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ISSN (Online) 2278-1021
ISSN (Print) 2319 5940
International Journal of Advanced Research in Computer and Communication Engineering
Vol. 4, Issue 10, October 2015
Copyright to IJARCCE DOI 10.17148/IJARCCE.2015.410115 508
Computer-Based Comparative Analysis of BPSK
versus other PSK Modulation Models
B. O. Omijeh1
, C. E. Adabanya2
Department of Electronic & Computer Engineering, University of Port Harcourt, Choba, Port Harcourt, Nigeria1
Centre for Information and Telecommunications Engg, University of Port Harcourt, Choba, Port Harcourt, Nigeria2
Abstract: Digital communication has been experiencing a lot of tremendous growth and success. It employs digital
technique of modulation and demodulation which makes it more efficient, complex and secure in long distance
transmission than its analogue counterpart. Of various types of digital modulation, Binary Phase shift Keying (BPSK)
technique of modulation is believed to be reliable in long distance transmission with minimal errors. In this paper,
computer based analysis is been carried out to comparatively model and analyse BPSK technique along-side other M-
PSK techniques over an AWGN channel paying specific attention to the bit error rates(BER), number of errors and
number of samples generated by the MATLAB simulation. The MATLAB simulation results show the BPSK method
proves to be a better technique where distance and error generation are top factors to be considered.
Keywords: Modulation, BPSK, BER, AWGN channel.
I. INTRODUCTION
The transit to digital modulation provides more
information capacity and unanimity with digital data
services, higher data security, better quality
communications, and quicker system availability. The aim
of a digital communication system is to convey digital data
between two or more nodes. Digital modulation
techniques possess greater capacity to transport large
amounts of traffic than analogue modulation technique[1]
In radio communications this is usually achieved by
adjusting a physical characteristic of a sinusoidal carrier,
either the frequency, phase, amplitude or a combination
thereof by a digital signal usually “1”s and “0”s. This is
performed in real systems with a modulator at the
transmitting end and a detector at the receiving end [2]
The modulator imposes the physical change to the carrier
and a demodulator detects the resultant modulation on
reception of various Digital modulation techniques [3]
BPSK is one of the simplest, most robust of all the PSK
techniques .The BPSK modulation and demodulation is
designed using MATLAB Simulink [4].
In this paper, implementation of BPSK modulation and
demodulation over an AWGN channel has received
considerable attention due to their low error rate, high
flexibility, low cost, and high speed.
II. RELATED WORKS
[5] In their paper, presented why BPSK is normally used
for high speed data transfer application, and that it
provides a 3dB power advantage over the BASK
modulation technique and is robust and simple in
implementation. It also provides small error rates than any
other systems.
[6] in his paper compared the Bit Error Ratio performance
when the input of Reed-Solomon (RS) Encoder- Decoder
is Integer and Binary to the M-ary frequency shift keying
(MFSK) under AWGN, multipath Rayleigh and Rician
fading channels. The results show the binary input RS
encoder has best BER performance under Rayleigh fading
when the value of M is 2.
Fig. 1: A TYPICAL BPSK MODEL (Math works, 2009)
MODELING AND ANALYSIS OF A BPSK TECHNIQUE BASED- CHANNEL
Scope1
Error Rate
Calculation
Tx
Rx
Error Rate
Calculation Display
Discrete-Time
Scatter Plot
Scope
Bernoulli
Binary
Bernoulli Binary
Generator
BPSK
BPSK
Modulator
Baseband
BPSK
BPSK
Demodulator
Baseband
AWGN
AWGN
Channel
ISSN (Online) 2278-1021
ISSN (Print) 2319 5940
International Journal of Advanced Research in Computer and Communication Engineering
Vol. 4, Issue 10, October 2015
Copyright to IJARCCE DOI 10.17148/IJARCCE.2015.410115 509
[7] In their paper, the Design of Digital Modulators:
BASK, BPSK and BFSK using VHDL, demonstrated the
functionality of these digital modulators through
simulations using the Quartus II software and
experimental measurements of the real-time modulated
signal via an oscilloscope [8][9][10].
