imrep2ss

Arguments

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 — transfer function realization from frequency response
• arl2 — SISO model realization by L2 transfer approximation
• time_id — SISO least square identification
• armax — armax identification
• markp2ss — Markov parameters to state-space
• ldiv — polynomial matrix long division