My Professor is unavailable, and there is no TA.
i know the basics of wave propagation but i just don't understand how to perform the summation.
Following your steps i get:
$u(x,t)=\sum\limits_{\omega =20\pi }^{400\pi }{[A(\omega )~{{e}^{i(\omega t)}}+B(\omega )~{{e}^{i(5k-\omega t)}}}]\,\,$
Ok, i think i got part A:
In order to conserve all the frequencies, there must be at least 2 samples per 1 wave length. so the spatial Nyquist is then: ${{k}_{\max }}=\frac{1}{2\Delta x}=0.1$
and on the other hand:
$k=f/v\to {{k}_{\max }}=200/330\sim 0.6$
so we won't get all the energy...
Thank you
Thank you,
but I'm not sure that i can use the given information in part b for calculations in part a ...
and as for part b, how can i get anything about the amplitude ?
Thank you! but...
How did you compute the Nyquist frequency in this ?
In order to calculate the Nyquist frequency i need the sampling time interval of the receivers no ?
Homework Statement
Two receivers, d=5 [meters] apart, are recording an air wave signal.
The air wave travels in v=330 [m/sec] and coming from one side of the receivers.
The air wave contains all the frequencies between 10 [Hz] and 200 [Hz].
a) If we sum up the recorded signal from the...