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Convolution in Discrete time of a function with Impulse with delay?

  1. Feb 14, 2010 #1
    Here is convolution:

    c[k]= (0.5)^k * delta(k-1)

    What do I do about delta(k-1)?
    I know if it is c[k]= (0.5)^k * delta(k), then it just equal (0.5)^k

    But what do I do with delta(k-1)?
  2. jcsd
  3. Feb 15, 2010 #2


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    Welcome to PF!

    Hi Kdar! Welcome to PF! :smile:

    (have a delta: δ and try using the X2 tag just above the Reply box :wink:)

    One method is to substitute u = k - 1, solve it, then substitute back again. :smile:
  4. Feb 15, 2010 #3
    Why not start from the definition then go with it?
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