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

  • Thread starter Kdar
  • Start date
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)?


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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:
Why not start from the definition then go with it?

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