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Princy Pathak Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 8( Version 6), August 2014, pp.49-55 
www.ijera.com 49 | P a g e 
A Novel Alamouti STBC Technique for MIMO System Using 16- QAM Modulation and Moving Average Filter Princy Pathak1, Prof. Rashmi Pandey2 1Research Scholar, M-Tech in Digital Communication, 2HOD, Deptt. of Electronics & Communication, VIT Bhopal 
Abstract The wireless communication is the emerging field of research among communication researchers and they are continuously working towards the reduction if error occurred in the signal during transmission through wireless media. In this paper the wireless system is simulated with the application of Alamouti space time block codes (STBC) with MIMO and MISO configurations to compare the results. The modulation technique used here is 16-QAM which is giving better results than other counterparts and to enhance the performance of the system i.e. to reduce the effect of errors on data we have applied a moving average filter(MAF). The performance of the system is shown with the simulation results with variable data sizes and found that the proposed approach is better for the system. 
Keywords- Alamouti STBC, QAM, MIMO and MISO. 
I. INTRODUCTION 
Multiple-input multiple-output (MIMO) system is known to exploit the antenna diversity to develop the performances of wireless communication systems using multiple antenna elements at the transmitter and receiver ends. The main objective of MIMO technology is to improve bit error rate (BER) or the data rate of the communication by applying signal processing techniques at each side of the system. The capacity increases linearly with the number of antennas while using MIMO however it gradually saturates. MIMO system can obtain both multiplexing gain and diversity gain which can help significantly increase the system capacity. The earliest studies considering MIMO channels were carried out by Foschini [2] and Telatar [3]. MIMO can be divided into two main classes, spatial multiplexing (SM) and STC. In a wireless communication system the mobile transceiver has a limited power and also the device is so small in size that placing multiple antennas on it would lead to correlation at the antennas due to small separation between them. To avoid this, the better thing to do is to use multiple transmit antennas on the base station and the mobile will have only one. This setting is called as Multiple Input Single Output (MISO) transmit-diversity. A scheme with two transmit and one receive antenna is a special case and is known as Alamouti STBC. The Alamouti scheme is well known since it provides full transmit diversity. For coherent detection the perfect channel state information is available at the receiver with consideration. On the other hand, when there is high mobility and the channel conditions are fluctuating rapidly it may be difficult to obtain perfect or close to 
perfect estimates for the channel. To improve this problem another space-time block coding techniques known as DSTBC has been proposed in [4]. In this technique, two serial transmitted symbols are encoded into phase differences and the receiver recovers the transmitted information by comparing the phase of the current symbol with the previously received symbol. Two antennas are used, to send two OFDM symbols and their conjugate functions, in two time slots, which bring a diversity gain without having to compromise on the data rate. Through the open air media, the transmitted symbols will suffer from channel fading and at the receiver, their sum would be received. Here is the schematic diagram of an Alamouti wireless system in 2x2 MIMO mode. Fig. 1.1 A 2x2 MIMO wireless system using the Alamouti block code Space-Time Block Codes 
Space-time block codes (STBC) are a generalized version of Alamouti scheme. These codes have the same key features. That is, they are orthogonal and can achieve full transmit diversity specified by the number of transmit antennas. In other words, space-time block codes are a complex version of Alamouti’s space-time code, where the encoding and decoding schemes are the same as in 
RESEARCH ARTICLE OPEN ACCESS
Princy Pathak Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 8( Version 6), August 2014, pp.49-55 
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both the transmitter and receiver sides. The data are constructed as a matrix which has its rows equal to the number of the transmit antennas and its columns equal to the number of the time slots required to transmit the data. At the receiver side, when signals are received, they are first combined and then sent to the maximum likelihood detector where the decision rules are applied. Space-time block code was designed to achieve the maximum diversity order for the given number of transmit and receive antennas subject to the constraint of having a simple decoding algorithm. Additionally, space-time block coding provides full diversity advantage but is not optimized for coding gain. In the following, different implementations of space-time block codes are explained in details. This includes the encoding, decoding and system performance for the two and four transmit antennas and two and four receive antennas for both real and complex signal constellations. 
