<?xml version="1.0" encoding="utf-8"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en"> <head> <!-- 2020-11-12 jeu. 10:44 --> <meta http-equiv="Content-Type" content="text/html;charset=utf-8" /> <title>Complementary Filters Shaping Using \(\mathcal{H}_\infty\) Synthesis</title> <meta name="generator" content="Org mode" /> <meta name="author" content="Thomas Dehaeze" /> <link rel="stylesheet" type="text/css" href="https://research.tdehaeze.xyz/css/style.css"/> <script type="text/javascript" src="https://research.tdehaeze.xyz/js/script.js"></script> <script>MathJax = { tex: { tags: 'ams', macros: {bm: ["\\boldsymbol{#1}",1],} } }; </script> <script type="text/javascript" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script> </head> <body> <div id="org-div-home-and-up"> <a accesskey="h" href="../index.html"> UP </a> | <a accesskey="H" href="../index.html"> HOME </a> </div><div id="content"> <h1 class="title">Complementary Filters Shaping Using \(\mathcal{H}_\infty\) Synthesis <br /> <span class="subtitle">Dehaeze Thomas, Verma Mohit and Collette Christophe</span> </h1> <blockquote> <p> <b>Abstract</b>: </p> <p> For many applications, large bandwidth and dynamic ranges are requiring to use several sensors, whose signals are combined using complementary filters. This paper presents a method for designing these complementary filters using \(\mathcal{H}_\infty\) synthesis that allows to shape the filter norms. This method is shown to be easily applicable for the synthesis of complex complementary filters. </p> </blockquote> <div id="outline-container-org51c6c0b" class="outline-2"> <h2 id="org51c6c0b">Paper (<a href="paper/paper.pdf">link</a>)</h2> <div class="outline-text-2" id="text-org51c6c0b"> <p> The paper has been created <a href="https://orgmode.org/">Org Mode</a> (generating <a href="https://www.latex-project.org/">LaTeX</a> code) under <a href="https://www.gnu.org/software/emacs/">Emacs</a>. </p> </div> </div> <div id="outline-container-org6820ca5" class="outline-2"> <h2 id="org6820ca5">Tikz Figures (<a href="tikz/index.html">link</a>)</h2> <div class="outline-text-2" id="text-org6820ca5"> <p> All the figures for the paper have been generated using <a href="https://sourceforge.net/projects/pgf/">TikZ</a>. </p> </div> </div> </div> </body> </html>