Iaetsd adaptive modulation in mimo ofdm system for4 g


POLI SURESH, Student M.Tech-ECE Dept,
Siddartha Educational Academy Group of Institutions,
Tirupati,Andhra Pradesh,India-
517505.psuresh2705@gmail.com
ABSTRACT
This paper presents the strategy of applying
Hybrid adaption techniques in MIMO OFDM system.
With the rapid growth of digital communication in recent
years, the need for high-speed data transmission is increased.
Multiple-input-multiple-output (MIMO) antenna architecture
has the ability to increase capacity and reliability of a wireless
communication system. Orthogonal frequency division
multiplexing (OFDM) is another popular technique in
wireless communication which is famous for the
efficient high speed transmission and robustness to
frequency selective channels. Therefore, the integration of the
two technologies probably has the potential to meet the ever
growing demands of future communication systems. First
focusing on OFDM in which the bit error rate (BER) of
multilevel quadrature amplitude modulation (M-QAM) in
flat Rayleigh fading channel for 128,256,512 subcarriers
was calculated and also channel estimation can be done by
using different algorithms which is carried out through
Matlab software. The channel estimation of MIMO OFDM
system is calculated by using Minimum mean square error
algorithm (MMSE) and compares the actual value and
estimation errors using Matlab simulation.
Then take the feedback from the channel estimation
and apply hybrid adaptation techniques to improve the
spectral efficiency and to reduce the transmit power. This
system is used in wireless LAN i.e. IEEE 802.11a/g,
HYPERLAN etc.,
Keywords: MIMO, OFDM, BER, M-QAM, MMSE,
MIMO OFDM
I. INTRODUCTION
Physical limitations of the wireless medium create a technical
challenge for reliable wireless communication. Techniques that
improve spectral efficiency and overcome various channel
impairments such as signal fading and interference have made an
enormous contribution to the growth of wireless
communications. Moreover, the need for high-speed wireless Internet
has led to the demand for technologies deliveringhigher capacities
and link reliability than achieved by current systems. Multiple-
input multiple-output (MIMO) based communication systems are
capable accomplishing these objectives. The multiple antennas
configuration exploits the multipath effect to accomplish the
additional spatial diversity.
M.VINOD,
Assistant Professor-ECE Dept,
Siddartha Educational Academy Group of Institutions,
Tirupati,Andhra Pradesh,India-517505.
vinodmovidi@gmail.com
However, the multipath effect also causes the negative effect of
frequency selectivity of the channel. Orthogonal frequency division
multiplexing (OFDM) is a promising multi-carrier modulation
scheme that shows high spectral Efficiency and robustness to
frequency selective channels. In OFDM, a frequency-selective
channel is divided into a number of parallel frequency-flat sub
channels, Thereby reducing the receiver signal processing of the
system. The combination of OFDM and MIMO is a promising
technique to achieve high bandwidth efficiencies and System
performance. In fact, MIMO-OFDM is being considered for the
upcoming IEEE 802.11n standard, a developing standard for high
data rate WLANs
II. PAPER REVIEW
C.Poongodi,P.Ramya,A.Shanmugam,(2010) “BER Analysis of
MIMO OFDM System using M-QAM over Rayleigh Fading
Channel” Proceedings of the International Conference on
Communication and Computational Intelligence, explains the
BER of MIMO OFDM over the Rayleigh fading channel for M-
QAM Modulation. and also the estimation of channel at high
frequencies with conventional least squares(LS) and Minimum
Mean Square(MMSE) estimation algorithms which is carried out
through MATLAB simulation. The performance of MIMO
OFDM is evaluated on the basics of Bit Error Rate (BER)
andMeansquareError (MSE) level. Dr.JayaKumari.J,(2010)
“MIMO OFDM for 4G Wireless Systems”, International
Journal of Engineering Science and Technology VOL.2 (7).,
explains the OFDM may be combined with antenna arrays at the
transmitter and receiver to increase the diversity gain and/or to
enhances the system capacity on time variant and frequency-
selective channels, resulting in MIMO Configuration. As a
promising technology for the future broadband communication,
and the simulation results show that this is a promising
technology for next generation wireless systems and used in
applications such as HYPERLAN,WLAN and DSL etc. Pallavi
Bhatnagar ,Jaikaran Singh,Mukesh Tiwari (2011) “Performance
of MIMO-OFDM System for Rayleigh fading channel” (ISSN
2221-8386) Volume No 3 May 2011 explains the efficient
simulation for MIMO OFDM system with channel
equalization. BPSK modulation is used to detect the behavior of
the Rayleigh fading channels in presence of additive white
Gaussian noise and performance is evaluated. This paper shows
that the addition of equalizer reduces the BER and the channel
output becomes more pronounced.
