Signals and Systems - Convolution

AI Thread Summary
The discussion focuses on the challenges of performing convolution in reverse to determine the unknown function h[n] given the output y[n] and input x[n]. Participants emphasize that the convolution sum will only have two terms due to the nature of x[n]. They suggest using placeholders for h[n] and applying the convolution process as usual, while also reminding that the length of h[n] can be derived from the relationship between the lengths of x[n] and y[n]. A hint is provided regarding the digital delta function to assist in identifying x[n]. Overall, the conversation revolves around strategies for solving the convolution problem when one function is unknown.
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Homework Statement


http://img166.imageshack.us/img166/1162/untitledte2.jpg


Homework Equations


Convolution

y[n] = x[n] * h[n]


The Attempt at a Solution



I've never done convolutions going backwards..

right off the bat, I know I'll noly have 2 terms in the convolution sum, because of x term, but I don't have a clue how to determine the h[n]. It is not possible to write a response y as a convolution between x and h because h is unknown.

Any ideas?
 
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You know what signal x(n) is right? -- hint: what is the value of the digital delta function
You know how long h(n) is right? -- hint: Length of Conv = Length of x + length h -1

Put in place holders for the values of h and grind it out just like you were doing the convolution. It is the same idea as 2+x = 3 except that you have to add several values. Use two strips of paper if that helps. Don't forget to flip the final result.
 

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