II. SYSTEM MODEL 
Alamouti block code. It is a complex space-time diversity technique that can be used in 2x1 MISO mode or in a 2x2 MIMO mode. The Alamouti block code technique is the only complex block code that has a data rate of 1 while achieving maximum diversity gain. This performance has been achieved using the following space-time block code: Fig. 1.2 Alamouti space-time diversity technique Alamouti system is one of the first space times coding schemes developed for the MIMO systems which take advantage out of the added diversity of the space direction. Therefore we do not need extra bandwidth or much time. We can use this diversity to get a better bit error rate (BER). At the transmitter side, a block of two symbols is taken from the source data and sent to the modulator. Afterwards, the Alamouti space-time encoder takes the two modulated symbols, in this case and creates an encoding matrix where the symbol and are planned to be transmitted over two transmit antennas in two consecutive transmit time slots. The Alamouti encoding function matrix is as follows: 
A block diagram of the Alamouti ST encoder is shown in Figure 1.3. Fig. 1.3 Alamouti Space-Time Encoder. The Alamouti STBC scheme which has 2 transmit and Nr receive antennas can deliver a diversity order of 2 Nr [6]. Also, since for space time codes the rate is defined as R=k/p (where k is the number of modulated symbols the encoder takes as input and p is the number of transmit antennas) for the Alamouti STBC the rate equals 1. Alamouti STBC with multi (two) Receiver Antennas Alamouti scheme can also be used for multiple antennas at the receiver to achieve receive diversity. STBC scheme with two transmit and two receive antennas. Two receive antennas as explained in [7] would increase the diversity gain in comparison to systems with one receive antenna. The received signals , , and from two receive antennas, can be written as: Two combined signals that are sent to the maximum likelihood detector, the combiner in Figure 4.4 generates the following outputs As before the maximum likelihood decoding rule can be written as 
III. PROPOSED METHODOLOGY 
The noise is the only disturbing element which affected the transited signal as the case of Rayleigh fading, the MMSE-SISO detector cannot be use, and since the error probability is constant with the SNR.
Princy Pathak Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 8( Version 6), August 2014, pp.49-55 
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Fig. 3.1 Shows Block Diagram of Proposed Methodology In the case of MMSE-MIMO systems the bit error rate is decreasing more rapidly with the SNR than in the case of SISO system The MMSE-MIMO detector partially recovers the transmitted data, since the error probability is slowly decreasing with the SNR even after there is a need of improvement in existing system. In our Proposed Methodology we have proposed a novel filtration technique for reducing the Bit Error Rate (BER) on the present system scenario here we proposed the implementation of Moving Average Filter. The simulation would be performed in Matlab environment, and the results would be predicted for achieving a reliable error probability. The scope of filtering technique is to investigate the effect of MIMO technique on the performances achieves by the MMSE detector and reduce the error probability. The BER is used to evaluate and compare the system performances in various situations. In the final result, we expect much better system performance with respect to the level of performance achieved in Existing System. The given flow chart describes the complete simulation process under which firstly the initialization of signal processing environment variable has been done after this the generation of data is achieved then 16 QAM Modulator is adopted for modulation purpose then after the Alamouti STBC encoding technique is implemented through AWGN MIMO Channel with the consideration of Noise. In the receivers section received signal is recovered from STBC after this 16 QAM Demodulator is adopted for demodulation purpose then Moving Average Filter is implemented to get optimum relation between BER and Signal to Noise Ratio. 
Fig.3.2 Shows the Flow Chart of Complete Simulation Process. 
IV. SIMULATION RESULTS 
The simulation of the proposed approach is explained in this section. The results of the proposed system calculated as bit error rate as a figure of merit versus signal to noise ratio(SNR). The system is simulated under different data sizes and the variable iteration sizes. Simulation results are shown in below figures. In Fig. 4.1 the performance of the system in terms of BER is analyzed and it is calculated under multiple input single output system, and the 16-QAM modulation is used with 4 iterations. Whole system is test with 10 bits, 1000 bits and 100000 bits. There is need to enhance the performance of the system and can be done with the decrease in value of bit error rate i.e. reduction in errors, this moving average filter is used and the results with the filter is visible in the figure. 
Initialize Environmental Variable 
Generation of Data 
Alamouti STBC 
Start 
End 
16 QAM Modulation 
MIMO Channel with AWGN 
Noise Addition 
Recover Signal from STBC 
Demodulation 16 QAM 
Apply Moving Average Filter 
Display Result
Princy Pathak Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 8( Version 6), August 2014, pp.49-55 
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0 5 10 15 20 
-3 
-2.5 
-2 
-1.5 
-1 
-0.5 
0 
Plot of BER for Alamouti MISO(2x1) for 16-QAM with Variable Data and 4 Iterations 
SNR(dB) --> 
log(BER) --> 
101 Bits Data 
103 Bits Data 
106 Bits Data 
101 Bits Data + Moving Average Filter 
103 Bits Data + Moving Average Filter 
106 Bits Data + Moving Average Filter 
Fig. 4.1 BER performance of proposed system with 
MISO and moving average filter applying 4 iterations 
In Fig. 4.2 the performance of the system in 
terms of BER is analyzed and it is calculated under 
multiple input single output system, and the 16-QAM 
modulation is used with 6 iterations. Whole system is 
test with 10 bits, 1000 bits and 100000 bits. The 
results with and without the moving average filter is 
visible in the figure. 
