<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">IJCNS</journal-id><journal-title-group><journal-title>International Journal of Communications, Network and System Sciences</journal-title></journal-title-group><issn pub-type="epub">1913-3715</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ijcns.2017.105B028</article-id><article-id pub-id-type="publisher-id">IJCNS-76625</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Computer Science&amp;Communications</subject></subj-group></article-categories><title-group><article-title>
 
 
  Energy Efficient Power Allocation for Distributed MIMO System
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Qian</surname><given-names>Wang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Yilong</surname><given-names>Yin</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Xiushan</surname><given-names>Nie</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>School of Computer Science and Technology, Shandong University of Finance and Economics, Jinan, China</addr-line></aff><pub-date pub-type="epub"><day>26</day><month>05</month><year>2017</year></pub-date><volume>10</volume><issue>05</issue><fpage>283</fpage><lpage>291</lpage><history><date date-type="received"><day>May</day>	<month>22,</month>	<year>2017</year></date><date date-type="rev-recd"><day>Accepted:</day>	<month>May</month>	<year>23,</year>	</date><date date-type="accepted"><day>May</day>	<month>26,</month>	<year>2017</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
   
   The rapid increasing demands of multi-media applications have busted the improvement of video transmission. By the increase of multimedia transmission, quality of experience (QoE) has become the hot topic of the wireless networks’ research. This paper proposes a QoE-aware resource allocation algorithm in MIMO-OFDM Networks. The power allocation estimation is formulated to maximize according to QoE by considering the video transmission rate and the subcarrier schemes under the constraint of minimum power. In this paper, we will analyses the the performance of video transmission from transmission rate at the application layer to the power allocation at the physical layer. From simulation results, we can see that the proposed subcarrier allocation algorithm maximizes the video QoE by minimizing the sum distortion of multi-users in MIMO networks with power constraints. 
  
 
</p></abstract><kwd-group><kwd>QoE</kwd><kwd> Cross Layer Design</kwd><kwd> Resource Allocation</kwd><kwd> MIMO</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>The rapid increasing demands of multi-media applications have busted the improvement of video transmission [<xref ref-type="bibr" rid="scirp.76625-ref1">1</xref>]. The development of physical (PHY) layer transmission schemes, such as Multiple Input and Multiple Output (MIMO) antennas, as well as multiple access schemes, e.g., Orthogonal Frequency Division Multiple Access (OFDMA), has obviously changed everyday life. The concept of quality of experience (QoE) means that we can evaluate the performance of communication networks and services under the subjective opinions from application users [<xref ref-type="bibr" rid="scirp.76625-ref2">2</xref>]. Many researchers have proposed the equations of QoS-QoE, which could reflect the relation between QoS and QoE parameter [<xref ref-type="bibr" rid="scirp.76625-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.76625-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.76625-ref5">5</xref>]. In order to optimize the resource allocation during media video transmissions in next LET, it is necessary to propose an improved resource allocation driven by QoE parameter [<xref ref-type="bibr" rid="scirp.76625-ref5">5</xref>].</p><p>Meanwhile, new video compression techniques have dramatically improved the compression efficiency of video codecs. The H.264/ AVC (H.264 Advanced Video Coding) [<xref ref-type="bibr" rid="scirp.76625-ref6">6</xref>] has been shown to save up to 55% of the bits compared to prior MPEG standards. Most recently, the HEVC (High Efficiency Video Coding) [<xref ref-type="bibr" rid="scirp.76625-ref7">7</xref>] is proposed to the improvement over the coding efficiency for the H.264. Along with the increasing demands on multimedia application, multimedia transmission is becoming one of the most popular services in future wireless networks [<xref ref-type="bibr" rid="scirp.76625-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.76625-ref9">9</xref>].</p><p>Recently, many researchers have been proposed some scheme for videos transitions over LET systems, which both PHY layer and APP layer parameter are considered to improve QoE of users [<xref ref-type="bibr" rid="scirp.76625-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.76625-ref11">11</xref>]. The performance of QoS-aware system can be improved considering the channel condition and RD at APP layer. In [<xref ref-type="bibr" rid="scirp.76625-ref11">11</xref>], an optimal subcarrier allocation for minimizing RD over Massive- MIMO systems is proposed, where video quality and channel capacity are considered. In [<xref ref-type="bibr" rid="scirp.76625-ref12">12</xref>], authors proposed perspectives and research challenges for QoE in video transmission over wireless networks.