imrep2ss

Scilab Function
Last update : 25/04/2007

imrep2ss - state-space realization of an impulse response

### Calling Sequence

  `[sl]=imrep2ss(v [,deg])`

### Parameters

- `v` : vector coefficients of impulse response, `v(:,k)` is the kth sample
- `deg` : integer (order required)
- `sl` : `syslin` list

### Description

Impulse response to linear system conversion (one input). `v` must have an even number of columns.

### Examples

    s=poly(0,'s');
    H=[1/(s+0.5);2/(s-0.4)]   //strictly proper
    np=20;w=ldiv(H('num'),H('den'),np);
    rep=[w(1:np)';w(np+1:2*np)'];   //The impulse response
    H1=ss2tf(imrep2ss(rep))
    z=poly(0,'z');
    H=(2*z^2-3.4*z+1.5)/(z^2-1.6*z+0.8)     //Proper transfer function
    u=zeros(1,20);u(1)=1;
    rep=rtitr(H('num'),H('den'),u);   //Impulse rep.
    //   <=> rep=ldiv(H('num'),H('den'),20)
    w=z*imrep2ss(rep)   //Realization with shifted impulse response
    // i.e strictly proper to proper
    H2=ss2tf(w);

### See Also

`frep2tf` , `arl2` , `time_id` , `armax` , `markp2ss` , `ldiv` ,