A question in my electric engineering class

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SUMMARY

The discussion centers on the challenges of recovering the function x(t) in an electric engineering context, particularly when it is squared. Participants highlight the necessity for a sampling rate greater than twice the maximum frequency (2*w) to avoid aliasing. However, uncertainties regarding the Linear Time-Invariant (LTI) system's behavior prior to sampling complicate the prediction of the required sampling rate. The conversation emphasizes the critical relationship between sampling rates and signal recovery in engineering applications.

PREREQUISITES
  • Understanding of Linear Time-Invariant (LTI) systems
  • Knowledge of Nyquist-Shannon sampling theorem
  • Familiarity with signal processing concepts
  • Basic principles of function recovery in engineering
NEXT STEPS
  • Research the Nyquist-Shannon sampling theorem in detail
  • Explore techniques for analyzing LTI systems
  • Study the effects of aliasing on signal processing
  • Learn methods for function recovery from sampled data
USEFUL FOR

Electrical engineering students, signal processing professionals, and anyone involved in designing systems that require accurate signal recovery and sampling rate determination.

kolycholy
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[img=http://img214.imageshack.us/img214/9254/untitledqqag4.th.jpg]
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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Thread moved to the homework forums.

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

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