Performance Analysis of Phase Noise Impaired Ofdm Systeminamultipath Fading Channel
Performance Analysis of Phase Noise Impaired Ofdm Systeminamultipath Fading Channel
Performance Analysis of Phase Noise Impaired Ofdm Systeminamultipath Fading Channel
(t) and
(t) (4)
Where b
I
(t) and b
(t)|
2
(5)
Proceedings of 2013 IEEE Conference on Information and Communication Technologies (ICT 2013)
978-1-4673-5758-6/13/$31.00 2013 IEEE 900
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For Further Details-A Vinay 9030333433,0877-2261612 1
b) Clarkes Rayleigh Fading model:
The sum-of-sinusoid method described for the random
process of flat Rayleigh fading with M multipathis
b
I(n1
s
)
=
1
VM
_ cos ]2n
cos j
(2m-1)n+0
4M
[ . nI
s
+o
m
M
m=1
(6)
b
(n1
s
)
=
1
VM
_ sin ]2n
cos j
(2m-1)n+0
4M
[ . nI
s
+ [
m
M
m=1
(7)
where ,
m
and
m
are uniformly distributed over (0,2)for all
n and mutually distributed. Here,
x
Jt (9)
Then the BER for phase noise impaired OFDM system is
calculated using QPSK demodulated data with phase noise.
B. BPSK Modulation
The data source can be modulated using BPSK
modulation. BPSK modulation isthe PSK modulation of the
data source with mapping order two (M=2). So the data source
is quantized into two levels.PSK is a digitalmodulation
scheme that conveys data by modulating the phase of the data
source.QPSK possesses two orthogonal BPSK systems which
do not interfere with each other. So, the BER for QPSK and
BPSK are identical.
IV.PERFORMANCE ANALYSIS
The BER performance of the OFDM system for different
digital modulation schemes (QPSK and BPSK) over a
multipath Rayleigh fading channel is investigated by means of
a computer simulation using MatLab.The performance of a
data transmission system is usually analysed and measured in
terms ofBER andMSEVsSNR.The various parameters of an
OFDMsystem were varied and tested by modeling it using
MatLab. The following parameters are used for computation
in this section:
TABLE I
SYSTEM AND CHANNEL PARAMETERS FOR SIMULATION
Number of samples 11264
Modulation QPSK and BPSK
Constellations
M=4 for QPSK and M=2 for
BPSK
length of cyclic prefix 1408
Channel Type
Multipath Rayleigh fading
channel(four path)
(both frequency selective and
time varying)
Input SNR [0 0.6 1.2 1.8] in dB
A. Performance analysis over a Frequency selective fading
channel
Fig. 3BER performance-QPSK.
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
10
-0.303
10
-0.302
10
-0.301
SNR vs BER for QPSK Modulation with Phasenoise
SNR in dB
B
it
E
r
r
o
r
R
a
t
e
(
B
E
R
)
in
d
B
Proceedings of 2013 IEEE Conference on Information and Communication Technologies (ICT 2013)
978-1-4673-5758-6/13/$31.00 2013 IEEE 901
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For Further Details-A Vinay 9030333433,0877-2261612 2
Fig. 4 MSE performance - QPSK.
Fig. 5 Theoretical BER performance - QPSK
Fig. 6 BER performance - BPSK.
The BER and MSE performance of phase noise impaired
OFDM system over a multipath frequency selective Rayleigh
fading channel for QPSK and BPSK are shown in Fig. 3-5 and
Fig.6-8 respectively. In the presence of phase noise over
frequency selective fading channel, the BER and MSE were
analyzed for different SNR values.Figure 3 and Fig. 6 shows
that if the SNR value increases, the BERwill decrease.
Fig. 7 MSE performance - BPSK.
Fig. 8 Theoretical BER performance - BPSK
Figure 4 and Fig. 7 shows that the MSE performance of
an OFDM system over QPSK demodulation and a frequency
selective fading channel decreases as the SNR value increases.
The theoretical performance of QPSK and BPSK are shown in
Fig.5 and Fig.8.
B. Performance analysis over a time varying fading
channel
Fig. 9 BER performance of - QPSK.
