The signal y(t) is generated by convolving a band limited signal x1(t) with another band limited signal x2(t) that is y(t)=x1(t)*x2(t) where:
--> X1(jω)=0 for|ω| > 1000Π
--> X2(jω)=0 for|ω| >2000Π
Impulse train sampling is performed on y(t) to obtain:
--> yp(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 yp(t).
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 x1(t) and x2(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!!!