A question in my electric engineering class

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kolycholy
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it's a question given in the sample exam

I think for the first question, there is not much we can do to recover the function x(t), because it gets squared ...

for the second part, sampling rate needs to be greater than 2*wm
but then we don't really know what;s going on with the LTI (right before the input gets sampled), so I'm not sure if we can successfully predict the sampling rate for the second part either

any suggestions?
 
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kolycholy, what can you tell us about sampling rates and aliasing?

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