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authorttt2018-12-06 13:42:14 +0530
committerttt2018-12-06 13:42:14 +0530
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treefdbe9d1a10e7c256e86d7efae276fa75615cd0ba /help/en_US/bilinear.xml
parent3ffa5ac619587eadfdb4ffd3e2fee57fee385e21 (diff)
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code by jitendra and added more test4.sce
Diffstat (limited to 'help/en_US/bilinear.xml')
-rw-r--r--help/en_US/bilinear.xml77
1 files changed, 1 insertions, 76 deletions
diff --git a/help/en_US/bilinear.xml b/help/en_US/bilinear.xml
index e6a2e46..488dfa9 100644
--- a/help/en_US/bilinear.xml
+++ b/help/en_US/bilinear.xml
@@ -17,82 +17,7 @@
<refnamediv>
<refname>bilinear</refname>
- <refpurpose>Transforms a s-plane filter (Analog) into a z-plane filter (Digital) using Bilinear transformation</refpurpose>
+ <refpurpose></refpurpose>
</refnamediv>
-
-<refsynopsisdiv>
- <title>Calling Sequence</title>
- <synopsis>
- [Zb, Za] = bilinear(Sb, Sa, T)
- [Zb, Zb] = bilinear(Sz, Sp, Sg, T)
- [Zz, Zp, Zg] = bilinear(...)
- </synopsis>
-</refsynopsisdiv>
-
-<refsection>
- <title>Parameters</title>
- <variablelist>
- <varlistentry><term>Sb:</term>
- <listitem><para> Numerator coefficient vector in s-domain. </para></listitem></varlistentry>
- <varlistentry><term>Sa:</term>
- <listitem><para> Denumerator coefficient vector s-domain.</para></listitem></varlistentry>
- <varlistentry><term>Sz:</term>
- <listitem><para> zeros in s-plane.</para></listitem></varlistentry>
- <varlistentry><term>Sp:</term>
- <listitem><para> poles in s-plane.</para></listitem></varlistentry>
- <varlistentry><term>Sg:</term>
- <listitem><para> gain in s-domain.</para></listitem></varlistentry>
- <varlistentry><term>T:</term>
- <listitem><para> Sampling period (double).</para></listitem></varlistentry>
- <varlistentry><term>Zb:</term>
- <listitem><para> Numerator coefficient vector in z-domain.</para></listitem></varlistentry>
- <varlistentry><term>Za:</term>
- <listitem><para> Denumerator coefficient vector z-domain.</para></listitem></varlistentry>
- <varlistentry><term>Zz:</term>
- <listitem><para> zeros in z-plane.</para></listitem></varlistentry>
- <varlistentry><term>Zp:</term>
- <listitem><para> poles in z-plane.</para></listitem></varlistentry>
- <varlistentry><term>Zg:</term>
- <listitem><para> gain in z-domain.</para></listitem></varlistentry>
- </variablelist>
-</refsection>
-
-<refsection>
- <title>Description</title>
- <para>
-a filter design can be transformed 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 in z-plane. 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.
- </para>
- <para>
-It does following transformation from s-plane to z-plane
- </para>
-
- <para>
- <latex>
- \begin{eqnarray}
- s --> \frac{2} {T} \frac {z - 1} {z + 1}
- \end{eqnarray}
- </latex>
- </para>
-</refsection>
-
-<refsection>
- <title>Examples</title>
- <programlisting role="example"><![CDATA[
-Sz = [1 2 3]
-Sp = [4 5 6]
-Sg = 1;
-T = 1;
-[Zb,Za] = bilinear (Sz, Sp, Sg, T)
-
- ]]></programlisting>
-</refsection>
-
-<refsection>
-<title>Modified by :</title>
-<simplelist type="vert">
-<member>Sonu Sharma, RGIT Mumbai (fellow at FOSSEE, IIT Bombay)</member>
- </simplelist>
-</refsection>
-
</refentry>