diff options
Diffstat (limited to 'help/en_US/bilinear.xml')
-rw-r--r-- | help/en_US/bilinear.xml | 52 |
1 files changed, 52 insertions, 0 deletions
diff --git a/help/en_US/bilinear.xml b/help/en_US/bilinear.xml new file mode 100644 index 0000000..0361759 --- /dev/null +++ b/help/en_US/bilinear.xml @@ -0,0 +1,52 @@ +<?xml version="1.0" encoding="UTF-8"?> + +<!-- + * + * This help file was generated from bilinear.sci using help_from_sci(). + * + --> + +<refentry version="5.0-subset Scilab" xml:id="bilinear" xml:lang="en" + xmlns="http://docbook.org/ns/docbook" + xmlns:xlink="http://www.w3.org/1999/xlink" + xmlns:svg="http://www.w3.org/2000/svg" + xmlns:ns3="http://www.w3.org/1999/xhtml" + xmlns:mml="http://www.w3.org/1998/Math/MathML" + xmlns:scilab="http://www.scilab.org" + xmlns:db="http://docbook.org/ns/docbook"> + + <refnamediv> + <refname>bilinear</refname> + <refpurpose>Transform a s-plane filter specification into a z-plane specification</refpurpose> + </refnamediv> + + +<refsynopsisdiv> + <title>Calling Sequence</title> + <synopsis> + [ZB, ZA] = bilinear (SB, SA, T) + [ZB, ZA] = bilinear (SZ, SP, SG, T) + [ZZ, ZP, ZG] = bilinear (...) + </synopsis> +</refsynopsisdiv> + +<refsection> + <title>Description</title> + <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. + </para> + <para> +Note: this differs from the bilinear function in the signal processing toolbox, which uses 1/T rather than T. + </para> + <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. +</para> +</refsection> + +<refsection> + <title>Examples</title> + <programlisting role="example"><![CDATA[ +[ZB,ZA]=bilinear([1],[2,3],3) + ]]></programlisting> +</refsection> +</refentry> |