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<title>C MIMO: C MIMO: Implementation of the MIMO Digital Communication System</title>
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<div class="PageDoc"><div class="header">
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<div class="title">C MIMO: Implementation of the MIMO Digital Communication System </div> </div>
<div class="title">C MIMO Documentation</div> </div>
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<div class="textblock"><p><a class="anchor" id="md_src_mainpage"></a> This project was developed for the Engineering Project II course taught in the second semester at the Faculty of Computing and Telecommunications of the Federal University of Pará. The objective of this project is to develop a C library containing functions that implement matrix operations. The resulting library will be used to implement a Multiple-in, Multiple-out (MIMO) Digital Communication System in C language. The system to be implemented is described in the image below:</p>
<div class="textblock"><p><a class="anchor" id="md_src_mainpage"></a> Implementation of the MIMO Digital Communication System</p>
<p>This project was developed for the Engineering Project II course taught in the second semester at the Faculty of Computing and Telecommunications of the Federal University of Pará. The objective of this project is to develop a C library containing functions that implement matrix operations. The resulting library will be used to implement a Multiple-in, Multiple-out (MIMO) Digital Communication System in C language. The system to be implemented is described in the image below:</p>
<p><img src="mimosystem.png" alt="mimo-implementação" class="inline"/></p>
<p>For more information: <a href="https://github.com/jvictorferreira3301/Projeto-de-Engenharia-II">https://github.com/jvictorferreira3301/Projeto-de-Engenharia-II</a>.</p>
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Members</h1>
<p>Access source code: <a href="https://github.com/lasseufpa/c_mimo">https://github.com/lasseufpa/c_mimo</a></p>
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Members</h2>
<ul>
<li><a href="https://github.com/jvictorferreira3301">João Victor Santos Brito Ferreira</a></li>
<li><a href="https://github.com/kkauanjjk">Kauan Miranda Tavares</a></li>
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SVD Calculation Function:</h3>
<p>The <code>SVD Calculation</code> function implements the SVD operator.</p><ul>
<li>The <code>SVD Calculation</code> function takes three parameters: <code>mtx</code> (a matrix of complex numbers),<code>linhas</code> (number of rows in the matrix), <code>colunas</code> (the number of columns in the matrix).</li>
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Conjugate Function:</h3>
<p>The <code>conjugate</code> function implements the operation of conjugate matrix. This operation consists of inverting the sign of the imaginary part of each element of the input matrix.</p><ul>
<li>The <code>conjugate</code> function takes three parameters: <code>mtx</code> (a matrix of complex numbers), <code>linhas</code> (the number of rows in the matrix), and <code>colunas</code> (the number of columns in the matrix).</li>
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Hermitian Function:</h3>
<p>The <code>hermitian</code> function implements the operation of hermitian matrix. This operation consists of obtaining the conjugate matrix of the input matrix and then calculating the transpose of this conjugate matrix. The resulting matrix is a hermitian matrix.</p><ul>
<li>The <code>hermitian</code> function takes three parameters: <code>mtx</code> (a matrix of complex numbers), <code>linhas</code> (the number of rows in the matrix), and <code>colunas</code> (the number of columns in the matrix). It declares two variables of type <code>complexo**</code>: <code>matriz</code> and <code>matriz_h</code>.</li>
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Multicomp Function:</h3>
<p>The <code>multcomp</code> function takes two complex numbers <code>c1</code> and <code>c2</code> as parameters and returns the result of the multiplication of these two complex numbers.</p><ul>
<li>Inside the function, a variable named <code>multiplied</code> of type <code>complex</code> is declared to store the result of the multiplication.</li>
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Inner Product Function:</h3>
<p>The <code>inner product</code> function implements the operation of the product of two complex vectors.</p><ul>
<li>The <code>inner product</code> function takes four parameters: <code>v1</code> (a "v1" vector of complex numbers),<code>v2</code> (a "v2" vector of complex numbers), <code>linhas</code> (the number of rows of the vectors), and <code>colunas</code> (the number of columns of the vectors).</li>
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Matrix Product Function:</h3>
<p>The <code>matrix product</code> function implements the operation of the product of two complex matrices.</p><ul>
<li>The <code>matrix product</code> function takes four parameters: <code>mtx_a</code> (a "a" matrix of complex numbers),<code>mtx_b</code> (a "b" matrix of complex numbers), <code>linhas</code> (the number of rows of the matrices), and <code>colunas</code> (the number of columns of the matrices).</li>
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Scalar Product Function:</h3>
<p>The <code>scalar product</code> function implements the operation of a matrix by any scalar.</p><ul>
<li>The scalar product function takes four parameters: <code>mtx</code> (a matrix of complex numbers), <code>linhas</code> (the number of rows in the matrix), <code>colunas</code> (the number of columns in the matrix), and <code>k</code> (integer scalar).</li>
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Sum Function:</h3>
<p>The <code>sum</code> function implements the operation of matrix addition. This operation consists of adding two or more matrices, however in the following example only with two matrices.</p><ul>
<li>The <code>sum</code> function takes four parameters: <code>mtx_a</code> (a "a" matrix of complex numbers),<code>mtx_b</code> (a "b" matrix of complex numbers), <code>linhas</code> (the number of rows in the matrix), and <code>colunas</code> (the number of columns in the matrix).</li>
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Complex Sum Function:</h3>
<p>The <code>complex_sum</code> function takes two complex numbers <code>c1</code> and <code>c2</code> as parameters and returns the result of the sum of these two complex numbers.</p><ul>
<li>Inside the function, a variable named <code>sum</code> of type <code>complex</code> is declared to store the result of the sum.</li>
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Subtraction Function:</h3>
<p>The <code>subtraction</code> function implements the operation of matrix subtraction. This operation consists of subtracting two or more matrices, however in the following example as in the above only with two matrices.</p><ul>
<li>The <code>subtraction</code> function takes four parameters: <code>mtx_a</code> (a "a" matrix of complex numbers),<code>mtx_b</code> (a "b" matrix of complex numbers), <code>linhas</code> (the number of rows in the matrix), and <code>colunas</code> (the number of columns in the matrix).</li>
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Teste da função Transposta.</h3>

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Transpose Function:</h3>
<p>The <code>transpose</code> function implements the matrix transpose operation. This operation consists of swapping the rows and columns of the input matrix.</p><ul>
<li>The <code>transpose</code> function takes three parameters: <code>mtx</code> (a matrix of complex numbers), <code>linhas</code> (the number of rows in the matrix), and <code>colunas</code> (the number of columns in the matrix).</li>
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