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Chap3_spectrum

# Chap3_spectrum - Match them up 1 2 3 4 5-1-0.5 0.5 1 1.5 2...

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Spectrum 1. Determine the fundamental frequency of the following signals, and plot their sinusoidal spectra (both magnitude and phase) and their exponential spectra. a) x(t) = 2+3cos(0.2t)+cos(0.25t+ π /2)+4cos(0.3t- π ) b) x(t) = 1+10cos(2 π (60)t+ π /8) + 2cos(2 π (300)t- π /4) 2. Find an expression for x(t) and plot the spectrum for each graph. 3. Repeat Problem 2 for the following plot: 4. Draw the spectrum for the following signal, and make a rough sketch of x(t). ) t 2000 cos( ) t 200 cos( 10 ) t ( x π π = 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 -12 -10 -8 -6 -4 -2 0 2 4 6 8 Time (sec) x(t) a 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 -2 -1 0 1 2 3 4 Time (sec) b -0.02 -0.015 -0.01 -0.005 0 0.005 0.01 0.015 0.02 -2 -1 0 1 2 3 4 5 6 Time (sec)

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5. Time signals and their corresponding spectra are shown below. However, they are in random order.
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Unformatted text preview: Match them up. 1. ________ 2. _________ 3. ________ 4. ________ 5.________-1-0.5 0.5 1 1.5 2 2.5 3 3.5 4-5 5 Time (sec) x 3 (t)-1-0.5 0.5 1 1.5 2 2.5 3 3.5 4-5 5 Time (sec) 4-1-0.5 0.5 1 1.5 2 2.5 3 3.5 4-5 5 Time (sec) 1-1-0.5 0.5 1 1.5 2 2.5 3 3.5 4-5 5 Time (sec) 2-1-0.5 0.5 1 1.5 2 2.5 3 3.5 4-5 5 Time (sec) 5-4-3-2-1 1 2 3 4 1 2 3 4 5 frequency (Hertz) magnitude, a-4-3-2-1 1 2 3 4 1 2 3 4 5 frequency (Hertz) magnitude, b-4-3-2-1 1 2 3 4 1 2 3 4 5 frequency (Hertz) magnitude, c-4-3-2-1 1 2 3 4 1 2 3 4 5 frequency (Hertz) magnitude, d-4-3-2-1 1 2 3 4 1 2 3 4 5 frequency (Hertz) magnitude, e...
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Chap3_spectrum - Match them up 1 2 3 4 5-1-0.5 0.5 1 1.5 2...

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