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Ghousia Begum.K, IJRIT-103

International Journal of Research in Information Technology

(IJRIT)

www.ijrit.com ISSN 2001-5569

Design of MIMO based on Minimum Distance in Physical Network Coding System

Ghousia Begum.K,M.Tech Student Dept. of Electronics and Communication,

RYM Engineering College, Bellary Karnataka 583104, India.

[email protected]

Surendranath.H,Associate Professor Dept. of Electronics and Communication

RYM Engineering College, Bellary Karnataka 583104, India.

[email protected]

Abstract- In wireless communication, at communicating ends, multiple antennas are used to optimize speed, data integrity and minimize the errors, also for reliability and efficiency of a system. Conventional technologies that are habituated to use single antenna at communicating ends results in issues like intermittent reception, cut-off, fading. A trilinear precoding structure is proposed in which relays amplifies and forwards by combining the received signals and spreading signals across transmitting antennas before retransmission.

Because of tensor-based signal processing and efficient use of cooperative diversity, the method provides efficacious channel estimation solution. The Physical Network coding (PNC) approach improves the performance in the traditional relaying technical scenarios. In proposed work we are generalizing PNC to multiple antennas used in wireless communication. In wireless relay channel, to overcome fading effects, a relay selection method is popular approach due to its simplicity. In two way relaying systems, to achieve full diversity, relay selection with physical network coding maximizes minimum distance at the multiple access phases. The advantages of MIMO PNC: In single antenna PNC, removes stringent carrier-phase requirement and the next is linearity in complex with respect to size and number of simultaneous data stream in MIMO.

Keywords: MIMO, Relay, PNC, Amplify-and-forward, channels

I. INTRODUCTION

Single antenna is used at both the source and as well as at the destination in conventional technology. The electromagnetic field bounces off hills, buildings, canyons due to the effect of the multipath. At the receiving antenna, the signal reaching at multiple times may have different angle and this may cause problem like cut-off, fading, intermittent reception. This reduces the data rate and increases the error number (number of errors). Multiple antennas have got advantages at the both ends. It is used in minimizing the errors, optimizing speed and the data integrity. It also increases the spectral efficiency for transmission power. The system having multiple antennas at the both ends is called as multiple inputs and multiple outputs (MIMO) [4].

Recently, MIMO TWRCs have gained attraction as research interest due to efficient communication. The strategies compress and forward, decode and forward (DF) and amplify and forward (AF) performs well away from the capacity of the channel because of the multiplexing loss and noise amplification [3].

In wireless networks, over past several years, a relaying transmission is subjected to intense research in order to increase the system capacity and extend the coverage area. This also reduced the node to node transmission distance by which the power consumption can also be reduced. This leads relay systems with network coding [1].

The use of the relay has got many advantages in wireless networks. Taking into account the simple two way relay channel (TWRC).

The two end nodes transmit the data to the relay in different two time slots; the relay combine the two received signals and forms a network coded packet and then send it to the end nodes. Here, the number of time slots taken to exchange one data packet is 3. The

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Ghousia Begum.K, IJRIT-104 PNC allows the end nodes to send their data packets in the same time slot. The network coded packets are formed at the physical layer of the relay by transforming the superimposing packets received simultaneously. By this number of time slots required for the exchanging one packet is reduced by 1. This is the reason the PNC is getting more attention [10].

An amplify-and-Forward (AF) scheme provides spatial diversity to dispute versus fading, relay networks’ capacity estimation.

These schemes yields feasible lower bounds that are tend to be optimal in some scenarios of communication. For analog network coding, AF allows the mixing of the signals, given the broadcast nature of the wireless medium. The scheme achieves high throughput at internal nodes with low computational complexity [7].

Nowadays, bi-directional relay communications have also attracted enough importance currently. When the distance between the sources and the destinations is far from each other, the direct links are absent between them. The direct links are also absent the sources and the destinations when there are obstructions between. In bi-directional relay networks, transmission schemes have been analyzed and compared. In amplify-and-forward (AF) protocol based network coding, transmission takes place in two slots. In the first time slot, two source nodes transmit the data to the optimal relay selected. In the second time slot, relay receives a signal that is superimposed, and amplifies and then forwards back to both the source nodes. AF techniques make use of statistical knowledge of noise and the statistical knowledge of source to relay channel in order to assist in amplifying the signal [8], [11].

Recently, MIMO TWRCs have gained attraction as research interest due to efficient communication. The strategies compress and forward, decode and forward (DF) and amplify and forward (AF) performs well away from the capacity of the channel because of the multiplexing loss and noise amplification [6].

The two-way MIMO relay systems, many forwarding strategies at the relay are studied. The relay may decode the received bit sequence pair completely. It may combine them using XOR or super positioning code, and then it broadcast in regenerative manner to the destinations. This method is known as decode-and-forward (DF) relay strategy. Another type of method that is non-regenerative at the relay is known as amplify-and-forward (AF). The AF relay strategy is more attractive than DF relay strategy for its simplicity [9].

