90       100
                         Among PeNBs      40m                                                                                                                 Number of UEs per Cell
                         MeNBs and UE     35m
                         PeNBs and UEs    10m                                                                                                  Figure 2. PeNB UE Proportion
Transmission power       MeNBs            46 dBm
                                                                                                                   100
                         PeNBs            30 dBm                                                                                           Conventional RSRP
Path-loss                MeNBs            128.1 +37.6log10 (r [km])                                                      90                RSRP with CRE = 3dB
                                          [21]                                                                                             RSRP with CRE = 6dB
                       PeNBs              140.7 +36.7log10 (r [Km])                                                      80                RSRP with CRE = 9dB
                                                                                                                                           RSRP with CRE = 12dB
                                          [21]                                                                           70                RSRP with CRE = 16dB
Number of UEs per                         10,20,...,100
                                                                               CDF (percentage)


sector                                                                                                                   60
UE distribution                           Uniform distribution [21]
                                                                                                                         50
Packet scheduler                          Round Robin
        ,                                 0.75 , 1.25 [22]                                                               40

Power consumption                         Macro:Ai = 21.45; Bi =                                                         30
parameters                                354.44, Pico: Ai = 5.5;
                                          Bi=38[6]                                                                       20

                                                                                                                         10
    For the individual bias values, the proportion of PeNB
                                                                                                                          0
UEs increase up to 30UEs in the system, but allowing up to                                                                         -40         -30        -20     -10       0             10        20         30
40 UEs into the system, however, caused a decrease in the                                                                                                         SINR [dB]

connection ratio. It subsequently stabilized when more UEs                                                                 Figure 3. The CDF of SINR with Different PCRE Bias
were allowed into the system beyond 40 UEs. Therefore, it
can be deduced that the best offloading gain for all the bias
                                                                                                                         100
values is achieved when 30UEs are allowed in the system.
Nevertheless, the connection ratio does not show significant                                                             90
difference with the rest of number of UEs for all the bias                                                               80
values. This is consistent with what is reported in [26].
    The cumulative distribution functions (CDF) of the SINR                                                              70
                                                                                      CDF (percentage)




of PCRE cell association schemes with 4 PeNBs and 100                                                                    60
UEs per sector lie above the SINR CDF of conventional
                                                                                                                         50
RSRP as the reference cell association scheme. The worst
affected UE by interference in all the cell association                                                                  40
schemes are the cell edge (worst 5%) UEs [26].                                                                           30
                                                                                                                                                                                    Conventional RSRP
    Essentially, any offloading due to increase in PeNB cell                                                                                                                        RSRP with CRE = 3dB
                                                                                                                                                                                    RSRP with CRE = 6dB
range will result in SINR performance degradation of the                                                                 20
                                                                                                                                                                                    RSRP with CRE = 9dB
offloaded UEs [27]. This is due to the interference effect                                                               10                                                         RSRP with CRE = 12dB
suffered by pico cell-edge UEs from the high transmission                                                                                                                           RSRP with CRE = 16dB
                                                                                                                          0
power of MeNBs. Consequently, the SINR CDF for the cell                                                                        0         0.5          1     1.5          2       2.5       3        3.5        4
edge UEs of the PCRE with 16dB, was found to be the worse                                                                                                 Spectral efficiency [bps/Hz]

followed by 12dB, 9dB, 6dB than the SINR CDF of the                                                                            Figure 4. The CDF of SE with Different PCRE Bias
conventional RSRP respectively. PCRE with 3dB did not
show significant difference with the conventional RSRP.                         The spectral efficiency (SE) is the measure of utilization
This shows that without effective interference mitigation the               of bandwidth measured in bps/Hz, the corresponding
cell edge UEs will be in an outage, with large PCRE bias                    performance for the conventional RSRP and PCRE is
values. The pico UE connection ratio, CDF of the SINR and                   depicted in Fig. 4. The average (50% CDF) SE was not