ADAPTIVE MODULATION IN MIMO OFDM SYSTEM FOR4G
WIRELESS NETWORKS
28
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III. METHODOLOGY
Orthogonal frequency division multiplexing (OFDM) transforms
a frequency selective channel into a large set of individual
frequency non-selective narrowband channels, which is suited
for a multiple-input multiple-output (MIMO) structure that
requires a frequency non-selective characteristic at each channel
when the transmission rate is high enough to make the
whole channel frequency selective. Therefore, a MIMO system
employing OFDM, denoted MIMO-OFDM, is able to achieve
high spectral efficiency. However, the adoption of multiple
antenna elements at the transmitter for spatial transmission
results in a superposition of multiple transmitted signals at
the receiver weighted by their corresponding multipath
channels and makes the reception more difficult. This imposes a
real challenge on how to design a practical system that can offer a
true spectral efficiency improvement. If the channel is frequency
selective, the received signals are distorted by ISI, which makes
the detection of transmitted signals difficult. OFDM has emerged
as one of most efficient ways to remove such ISI. The delay
spread and Doppler spread are the most important factors to
consider in thee characterizing the SISO system. In the MIMO
system which employs multiple antennas in the transmitter and/or
receiver, the correlation between the transmitter and receiver
antenna is an important aspect of the MIMO channel.it depends
on the angle of arrival of each multipath component In fact,
MIMO technique is an essential means of increasing capacity in
the high SNR regime, providing at most N spatial degrees of
freedom. A typical multi-user MIMO communication
environment in which the multiple mobile stations are served by
single base station in the cellular system. Fig 5.1 and fig 5.2
shows the block diagram of MIMO OFDM transmitter and
receiver. This system is modification of OFDM, which provides
high BER and used in many applications such as DAB, DVB,
DSL.
Figure 1: Transmitter block diagram of MIMO OFDM
3.1 CHANNEL ESTIMATION
The ultimate goal at the receiver is to recover the signal that was
originally transmitted. A variety of equalization and signal
detection techniques has been developed for MIMO systems
depending on whether it is a diversity or spatial multiplexing
system.
Figure 2: Receiver block diagram of MIMO OFDM
Regardless of the type of MIMO system, most of the
equalization/detection schemes require knowledge of the channel
information in order to recover the signal. Hence, developing
an efficient method of approximating the transmission channel
between the transmitter and receiver is an essential component of
the receiver design. In this chapter the channel estimation for
MIMO-OFDM is briefly explained fundamentally. First, a
general overview on classical estimation theory is provided then
OFDM channel estimation is briefly explained in the next step
MIMO-OFDM channel estimation is investigated. The problem of
MIMO-OFDM system channel estimation in frequency domain is
addressed, and the solution for this problem is well interpreted.
Finally The MMSE algorithm as an alternative to decrease
the computational complexity of LS channel estimation is
investigated.
3.2 LS CHANNEL ESTIMATION:
The least-square (LS) channel estimation method finds the
channel estimate in such a way that the following cost function
is minimized:
( ) =‖Y-X ‖
= (Y-X ) ^H(Y-X )
= Y- X - ̂ Y+ X
By setting the derivative of the function with respect to to zero,
( )
= -2( )∗
+2( )∗
= 0
We have = , which gives the solution to the LS
channel estimation as
=( X) =
Let us denote each component of the LS channel estimate by
[ ], k = 0,1,2,3,…..N-1.since X is assumed to be diagonal due
to the ICI-free condition,the LS channel estimate can be
written for each subcarrier as
[ ] = [ ]/ [ ],k = 0,1,2,…N-1
The mean square error(MSE) of this LS channel estimation is
given as
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ISBN: 378 - 26 - 138420 - 5
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=E{( − ) (H- )}
= /
Note that the MMSE in the equation is inversely proportional to
the SNR / , which implies that it may be subject to noise
enhancement, especially when the channel is in a deep null. Due
to its simplicity, however, the LS method has been widely used
for channel estimation.
3.3MMSE CHANNEL ESTIMATION
Consider the LS solution in the equation, = . Using the
weight matrix W.define ==W , which corresponding to the
MMSE estimate. Referring to the figure, MSE of the channel
estimate is given J ( ) = E {‖ ‖ } = E {‖ − ‖ }.
