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+<html><head>
+ <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
+ <title>hilbert1</title>
+ <style type="text/css" media="all">
+ @import url("scilab_code.css");
+ @import url("xml_code.css");
+ @import url("c_code.css");
+ @import url("style.css");
+ </style>
+ </head>
+ <body>
+ <div class="manualnavbar">
+ <table width="100%"><tr>
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+ <span class="path"><a href="index.html">FOSSEE Signal Processing Toolbox</a> &gt;&gt; <a href="section_cc2bc01c47967d47fcf3507a91d572ba.html">FOSSEE Signal Processing Toolbox</a> &gt; hilbert1</span>
+
+ <br /><br />
+ <div class="refnamediv"><h1 class="refname">hilbert1</h1>
+ <p class="refpurpose">Analytic extension of real valued signal.</p></div>
+
+
+<div class="refsynopsisdiv"><h3 class="title">Calling Sequence</h3>
+ <div class="synopsis"><pre><span class="default">h</span><span class="default">= </span><span class="functionid">hilbert1</span><span class="default">(</span><span class="default">f</span><span class="default">)</span>
+<span class="default">h</span><span class="default">= </span><span class="functionid">hilbert1</span><span class="default">(</span><span class="default">f</span><span class="default">,</span><span class="default">N</span><span class="default">)</span>
+<span class="default">h</span><span class="default">= </span><span class="functionid">hilbert1</span><span class="default">(</span><span class="default">f</span><span class="default">,</span><span class="default">N</span><span class="default">,</span><span class="default">dim</span><span class="default">)</span></pre></div></div>
+
+<div class="refsection"><h3 class="title">Parameters</h3>
+ <dl><dt><span class="term">f:</span>
+ <dd><p class="para">real or complex valued scalar or vector</p></dd></dt>
+ <dt><span class="term">N:</span>
+ <dd><p class="para">The result will have length N</p></dd></dt>
+ <dt><span class="term">dim :</span>
+ <dd><p class="para">It analyses the input in this dimension</p></dd></dt></dl></div>
+
+<div class="refsection"><h3 class="title">Description</h3>
+ <p class="para">h = hilbert1 (f) computes the extension of the real valued signal f to an analytic signal. If f is a matrix, the transformation is applied to each column. For N-D arrays, the transformation is applied to the first non-singleton dimension.</p>
+ <p class="para">real (h) contains the original signal f. imag (h) contains the Hilbert transform of f.</p>
+ <p class="para">hilbert1 (f, N) does the same using a length N Hilbert transform. The result will also have length N.</p>
+ <p class="para">hilbert1 (f, [], dim) or hilbert1 (f, N, dim) does the same along dimension dim.</p></div>
+
+<div class="refsection"><h3 class="title">Examples</h3>
+ <div class="programlisting"><table border="0" width="100%"><tr><td width="98%"><pre class="scilabcode"><span class="scilabid">##</span> <span class="scilabid">notice</span> <span class="scilabid">that</span> <span class="scilabid">the</span> <span class="scilabid">imaginary</span> <span class="scilabid">signal</span> <span class="scilabid">is</span> <span class="scilabid">phase</span><span class="scilaboperator">-</span><span class="scilabid">shifted</span> <span class="scilabnumber">90</span> <span class="scilabid">degrees</span>
+<span class="scilabid">t</span><span class="scilaboperator">=</span><a class="scilabmacro" href="scilab://linspace">linspace</a><span class="scilabopenclose">(</span><span class="scilabnumber">0</span><span class="scilabdefault">,</span><span class="scilabnumber">10</span><span class="scilabdefault">,</span><span class="scilabnumber">256</span><span class="scilabopenclose">)</span><span class="scilabdefault">;</span>
+<span class="scilabid">z</span> <span class="scilaboperator">=</span> <span class="scilabid">hilbert1</span><span class="scilabopenclose">(</span><a class="scilabcommand" href="scilab://sin">sin</a><span class="scilabopenclose">(</span><span class="scilabnumber">2</span><span class="scilaboperator">*</span><span class="scilabid">pi</span><span class="scilaboperator">*</span><span class="scilabnumber">0.5</span><span class="scilaboperator">*</span><span class="scilabid">t</span><span class="scilabopenclose">)</span><span class="scilabopenclose">)</span><span class="scilabdefault">;</span>
+<span class="scilabid">grid</span> <span class="scilabid">on</span><span class="scilabdefault">;</span> <a class="scilabmacro" href="scilab://plot">plot</a><span class="scilabopenclose">(</span><span class="scilabid">t</span><span class="scilabdefault">,</span><a class="scilabcommand" href="scilab://real">real</a><span class="scilabopenclose">(</span><span class="scilabid">z</span><span class="scilabopenclose">)</span><span class="scilabdefault">,</span><span class="scilabstring">&#0039;</span><span class="scilabstring">;real;</span><span class="scilabstring">&#0039;</span><span class="scilabdefault">,</span><span class="scilabid">t</span><span class="scilabdefault">,</span><a class="scilabcommand" href="scilab://imag">imag</a><span class="scilabopenclose">(</span><span class="scilabid">z</span><span class="scilabopenclose">)</span><span class="scilabdefault">,</span><span class="scilabstring">&#0039;</span><span class="scilabstring">;imag;</span><span class="scilabstring">&#0039;</span><span class="scilabopenclose">)</span><span class="scilabdefault">;</span></pre></td><td valign="top"><a href="scilab://scilab.execexample/"><img src="ScilabExecute.png" border="0"/></a></td><td valign="top"><a href="scilab://scilab.editexample/"><img src="ScilabEdit.png" border="0"/></a></td><td></td></tr></table></div></div>
+ <br />
+
+ <div class="manualnavbar">
+ <table width="100%">
+ <tr><td colspan="3" class="next"><a href="http://bugzilla.scilab.org/enter_bug.cgi?product=Scilab%20software&component=Documentation%20pages" class="ulink">Report an issue</a></td></tr>
+<tr>
+ <td width="30%">
+ <span class="previous"><a href="helperHarmonicDistortionAmplifier.html">&lt;&lt; helperHarmonicDistortionAmplifier</a></span>
+
+ </td>
+ <td width="40%" class="center">
+ <span class="top"><a href="section_cc2bc01c47967d47fcf3507a91d572ba.html">FOSSEE Signal Processing Toolbox</a></span>
+
+ </td>
+ <td width="30%" class="next">
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+
+ </td>
+ </tr></table>
+ <hr />
+ </div>
+ </body>
+</html>