2. Among these transmission modes, single antenna, transmit
diversity and spatial multiplexing will likely be the point of
interest based on the implementations.
A. SISO
SISO is used in transmission mode 1. It uses single antenna
at the eNodeB. The data rate is the lowest compared to other
transmission modes.
B. Transmit Diversity
Transmit Diversity (TxD) is used in transmission mode 2.
Transmit diversity increases the SNR at the receiver instead of
directly increasing the data rate. Each transmit antenna
transmits essentially the same stream of data and so the
receiver gets replicas of the same signal. It improves the cell
edge user data rate and coverage range. The transmit diversity
is an open-loop scheme and feedback from the UE is not
required. Transmit diversity is only defined for 2 and 4 transmit
antennas and one data stream. The number of layers is equal to
the number of antenna ports.
C. Spatial Multiplexing
Spatial multiplexing allows multiple antennas to transmit
multiple independent streams. So it is sometimes referred to
as the true MIMO technique.
• Open-Loop Spatial Multiplexing (OLSM) is used in
transmission mode 3. It makes use of the spatial
dimension of the propagation channel and transmits
multiple data streams on the same resource blocks. The
feedback from the UE indicates only the rank of the
channel using Rank Indication (RI) and not a preferred
precoding matrix and hence, it is termed as open-loop.
• Closed-Loop Spatial Multiplexing (CLSM) is used in
transmission mode 4. In this case, the UE estimates the
radio channel and selects the most desirable entry from a
predefined codebook. Then the UE sends a feedback to
the eNodeB and hence, it is termed as closed-loop.
IV. SIMULATIONS FOR PERFORMANCE ANALYSIS
For efficient deployment of LTE, performance analyses of
different radio parameters are worth investigating. Simulations
are necessary to test and optimize algorithms and procedures.
These have to be carried out on both the physical layer and in
the network context. LTE physical layer is important for
conveying both data and control information between an
eNodeB and UE. To enable reproducibility and to increase
credibility of our results, simulation of the physical layer is
done using a link level simulator [9],[10] and in the network
using a system level simulator [9],[11].
A. Link level Simulation
Link level simulations allow for the investigation of
channel estimation, tracking, and prediction algorithms,
synchronization algorithms, MIMO gains, Adaptive
Modulation and Coding (AMC) and feedback. Furthermore,
receiver structures, modeling of channel encoding and
decoding, physical layer modeling crucial for system level
simulations and alike are typically analyzed on link level [7].
B. System level simulation
System level simulations analyze the performance of a
whole network, It focuses more on network-related issues, such
as resource allocation and scheduling, multi-user handling,
mobility management, admission control, interference
management, and network planning optimization [12].
V. SIMULATION RESULTS AND ANALYSIS
A. Link Level
The analysis with link level simulations was carried out
using parameters stated in Table I. The focus was to analyze
throughput and BLER values with the change of SNR. Number
of subframes was varied from 100 to 1000 to visualize the
effect. Results of throughput vs SNR were obtained and shown
in Fig. 1 and 2 respectively. Again, the results of BLER vs
SNR are presented in Fig. 3 for 100 subframes, and in Fig. 4
for 1000 subframes. With different transmission modes: SISO,
TxD 2×1, TxD 4×2 and OLSM 4x2 simulation of both
throughput and BLER were performed taking Pedestrian B
(PedB) and Flat Rayleigh channel using CQI value 7.
TABLE I. BASIC SETTINGS USED FOR LINK LEVEL SIMULATOR.
Parameter Settings
Number of UEs 1
Bandwidth 1.4MHz
Retransmissions 0 and 3
Channel type Flat Rayleigh, PedB uncorrelated
Filtering Block Fading
Receiver Soft Sphere Decoder
Simulation length 100,1000 subframes
Transmit modes SISO, TxD (2x1 and 4x2) and OLSM (4x2)
Figure 1. Throughput vs SNR Results For 100 Subframes.
386
3. Figure 2. Throughput vs SNR for 1000 Subframes.
Figure 3. BLER vs SNR results for 100 subframes
It is quite clear from Fig. 1 to 4 that as the number of
subframes was increased, the plots became smoother and more
realistic. Again, plots obtained using Flat Rayleigh channel
look almost similar to those of PedB channel.
1) Throughput analysis: Considering the case of 1000
subframes from Fig. 2, if SNR requirement is fixed at 15dB,
the maximum throughput is found as 1.52Mbps achieved with
OLSM 4x2 and the least throughput is about 0.78Mbps
obtained with TxD 4x2.
Figure 4. BLER vs SNR results for 1000 subframes.
2) BLER analysis: BLER is defined as the ratio of the
number of erroneous blocks received to the total number of
blocks sent. An erroneous block is defined as a Transport
Block, the cyclic redundancy check (CRC) of which is wrong.
A 0% BLER is not always necessary or practical, due to the
extra time it takes to resend blocks with errors. In LTE,
adaptive modulation and coding has to ensure a BLER value
smaller than 10 % [10]. If the case of 1000 subframes is
considered as per Fig. 4 and BLER value is limited at
maximum 10-1
(10% of the max.); at least a SNR of about 4
dB is required to reach this target BLER. It is achieved
through TxD 4x2. This means less signal power is needed with
this transmission mode- TxD 4x2 for minimum possible
BLER. The same BLER can also be achieved with a
maximum SNR of 14dB given by SISO and this implies that
more signal power has to be given using that scheme. So,
SISO is supposedly not a good choice for BLER sensitive
environment because of its higher power requirement.