Then, the MMSE channel estimation method finds a better
(linear) estimate in terms of W in such a way that the MSEin
equation is minimized. The orthogonality principle states that the
estimation error vector e = − is orthogonal to ,such that
E{ }= E{( − ) ̂
= - W = 0
Where is the cross-correlation matrix of N*N matrices A and
B, and is the LS channel estimate given as
=
Solving equation for the W yields
W =
Where is the autocorrelation matrix of given as
=E{H ̂ }
=E{H ̂ }+ / I
And is the cross correlation matrix between the true channel
vector and temporary channel estimate vector in the frequency
domain. Using the equation the MMSE channel estimation
follows as = W .
=
= ( _( ̂ ) + / )
The elements of and in equation are E{ℎ , ℎ , } =
[ − ] [ − ] Where k and l denote the subcarrier
frequency index and OFDM symbol (time) index,
respectively . In an exponentially – decreasing multipath PDP
(power delay profile), the frequency- domain correlation [ ] is
given as [ ] = 1/1+j2i
3.4 CHANNEL ESTIMATION OF MIMO
OFDM SYSTEM
The problem of channel estimation for OFDM has been well
researched however, the results are not directly applicable to
MIMO-OFDM systems. In MIMO systems, the number of
channels increases by M.Nr-folds, where M and Nr is the number
of transmit and receive antenna, respectively. This significantly
increases the number of unknowns to be solved. Using the
MIMO-OFDM system model described in Chapter 4, the channel
estimator for MIMO-OFDM can be developed. For doing so,
MIMO-OFDM 2 by 2 antenna configuration is assumed. Similar
to SISO the least square channel estimation is given as
,
( , )
= ( ( )
)
And the MMSE channel estimation for MIMO OFDM system for
nth transmit antenna and nth receiver antenna is
given
( , )
= ( )
Where
= ( , )
( ( )
) ,
= ( ) ( , )
( ( )
) + ,Where n = 1, 2….NT, m
= 1, 2….NR and NT, NR are the numbers of transmit and receive
antennas, respectively, X(n)
is an N X N diagonal matrix whose
diagonal elements correspond to the pilots of the nth
transmit
antenna and Y(m)
is N length received vector at receiver antenna
m.
3.5ADAPTIVE MODULATION
Adaptive modulation is a powerful technique for
maximizing the data throughput of subcarriers allocated to
a user. Adaptive modulation involves measuring the SNR
of each subcarrier in the transmission, then selecting a
modulation scheme that will maximise the spectral
efficiency, while maintaining an acceptable BER. This
technique has been used in Asymmetric Digital Subscriber
Line (ADSL), to maximise the system throughput. ADSL
uses OFDM transmission over copper telephone cables.
The channel frequency response of copper cables is
relatively constant and so reallocation of the modulation
scheme does not need to be performed very often, as a
result the benefit greatly out ways the overhead required
for measuring of the channel response. Using adaptive
modulation in a wireless environment is much more
difficult as the channel response and SNR can change very
rapidly, requiring frequent updates to track these changes.
Adaptive modulation has not been used extensively in
wireless applications due to the difficulty in tracking the
radio channel effectively. In the effectiveness of a
multiuser OFDM system using an adaptive subcarrier, bit and
power allocation was investigated.
3.6ADAPTIVEMODULATOR
ANDDEMODULATOR
At the transmitter the adaptive modulator block consists of
different modulators which are used to provide different
modulation orders. The switching between these modulators will
depend on the instantaneous SNR. The goal of adaptive
modulation is to choose the appropriate modulation mode for
transmission depending on instantaneous SNR, in order to
achieve good trade-off between spectral efficiency and overall
BER. Adaptive modulation is a powerful technique for
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ISBN: 378 - 26 - 138420 - 5
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maximizing the data throughput of subcarriers allocated to a user.
Adaptive modulation involves measuring the SNR of each
subcarrier in the transmission, then selecting a modulation
scheme that will maximize the spectral efficiency ,while
maintaining an acceptable BER.