III. METHODOLOGY
The following steps were taken to analyse the BPSK
model alongside the other M-PSK models;
 Simulation was run in intervals of 50 Matlab seconds
 Records were taken for Error rate, Number of Errors
generated and Number of Samples for the 2-PSK, 4-
PSK, 8-PSK and 16-PSK models
 The bpskdoc model in Simulink was enabled and
duplicated into three more models replacing the BPSK
modulator/demodulator with the 4-PSK, 8-PSK and
16-PSK modulators/demodulators as shown in Fig. 2
below
 In each model, the option „stop simulation‟ was
disabled to allow for runtime analyses in the Bit error
rate display.
Fig2: Comparative Models for BPSK versus M-PSK
IV. RESULTS AND DISCUSSION
 The BER (Bit error rate) value for the BPSK
modulation Technique was found to be very low and
stable over long sample times while the other MPSK
techniques had higher and fluctuating values over the
same periods. These results are noted in Table .1.
Fig .3 shows the relationship in BER of BPSK in
comparison to other MPSK.
Fig. 3: Overall BPSK Comparative Error Rate
The other MPSK techniques generated errors fasters and
in steady growth while the BPSK demonstrated a steady
flow generation of errors over long sampling periods.
These results are noted in Table 2.
TABLE 1: BER results for BPSK, QPSK, 8-PSK and
16-PSK modulation model at increasing simulation
time
Error Rate
Run Time BPSK QPSK 8-PSK 16-PSK
50 0 0.1373 0.3725 0.6078
100 0 0.1089 0.3564 0.6436
150 0.006623 0.106 0.3907 0.6755
200 0.004975 0.1144 0.3731 0.6667
250 0.001195 0.1076 0.3705 0.6494
300 0.009967 0.09967 0.3754 0.6512
350 0.008547 0.1054 0.3789 0.6439
400 0.007481 0.09726 0.3766 0.6434
450 0.00869 0.09534 0.3703 0.6452
500 0.00998 0.1058 0.3752 0.6467
550 0.01089 0.1089 0.3775 0.6407
600 0.01331 0.1115 0.3727 0.6356
650 0.01536 0.1075 0.3671 0.6313
700 0.01569 0.1041 0.3623 0.6334
750 0.01598 0.1025 0.3662 0.6365
800 0.01496 0.1049 0.3706 0.633
850 0.0141 0.1058 0.3854 0.6416
900 0.01443 0.1043 0.3896 0.6448
950 0.01367 0.1052 0.3891 0.6467
1000 0.01299 0.1029 0.3836 0.6424
ISSN (Online) 2278-1021
ISSN (Print) 2319 5940
International Journal of Advanced Research in Computer and Communication Engineering
Vol. 4, Issue 10, October 2015
Copyright to IJARCCE DOI 10.17148/IJARCCE.2015.410115 510
TABLE 2: No of errors generated from BPSK, QPSK,
8-PSK and 16-PSK modulation model at different
simulation time
V. CONCLUSION
From the Analysis of BPSK modulation versus the 4-PSK,
8-PSK, and the 16-PSK methods, it was found that the
BPSK method demonstrated very low error generation and
Bit error rate potential.
Therefore, the BPSK method proves to be a better
technique where distance and error generation are top
factors to be considered.
REFERENCES
[1] Haykin, Digital Communication, John Wiley & Sons, Inc., Replika
Press Pvt. Ltd., N. Delhi, India, 2000-2001
[2] Park, J (1978), On binary DPSK detection, IEEE
Trans.Communication, [online] Vol26 No 4,(April).pp484 -486.
