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Question: You wish to observe the magnitude spectrum a signal consisting of a single sinusoid with an amplitude of 1.5 V and a frequency of 250 Hz, plus a DC offset voltage of 1.5 V. No other frequencies are present. You use exactly five cycles of the sinusoid (plus the DC offset) as input to an FFT. One cycle lasts 4 ms (since T0 = 1/F0 = 1/250), so five cycles last 20 ms. At a sample frequency of Fs = 1 kHz, this means you send 20 samples (data points) of the input signal to the FFT. Sketch an xy plot of the output of the magnitude of the FFT that results (you can ignore the phase of the FFT output). Be sure to show the output in the order which the data comes from the FFT, with no shifting or centering of any kind. The vertical axis should be the magnitude, in linear units (not decibels), and scaled for the number of data points as appropriate. Label the units of both axes. Note this this sketch should be of the magnitude spectrum, not the power spectrum.

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