A continuous-time system is designed to have impulse response of h(t) = 2e-4tu(t). For an input signal x(t) = 2 + cos(979t) - cos(4πt + x) (a) find the output y(t) after passing x(t) through the system, you may need to round your results to four decimal places -b) plot the frequency spectrum of y(t), please include the complex amplitudes n your drawing

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A continuous-time system is designed to have impulse response of
h(t) = 2e-4tu(t). For an input signal x(t) = 2 + cos(979t) - cos(4πt + ₁)
(a) find the output y(t) after passing x(t) through the system, you may
need to
round your results to four decimal places
(b)
plot the frequency spectrum of y(t), please include the complex
amplitudes
in your drawing
x(t)
2
system
4
^^^^
6
y(t)
A
Time (s)
10
z(t)
12
14
16
Transcribed Image Text:A continuous-time system is designed to have impulse response of h(t) = 2e-4tu(t). For an input signal x(t) = 2 + cos(979t) - cos(4πt + ₁) (a) find the output y(t) after passing x(t) through the system, you may need to round your results to four decimal places (b) plot the frequency spectrum of y(t), please include the complex amplitudes in your drawing x(t) 2 system 4 ^^^^ 6 y(t) A Time (s) 10 z(t) 12 14 16
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