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<div class="title">Generating a correlated Rayleigh fading process </div>  </div>
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<div class="textblock"><p>In this example we will generate a correlated Rayleigh fading process with a normaized Doppler frequency equal to 0.1. The normalized Doppler is defined as the multiplication of the maximum Doppler frequency by the sampling time (i.e. <img class="formulaInl" alt="$f_d = F_d T_s$" src="form_305.png"/>).</p>
<div class="fragment"><div class="line"><span class="preprocessor">#include &lt;<a class="code" href="itcomm_8h.html">itpp/itcomm.h</a>&gt;</span></div>
<div class="line"></div>
<div class="line"><span class="keyword">using namespace </span><a class="code" href="namespaceitpp.html">itpp</a>;</div>
<div class="line"></div>
<div class="line"><span class="keywordtype">int</span> main()</div>
<div class="line">{</div>
<div class="line">  <span class="comment">// Declare my_channel variable as an instance of the Rayleigh_Channel</span></div>
<div class="line">  <span class="comment">// class</span></div>
<div class="line">  <a class="code" href="classitpp_1_1TDL__Channel.html">TDL_Channel</a> my_channel;</div>
<div class="line"></div>
<div class="line">  <span class="comment">// The normalized Doppler frequency is set to 0.1</span></div>
<div class="line">  <span class="keywordtype">double</span> norm_dopp = 0.1;</div>
<div class="line">  my_channel.<a class="code" href="classitpp_1_1TDL__Channel.html#a8502b1dd0dfb0d7b438087739ab3b92d">set_norm_doppler</a>(norm_dopp);</div>
<div class="line"></div>
<div class="line">  <span class="comment">// Generate nrof_samples of the fading process and store them in ch_coeffs</span></div>
<div class="line">  <span class="comment">// matrix</span></div>
<div class="line">  <span class="keywordtype">int</span> nrof_samples = 10000;</div>
<div class="line">  cmat ch_coeffs;</div>
<div class="line">  my_channel.<a class="code" href="classitpp_1_1TDL__Channel.html#ae8892db45e45f63c1fd228baf94b0222">generate</a>(nrof_samples, ch_coeffs);</div>
<div class="line"></div>
<div class="line">  <span class="comment">// Open an output file &quot;rayleigh_test.it&quot;</span></div>
<div class="line">  <a class="code" href="classitpp_1_1it__file.html">it_file</a> ff(<span class="stringliteral">&quot;rayleigh_test.it&quot;</span>);</div>
<div class="line"></div>
<div class="line">  <span class="comment">// Save channel coefficients to the output file</span></div>
<div class="line">  ff &lt;&lt; <a class="code" href="classitpp_1_1Name.html">Name</a>(<span class="stringliteral">&quot;ch_coeffs&quot;</span>) &lt;&lt; ch_coeffs;</div>
<div class="line"></div>
<div class="line">  <span class="comment">// Close the output file</span></div>
<div class="line">  ff.<a class="code" href="classitpp_1_1it__file.html#a6e7217f36b35d6ea866e5fa8148009fa">close</a>();</div>
<div class="line"></div>
<div class="line">  <span class="comment">// Exit program</span></div>
<div class="line">  <span class="keywordflow">return</span> 0;</div>
<div class="line">}</div>
</div><!-- fragment --><p>You can use Matlab or Octave to examine the channel fading process that is stored int the output file <code>rayleigh_test.it</code>. Try the followigh code to view a part of the fading process:</p>
<div class="fragment"><div class="line">itload(<span class="stringliteral">&quot;rayleigh_test.it&quot;</span>)</div>
<div class="line">figure(1); clf;</div>
<div class="line">semilogy(<a class="code" href="classitpp_1_1bin.html#a027ed809cea118591a0bf7943374c566">abs</a>(ch_coeffs(1:200)))</div>
</div><!-- fragment --><p>Note: Make sure that the folder <code>$PREFIX/share/itpp</code> is included your Matlab/Octave path variable (<code>$PREFIX</code> is the IT++ installation prefix: <code>/usr/local</code> by default). </p>
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