I am modulating the signal x(t) = 2 Cos (200 t) with y(t) = 5 Cos...

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I am modulating the signal x(t) = 2 Cos (200π t) with y(t) = 5 Cos (2000π t). a) Plot the spectrum of the modulated signal. Label the plot carefully. b) Assume that the modulated signal is passed through a high-pass filter with cutoff frequency of 1000 Hz. Plot the spectrum of the output of the filter. Label the plot carefully. I am modulating the signal x(t) = 2 Cos (200π t) with y(t) = 5 Cos (2000π t). a) Plot the spectrum of the modulated signal. Label the plot carefully. b) Assume that the modulated signal is passed through a high-pass filter with cutoff frequency of 1000 Hz. Plot the spectrum of the output of the filter. Label the plot carefully.