yoran
Apr13-08, 07:38 AM
Hi,
I was wondering what substitution to try when finding a particular solution for a recurrence equation with a linear combination of impulses on the right side of the equation. I think an example will clarify this.
Given the recurrence equation
y[k+2]-4y[k]=\delta [k] + 2\delta [k+1]
with \delta [k] being the discrete impulse, i.e \delta [k] = 1 for k=0 and \delta [k] = 0 for k\neq 0.
First you must find a solution for the homogeneous equation. I have no problems with that. But I don't know what substitution to use for finding the particular solution? Can someone help me with that?
Thanks,
Yoran
I was wondering what substitution to try when finding a particular solution for a recurrence equation with a linear combination of impulses on the right side of the equation. I think an example will clarify this.
Given the recurrence equation
y[k+2]-4y[k]=\delta [k] + 2\delta [k+1]
with \delta [k] being the discrete impulse, i.e \delta [k] = 1 for k=0 and \delta [k] = 0 for k\neq 0.
First you must find a solution for the homogeneous equation. I have no problems with that. But I don't know what substitution to use for finding the particular solution? Can someone help me with that?
Thanks,
Yoran