3) Limitations and future work: The link level simulator
used [9] for this work was implemented for MIMO modes:
Transmit diversity, OLSM only. But CLSM was out of the
scope of it, and the simulator could only support one UE per
eNodeB, multiple UEs could not be simulated. So, these
limitations should be kept as considerations for improvement
in future radio planning work.
B. System Level
To determine the level at which predicted link level gains
impact network performance, system level simulations were
performed [9],[12] and results shown in Fig. 5-6. Parameters
set for the simulator were 21 cells which form the region of
interest. A simulation length of 50 TTIs was used. Scheduler:
Proportional fair, 2 transmitting and 2 receiving antennas, and
MIMO Transmit mode was CLSM. Table II-VI show case
studies carried out through numerous simulations taking
consecutively 10 to 30 user equipments per cell.
387
4. Figure 5. Region of Interest, eNodeB-UE Distribution for 30 UEs per cell
Figure 6. Throughput and aggregate results
388
5. TABLE II. CASE STUDY WITH 10UES PER CELL
User Equipment Region Average Throughput
(Mb/s)
UE 311 Close 7.17
UE 315 Intermediate 7.83
UE 320 Far 5.68
TABLE III. CASE STUDY WITH 15UES PER CELL
User Equipment Region Average Throughput
(Mb/s)
UE 474 Close 5.66
UE 467 Intermediate 5.43
UE 472 Far 4.16
TABLE IV. CASE STUDY WITH 20UES PER CELL
User Equipment Region Average Throughput
(Mb/s)
UE 631 Close 3.61
UE 656 Intermediate 2.12
UE 651 Far 1.38
TABLE V. CASE STUDY WITH 25UES PER CELL
User Equipment Region Average Throughput
(Mb/s)
UE 790 Close 3.70
UE 792 Intermediate 3.23
UE 795 Far 2.33
TABLE VI. CASE STUDY WITH 30UES PER CELL
User Equipment Region Average Throughput
(Mb/s)
UE 978 Close 0.84
UE 973 Intermediate 2.79
UE 988 Far 2.33
1) Throughput analysis: From the simulation results, with
21 cells as region of interest in all the cases average throughput
of 5.87Mb/s, 4.27Mb/s, 3.00Mb/s, 2.45Mb/s and 2.05Mb/s
were attained for 10UEs, 15UEs, 20UEs, 25UEs and 30 UEs
per cell respectively. This indicates that the average throughput
deteriorates with the increase of UEs per cell. Further analysis
at close, far and intermediate regions also implies that UE
throughput fades as they move away from the eNodeB.
However some UEs at close region were found with low
throughput which might result from other factors such as
fading, scattering, interference or other phenomenon. Table II –
VI show the distributed UEs at different regions with their
corresponding throughputs.
2) Spectral efficiency analysis: Spectrum efficiency is the
optimized use of spectrum or bandwidth so that the maximum
amount of data can be transmitted with the fewest transmission
errors. It equates to the maximum number of users per cell that
can be provided while maintaining an acceptable quality of
service (QoS). Here a spectral efficiency of 3.73bit/cu,
4.00bit/cu, 3.79bit/cu, 3.74bit/cu and 3.94bit/cu were also
attained for 10UEs, 15UEs, 20UEs, 25UEs and 30 UEs
respectively.
3) Aggregate UE results: Fig. 6 shows the aggregate UE
results, as well as some cell-related statistics. For the UE-
related results, only active UEs from the selected cells were
used. Results of the Empirical Cumulative Distribution
Function (ECDF) of the UE average throughput, ECDF of the
UE average spectral efficiency and UE wideband SINR were
obtained. In the case of 30 UEs per cell, the average throughput
was 2.05 Mb/s, its corresponding CDF was 0.5 as seen in Fig.
6, and this same average throughput had a wideband signal to
interference and noise ratio (SINR) of about 7 dB. Average
spectral efficiency of 3.8 bit/cu was also obtained at the same
CDF.
4) Limitations and future considerations: The system level
simulator could support maximum 30 user equipments per cell.
So, the obtained radio parameter values involve the effect of
this limitation along with those of link level simulator. But as
broader arrays of variations were made while creating
simulation environments, these limitations aren’t likely to
create any noteworthy negative impact. But to get a more
accurate radio network planning these limitations should be
overcome and thus all those fall under possible future works.
VI. CONCLUSION
From the simulation, it is observed that the highest
throughput is achieved with MIMO scheme: Open Loop
Spatial Multiplexing (OLSM) 4x2 mode, while the suitable
BLER is achieved with the transmit diversity (TxD) 4x2 Mode.
Besides these, effect of changed number of subframe on
throughput; spectrum efficiency for different UE/cell, BLER
and aggregate UE parameters involving throughput and CDF
were also evident and analyzed with different case-studies. In
short, this paper should help guiding the LTE radio network
planning work with more precision.
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