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
1.645
1.65
1.655
1.66
1.665
1.67
1.675
1.68
1.685
x 10
-4
SNR in dB
M
e
a
n
S
q
u
a
r
e
E
r
r
o
r
(
M
S
E
)
in
d
B
SNR Vs MSE with phasenoise
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
10
-1.3
10
-1.2
SNR vs BER Theoritical for QPSK Modulation
SNR in dB
B
it
E
r
r
o
r
R
a
t
e
(
B
E
R
)
in
d
B
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
10
-0.3
10
-0.299
10
-0.298
10
-0.297
SNR vs BER for BPSK Modulation with Phasenoise
SNR in dB
B
it
E
r
r
o
r
R
a
t
e
(
B
E
R
)
in
d
B
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
4.445
4.45
4.455
4.46
4.465
4.47
4.475
4.48
4.485
4.49
x 10
-5
SNR in dB
M
e
a
n
S
q
u
a
r
e
E
r
r
o
r
(
M
S
E
)
in
d
B
SNR Vs MSE with phasenoise
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
10
-1.3
10
-1.2
SNR vs BER Theoritical for BPSK Modulation
SNR in dB
B
it E
rr
o
r R
a
te
(
B
E
R
) in
d
B
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
10
-0.302
10
-0.301
10
-0.3
10
-0.299
10
-0.298
10
-0.297
SNR vs BER for QPSK Modulation with Phasenoise
SNR in dB
B
it
E
r
r
o
r
R
a
t
e
(
B
E
R
)
in
d
B
Proceedings of 2013 IEEE Conference on Information and Communication Technologies (ICT 2013)
978-1-4673-5758-6/13/$31.00 2013 IEEE 902
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For Further Details-A Vinay 9030333433,0877-2261612 3
Fig. 10 MSE performance - QPSK.
Fig. 11 Theoretical BER performance - QPSK
Fig. 12 BER performance - BPSK.
Fig. 13 MSE performance - BPSK.
Fig. 14 Theoretical BER performance - BPSK
The BER and MSE performance for QPSK and BPSK
over a time varying fading channel are shown in Fig. 9-11 and
Fig.12-14 respectively. In the presence of phase noise over
time varying fading channel, the BER and MSE were analyzed
with input SNR values. Figure 9 and Fig. 12 shows that if the
SNR value increases, the performance of BER will decrease in
the presence of phase noise. Figure 10 and Fig. 13 shows that
the MSE performance of an OFDM system over QPSK
demodulation and a time varying fading channel decreases as
the SNR value increases. The theoretical performance of
QPSK and BPSK are shown in Fig.11 and Fig.14.
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
1.63
1.635
1.64
1.645
1.65
1.655
1.66
x 10
-4
SNR in dB
M
e
a
n
S
q
u
a
r
e
E
r
r
o
r
(
M
S
E
)
i
n
d
B
SNR Vs MSE with phasenoise
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
10
-1.3
10
-1.2
SNR vs BER Theoritical for QPSK Modulation
SNR in dB
B
i
t
E
r
r
o
r
R
a
t
e
(
B
E
R
)
i
n
d
B
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
10
-0.318
10
-0.317
10
-0.316
10
-0.315
10
-0.314
10
-0.313
SNR vs BER for BPSK Modulation with Phasenoise
SNR in dB
B
it
E
r
r
o
r
R
a
t
e
(
B
E
R
)
in
d
B
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
2.08
2.09
2.1
2.11
2.12
2.13
2.14
2.15
2.16
2.17
x 10
-4
SNR in dB
M
e
a
n
S
q
u
a
r
e
E
r
r
o
r
(
M
S
E
)
i
n
d
B
SNR Vs MSE with phasenoise
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
10
-1.3
10
-1.2
SNR vs BER Theoritical for BPSK Modulation
SNR in dB
B
i
t
E
r
r
o
r
R
a
t
e
(
B
E
R
)
i
n
d
B
Proceedings of 2013 IEEE Conference on Information and Communication Technologies (ICT 2013)
978-1-4673-5758-6/13/$31.00 2013 IEEE 903
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For Further Details-A Vinay 9030333433,0877-2261612 4
TABLE II
QUANTITATIVE VALUES OF SIMULATION RESULTS
MODULATION
PERFORMANCE
PARAMETER
FREQUENCY SELECTIVE FADING
CHANNEL
TIME VARYING FADING CHANNEL
QPSK
BER
BER(theoretical)
MSE
0.5007 0.4982 0.4972 0.4968
0.0786 0.0648 0.0522 0.0409
1.0e-003 *( 0.1680 0.1667 0.1664 0.1650)
0.5051 0.5017 0.4993 0.4984
0.0786 0.0648 0.0522 0.0409
1.0e-003 *( 0.1656 0.1648 0.1643 0.1631)
BPSK
BER
BER(theoretical)
MSE
0.5054 0.5053 0.5033 0.5008
0.0786 0.0648 0.0522 0.0409
1.0e-004 * (0.4487 0.4486 0.4468 0.4446)
0.4873 0.4862 0.4832 0.4800
0.0786 0.0648 0.0522 0.0409
1.0e-003 *( 0.2152 0.2139 0.2126 0.2085)
The theoretical values for the Bit Error Rate (BER) of
the frequency selective fading and time varying fading
channelof both QPSK and BPSK are the same, while their
practical values happens to differ in Table II. For QPSK the
BER of the Frequency Selective fading channel appears to
decrease gradually from 0.5007 to 0.4968 which is lesser in
comparison to the time varying fading channel, which
decreases from 0.5051 to 0.4984. Both QPSK and BPSK,
reveals that, the MSE of the frequency selective fading
channel is less when compared with the time varying fading
channel. For BPSK the BER of the Frequency Selective
fading channel appears to decrease gradually from 0.5054 to
0.5008 which is greater in comparison to the time varying
fading channel, which decreases from 0.4873 to 0.4800. In
general, the BER of Frequency selective fading channel is
more in BPSK than in QPSK, while it is the vice versa for
the time varying fading channel.
