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<span class="path"><a href="index.html">FOSSEE Signal Processing Toolbox</a> >> <a href="section_cc2bc01c47967d47fcf3507a91d572ba.html">FOSSEE Signal Processing Toolbox</a> > cheb</span>
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<div class="refnamediv"><h1 class="refname">cheb</h1>
<p class="refpurpose">Calculates the nth-order Chebyshev polynomial at the point x.</p></div>
<div class="refsynopsisdiv"><h3 class="title">Calling Sequence</h3>
<div class="synopsis"><pre><span class="functionid">cheb</span><span class="default">(</span><span class="default">n</span><span class="default">, </span><span class="default">x</span><span class="default">)</span></pre></div></div>
<div class="refsection"><h3 class="title">Parameters</h3>
<dl><dt><span class="term">n:</span>
<dd><p class="para">Filter order</p></dd></dt>
<dt><span class="term">x:</span>
<dd><p class="para">Point at which the Chebyshev polynomial is calculater.</p></dd></dt></dl></div>
<div class="refsection"><h3 class="title">Description</h3>
<p class="para">This is an Octave function.
Equation for Chebyshev polynomial is
/ cos(n acos(x), |x| <= 1
Tn(x) = |
\ cosh(n acosh(x), |x| > 1</p>
<p class="para">x can also be a vector. In that case the output will also be a vector of same size as x.</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">x</span> <span class="scilaboperator">=</span> <span class="scilabopenclose">[</span><span class="scilabnumber">1</span> <span class="scilabnumber">2</span> <span class="scilabnumber">3</span> <span class="scilabnumber">4</span><span class="scilabopenclose">]</span>
<span class="scilabid">cheb</span><span class="scilabopenclose">(</span><span class="scilabnumber">10</span><span class="scilabdefault">,</span> <span class="scilabid">x</span><span class="scilabopenclose">)</span>
<span class="scilabid">ans</span> <span class="scilaboperator">=</span>
<span class="scilabnumber">1.0000e+00</span> <span class="scilabnumber">2.6209e+05</span> <span class="scilabnumber">2.2620e+07</span> <span class="scilabnumber">4.5747e+08</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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