</p><p>In this paper, we focus on QoE-aware cross layer optimization in a multiple access environment. We investigate the resource allocation strategy by jointly considering the physical layer information and the application layer information. With the goal of QoE optimizing the overall system video performance, the PHY layer communication resources are allocated to the video users according to the demand of the multi-users.</p><p>The rest of the papers are written as following: Section II presents PHY layer and APP layer scheme, the same as the cross layer optimization. We will propose cross layer resource allocation in Section III, In Section IV Simulation results are showed, and in Section V, we will draw the conclusions.</p></sec><sec id="s2"><title>2. System Model</title><p>We consider a MIMO OFDM network, where there are users transmitting their video streams to one access point (AP) through single hop route as shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p><sec id="s2_1"><title>2.1. MIMO System Model</title><p>In this Section, we consider a central-controlling cellular OFDMA multimedia communication networks. We set the users as k = {1, 2, 3, ∙∙∙, K} where to the base station went to communicate media. The M is the number subcarrier. We can see m = {1, 2, ∙∙∙, M}. We can occupy a total frequency factors as W (Hz). All users adapt alphabet size of this modulation format, and adoptive QAM modulation is determined in the resource allocation scheme.</p><p>The user k transmits the video packet with power P<sub>k</sub> under the maximum power constraint<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x2.png" xlink:type="simple"/></inline-formula>. The signal to interference plus noise ratio (SINR) for</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> The structure of the proposed cross-layer transmission in MU-MIMO Communication systems</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/76625x3.png"/></fig><p>user k is expressed as.</p><disp-formula id="scirp.76625-formula272"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/76625x4.png"  xlink:type="simple"/></disp-formula><p>where <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x5.png" xlink:type="simple"/></inline-formula> represents the spreading gain and G<sub>k</sub> is the channel gain such as the large scale and small scale fading. <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x6.png" xlink:type="simple"/></inline-formula>expresses the noise power of user k. The corresponding link capacity of user is given as</p><disp-formula id="scirp.76625-formula273"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/76625x7.png"  xlink:type="simple"/></disp-formula><p>where B is the channel bandwidth. To improve the quality of multimedia transmission, same assumption as made in [<xref ref-type="bibr" rid="scirp.76625-ref13">13</xref>] that the network works in the high SINR region. Therefore, the link capacity in (2) can be approximated as</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x8.png" xlink:type="simple"/></inline-formula> (3).</p></sec><sec id="s2_2"><title>2.2. QoE Evaluation of Multiuser</title><p>QoE is an option-related metric which is important factor for future LTE systems. We use utility functions to describe QoE for multi-users in varied applications. The QoE of user i can be expressed by <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x9.png" xlink:type="simple"/></inline-formula> which is the quality function of systems. In this section, we use a QoE function, similar to [<xref ref-type="bibr" rid="scirp.76625-ref13">13</xref>]. It concludes a concave function of the rates. For a mutli-user i under the same base station, corresponding to the rate<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x10.png" xlink:type="simple"/></inline-formula>, the QoE of user i can be described as:</p><disp-formula id="scirp.76625-formula274"><label>(4)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/76625x11.png"  xlink:type="simple"/></disp-formula><p>where <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x12.png" xlink:type="simple"/></inline-formula> is t data rate of the i user requesting.</p></sec><sec id="s2_3"><title>2.3. Video RD Characteristics</title><p>Because the video is expressed as GOPs, this RD function is described under a GOP-by-GOP. Set <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x13.png" xlink:type="simple"/></inline-formula> is the rate distortion function of user i in time slot k. For each GOP of user, the MSE distortion can be expressed as [<xref ref-type="bibr" rid="scirp.76625-ref14">14</xref>] [<xref ref-type="bibr" rid="scirp.76625-ref15">15</xref>]</p><disp-formula id="scirp.76625-formula275"><label>(5)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/76625x14.png"  xlink:type="simple"/></disp-formula><p>where<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x15.