V.CONCLUSION
Phase noise causes significant degradation of
theperformance of OFDM systems. The effects of
phasenoise on the performance of OFDM systems havebeen
analytically evaluated. In this paper, the BER and MSE
performance of an OFDM system over multipath fading
channel was analyzed.It is computationally efficient due to
its use of FFT techniques for implementing modulation and
demodulation functions.Simulation results show that the
methodology presented in this work is accurate.
REFERENCES
[1] Ying Shan Li and Jin-Soo Park, Non-linear Analysis of the
Phase Noise in the OFDM Communication System, IEEE
Transactions on Consumer Electronics, Vol. 50, No.1,
February 2004.
[2] IEEE, Wireless LAN Medium Access Control (MAC) and
Physical Layer (PHY) Specifications: High-speed Physical
Layer in the 5 GHz Band, IEEE Std. 802.11a, 1999.
[3] IEEE, Wireless LAN Medium Access Control (MAC) and
Physical Layer (PHY) Specifications.Amendment 4:
FurtherHigher Data Rate Extension in the 2.4 GHz Band,
IEEE Std.802.11g, 2003.
[4] T. Pollet, M.Bladel, and M. Moeneclaey, BER sensitivity
of OFDM systems to carrier frequencyoffset and Wiener
phase noise, IEEE Trans.Commun., vol.43, pp. 191 193,
Feb. 1995.
[5] S. Wu and Y. Bar-Ness, OFDM systems in thepresence of
phase noise: consequences and solutions,IEEE Trans.
Commun., Oct. 2004.
[6] D. Astely, E. Dahlman, A. Furuskar, Y. Jading, M.
Lindstrom, and S. Parkvall, LTE: the evolution of mobile
broadband, IEEE Commun. Mag., vol. 47, no. 4, pp. 44
51, Apr. 2009.
[7] G. Fettweis, M. Lohning, D. Petrovic, M. Windisch, P.
Zillmann, and W. Rave, Dirty RF: a new paradigm, in
Proc. IEEE 16th International Symposium Personal, Indoor
Mobile Radio Commun., Sep. 2005, vol. 4, pp. 23472355.
[8] PramodMathecken, and TaneliRiihonen, May 2011,
Performance Analysis of OFDM with Wiener Phase Noise
and Frequency Selective Fading channel, in Proc.IEE
Transaction on communication Vol.59, No.5.
[9] T. Pollet, M. Van Bladel, and M. Moeneclaey,BER
sensitivity of OFDM systems to carrier frequency offset
and Wiener phase noise,IEEE Trans. Commun., vol. 43,
pp. 191193, Feb./Mar./Apr. 1995.
[10] T. Schenk, RF Imperfections in High-Rate Wireless
Systems.Springer,2008.
[11] Songping Wu and Yeheskel Bar-Ness, OFDM Systems in
the Presence of Phase Noise: Consequences and Solutions,
IEEE Transactions on Communications, Vol. 52, No. 11,
Nov, 2004.
[12] Mohd Al Hafiz Bin Osman, Modelling Rayleigh
Propagation and effect in Wireless Communication channel
using matlab,May,2008.
[13] R. H. Clarke, A statistical theory of mobile-radio
reception, Bell Syst.Tech. J., pp. 9571000, JulyAug.
1968.
Proceedings of 2013 IEEE Conference on Information and Communication Technologies (ICT 2013)
978-1-4673-5758-6/13/$31.00 2013 IEEE 904
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For Further Details-A Vinay 9030333433,0877-2261612 5