The main goal of this paper is to design source and relay nodes using MIMO for minimizing mean-square-error (MSE) at the destinations. This is able to parallelize the channels in both the Multiple Access (MAC) and Broadcast (BC) phases in the two-way relay system.

II. MIMOBASICS

MIMO technology increases the channel capacity. By increase in the number of transmitting antennas and receiving antennas, throughput of the channel with added antennas pair of the system also linearly increases. Thus MIMO wireless technology is one of the most important wireless technology employed recently. For radio communication systems, spectral bandwidth has become a valuable commodity. Therefore different techniques are required to use the bandwidth available in more efficient and effective manner.

MIMO is one of the following wireless technologies:

A. MIMO - SISO

SISO – Single Input Single Output is referred to the simplest form of radio link that is defined in the terms of MIMO. This is considered as a standard radio channel and the transmitter operates with the single antenna as same as the receiver.

Figure 1: SISO - Single Input Single Output

The additional processing and the diversity are not required in this technique. The simplicity itself is the advantage of the SISO system. But the SISO channel has the limitation on its performance as fading and interference impacts more on the system when compared to MIMO. The throughput of this system depends on the signal to noise ratio and the bandwidth of the channel.

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Ghousia Begum.K, IJRIT-105 B. MIMO - SIMO

If the receiver has multiple antennas and the transmitter has only a single antenna, then it is SIMO or Single Input Multiple Output version of MIMO. This is also known by the name ‘Receiving Diversity’. It is commonly used for the purpose of enabling the receiver system that receives signals sent from a number of independent sources to avoid the effects of fading.

Figure 2: SIMO - Single Input Multiple Output

The advantage of the SIMO is it is easy to implement despite it has some disadvantages that it needs processing at the receiver. The use of SIMO is accepted in some applications, but the applications in which the receiver is located in a mobile device like cell phone handset; the processing level is limited by the battery drain, size and the cost.

SIMO can be used in two forms:

• Switched diversity SIMO: SIMO of this form looks for the signal that is strong and switches to the corresponding antenna.

• Maximum ration combining SIMO: SIMO of this form considers both signals and add them to provide their combination. Thus the signals from both antennas contribute for overall signal.

C. MIMO – MISO

Multiple Input Single Output (MISO) is also termed transmit diversity. The same data is transmitted in a redundant way from both transmitter antennas in this case. Then the receiver is able to receive the optimal signal that can be used to extract the data required.

Figure 3: MISO - Multiple Input Single Output

The MISO has the advantage that multiple antennas and the process of redundancy is moved to the transmitter from the receiver.

This provides significant advantage in terms reducing the processing level needed in the receiver for redundancy coding and in terms of space for the antennas. This results in positive impact as low processing level needs less battery consumption in terms of cost, size and battery life.

D. MIMO

As MIMO uses multiple antennas at both the transmitter and receiver is effective radio antenna technology to enable various signal paths for carrying the data, to enable multiple signal paths for each antenna.

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Ghousia Begum.K, IJRIT-106

Figure 4: MIMO - Multiple Input Multiple Output

The core conceptions behind the MIMO wireless systems space-time signal processing is that in making use of multiple spatially antennas at different points, time is complemented with the spatial dimension inherent. MIMO wireless systems is seen as logical extension as the smart antennas used for improving wireless systems. MIMO is found to be present between the transmitter and receiver, and the signal can take many paths.

Moreover, moving the antennas results the changes even in paths of less distance. The different available paths appear to be the result of objects that are at the side or in the direct path between the transmitter and receiver. Earlier, these multiple paths are used for the purpose of introducing interference. These additional paths can be advantageous by using MIMO as they provide extra robustness by improving ratio of the signal to noise to the radio link or increases the capacity of the link data.

MIMO have two main formats that are given below:

• Spatial diversity: Spatial diversity used in this narrower sense often refers to transmit and receive diversity. The two methodologies are used in providing improvements in the signal to noise ratio and they are characterized by improving the reliability of the system with respect to the various forms of fading.

• Spatial multiplexing: MIMO of this form provides more data capacity by utilizing the different paths to carry additional traffic, i.e. increasing the data throughput capability. One of the key advantages of MIMO spatial multiplexing is the fact that it is able to provide additional data capacity. MIMO spatial multiplexing achieves this by utilizing the multiple paths and effectively using them as additional "channels" to carry data. The maximum amount of data that can be carried by a radio channel is limited by the physical boundaries defined under Shannon's Law.

I. PROPOSED SYSTEM

Let us consider two way relay systems with PNC, the two terminals are denoted by UA, UB, exchange their information through the relay R. Both UA and UB transmit their own symbols simultaneously to the relay. The signal received at the relay is given by

y()= √Ph ()x + √Ph()x+ n

where P indicates the transmit power, h ()denotes the channel gain of terminal U and h() denotes the channel gain of terminal U. n denotes the noise. And then optimal relay is chosen based on relay selection strategy.

