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  3. 6 consider the signal xt cos2 x fi x...

Question: 6 consider the signal xt cos2 x fi x...

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6. Consider the signal x(t) = cos(2π x fi x t ) + cos(2TX f2 x t) where fl=100 and f2=500. :30 points) a) b) c) What is the frequency resolution of your FFT computation? Find the expression of the discrete-time signal of x[n] that is obtained by sampling the signal x(t) at a rate off, 1500 samples/sec. Compute the FFT of x[n] with an FFT size N-30, and plot the magnitude of the FFT of the signal in the frequency range of -f/2 to f/2. (Hint: use fftshift) d) Plot the magnitude of the FFT of the output signal y[n] that is obtained when x[n] is filtered by passing it through the system whose difference equation is given by given question #2(b). Use the same frequency range as(b) e) Discuss the result obtained in (d) f) Repeat (b), if fi- 480 and f-500. Can you tell the frequencies of the signal from your plot? Why?

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