0 5 10 15 20 
-3 
-2.5 
-2 
-1.5 
-1 
-0.5 
0 
Plot of BER for Alamouti MISO(2x1) for 16-QAM with Variable Data and 6 Iterations 
SNR(dB) --> 
log(BER) --> 
101 Bits Data 
103 Bits Data 
106 Bits Data 
101 Bits Data + Moving Average Filter 
103 Bits Data + Moving Average Filter 
106 Bits Data + Moving Average Filter 
Fig. 4.2 BER performance of proposed system with 
MISO and moving average filter applying 6 iterations 
In Fig. 4.3 the performance of the system in 
terms of BER is analyzed and it is calculated under 
multiple input single output system, and the 16-QAM 
modulation is used with 10 iterations. Whole system 
is test with 10 bits, 1000 bits and 100000 bits. The 
results with and without the moving average filter is 
visible in the figure. 
0 5 10 15 20 
-3 
-2.5 
-2 
-1.5 
-1 
-0.5 
0 
Plot of BER for Alamouti MISO(2x1) for 16-QAM with Variable Data and 10 Iterations 
SNR(dB) --> 
log(BER) --> 
101 Bits Data 
103 Bits Data 
106 Bits Data 
101 Bits Data + Moving Average Filter 
103 Bits Data + Moving Average Filter 
106 Bits Data + Moving Average Filter 
Fig. 4.3 BER performance of proposed system with 
MISO and moving average filter applying 10 
iterations 
From the above results it is clear that the system 
performance is for lower data is better with higher 
iteration rate and it decreases with increase in data 
sizes but it can be less considerable because the 
changes is minor. 
0 5 10 15 20 
-6 
-5 
-4 
-3 
-2 
-1 
0 
Plot of BER for Alamouti MIMO(2x2) for 16-QAM with Variable Data and 4 Iterations 
SNR(dB) ----> 
log(BER) ----> 
101 Bits Data 
103 Bits Data 
106 Bits Data 
101 Bits Data + Moving Average Filter 
103 Bits Data + Moving Average Filter 
106 Bits Data + Moving Average Filter 
Fig. 4.4 BER performance of proposed system with 
MIMO and moving average filter applying 4 
iterations 
After testing system with multiple input and 
single output(MISO) here now tested with multiple 
input multiple output (MIMO) system and with the 
increase in number of receiver antenna the recovery 
of the signal is more than MISO configuration and 
the performance of the system quite better. 
In Fig. 4.4 the performance of the system in 
terms of BER is analyzed and it is calculated under 
multiple input multiple output system, and the 16- 
QAM modulation is used with 4 iterations. Whole 
system is test with 10 bits, 1000 bits and 100000 bits. 
The results with and without the moving average 
filter is visible in the figure.
Princy Pathak Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 8( Version 6), August 2014, pp.49-55 
www.ijera.com 53 | P a g e 
0 5 10 15 20 
-6 
-5 
-4 
-3 
-2 
-1 
0 
Plot of BER for Alamouti MIMO(2x2) for 16-QAM with Variable Data and 6 Iterations 
SNR(dB) ----> 
log(BER) ----> 
101 Bits Data 
103 Bits Data 
106 Bits Data 
101 Bits Data + Moving Average Filter 
103 Bits Data + Moving Average Filter 
106 Bits Data + Moving Average Filter 
Fig. 4.5 BER performance of proposed system with 
MIMO and moving average filter applying 6 
iterations 
In Fig. 4.5 the performance of the system in 
terms of BER is analyzed and it is calculated under 
multiple input multiple output system, and the 16- 
QAM modulation is used with 6 iterations. Whole 
system is test with 10 bits, 1000 bits and 100000 bits. 
The results with and without the moving average 
filter is visible in the figure. 
In Fig. 4.6 the performance of the system in 
terms of BER is analyzed and it is calculated under 
multiple input multiple output system, and the 16- 
QAM modulation is used with 10 iterations. Whole 
system is test with 10 bits, 1000 bits and 100000 bits. 
The results with and without the moving average 
filter is visible in the figure. 
From the above results for MIMO it is clear that 
the system performance is for lower data is better 
with higher iteration rate and it decreases with 
increase in data sizes but it can be less considerable 
because the changes is minor, and the system 
outperform with MIMO as compared to MISO 
configuration and far better with moving average 
filter. 
0 5 10 15 20 
-6 
-5 
-4 
-3 
-2 
-1 
0 
Plot of BER for Alamouti MIMO(2x2) for 16-QAM with Variable Data and 10 Iterations 
SNR(dB) ----> 
log(BER) ----> 
101 Bits Data 
103 Bits Data 
106 Bits Data 
101 Bits Data + Moving Average Filter 
103 Bits Data + Moving Average Filter 
106 Bits Data + Moving Average Filter 
Fig. 4.6 BER performance of proposed system with 
MIMO and moving average filter applying 10 
iterations 
V. CONCLUSION AND FUTURE SCOPE 
Simulation if system is better with multiple input 
and multiple output as cleared from the results 
explained in the previous section. The system with 
16-QAM is tested and the with the application of 
moving average filter enhanced far better because of 
reduction in error occurred during transmission. 