[3] Sneda ,R & Pankaj A.(2014),Performance Evaluation of different
modulation Techniques on WCDMA For different multipath fading
channels.Inter.J.Eng.Res.Tech.Vol1 No2.pp65-69.Available at:
www.ijert.com
[4] Shruti, H & Pawar, M.(2014),BPSK Modulation Technique for
Digital Communication.IJAATER.[Online]. pp52-54.
[5] D.K.Sharma1
, A. Mishra2
& Rajiv Saxena3
, TECHNIA
International Journal of Computing Science and Communication
Technologies, VOL. 3, NO. 1, July 2010. (ISSN 0974-3375)
[6] Vaidya (2013),
[7] Neha, P & Ajay, P. (2013).Design of Digital Modulators.
International journal of Advanced Research in computer Science
and Software Engineering.[online] Vol 3.(January).p382-
386.Available from :www.ijarcsse.com.
[8] Sanjui,M & Tripathi,M.(2013),BPSK and QPSK Modulation
Techniques with optimum Tree based interleaver in iterative IDMA
Systems.IJCSN [online]Vol 1 No 2..(pp9-15)
[9] Omijeh.B.O and Biebuma.J.J(2013). Traffic Modelling For Capacity
Analysis of CDMA Networks using Lognormal Approximation
Method, IOSR Journal of Electronics and Communication
Engineering (IOSR-JECE),Volume 4, Issue 6 (Jan. - Feb. 2013), PP
42-50
[10] Omijeh, B.O, R. Okinege, R.Ochi (2013): “Traffic Modelling for
capacity analysis of CDMA Networks using Gaussian, International
Journal of Electronic , Communication and Computer Engineering
(IJECCE), Vol 5, N0. 3, 2013
No of Errors
Run Time BPSK QPSK 8-PSK 16-PSK
50 0 7 19 31
100 0 11 36 65
150 1 16 59 102
200 1 23 75 134
250 3 27 93 163
300 3 30 113 196
350 3 37 133 226
400 3 39 151 258
450 4 43 167 291
500 5 53 188 324
550 6 60 208 353
600 8 67 224 382
650 10 70 239 411
700 11 73 254 444
750 12 77 275 478
800 12 84 297 507
850 12 90 328 546
900 13 94 351 581
950 13 100 370 615
1000 13 103 384 643

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IJARCCE 115_2

  • 1. ISSN (Online) 2278-1021 ISSN (Print) 2319 5940 International Journal of Advanced Research in Computer and Communication Engineering Vol. 4, Issue 10, October 2015 Copyright to IJARCCE DOI 10.17148/IJARCCE.2015.410115 508 Computer-Based Comparative Analysis of BPSK versus other PSK Modulation Models B. O. Omijeh1 , C. E. Adabanya2 Department of Electronic & Computer Engineering, University of Port Harcourt, Choba, Port Harcourt, Nigeria1 Centre for Information and Telecommunications Engg, University of Port Harcourt, Choba, Port Harcourt, Nigeria2 Abstract: Digital communication has been experiencing a lot of tremendous growth and success. It employs digital technique of modulation and demodulation which makes it more efficient, complex and secure in long distance transmission than its analogue counterpart. Of various types of digital modulation, Binary Phase shift Keying (BPSK) technique of modulation is believed to be reliable in long distance transmission with minimal errors. In this paper, computer based analysis is been carried out to comparatively model and analyse BPSK technique along-side other M- PSK techniques over an AWGN channel paying specific attention to the bit error rates(BER), number of errors and number of samples generated by the MATLAB simulation. The MATLAB simulation results show the BPSK method proves to be a better technique where distance and error generation are top factors to be considered. Keywords: Modulation, BPSK, BER, AWGN channel. I. INTRODUCTION The transit to digital modulation provides more information capacity and unanimity with digital data services, higher data security, better quality communications, and quicker system availability. The aim of a digital communication system is to convey digital data between