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<div class="refnamediv"><h1 class="refname">czt</h1>
<p class="refpurpose">Chirp Z Transform</p></div>
<div class="refsynopsisdiv"><h3 class="title">Calling Sequence</h3>
<div class="synopsis"><pre><span class="functionid">czt</span><span class="default"> (</span><span class="default">x</span><span class="default">)</span>
<span class="functionid">czt</span><span class="default"> (</span><span class="default">x</span><span class="default">, </span><span class="default">m</span><span class="default">)</span>
<span class="functionid">czt</span><span class="default"> (</span><span class="default">x</span><span class="default">, </span><span class="default">m</span><span class="default">, </span><span class="default">w</span><span class="default">)</span>
<span class="functionid">czt</span><span class="default"> (</span><span class="default">x</span><span class="default">, </span><span class="default">m</span><span class="default">, </span><span class="default">w</span><span class="default">, </span><span class="default">a</span><span class="default">)</span></pre></div></div>
<div class="refsection"><h3 class="title">Parameters</h3>
<dl><dt><span class="term">x:</span>
<dd><p class="para">Input scalar or vector</p></dd></dt>
<dt><span class="term">m:</span>
<dd><p class="para">Total Number of steps</p></dd></dt>
<dt><span class="term">w:</span>
<dd><p class="para">ratio between points in each step</p></dd></dt>
<dt><span class="term">a:</span>
<dd><p class="para">point in the complex plane</p></dd></dt></dl></div>
<div class="refsection"><h3 class="title">Description</h3>
<p class="para">This is an Octave function.
Chirp z-transform. Compute the frequency response starting at a and stepping by w for m steps. a is a point in the complex plane, and w is the ratio between points in each step (i.e., radius increases exponentially, and angle increases linearly).</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">m</span> <span class="scilaboperator">=</span> <span class="scilabnumber">32</span><span class="scilabdefault">;</span> <span class="scilabid">##</span> <span class="scilabid">number</span> <span class="scilabid">of</span> <span class="scilabid">points</span> <span class="scilabid">desired</span>
<span class="scilabid">w</span> <span class="scilaboperator">=</span> <a class="scilabcommand" href="scilab://exp">exp</a><span class="scilabopenclose">(</span><span class="scilaboperator">-</span><span class="scilabid">j</span><span class="scilaboperator">*</span><span class="scilabnumber">2</span><span class="scilaboperator">*</span><span class="scilabid">pi</span><span class="scilaboperator">*</span><span class="scilabopenclose">(</span><span class="scilabid">f2</span><span class="scilaboperator">-</span><span class="scilabid">f1</span><span class="scilabopenclose">)</span><span class="scilaboperator">/</span><span class="scilabopenclose">(</span><span class="scilabopenclose">(</span><span class="scilabid">m</span><span class="scilaboperator">-</span><span class="scilabnumber">1</span><span class="scilabopenclose">)</span><span class="scilaboperator">*</span><span class="scilabid">Fs</span><span class="scilabopenclose">)</span><span class="scilabopenclose">)</span><span class="scilabdefault">;</span> <span class="scilabid">##</span> <a class="scilabcommand" href="scilab://freq">freq</a><span class="scilaboperator">.</span> <span class="scilabid">step</span> <span class="scilabid">of</span> <span class="scilabid">f2</span><span class="scilaboperator">-</span><span class="scilabid">f1</span><span class="scilaboperator">/</span><span class="scilabid">m</span>
<span class="scilabid">a</span> <span class="scilaboperator">=</span> <a class="scilabcommand" href="scilab://exp">exp</a><span class="scilabopenclose">(</span><span class="scilabid">j</span><span class="scilaboperator">*</span><span class="scilabnumber">2</span><span class="scilaboperator">*</span><span class="scilabid">pi</span><span class="scilaboperator">*</span><span class="scilabid">f1</span><span class="scilaboperator">/</span><span class="scilabid">Fs</span><span class="scilabopenclose">)</span><span class="scilabdefault">;</span> <span class="scilabid">##</span> <span class="scilabid">starting</span> <span class="scilabid">at</span> <span class="scilabid">frequency</span> <span class="scilabid">f1</span>
<span class="scilabid">y</span> <span class="scilaboperator">=</span> <span class="scilabmacro">czt</span><span class="scilabopenclose">(</span><span class="scilabid">x</span><span class="scilabdefault">,</span> <span class="scilabid">m</span><span class="scilabdefault">,</span> <span class="scilabid">w</span><span class="scilabdefault">,</span> <span class="scilabid">a</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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