System changes its characteristics with the variable 
data size but not rapid change in performance is 
visible. So the proposed methodology is good for the 
better performance of the system compared to 
previous methods. 
In future the system and its performance will be 
improved by the use of some efficient filtering 
technique as well as complex modulation scheme 
added advantage with this. 
REFERENCES 
[1] Chee Wei Tan, A. Robert Calder bank, 
“Multiuser Detection of Alamouti Signals”, 
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[2] G.J. Foschini and M. Gans," On limits of 
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Princy Pathak Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 8( Version 6), August 2014, pp.49-55 
www.ijera.com 54 | P a g e 
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[21] H. Bolcskei and A. J. Paulraj, “Space- frequency codes for broadband fading channels,” in Proc. IEEE ISIT, Washington, DC, Jun. 2001, pp. 219–219. [22] H. Bolcskei, M. Borgmann, and A. J. Paulraj, “Space-frequency coded MIMO- OFDM with variable multiplexing-diversity tradeoff,” in Proc. IEEE ICC, Anchorage, AK, May 2003, pp. 2837–2841. [23] F. Fazel and H. Jafarkhani, “Quasi- orthogonal space-frequency and space-time- frequency block codes for MIMO OFDM channels,” IEEE Trans. Wireless Commun., vol. 7, no. 1, pp. 184-192, Jan. 2008. [24] M. R. Bhavani S. and K. V. S. Hari, “Systematic construction of linear transform based full-Diversity, rate-one space–time frequency codes,” IEEE Trans. Signal Process., vol. 57, no. 6, pp. 2285-2298, Jun. 2009. [25] W. Zhang, X.-G. Xia, and P. C. Ching, Full- diversity and fast ML decoding properties of general orthogonal space-time block codes for MIMO-OFDM systems, IEEE Trans. on Wireless Commun., vol. 6, no. 5, pp. 1647- 1653, May 2007. [26] T. Kiran and B. S. Rajan, A systematic design of high-rate full diversity space frequency codes for MIMO-OFDM systems, in Proc. IEEE ISIT, 2005, pp. 2075-2079. [27] W. Zhang and X.-G. Xia, A systematic design of space-time block codes achieving full-diversity and partial interference cancellation group decoding, in Proc. IEEE Globecom, Hawaii, USA, Nov., 2009. [28] X. Guo and X.-G. Xia, on full diversity space-time block codes with partial interference cancellation group decoding, IEEE Trans. Inf. Theory, vol. 55, [29] Chengrong Huang, Ying Guo and Moon Ho Lee, “High-rate Full-diversity Space-Time- Frequency Codes with Partial Interference Cancellation Decoding” 2012 International Conference on Computer Science and Electronics Engineering, IEEE. [30] A. Cortes, I. Velez, M. Turrillas and J. F. Sevillano," Fast Fourier Transform Processors: Implementing FFT and IFFT Cores for OFDM Communication Systems," TECNUN (Universidad de Navarra) and CEIT Spain. 
[31] P. Payaswini and D.H. Manjaiah, "Analysis of effect of Cyclic Prefix on Data Rate OFDM Modulation Techniques," International Journal of Advanced Computer
Princy Pathak Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 8( Version 6), August 2014, pp.49-55 
www.ijera.com 55 | P a g e 
and Mathematical Sciences ISSN 2230- 9624, Vol 3, Issue 4, pp .465-470, 2012.55 [32] Georg Maier, Alexander Paier and Christoph F. Mecklenbr ¨auker, “Performance Evaluation of IEEE 802.11p Infrastructure- to-Vehicle Real-World Measurements with Receive Diversity” IEEE 2012. [33] Youssef Nasser, Jean-François Hélard, Mathieu Crussière, Oudomsack Pasquero, “Efficient MIMO-OFDM Schemes for Future Terrestrial Digital TV with Unequal Received Powers”, IEEE Communications Society, 2008 [34] V. Tarokh, and H. Jafarkhani, "A differential detection scheme for transmit diversity," IEEE Journal on Selected Areas in Communications, 18 (7): July 2000. 1169– 74. [35] A. G. Dabak, S. Hosur, T.Schmidl and C. Sengupta, "A comparison of the open loop transmit diversity schemes for third generation wireless Systems," No. 1, 2000. [36] J.-C. Belfiore, G. Rekaya, and E. Viterbo, “The Golden code: a 2×2full- rate space- time code with nonanishing determinants,” IEEE Trans. Inf. Theory, vol. 51, no. 4, pp. 1432–1436, Apr. 2005. [37] G. Ganesan, and P. Stoica, "Differential modulation using space-time block code" IEEE Signal Processing Letters, 9 (2), pp. 57–60, 2002. [38] H. Jafarkhani, "Space time coding theory and practice," Cambridge University Press, pp. 195-200, 2005. [39] Wireless OFDM Systems. The University of Texas at Austin from http://www.ece.utexas.edu/~rheath/research [40] R. John Barry and A. Edward Lee, " Digital Communication," Kluwer Academic Publisher: Third Edition. Authors Profile 
Princy Pathak is research scholar at Vedica Institute of Technology, Bhopal. She is pursuing her M. Tech. In Digital Communication. She has keen interest in Signals and System in which she is working on Space Time Diversity for modern digital communication.