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found to differ between the conventional RSRP and the                                                                                  with 6dB has the lowest difference in the average UE
RSRP with 3dB, 6dB and 9dB. But that of PCRE with 12dB                                                                                 throughput between the MeNB UEs and PeNB UEs.
and 16dB lie slightly above the conventional RSRP for less                                                                                 PCRE with bias of 9dB exhibited a more balanced
than 70% CDF after which it was not found to differ. The SE                                                                            average UE throughput performance for high traffic load
of the cell edge (worst 5%) UEs for the conventional RSRP                                                                              (10UE per cell). For high traffic load, the difference between
and all the PCRE bias were poor due to the poor load                                                                                   the average throughput performance of the PeNB UEs and
balancing in the case of the conventional RSRP and poor                                                                                MeNB UEs is 1.494Mbps, 1.001Mbps, 0.42Mbps,
SINR in the PCRE scheme.                                                                                                               0.13Mbps, 0.83Mbps and 1.81Mbps for conventional RSRP,
    RSRP with bias of 3dB exhibited a more balanced                                                                                    PCRE with 3dB, 6dB, 9dB, 12dB and 16dB respectively.
average UE throughput performance for low traffic load                                                                                 Hence, PCRE with 9dB has the lowest difference in the
(10UE per cell). For low traffic load, the difference between                                                                          average UE throughput between the MeNB UEs and PeNB
the average throughput performance of the PeNB UEs and                                                                                 UEs as depicted in Fig. 7.
MeNB UEs is 10.8Mbps, 1.1Mbps, 1.6Mbps, 8.4Mbps,                                                                                           For all the traffic load considered the average PUE
10.3Mbps and 15.2Mbps for conventional RSRP, PCRE with                                                                                 throughput decrease with increase in bias. This can be
3dB, 6dB, 9dB, 12dB and 16dB respectively. Hence, PCRE                                                                                 attributed to the fact that PCRE essentially offloads UE from
with 3dB has the lowest difference in the average UE                                                                                   MeNB to PeNB, the higher the PCRE bias the more the
throughput between the MeNB UEs and PeNB UEs.                                                                                          offloading gain. Therefore, the higher PCRE bias resulted to
    PCRE with bias of 6dB exhibited a more balanced                                                                                    overcrowding the PeNB thereby lowering the average
average UE throughput performance for medium traffic load                                                                              throughput of the PUEs due the round robin scheduler
(50UE per cell). Fig. 5 and Fig. 6 shows the average UE                                                                                employed. The round robin resource allocation makes UEs to
throughput for low and medium traffic load respectively.                                                                               share the limited resource blocks in the pico cell equally.
                                                                                                                                       Also as the PCRE bias increase pico cell-egde UEs increase,
                                          35
                                                            Conventional RSRP
                                                                                                                                       such UEs are greatly impacted by interference from MeNB
                                                            RSRP with CRE = 3dB                                                        which consequently reduce their rate. Conversely, the
                                          30                RSRP with CRE = 6dB                                                        average MUEs throughput increase with increase in bias.
                                                                                                     25.6




                                                            RSRP with CRE = 9dB
                                                                                                                                       This can be attributed to the fact that, as UEs are offloaded to
  Average UE Throughput [Mbps]




                                                            RSRP with CRE = 12dB
                                          25
                                                            RSRP with CRE = 16dB                                                       PeNBs from MeNB, fewer UEs are left in the MeNB to
                                                                                                22
                                                                                              20.8
                                                 20.3




                                                                                                                                       share the available resources and such UEs are not affected
                                          20
                                                                                                                                       by interference. Therefore, such UEs achieve high data rate
                                                                                       16.3
                                                             15.8




                                                                                                                                       which is similar with what is reported in [27] and [28].
                                                            14.7




                                                                                    14.7




                                                                                                             13.1
                                                                                                             12.8
                                                                                                                      12.8




                                          15
                                                        12.4




                                                                                                                     12.3
                                                                                                                     12.3
                                                                      11.7




                                                                                                                    11.5
                                                                    10.4




                                                                                                                                                                         35
                                                                             9.5




                                                                                                                                                                                   Conventional RSRP
                                          10
                                                                                                                                                                                   RSRP with CRE = 3dB
                                                                                                                                                                         30        RSRP with CRE = 6dB
                                          5                                                                                                                                        RSRP with CRE = 9dB
                                                                                                                                          Average UE Throughput [Mbps]




