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author | ttt | 2018-12-06 13:42:14 +0530 |
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committer | ttt | 2018-12-06 13:42:14 +0530 |
commit | d6e8cfd86be242d0a1a09a1ef7d8b7f3d12af795 (patch) | |
tree | fdbe9d1a10e7c256e86d7efae276fa75615cd0ba /help/en_US/bilinear.xml | |
parent | 3ffa5ac619587eadfdb4ffd3e2fee57fee385e21 (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.xml | 77 |
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> |