Help with Convolution!

[georgelymp]

I have two signals and I must calculate the Convolution.
u[n+pi]*δ[n-2kπ]
u:unit step function ,δirac function (δ[0]=1 ,δ[n]=0 for n !=0)
k=random integer

 

[Deleted member 4993]

I have two signals and I must calculate the Convolution.
u[n+pi]*δ[n-2kπ]
u:unit step function ,δirac function (δ[0]=1 ,δ[n]=0 for n !=0)
k=random integer

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Please share your work/thoughts about this assignment

 

[Romsek]

you should be able to instantly write down the convolution of any function with a delta function

Discrete convolution of functions \(\displaystyle f(n)\) and \(\displaystyle h(n)\) is given by

\(\displaystyle (f \ast h)(n) = \displaystyle \sum \limits_{m = -\infty}^\infty f(m)h(n-m)\)

\(\displaystyle f(n) = u(n+\pi)\\
h(n) = \delta(n-2k\pi)\)

given all this

when is \(\displaystyle h(n-m) != 0\) ?

thus what is the value of the convolution sum?