Next in broadcasting phase, the optimal relay broadcasts the signal x to U and U simultaneously. The channels from relay to terminals are assumed to be same as in the reverse direction because of reciprocity between the MAC and the BC phase. Relay consumes equal power as the terminals use. The relay that has minimum distance from both ends is considered as the optimal rely [5].

Let us consider R as the matrix of antenna correlation at sender and R be the matrix of antenna correlation at the relay node [2]. It is assumed that these matrices are symmetric. The channel matrix from source to relay is denoted by H and is given byH= R/ HR/ . The channel matrix during the broadcasting stage is denoted as H= R/ HR/ . Channel state information (CSI) is usually required to design the precoders and the decoders. Channel reciprocity is assumed. The relay broadcasts the signal X. The received signal is given by Y = HX+ N.

The MMSE equalizer is applied to decouple the N sub streams. The MMSE equalization matrix is given by w!= (H ∗ H + 1

snrI)' H

By left multiplying the received signal vector y by w! decoupled substreams without SNR can be obtained as

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Ghousia Begum.K, IJRIT-107

ρ!,*= snr

[(H ∗ H + 1

snr I)']**− 1, 1 ≤ n ≤ N

T

XA

T

XB

R

XA

R

XB

R

1

R

2

TXA

TXB

RXA

RXB

R1

R2

Figure 5: Block Diagram of the Proposed System

II. RESULTS

The work presents the MIMO design based minimum distance based relay selection. The results of the work are shown below.

The figure 6 shows the PSNR value and MSE value of the input signal. The figure 7 shows the time required to process the signals of Terminal or Node A. The figure 8 shows the time required to process the signals generated by the Terminal or Node B. The figure 9 shows the MMSE results with and without up sampling. The MMSE results better with up sampling.

Figure 6: Plot of PNSR and MMSE versus Input signal

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Ghousia Begum.K, IJRIT-108

Figure 7: Plot of processing time required for signals Node A

Figure 8: Plot of processing time required for signals Node B

Figure 9: Plot of MMSE with and without up sampling

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Ghousia Begum.K, IJRIT-109 III. CONCLUSION

The MIMO design based on the minimum distance is presented in the proposed work. MIMO design is done in such a way that the optimal relay is selected which is optimally to both the sender and receiver. The amplify-and-forward PNC is used which uses the statistical knowledge of noise as well as channel from source to relay. MMSE equalizer is used for determining the bit error rate.

REFERENCES

1. Young-Tae Kim, Student Member, IEEE, Moonseo Park, “Linear Precoding Design based on the Minimum Distance for Two-Way MIMO Physical Network Coding Systems”, 2011.

2. L.K. Saliya Jayasinghe, N. Rajatheva, and M. Latva-aho, “Robust Joint Precoder-Decoder Design for PNC based MIMO Two-Way Relaying System”, IEEE on 78th Vehicular Technology Conference (VTC Fall), 2013.

3. Young-Tae Kim, Kwangwon Lee, Moonseo Park, Kyoung-Jae Lee, and Inkyu Lee, “Precoding Designs Based on Minimum Distance for Two-Way Relaying MIMO Systems with Physical Network Coding” IEEE Transactions on Communications, Volume 61, Issue 10, 2013.

4. Sanjeevani Jenekar, M. K. Demde, “Review on MIMO System using Transmit Diversity and Relay Selection Algorithm”, Volume 2, Issue 4, 2013.

5. Youngil Jeon, Young-Tae Kim, Changick Song, Youn-Ok Park, and Inkyu Lee, “Diversity Analysis of Minimum Distance Based Relay Selection Schemes for Two-way Relaying Systems with Physical Network Coding”, IEEE on Vehicular Technology Conference (VTC Fall), 2012.

6. Anatoly Khina, Yuval Kochman, Uri Erez, “Physical-Layer MIMO Relaying”, Information Theory Proceedings (ISIT), IEEE, pp: 2437 – 2441, 2011.

7. Samar Agnihotri, Sidharth Jaggi, and Minghua Chen, “Amplify-and-Forward in Wireless Relay Networks” cited arXiv:1105.2760 [cs.IT], 2011.

8. Lingyang Song, “Relay Selection for Two-way Relaying with Amplify-and-Forward Protocols”, IEEE Transactions on Vehicular Technology, Volume 60, Issue 4, 2011.

9. Rui Wang and Meixia Tao, “Joint Source and Relay Precoding Designs for MIMO Two-Way Relay Systems”, IEEE International Conference on Communications (ICC), 2011

10. Shengli Zhang, Soung Chang Liew, “Physical Layer Network Coding with Multiple Antennas”, IEEE on Wireless Communications and Networking Conference (WCNC), 2010.

11. Shu-ping Yeh, Olivier L´evˆeque, “Asymptotic Capacity of Multi-Level Amplify-and-Forward Relay Networks”, Proceedings of the 2007 Asilomar Conference, Pacific Grove, CA, 2007.

References

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