A continuous-time signal r(t) is given as a product of two sinusoidal r(t) = cos (20rt)...

 

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A continuous-time signal r(t) is given as a product of two sinusoidal r(t) = cos (20rt) - cos (60πt) · cos (100ml) (a) (10 points) Determine the Fourier series coefficients of this signal and plot its spectrum. (b) (5 points) Is the signal r(t) periodic? If so, determine its period and frequency. (c) (5 points) We want to sample the signal r(t) to obtain the discrete-time signal z[n]. Determine the minimum sampling rate we can use to ensure no aliasing occurs. signals as follows: A continuous-time signal r(t) is given as a product of two sinusoidal r(t) = cos (20rt) - cos (60πt) · cos (100ml) (a) (10 points) Determine the Fourier series coefficients of this signal and plot its spectrum. (b) (5 points) Is the signal r(t) periodic? If so, determine its period and frequency. (c) (5 points) We want to sample the signal r(t) to obtain the discrete-time signal z[n]. Determine the minimum sampling rate we can use to ensure no aliasing occurs. signals as follows:

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