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x16.png" xlink:type="simple"/></inline-formula>and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x17.png" xlink:type="simple"/></inline-formula> are constants, which will be jointly optimized by the PHY layer parameters by the cross layer design.</p><p>We put (4) into (5), then (5) can be written,</p><disp-formula id="scirp.76625-formula276"><label>(6)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/76625x18.png"  xlink:type="simple"/></disp-formula><p>The QoE ignores the quality according to pricing P<sub>i</sub>(Q<sub>i</sub>) from the users requirement in the MIMO-OFDMA network.</p><disp-formula id="scirp.76625-formula277"><graphic  xlink:href="http://html.scirp.org/file/76625x19.png"  xlink:type="simple"/></disp-formula><p>s.t. <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x20.png" xlink:type="simple"/></inline-formula></p><disp-formula id="scirp.76625-formula278"><graphic  xlink:href="http://html.scirp.org/file/76625x21.png"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.76625-formula279"><label>(7)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/76625x22.png"  xlink:type="simple"/></disp-formula><p>Note <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x23.png" xlink:type="simple"/></inline-formula> is a quality parameter from the user. <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x23.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x24.png" xlink:type="simple"/></inline-formula>is a quadratic equation for rate restrict. Thus, the Q<sub>i</sub> = Q<sup>i</sup>(q<sub>i</sub>, l<sub>f</sub> ) and R<sup>i</sup>(q<sub>i</sub>, l<sub>f</sub> ) express the QoE quality parameter corresponding to the quantization value q<sub>i</sub>. We assume the same- length frame rate l<sub>f</sub> and power constraint of P<sub>b</sub> for each user. We also assume the adaptive modulation parameter is m<sub>i</sub>.</p><p>We can see (7) is convex and convert it into a standard form convex optimization problem [<xref ref-type="bibr" rid="scirp.76625-ref14">14</xref>] by modifying the optimization function,</p><disp-formula id="scirp.76625-formula280"><label>(8)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/76625x25.png"  xlink:type="simple"/></disp-formula><p>We can apply employ the Karush-Kuhn-Tucker (KKT) framework to (8). The</p><p>Lagrangian function <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x26.png" xlink:type="simple"/></inline-formula> is,</p><disp-formula id="scirp.76625-formula281"><label>(9)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/76625x27.png"  xlink:type="simple"/></disp-formula><p>where<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x28.png" xlink:type="simple"/></inline-formula>, 1 ≤ i ≤ N are Lagrange multipliers, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x28.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x29.png" xlink:type="simple"/></inline-formula>,<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x28.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x29.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x30.png" xlink:type="simple"/></inline-formula> , We set <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x28.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x29.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x30.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x31.png" xlink:type="simple"/></inline-formula> is the maximum rate of the i<sup>th</sup> video transmission. The quantity k<sub>i</sub> is as follow,</p><disp-formula id="scirp.76625-formula282"><label>(10)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/76625x32.png"  xlink:type="simple"/></disp-formula><p>we obtain,</p><disp-formula id="scirp.76625-formula283"><label>(11)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/76625x33.png"  xlink:type="simple"/></disp-formula><p>From (11), we can obtain the KKT complementary condition given as,</p><disp-formula id="scirp.76625-formula284"><label>(12)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/76625x34.png"  xlink:type="simple"/></disp-formula><p>From (12), we setμ<sub>i</sub> = 0 and δ<sub>i</sub> = 0, the Lagrangian multiplier λ<sup>*</sup> can be expressed as,</p><disp-formula id="scirp.76625-formula285"><label>(13)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/76625x35.png"  xlink:type="simple"/></disp-formula><p>We substitute the above expression for the optimal quantization parameter q<sub>i</sub><sup>*</sup> and then,</p><disp-formula id="scirp.76625-formula286"><label>(14)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/76625x36.png"  xlink:type="simple"/></disp-formula><p>The above expression can obtain the optimal quantization parameter q<sub>i</sub><sup>*</sup> for resource allocation. The (14) has low computational complexity scheme for optimal video transmission for both unicast and multicast surrounding. This proposed joint power and subcarrier allocation algorithm in MIMO OFDM systems enables us both to overcome the challenge of full CSI. We can get optimal subcarrier and power allocation by iterative as <xref ref-type="table" rid="table1">Table 1</xref>.