two or more nodes. Digital modulation techniques possess greater capacity to transport large amounts of traffic than analogue modulation technique[1] In radio communications this is usually achieved by adjusting a physical characteristic of a sinusoidal carrier, either the frequency, phase, amplitude or a combination thereof by a digital signal usually “1”s and “0”s. This is performed in real systems with a modulator at the transmitting end and a detector at the receiving end [2] The modulator imposes the physical change to the carrier and a demodulator detects the resultant modulation on reception of various Digital modulation techniques [3] BPSK is one of the simplest, most robust of all the PSK techniques .The BPSK modulation and demodulation is designed using MATLAB Simulink [4]. In this paper, implementation of BPSK modulation and demodulation over an AWGN channel has received considerable attention due to their low error rate, high flexibility, low cost, and high speed. II. RELATED WORKS [5] In their paper, presented why BPSK is normally used for high speed data transfer application, and that it provides a 3dB power advantage over the BASK modulation technique and is robust and simple in implementation. It also provides small error rates than any other systems. [6] in his paper compared the Bit Error Ratio performance when the input of Reed-Solomon (RS) Encoder- Decoder is Integer and Binary to the M-ary frequency shift keying (MFSK) under AWGN, multipath Rayleigh and Rician fading channels. The results show the binary input RS encoder has best BER performance under Rayleigh fading when the value of M is 2. Fig. 1: A TYPICAL BPSK MODEL (Math works, 2009) MODELING AND ANALYSIS OF A BPSK TECHNIQUE BASED- CHANNEL Scope1 Error Rate Calculation Tx Rx Error Rate Calculation Display Discrete-Time Scatter Plot Scope Bernoulli Binary Bernoulli Binary Generator BPSK BPSK Modulator Baseband BPSK BPSK Demodulator Baseband AWGN AWGN Channel
  • 2. ISSN (Online) 2278-1021 ISSN (Print) 2319 5940 International Journal of Advanced Research in Computer and Communication Engineering Vol. 4, Issue 10, October 2015 Copyright to IJARCCE DOI 10.17148/IJARCCE.2015.410115 509 [7] In their paper, the Design of Digital Modulators: BASK, BPSK and BFSK using VHDL, demonstrated the functionality of these digital modulators through simulations using the Quartus II software and experimental measurements of the real-time modulated signal via an oscilloscope [8][9][10]. III. METHODOLOGY The following steps were taken to analyse the BPSK model alongside the other M-PSK models;  Simulation was run in intervals of 50 Matlab seconds  Records were taken for Error rate, Number of Errors generated and Number of Samples for the 2-PSK, 4- PSK, 8-PSK and 16-PSK models  The bpskdoc model in Simulink was enabled and duplicated into three more models replacing the BPSK modulator/demodulator with the 4-PSK, 8-PSK and 16-PSK modulators/demodulators as shown in Fig. 2 below  In each model, the option „stop simulation‟ was disabled to allow for runtime analyses in the Bit error rate display. Fig2: Comparative Models for BPSK versus M-PSK IV. RESULTS AND DISCUSSION  The BER (Bit error rate) value for the BPSK modulation Technique was found to be very low and stable over long sample times while the other MPSK techniques had higher and fluctuating values over the same periods. These results are noted in Table .1. Fig .3 shows the relationship in BER of BPSK in comparison to other MPSK. Fig. 3: Overall BPSK Comparative Error Rate The other MPSK techniques generated errors fasters