Plot the spectrum for the following signals: a) f(t) = cos(10t) b) f(t) = cos² (10t) c) f(t) = cos³ (10t) d) Suppose we pass the signal cos³ (10t) through an ideal lowpass filter with cutoff frequency 20rad/sec. What is the resulting signal?

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**Plot the spectrum for the following signals:**

(a) \( f(t) = \cos(10t) \)

(b) \( f(t) = \cos^2(10t) \)

(c) \( f(t) = \cos^3(10t) \)

(d) Suppose we pass the signal \( \cos^3(10t) \) through an ideal lowpass filter with cutoff frequency \( 20 \text{rad/sec} \). What is the resulting signal?
Transcribed Image Text:**Plot the spectrum for the following signals:** (a) \( f(t) = \cos(10t) \) (b) \( f(t) = \cos^2(10t) \) (c) \( f(t) = \cos^3(10t) \) (d) Suppose we pass the signal \( \cos^3(10t) \) through an ideal lowpass filter with cutoff frequency \( 20 \text{rad/sec} \). What is the resulting signal?
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