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<td valign=baseline bgcolor="#ffe4b0"><b>AutotunerPID Toolkit</b></td>
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<h1>butterdesign</h1>
<h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="up.png"></a></h2>
<div class="box"><strong>Butterworth analog lowpass filter design.</strong></div>
<h2><a name="_synopsis"></a>SYNOPSIS <a href="#_top"><img alt="^" border="0" src="up.png"></a></h2>
<div class="box"><strong>function [B,A] = butterdesign(N,Wc) </strong></div>
<h2><a name="_description"></a>DESCRIPTION <a href="#_top"><img alt="^" border="0" src="up.png"></a></h2>
<div class="fragment"><pre class="comment">BUTTERDESIGN Butterworth analog lowpass filter design.
[B,A] = BUTTERDESIGN(N,Wc) returns the numerator and denominator for an
N-th order Butterworth analog with a bandwith Wc.
The resulting filter has N poles around the circle of radius Wn in the
left half plane, and no zeros.
Author: William Spinelli (wspinell@elet.polimi.it)
Copyright 2004 W.Spinelli
$Revision: 1.0 $ $Date: 2004/02/27 12:00:00 $</pre></div>
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<h2><a name="_cross"></a>CROSS-REFERENCE INFORMATION <a href="#_top"><img alt="^" border="0" src="up.png"></a></h2>
This function calls:
<ul style="list-style-image:url(matlabicon.gif)">
</ul>
This function is called by:
<ul style="list-style-image:url(matlabicon.gif)">
</ul>
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<h2><a name="_source"></a>SOURCE CODE <a href="#_top"><img alt="^" border="0" src="up.png"></a></h2>
<div class="fragment"><pre>0001 <a name="_sub0" href="#_subfunctions" class="code">function [B,A] = butterdesign(N,Wc)</a>
0002 <span class="comment">%BUTTERDESIGN Butterworth analog lowpass filter design.</span>
0003 <span class="comment">% [B,A] = BUTTERDESIGN(N,Wc) returns the numerator and denominator for an</span>
0004 <span class="comment">% N-th order Butterworth analog with a bandwith Wc.</span>
0005 <span class="comment">% The resulting filter has N poles around the circle of radius Wn in the</span>
0006 <span class="comment">% left half plane, and no zeros.</span>
0007 <span class="comment">%</span>
0008 <span class="comment">% Author: William Spinelli (wspinell@elet.polimi.it)</span>
0009 <span class="comment">% Copyright 2004 W.Spinelli</span>
0010 <span class="comment">% $Revision: 1.0 $ $Date: 2004/02/27 12:00:00 $</span>
0011
0012 <span class="comment">% Poles are on the circle of radius Wn in the left-half plane.</span>
0013 p = Wc*exp(i*(pi*(1:2:N-1)/(2*N) + pi/2));
0014 p = [p; conj(p)];
0015 p = p(:);
0016 <span class="keyword">if</span> rem(N,2)==1, p = [p; -Wc]; <span class="keyword">end</span>
0017 A = poly(p);
0018 B = real(prod(-p));</pre></div>
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