                                                                                                                                                                                   RSRP with CRE = 12dB
                                                                                                                                                                         25
                                                                                                                                                                                   RSRP with CRE = 16dB
                                          0
                                                   PUE Throughput             MUE Throughput                 All UE Throughput                                           20

                                               Figure 5. Average UE Throughput for Low Traffic Load
                                                                                                                                                                         15

                                          35
                                                             Conventional RSRP                                                                                           10
                                                             RSRP with CRE = 3dB
                                          30                 RSRP with CRE = 6dB
                                                                                                                                                                                                                 2.86




                                                                                                                                                                         5
                                                                                                                                                                               2.14
                                                                                                                                                                               1.82
                                                                                                                                                                              1.52




                                                                                                                                                                                                         0.819

                                                                                                                                                                                                          1.45




                                                                                                                                                                                                                        1.46
                                                                                                                                                                                                 0.646




                                                                                                                                                                                                                        1.41
                                                                                                                                                                                                                               1.36
                                                                                                                                                                              1.32




                                                                                                                                                                                                                               1.33
                                                                                                                                                                                                                               1.32
                                                                                                                                                                                                                               1.32
                                                                                                                                                                                        1.17
                                                                                                                                                                                        1.05




                                                             RSRP with CRE = 9dB
                                                                                                                                                                                                         1.1

                                                                                                                                                                                                           2
           Average UE Throughput [Mbps]




                                                             RSRP with CRE = 12dB
                                          25                                                                                                                             0
                                                             RSRP with CRE = 16dB                                                                                             PUE Throughput       MUE Throughput       All UE Throughput

                                                                                                                                                                    Figure 7. Average UE Throughput for High Traffic Load
                                          20

                                                                                                                                              The PCRE with 16dB bias achieve the worst average
                                          15
                                                                                                                                       UE throughput (All UE throughput) and traffic load balance
                                                                                                     9.79




                                                                                                                                       for all the traffic load considered. This can be attributed to
                                          10
                                                                                                                                       poor SINR performance with 16dB and redundancy
                                                                                         4.83




                                                                                                                                       introduced to the MeNB due to limited UEs allowed in the
                                                     4.14
                                                    3.36




                                                                                       3.7
                                                   2.92




                                                                                                            2.98
                                                                                                            2.82
                                                                                                                    2.77
                                                                                                                    2.72
                                                                                                                    2.74
                                                                                                                    2.77
                                                                                     2.59




                                           5
                                                  2.55




                                                                                                                                       MeNB. It can also be observed that the conventional RSRP
                                                                    2.35
                                                                    2.09




                                                                                    1.92
                                                                             1.41




                                                                                                                                       achieved the best total UE throughput. This is because the
                                           0                                                                                           conventional RSRP has the best SINR performance.
                                                    PUE Throughput             MUE Throughput                All UE Throughput
                                                                                                                                       However, the conventional RSRP achieve a poor traffic load
                                          Figure 6. Average UE Throughput for Medium Traffic Load
                                                                                                                                       balance. This is due to low offloading of UEs from PeNB to
   For medium traffic load, the difference between the                                                                                 MeNB.
average throughput performance of the PeNB UEs and                                                                                         Despite the poor performance of the conventional RSRP
MeNB UEs is 2.73Mbps, 1.44Mbps, 0.33Mbps, 1.15Mbps,                                                                                    in terms of traffic load balance, it was found to perform
2.4Mbps and 7.7Mbps for conventional RSRP, PCRE with                                                                                   better in terms of energy efficiency. The conventional RSRP
3dB, 6dB, 9dB, 12dB and 16dB respectively. Hence, PCRE                                                                                 achieved the best energy efficiency for all traffic load

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simulated as depicted in Fig. 8. PCRE with 16dB achieved                                                    [5]  3GPP, “Evolved Universal Terrestrial Radio Access ( EUTRA );
the worst energy efficiency due to poor SINR performance                                                         Radio Frequency ( RF ) requirements for LTE Pico Node B, TR
                                                                                                                 36.931,” 2011
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