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## Homework Statement

The signal y(t) is generated by convolving a band limited signal x

_{1}(t) with another band limited signal x

_{2}(t) that is y(t)=x

_{1}(t)*x

_{2}(t) where:

--> X

_{1}(jω)=0 for|ω| > 1000Π

--> X

_{2}(jω)=0 for|ω| >2000Π

Impulse train sampling is performed on y(t) to obtain:

--> y

_{p}(t)= [summation from n = (−∞,∞)] y(nT)δ(t− nT)

Specify the range of values for sampling period T which ensures that y(t) is recoverable from y

_{p}(t).

## Homework Equations

All of the equations that I would are most likely showing.

## The Attempt at a Solution

My thoughts were to plug in (nT) for every t in both x

_{1}(t) and x

_{2}(t) and then take the Fourier transform of that, cut of the edges where the transforms are equal to zero and then that is where I go blank...

I imagine that is the right implementation to start the problem with, but please correct me if I am wrong. Thank you in advance to all who may be able to help - it is much appreciated!!!