Question

4. A real signal x(t) has the following spectrum 20 10e\(^{-j\pi/4}\) 8e^{j\pi/5} 10e^{j\pi/4} 8e^{-j\pi/5} -400\pi -150\pi 0 150\pi 400\pi \omega a) Write an equation for x(t) as a sum of cosines. b) Plot the spectrum of the signal y(t) = 0.5x(t) - 3cos(240\pi(t - 0.001))

          4. A real signal x(t) has the following spectrum
20
10e\(^{-j\pi/4}\)
8e^{j\pi/5}
10e^{j\pi/4}
8e^{-j\pi/5}
-400\pi
-150\pi
0
150\pi
400\pi
\omega
a) Write an equation for x(t) as a sum of cosines.
b) Plot the spectrum of the signal
y(t) = 0.5x(t) - 3cos(240\pi(t - 0.001))

4. A real signal x(t) has the following spectrum
20
10e^-jπ/4
8e^jπ/5
10e^jπ/4
8e^-jπ/5
-400π-150π0
150π400πωa) Write an equation for x(t) as a sum of cosines.
b) Plot the spectrum of the signal
y(t) = 0.5x(t) - 3cos(240π(t - 0.001))

Added by Kristin B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Aman Kumar

Step 1

From the given spectrum, we can see that there are 5 non-zero frequency components: 10e-4, 10e4, 8e5, 8e-f=5, and 400. The corresponding amplitudes are 20, 10e4, 8e5, 8e-f=5, 400, 150, 0, 150, and 400. The equation for x(t) as a sum of cosines can be written Show more…

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Thanks for your feedback!

A real signal x(t) has the following spectrum: 20 10e-4 10e4 8e5 8e-f=5 400 150 0 150 400 a) Write an equation for x(t) as a sum of cosines. b) Plot the spectrum of the signal yt = 0.5xt - 3cos(240t) - 0.001.