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A Novel Alamouti STBC Technique for MIMO System Using 16- QAM Modulation and Moving Average Filter

  • 1. Princy Pathak Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 8( Version 6), August 2014, pp.49-55 www.ijera.com 49 | P a g e A Novel Alamouti STBC Technique for MIMO System Using 16- QAM Modulation and Moving Average Filter Princy Pathak1, Prof. Rashmi Pandey2 1Research Scholar, M-Tech in Digital Communication, 2HOD, Deptt. of Electronics & Communication, VIT Bhopal Abstract The wireless communication is the emerging field of research among communication researchers and they are continuously working towards the reduction if error occurred in the signal during transmission through wireless media. In this paper the wireless system is simulated with the application of Alamouti space time block codes (STBC) with MIMO and MISO configurations to compare the results. The modulation technique used here is 16-QAM which is giving better results than other counterparts and to enhance the performance of the system i.e. to reduce the effect of errors on data we have applied a moving average filter(MAF). The performance of the system is shown with the simulation results with variable data sizes and found that the proposed approach is better for the system. Keywords- Alamouti STBC, QAM, MIMO and MISO. I. INTRODUCTION Multiple-input multiple-output (MIMO) system is known to exploit the antenna diversity to develop the performances of wireless communication systems using multiple antenna elements at the transmitter and receiver ends. The main objective of MIMO technology is to improve bit error rate (BER) or the data rate of the communication by applying signal processing techniques at each side of the system. The capacity increases linearly with the number of antennas while using MIMO however it gradually saturates. MIMO system can obtain both multiplexing gain and diversity gain which can help significantly increase the system capacity. The earliest studies considering MIMO channels were carried out by Foschini [2] and Telatar [3]. MIMO can be divided into two main classes, spatial multiplexing (SM) and STC. In a wireless communication system the mobile transceiver has a limited power and also the device is so small in size that placing multiple antennas on it would lead to correlation at the antennas due to small separation between them. To avoid this, the better thing to do is to use multiple transmit antennas on the base station and the mobile will have only one. This setting is called as Multiple Input Single Output (MISO) transmit-diversity. A scheme with two transmit and one receive antenna is a special case and is known as Alamouti STBC. The Alamouti scheme is well known since it provides full transmit diversity. For coherent detection the perfect channel state information is available at the receiver with consideration. On the other hand, when there is high mobility and the channel conditions are fluctuating rapidly it may be difficult to obtain perfect or close to perfect estimates for the channel. To improve this problem another space-time block coding techniques known as DSTBC has been proposed in [4]. In this technique, two serial transmitted symbols are encoded into phase differences and the receiver recovers the transmitted information by comparing the phase of the current symbol with the previously received symbol. Two antennas are used, to send two OFDM symbols and their conjugate functions, in two time slots, which bring a diversity gain without having to compromise on the data rate. Through the open air media, the transmitted symbols will suffer from channel fading and at the receiver, their sum would be received. Here is the schematic diagram of an Alamouti wireless system in 2x2 MIMO mode. Fig. 1.1 A 2x2 MIMO wireless system using the Alamouti block code Space-Time Block Codes Space-time block codes (STBC) are a generalized version of Alamouti scheme. These codes have the same key features. That is, they are orthogonal and can achieve full transmit diversity specified by the number of transmit antennas. In other words, space-time block codes are a complex version of Alamouti’s space-time code, where the encoding and decoding schemes are the same as in RESEARCH ARTICLE OPEN ACCESS
