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<span class="path"><a href="index.html">FOSSEE Signal Processing Toolbox</a> >> <a href="section_e54aa8aac34aa55341e8b4b782fe1a74.html">FOSSEE Signal Processing Toolbox</a> > hilbert1</span>
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<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">'</span><span class="scilabstring">;real;</span><span class="scilabstring">'</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">'</span><span class="scilabstring">;imag;</span><span class="scilabstring">'</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>
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