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Iterative Subcarrier and Power Allocation</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Algorithm 1. Iterative Subcarrier and Power Allocation</th></tr></thead><tr><td align="center" valign="middle" >Input the QoE of user <sub>i</sub> according to (4); Initialize p<sub>i</sub>, q<sub>i</sub> procedure ITERATION repeat μ<sub>i</sub> = 0 and δ<sub>i</sub> = 0 for k = 1 : M do repeat Calculate q<sub>i</sub> according to (14); until q<sub>i </sub>reaches the QoE of user i; end for Update<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/76625x37.png" xlink:type="simple"/></inline-formula>, k<sub>i</sub> according to(10) and (13); Update p<sub>i</sub>, q<sub>i</sub>, Which are used in the next iteration; until Convergence; end procedure</td></tr></tbody></table></table-wrap></sec></sec><sec id="s3"><title>4. Simulation Results</title><p>In this section, we simulate the performance results for the MU-MIMO OFDM systems with an amount of 32 subcarriers. And the system power constrain is −120 dB/Hz.. Under the given power constraint in each bandwidth, power can be expressed as Pt = 200 mW, of which has each bandwidth of 100 kHz. We can denote the path-loss con-strain is γ = 2.45. Moreover, α is a Rayleigh fading variable. For each time slot i the optimization system can be automatically transferred.</p><p>In simulation, the aim of the allocations is to be outputted to the rate and subcarrier allocation corresponding to the number of users. <xref ref-type="fig" rid="fig2">Figure 2</xref> describe a set of simulate results. From <xref ref-type="fig" rid="fig2">Figure 2</xref>, we can see, with cross layer design, requirement of the packet loss in APP layer varying with the channel fading. Hence the power control coefficients can be made independent of frequency and their effect on the data rate obtained by QAM. The valid PSNR is about 40% toward to SER. In one word, to obtain the target PSNR under 16QAM, the rate allocation is bigger than the result of the other OFDMA system.</p><p>When the transmission power is decrease, the result can be shown will be made. This simulation can be shown in <xref ref-type="fig" rid="fig3">Figure 3</xref> <xref ref-type="fig" rid="fig4">Figure 4</xref>, where the PSNR is applied under this value. When the value of power is decrease, the result can be shown will be made. This simulation to can be shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>, where the PSNR is applied f under this value. That is to say 8 users computing for resources which here are 64 sub-carriers are obtained.</p><p>Our simulation results show that the optimal cross-layer design is achieved highly performance according to the curve of QoE. Compared to a resource algorithm using either only PHY layer or only APP layer, the cross layer optimi- zation significantly improved the performance of the sys-tem. It is also achieved highly throughout and low delay in this numerical results.</p><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> Average media video quality vs. number of users</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/76625x38.png"/></fig><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> Bit error rate under different power and constellation size</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/76625x39.png"/></fig><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> Energy consumption with different power and constellation size</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/76625x40.png"/></fig></sec><sec id="s4"><title>5. Conclusion</title><p>In this paper, aiming to improve the quality of multimedia transmission while satisfying the QoE requirements, we propose an optimal subcarrier allocation by jointly considering the video coding rate and the available power resource. We jointly analyses the effects on the performance of multimedia transmission from video coding rate at the application layer as well as the power control at the physical layer. This proposed joint power and subcarrier allocation algorithm in MIMO OFDM systems enables us both to overcome the challenge of full CSI to make minimum of the distortion of each users under delay and power constraints. Simulation results show that the proposed optimal power allocation algorithm improves the multimedia transmission quality considerably through the comparison with the resource allocation algorithms only use a single layer of information.</p></sec><sec id="s5"><title>Acknowledgements</title><p>This work was supported in part by the National Natural Science Foundation of China (No. 61371109, 61671274）and NSFC Joint Fund with Guangdong under Key Project (No. U1201258) and Shandong Natural Science Funds for Distinguished Young Scholar (No. JQ201316).</p></sec><sec id="s6"><title>Cite this paper</title><p>Wang, Q., Yin, Y.L. and Nie, X.S. (2017) Energy Efficient Power Allocation for Distributed MIMO System. Int. J. 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