  • 2. Princy Pathak Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 8( Version 6), August 2014, pp.49-55 www.ijera.com 50 | P a g e both the transmitter and receiver sides. The data are constructed as a matrix which has its rows equal to the number of the transmit antennas and its columns equal to the number of the time slots required to transmit the data. At the receiver side, when signals are received, they are first combined and then sent to the maximum likelihood detector where the decision rules are applied. Space-time block code was designed to achieve the maximum diversity order for the given number of transmit and receive antennas subject to the constraint of having a simple decoding algorithm. Additionally, space-time block coding provides full diversity advantage but is not optimized for coding gain. In the following, different implementations of space-time block codes are explained in details. This includes the encoding, decoding and system performance for the two and four transmit antennas and two and four receive antennas for both real and complex signal constellations. II. SYSTEM MODEL Alamouti block code. It is a complex space-time diversity technique that can be used in 2x1 MISO mode or in a 2x2 MIMO mode. The Alamouti block code technique is the only complex block code that has a data rate of 1 while achieving maximum diversity gain. This performance has been achieved using the following space-time block code: Fig. 1.2 Alamouti space-time diversity technique Alamouti system is one of the first space times coding schemes developed for the MIMO systems which take advantage out of the added diversity of the space direction. Therefore we do not need extra bandwidth or much time. We can use this diversity to get a better bit error rate (BER). At the transmitter side, a block of two symbols is taken from the source data and sent to the modulator. Afterwards, the Alamouti space-time encoder takes the two modulated symbols, in this case and creates an encoding matrix where the symbol and are planned to be transmitted over two transmit antennas in two consecutive transmit time slots. The Alamouti encoding function matrix is as follows: A block diagram of the Alamouti ST encoder is shown in Figure 1.3. Fig. 1.3 Alamouti Space-Time Encoder. The Alamouti STBC scheme which has 2 transmit and Nr receive antennas can deliver a diversity order of 2 Nr [6]. Also, since for space time codes the rate is defined as R=k/p (where k is the number of modulated symbols the encoder takes as input and p is the number of transmit antennas) for the Alamouti STBC the rate equals 1. Alamouti STBC with multi (two) Receiver Antennas Alamouti scheme can also be used for multiple antennas at the receiver to achieve receive diversity. STBC scheme with two transmit and two receive antennas. Two receive antennas as explained in [7] would increase the diversity gain in comparison to systems with one receive antenna. The received signals , , and from two receive antennas, can be written as: Two combined signals that are sent to the maximum likelihood detector, the combiner in Figure 4.4 generates the following outputs As before the maximum likelihood decoding rule can be written as III. PROPOSED METHODOLOGY The noise is the only disturbing element which affected the transited signal as the case of Rayleigh fading, the MMSE-SISO detector cannot be use, and since the error probability is constant with the SNR.
  • 3. Princy Pathak Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 8( Version 6), August 2014, pp.49-55 www.ijera.com 51 | P a g e Fig. 3.1 Shows Block Diagram of Proposed Methodology In the case of MMSE-MIMO systems the bit error rate is decreasing more rapidly with the SNR than in the case of SISO system The MMSE-MIMO detector partially recovers the transmitted data, since the error probability is slowly decreasing with the SNR even after there is a need of improvement in existing system. In our Proposed Methodology we have proposed a novel filtration technique for reducing the Bit Error Rate (BER) on the present system scenario here we proposed the implementation of Moving Average Filter. The simulation would be performed in Matlab environment, and the results would be predicted for achieving a reliable error probability. The scope of filtering technique is to investigate the effect of MIMO technique on the performances achieves by the MMSE detector and reduce the error probability. The BER is used to evaluate and compare the system performances in various situations. In the final result, we expect much better system performance with respect to the level of performance achieved in Existing System. The given flow chart describes the complete simulation process under which firstly the initialization of signal processing environment variable has been done after this the generation of data is achieved then 16 QAM Modulator is adopted for modulation purpose then after the Alamouti STBC encoding technique is implemented through AWGN MIMO Channel with the consideration of Noise. In the receivers section received signal is recovered from STBC after this 16 QAM Demodulator is adopted for demodulation purpose then Moving Average Filter is implemented to get optimum relation between BER and Signal to Noise Ratio. Fig.3.2 Shows the Flow Chart of Complete Simulation Process. IV. SIMULATION RESULTS The simulation of the proposed approach is explained in this section. The results of the proposed system calculated as bit error rate as a figure of merit versus signal to noise ratio(SNR). The system is simulated under different data sizes and the variable iteration sizes. Simulation results are shown in below figures. In Fig. 4.1 the performance of the system in terms of BER is analyzed and it is calculated under multiple input single output system, and the 16-QAM modulation is used with 4 iterations. Whole system is test with 10 bits, 1000 bits and 100000 bits. There is need to enhance the performance of the system and can be done with the decrease in value of bit error rate i.e. reduction in errors, this moving average filter is used and the results with the filter is visible in the figure. Initialize Environmental Variable Generation of Data Alamouti STBC Start End 16 QAM Modulation MIMO Channel with AWGN Noise Addition Recover Signal from STBC Demodulation 16 QAM Apply Moving Average Filter Display Result
