1. Aug 31, 2006

### LM741

hey something is really confusing me...

we are given this impulse response

h[k] = 2d[k] +((0.8)^k).u[k] + (2(-0.4)^k).u[k]

where d is delta...

using the convolution, determine the ZERO STATE RESPONSE for an input signal x[k] = 2u[k+2] - 2u[k-4].

Now i kown how to solve that using the convoltion sum (as required):

$$y[n] = x[n] * h[n] = \sum_{k=-\infty}^{\infty}h[k] x[n-k]$$

my only problem is that this evaluates the total reponse, y[k]!!!
where our total reponse is equal to the zero state response and the zero input response...
but we just want zero state response - my peers and a tutor say that the convoltution sum is just the zero state response!!
is this true...????
they also told me that the zero state response is not necessarily the forced response - (but in textbooks and other sources they always refer to these as the same thing)
thanks...