IV.SIMULATION RESULTS
Table. 1 Simulation parameters in OFDM system
System OFDM
FFT size 128
Guard band size 32
Symbol duration 160
Channel Rayleigh Fading
No of symbols used 96
Modulation QAM
Figure 3.BER analysis of OFDM system
THE SIMULATION RESULTS ARE
Signal power= 5.860e-003,
EbN0 = 0[dB], BER= 157/1152 = 1.363e-001
EbN0 = 5[dB], BER= 154/3456 = 4.456e-002
EbN0= 10[dB], BER= 104/47232 = 2.202e-003
EbN0= 15[dB], BER= 27/115200000 = 2.344e-007
Table.2 Simulation Parameters for OFDM Channel
Estimation
SYTEM OFDM CHANNEL
ESTIMATION
FFT Size, Guard
Band, OFDM
Symbol and No.of
Symbols used
Nfft=128; Ng=Nfft/8;
Nofdm=Nfft+Ng;
Nsym=100;
Pilot Spacing,
Numbers of Pilots
and Data per
OFDM Symbol
Nps=4; Np=Nfft/Nps;
Nd=Nfft-Np;
Number of Bits Per
(modulated)
Symbol
Nbps=4; M=2^Nbps;
Algorithm LS and MMSE
Calculate No of symbol Errors and
MSE value
Figure 4.OFDM channel estimation
Table.3. The Simulation Results of OFDM Channel
Estimation
SNR MSE OF
LS-
LINEAR
MSE OF
LS-
SPLITTER
MSE OF
MMSE
NO. OF
SYMBOL
ERRORS
25 5.8523e-
003
7.3677e-003 1.4212e-
003
84
30 1.8578e-
003
2.3317e-003 5.2873e-
004
32
35 5.9423e-
004
7.3929e-004 1.9278e-
004
15
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40 1.9446e-
004
2.3583e-004 6.5509e-
005
11
45 6.7919e-
005
7.6674e-005 2.1960e-
005
4
50 2.7839e-
005
2.6372e-005 7.8805e-
006
0
Table.4: Simulation Parameters for MIMO OFDM Channel
Estimation
SYSTEM MIMO-OFDM CHANNEL
ESTIMATION
No of receive antennas 3
No of transmit
antennas
2
Channel Rayleigh fading
Algorithm MMSE
Figure 5: Channel Estimation of MIMO OFDM System.
Figure 6: BER for Adaptive modulation in MIMO OFDM
V.CONCLUSION
Hence the each and every block of OFDM is studied and plotted
the BER analysis under AWGN channel as well as Rayleigh
fading channel and compare the simulation results for different
EbN0[dB] values and BER value.
The channel estimation of MIMO OFDM system by using MMSE
algorithm, which is quite complicated, and the simulation results
shown that as the signal to noise ratio increases the error value
slightly reduces. The actual estimation, estimation 1 and
estimation 2 are plotted and the difference between estimation 1
and estimation 2 are also plotted. The simulation results shown
that the channel condition is worst at 20 dB.
Then the hybrid adaptation techniques to the channel estimation
of MIMO OFDM to improve the spectral efficiency and to reduce
the transmission power of the system.
REFERENCES
[1]. C.Poongodi, P.Ramya ,A. Shanmugam,(2010) “BER Analysis of
MIMO OFDM System using M-QAM over Rayleigh Fading
Channel” Proceedings of the International Conference on
Communication and Computational Intelligence.
[2]. Dr.JayaKumari.J,(2010) “MIMO OFDM for 4G Wireless
Systems”, International Journal of ngineering Science and
Technology VOL.2 (7).
[3].PallaviBhatnagar,JaikaranSingh,MukeshTiwari(2011)“
Performance of MIMO-OFDM System for Rayleigh fading
channel” International Journal of Science and Advanced
Technology(ISSN 2221-8386) Volume No 3 May 2011.
[4].PuLi,Haibin Zhang, Job Oostveen, Erik Fledderus(2010)“
MIMO OFDM Performance in Relation to Wideband Channel
Properties” The Netherlands 21 st IEEE International Symposium
on Personal,Indoor and Mobile Radio Communications .
[5].Jia Tang and Xi Zhang(2010), “Hybrid-daption-Enhanced
Dynamic Channel Allocation for OFDM Wireless Data Networks “,
Networking and information systems laboratory, department of
electrical engineering.
[6]. Viet- Ha Xian in Wang, MD.JahidurRahman, and Jay
Nadeau(2010) , “Channel Prediction Based Adaptive Power
Control for Dynamic Wireless Communications” Department of
electrical and computer engineering the university of
westernOntario, London, on, Canada N6A 5B8.
[7]Ohno and iwaosasase(2010) “Adaptive Transmission Power
Control for MIMO Diversity Employing Polarization Diversity in
OFDM Radio Access” department of information and computer
science,kieo university JAPAN.
[8]Andrea Goldsmith “Wireless Communications”
[9]TheodereS.Rappaport “Wireless Communications” Principles and
Practices Second edition
[10] http://www.cambridge.org/9780521837163
32
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