  • 4. Princy Pathak Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 8( Version 6), August 2014, pp.49-55 www.ijera.com 52 | P a g e 0 5 10 15 20 -3 -2.5 -2 -1.5 -1 -0.5 0 Plot of BER for Alamouti MISO(2x1) for 16-QAM with Variable Data and 4 Iterations SNR(dB) --> log(BER) --> 101 Bits Data 103 Bits Data 106 Bits Data 101 Bits Data + Moving Average Filter 103 Bits Data + Moving Average Filter 106 Bits Data + Moving Average Filter Fig. 4.1 BER performance of proposed system with MISO and moving average filter applying 4 iterations In Fig. 4.2 the performance of the system in terms of BER is analyzed and it is calculated under multiple input single output system, and the 16-QAM modulation is used with 6 iterations. Whole system is test with 10 bits, 1000 bits and 100000 bits. The results with and without the moving average filter is visible in the figure. 0 5 10 15 20 -3 -2.5 -2 -1.5 -1 -0.5 0 Plot of BER for Alamouti MISO(2x1) for 16-QAM with Variable Data and 6 Iterations SNR(dB) --> log(BER) --> 101 Bits Data 103 Bits Data 106 Bits Data 101 Bits Data + Moving Average Filter 103 Bits Data + Moving Average Filter 106 Bits Data + Moving Average Filter Fig. 4.2 BER performance of proposed system with MISO and moving average filter applying 6 iterations In Fig. 4.3 the performance of the system in terms of BER is analyzed and it is calculated under multiple input single output system, and the 16-QAM modulation is used with 10 iterations. Whole system is test with 10 bits, 1000 bits and 100000 bits. The results with and without the moving average filter is visible in the figure. 0 5 10 15 20 -3 -2.5 -2 -1.5 -1 -0.5 0 Plot of BER for Alamouti MISO(2x1) for 16-QAM with Variable Data and 10 Iterations SNR(dB) --> log(BER) --> 101 Bits Data 103 Bits Data 106 Bits Data 101 Bits Data + Moving Average Filter 103 Bits Data + Moving Average Filter 106 Bits Data + Moving Average Filter Fig. 4.3 BER performance of proposed system with MISO and moving average filter applying 10 iterations From the above results it is clear that the system performance is for lower data is better with higher iteration rate and it decreases with increase in data sizes but it can be less considerable because the changes is minor. 0 5 10 15 20 -6 -5 -4 -3 -2 -1 0 Plot of BER for Alamouti MIMO(2x2) for 16-QAM with Variable Data and 4 Iterations SNR(dB) ----> log(BER) ----> 101 Bits Data 103 Bits Data 106 Bits Data 101 Bits Data + Moving Average Filter 103 Bits Data + Moving Average Filter 106 Bits Data + Moving Average Filter Fig. 4.4 BER performance of proposed system with MIMO and moving average filter applying 4 iterations After testing system with multiple input and single output(MISO) here now tested with multiple input multiple output (MIMO) system and with the increase in number of receiver antenna the recovery of the signal is more than MISO configuration and the performance of the system quite better. In Fig. 4.4 the performance of the system in terms of BER is analyzed and it is calculated under multiple input multiple output system, and the 16- QAM modulation is used with 4 iterations. Whole system is test with 10 bits, 1000 bits and 100000 bits. The results with and without the moving average filter is visible in the figure.
  • 5. Princy Pathak Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 8( Version 6), August 2014, pp.49-55 www.ijera.com 53 | P a g e 0 5 10 15 20 -6 -5 -4 -3 -2 -1 0 Plot of BER for Alamouti MIMO(2x2) for 16-QAM with Variable Data and 6 Iterations SNR(dB) ----> log(BER) ----> 101 Bits Data 103 Bits Data 106 Bits Data 101 Bits Data + Moving Average Filter 103 Bits Data + Moving Average Filter 106 Bits Data + Moving Average Filter Fig. 4.5 BER performance of proposed system with MIMO and moving average filter applying 6 iterations In Fig. 4.5 the performance of the system in terms of BER is analyzed and it is calculated under multiple input multiple output system, and the 16- QAM modulation is used with 6 iterations. Whole system is test with 10 bits, 1000 bits and 100000 bits. The results with and without the moving average filter is visible in the figure. In Fig. 4.6 the performance of the system in terms of BER is analyzed and it is calculated under multiple input multiple output system, and the 16- QAM modulation is used with 10 iterations. Whole system is test with 10 bits, 1000 bits and 100000 bits. The results with and without the moving average filter is visible in the figure. From the above results for MIMO it is clear that the system performance is for lower data is better with higher iteration rate and it decreases with increase in data sizes but it can be less considerable because the changes is minor, and the system outperform with MIMO as compared to MISO configuration and far better with moving average filter. 