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(Solved): The input to the LTI system shown is:The coefficients for the LTI system are:and the sampling freque ...


The input to the LTI system shown is:
\( x(t)=5+4 \cos (1500 \pi t)+3 \cos (2250 \pi t) \)
The coefficients for the LTI system are:
\( b_{k}=\{1,-2.4142,2.4142,-1\} \)
and the sampling frequency is fs = 1000 samples/s.

a. Write the difference equation for the system in terms of y[n] and x[n].

b. What frequencies (in Hz) will be in the output, y(t)?


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Solution:

a. To write the difference equation for the system, we can start by representing the LTI sy...
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