Signals & Systems - what's the output?

AI Thread Summary
The discussion revolves around determining the output of a system given the input x[n] and the impulse response h[n]. The input is defined as x[n] = r[n] - 2r[n - 1] + r[n - 2], and the impulse response is h[n] = δ[n - 2]. The proposed output is y[n] = u[n - 3], but there is confusion regarding the multiplication of the two signals, leading to the assertion that y[n] could be 0. Participants are seeking clarification and tips on the correct output calculation.
Angello90
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Homework Statement


Input and system response is as follow:

x[n] = r[n] - 2r[n - 1] + r[n - 2]
h[n] = \delta[n - 2]

The output is:
y[n] = u[n - 3]

Is that true?


Homework Equations





The Attempt at a Solution


I draw the h[n] and x[n] and they looked as follows:
attachment.php?attachmentid=30426&stc=1&d=1291631179.jpg


As for me when these two are multiplied, it will become y[n]=0.
Am I right?

Thanks
 

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Can anyone give me a tip maybe? Thanks!
 

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