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Diffstat (limited to 'help/en_US/sos2ss.xml')
-rw-r--r-- | help/en_US/sos2ss.xml | 81 |
1 files changed, 80 insertions, 1 deletions
diff --git a/help/en_US/sos2ss.xml b/help/en_US/sos2ss.xml index 99a5812..d69c4c7 100644 --- a/help/en_US/sos2ss.xml +++ b/help/en_US/sos2ss.xml @@ -17,7 +17,86 @@ <refnamediv> <refname>sos2ss</refname> - <refpurpose>[nargout,nargin]=argn();</refpurpose> + <refpurpose>Converts Digital Filter Second order section parameters to steady state form. </refpurpose> </refnamediv> + +<refsection> +<title>Calling Sequence</title> + +[A,B,C,D] = sos2ss(sos) +[A,B,C,D] = sos2ss(sos,g) + +</refsection> +<refsection> + <title>Parameters</title> + <variablelist> + <varlistentry><term>[A,B,C,D]:</term> + <listitem><para>Steady state parameters.</para></listitem></varlistentry> + <varlistentry><term>sos:</term> + <listitem><para> Second order sectional matrix.</para></listitem></varlistentry> + <varlistentry><term>g:</term> + <listitem><para>gain of the system.</para></listitem></varlistentry> + </variablelist> +</refsection> + + +<refsection> +<title>Description</title> +<para>sos2ss converts a second-order section representation of a digital filter to an equivalent state-space representation.</para> +<para> +[A,B,C,D] = sos2ss(sos) converts sos, a system expressed in second-order section form, to a single-input, single-output state-space representation: + +x(n+1)=Ax(n)+Bu(n), +y(n)=Cx(n)+Du(n).</para> + +<para> + + <latex> + \begin{eqnarray} + f(x,a,r) = \frac{1}{r^{-a}\Gamma(a)} \int_0^x t^{a-1} \exp\left(-rt\right) dt + \end{eqnarray} + </latex> + +</para> + + + +</refsection> + +<refsection> + <title>Examples</title> + <programlisting role="example"><![CDATA[ +sos = [1 1 1 1 0 -1 ; + -2 3 1 1 10 1]; +[A,B,C,D] = sos2ss(sos,2); +//EXPECTED OUTPUT: +//D =- 4. +//C =42. 4. - 32. - 2. +//B =[1. 0. 0. 0. 0.]' +//A =[- 10. 0. 10. 1. ; 1. 0. 0. 0. ; 0. 1. 0. 0. ; 0. 0. 1. 0. ] + ]]></programlisting> +</refsection> + + +<refsection> + <title>Authors</title> + <simplelist type="vert"> + <member>Parthasrathi Panda</member> + </simplelist> +</refsection> + + + +<refsection> + <title>See also</title> + <simplelist type="inline"> + <member><link linkend="sos2tf">abs</link></member> + <member><link linkend="sosbreak">mean</link></member> + <member><link linkend="sos2ss">max</link></member> + + </simplelist> +</refsection> + + </refentry> |