diff options
Diffstat (limited to 'help/en_US/scilab_en_US_help/bilinear.html')
-rw-r--r-- | help/en_US/scilab_en_US_help/bilinear.html | 73 |
1 files changed, 73 insertions, 0 deletions
diff --git a/help/en_US/scilab_en_US_help/bilinear.html b/help/en_US/scilab_en_US_help/bilinear.html new file mode 100644 index 0000000..f357d01 --- /dev/null +++ b/help/en_US/scilab_en_US_help/bilinear.html @@ -0,0 +1,73 @@ +<html><head> + <meta http-equiv="Content-Type" content="text/html; charset=utf-8"> + <title>bilinear</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> + <td width="30%"> + <span class="previous"><a href="besself.html"><< besself</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"> + <span class="next"><a href="bitrevorder.html">bitrevorder >></a></span> + + </td> + </tr></table> + <hr /> + </div> + + + + <span class="path"><a href="index.html">FOSSEE Signal Processing Toolbox</a> >> <a href="section_cc2bc01c47967d47fcf3507a91d572ba.html">FOSSEE Signal Processing Toolbox</a> > bilinear</span> + + <br /><br /> + <div class="refnamediv"><h1 class="refname">bilinear</h1> + <p class="refpurpose">Transform a s-plane filter specification into a z-plane specification</p></div> + + +<div class="refsynopsisdiv"><h3 class="title">Calling Sequence</h3> + <div class="synopsis"><pre><span class="default">[</span><span class="default">ZB</span><span class="default">, </span><span class="default">ZA</span><span class="default">] = </span><span class="functionid">bilinear</span><span class="default"> (</span><span class="default">SB</span><span class="default">, </span><span class="default">SA</span><span class="default">, </span><span class="default">T</span><span class="default">)</span> +<span class="default">[</span><span class="default">ZB</span><span class="default">, </span><span class="default">ZA</span><span class="default">] = </span><span class="functionid">bilinear</span><span class="default"> (</span><span class="default">SZ</span><span class="default">, </span><span class="default">SP</span><span class="default">, </span><span class="default">SG</span><span class="default">, </span><span class="default">T</span><span class="default">)</span> +<span class="default">[</span><span class="default">ZZ</span><span class="default">, </span><span class="default">ZP</span><span class="default">, </span><span class="default">ZG</span><span class="default">] = </span><span class="functionid">bilinear</span><span class="default"> (...)</span></pre></div></div> + +<div class="refsection"><h3 class="title">Description</h3> + <p class="para">Transform a s-plane filter specification into a z-plane specification. Filters can be specified in either zero-pole-gain or transfer function form. The input form does not have to match the output form. 1/T is the sampling frequency represented in the z plane.</p> + <p class="para">Note: this differs from the bilinear function in the signal processing toolbox, which uses 1/T rather than T.</p> + <p class="para">Theory: Given a piecewise flat filter design, you can transform it from the s-plane to the z-plane while maintaining the band edges by means of the bilinear transform. This maps the left hand side of the s-plane into the interior of the unit circle. The mapping is highly non-linear, so you must design your filter with band edges in the s-plane positioned at 2/T tan(w*T/2) so that they will be positioned at w after the bilinear transform is complete.</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="scilabopenclose">[</span><span class="scilabid">ZB</span><span class="scilabdefault">,</span><span class="scilabid">ZA</span><span class="scilabopenclose">]</span><span class="scilaboperator">=</span><span class="scilabid">bilinear</span><span class="scilabopenclose">(</span><span class="scilabopenclose">[</span><span class="scilabnumber">1</span><span class="scilabopenclose">]</span><span class="scilabdefault">,</span><span class="scilabopenclose">[</span><span class="scilabnumber">2</span><span class="scilabdefault">,</span><span class="scilabnumber">3</span><span class="scilabopenclose">]</span><span class="scilabdefault">,</span><span class="scilabnumber">3</span><span class="scilabopenclose">)</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="besself.html"><< besself</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"> + <span class="next"><a href="bitrevorder.html">bitrevorder >></a></span> + + </td> + </tr></table> + <hr /> + </div> + </body> +</html> |