0 5 10 15 20 -6 -5 -4 -3 -2 -1 0 Plot of BER for Alamouti MIMO(2x2) for 16-QAM with Variable Data and 10 Iterations SNR(dB) ----> log(BER) ----> 101 Bits Data 103 Bits Data 106 Bits Data 101 Bits Data + Moving Average Filter 103 Bits Data + Moving Average Filter 106 Bits Data + Moving Average Filter Fig. 4.6 BER performance of proposed system with MIMO and moving average filter applying 10 iterations V. CONCLUSION AND FUTURE SCOPE Simulation if system is better with multiple input and multiple output as cleared from the results explained in the previous section. The system with 16-QAM is tested and the with the application of moving average filter enhanced far better because of reduction in error occurred during transmission. System changes its characteristics with the variable data size but not rapid change in performance is visible. So the proposed methodology is good for the better performance of the system compared to previous methods. In future the system and its performance will be improved by the use of some efficient filtering technique as well as complex modulation scheme added advantage with this. REFERENCES [1] Chee Wei Tan, A. Robert Calder bank, “Multiuser Detection of Alamouti Signals”, IEEE transactions on communications, vol. 57, no.7, July 2009 [2] G.J. Foschini and M. Gans," On limits of wireless communications in fading environment when using multiple antennas," Wireless Pers. Commun. 6: 311-335, 1998. [3] I. E. Telatar,"Capacity of multi antenna Gaussian channels, "European Trans. Telecommun. 10 (6): 585-595, Nov-Dec 1999. [4] V. Tarokh, N. Seshadri, and A. R. Calderbank, “Space-time codes for high data rate wireless communication: Performance criterion and code. Construction,” IEEE Trans. Inf. Theory, vol. 44, pp. 744–765, Mar. 1998. [5] S. Alamouti, “A simple transmit diversity technique for wireless communications,” IEEE J. Sel. Areas Commun., vol. 16, no. 8, pp. 1451–1458, Aug. 1998. [6] V. Tarokh, H. Jafarkhani and A. Calderbank, " Space–Time Block Coding for Wireless Communications: Performance Results," IEEE Journal on selected Areas Communications, Vol. 17, No. 3, pp. 451- 459, March 1999. [7] V. Tarokh, H. Jafarkhani, and A. R. Calderbank, “Space-time block codes from orthogonal designs,” IEEE Trans. Inf. Theory, vol. 45, no. 5, pp. 1456–1467, Jul. 1999. [8] H. Jafarkhani, “A quasi-orthogonal space-time block code,” IEEE Trans. Commun., vol. 49, no. 1, Jan. 2001. [9] M. Fozunbal, S. W. McLaughlin, and R. W. Schafer, “On space-time- frequency coding over MIMO-OFDM systems,” IEEE Trans.
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  • 7. Princy Pathak Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 8( Version 6), August 2014, pp.49-55 www.ijera.com 55 | P a g e and Mathematical Sciences ISSN 2230- 9624, Vol 3, Issue 4, pp .465-470, 2012.55 [32] Georg Maier, Alexander Paier and Christoph F. Mecklenbr ¨auker, “Performance Evaluation of IEEE 802.11p Infrastructure- to-Vehicle Real-World Measurements with Receive Diversity” IEEE 2012. [33] Youssef Nasser, Jean-François Hélard, Mathieu Crussière, Oudomsack Pasquero, “Efficient MIMO-OFDM Schemes for Future Terrestrial Digital TV with Unequal Received Powers”, IEEE Communications Society, 2008 [34] V. Tarokh, and H. Jafarkhani, "A differential detection scheme for transmit diversity," IEEE Journal on Selected Areas in Communications, 18 (7): July 2000. 1169– 74. [35] A. G. Dabak, S. Hosur, T.Schmidl and C. Sengupta, "A comparison of the open loop transmit diversity schemes for third generation wireless Systems," No. 1, 2000. [36] J.-C. Belfiore, G. Rekaya, and E. Viterbo, “The Golden code: a 2×2full- rate space- time code with nonanishing determinants,” IEEE Trans. Inf. Theory, vol. 51, no. 4, pp. 1432–1436, Apr. 2005. [37] G. Ganesan, and P. Stoica, "Differential modulation using space-time block code" IEEE Signal Processing Letters, 9 (2), pp. 57–60, 2002. [38] H. Jafarkhani, "Space time coding theory and practice," Cambridge University Press, pp. 195-200, 2005. [39] Wireless OFDM Systems. The University of Texas at Austin from http://www.ece.utexas.edu/~rheath/research [40] R. John Barry and A. Edward Lee, " Digital Communication," Kluwer Academic Publisher: Third Edition. Authors Profile Princy Pathak is research scholar at Vedica Institute of Technology, Bhopal. She is pursuing her M. Tech. In Digital Communication. She has keen interest in Signals and System in which she is working on Space Time Diversity for modern digital communication.