and in steady growth while the BPSK demonstrated a steady flow generation of errors over long sampling periods. These results are noted in Table 2. TABLE 1: BER results for BPSK, QPSK, 8-PSK and 16-PSK modulation model at increasing simulation time Error Rate Run Time BPSK QPSK 8-PSK 16-PSK 50 0 0.1373 0.3725 0.6078 100 0 0.1089 0.3564 0.6436 150 0.006623 0.106 0.3907 0.6755 200 0.004975 0.1144 0.3731 0.6667 250 0.001195 0.1076 0.3705 0.6494 300 0.009967 0.09967 0.3754 0.6512 350 0.008547 0.1054 0.3789 0.6439 400 0.007481 0.09726 0.3766 0.6434 450 0.00869 0.09534 0.3703 0.6452 500 0.00998 0.1058 0.3752 0.6467 550 0.01089 0.1089 0.3775 0.6407 600 0.01331 0.1115 0.3727 0.6356 650 0.01536 0.1075 0.3671 0.6313 700 0.01569 0.1041 0.3623 0.6334 750 0.01598 0.1025 0.3662 0.6365 800 0.01496 0.1049 0.3706 0.633 850 0.0141 0.1058 0.3854 0.6416 900 0.01443 0.1043 0.3896 0.6448 950 0.01367 0.1052 0.3891 0.6467 1000 0.01299 0.1029 0.3836 0.6424
  • 3. ISSN (Online) 2278-1021 ISSN (Print) 2319 5940 International Journal of Advanced Research in Computer and Communication Engineering Vol. 4, Issue 10, October 2015 Copyright to IJARCCE DOI 10.17148/IJARCCE.2015.410115 510 TABLE 2: No of errors generated from BPSK, QPSK, 8-PSK and 16-PSK modulation model at different simulation time V. CONCLUSION From the Analysis of BPSK modulation versus the 4-PSK, 8-PSK, and the 16-PSK methods, it was found that the BPSK method demonstrated very low error generation and Bit error rate potential. Therefore, the BPSK method proves to be a better technique where distance and error generation are top factors to be considered. REFERENCES [1] Haykin, Digital Communication, John Wiley & Sons, Inc., Replika Press Pvt. Ltd., N. Delhi, India, 2000-2001 [2] Park, J (1978), On binary DPSK detection, IEEE Trans.Communication, [online] Vol26 No 4,(April).pp484 -486. [3] Sneda ,R & Pankaj A.(2014),Performance Evaluation of different modulation Techniques on WCDMA For different multipath fading channels.Inter.J.Eng.Res.Tech.Vol1 No2.pp65-69.Available at: www.ijert.com [4] Shruti, H & Pawar, M.(2014),BPSK Modulation Technique for Digital Communication.IJAATER.[Online]. pp52-54. [5] D.K.Sharma1 , A. Mishra2 & Rajiv Saxena3 , TECHNIA International Journal of Computing Science and Communication Technologies, VOL. 3, NO. 1, July 2010. (ISSN 0974-3375) [6] Vaidya (2013), [7] Neha, P & Ajay, P. (2013).Design of Digital Modulators. International journal of Advanced Research in computer Science and Software Engineering.[online] Vol 3.(January).p382- 386.Available from :www.ijarcsse.com. [8] Sanjui,M & Tripathi,M.(2013),BPSK and QPSK Modulation Techniques with optimum Tree based interleaver in iterative IDMA Systems.IJCSN [online]Vol 1 No 2..(pp9-15) [9] Omijeh.B.O and Biebuma.J.J(2013). Traffic Modelling For Capacity Analysis of CDMA Networks using Lognormal Approximation Method, IOSR Journal of Electronics and Communication Engineering (IOSR-JECE),Volume 4, Issue 6 (Jan. - Feb. 2013), PP 42-50 [10] Omijeh, B.O, R. Okinege, R.Ochi (2013): “Traffic Modelling for capacity analysis of CDMA Networks using Gaussian, International Journal of Electronic , Communication and Computer Engineering (IJECCE), Vol 5, N0. 3, 2013 No of Errors Run Time BPSK QPSK 8-PSK 16-PSK 50 0 7 19 31 100 0 11 36 65 150 1 16 59 102 200 1 23 75 134 250 3 27 93 163 300 3 30 113 196 350 3 37 133 226 400 3 39 151 258 450 4 43 167 291 500 5 53 188 324 550 6 60 208 353 600 8 67 224 382 650 10 70 239 411 700 11 73 254 444 750 12 77 275 478 800 12 84 297 507 850 12 90 328 546 900 13 94 351 581 950 13 100 370 615 1000 13 103 384 643