The signal continuous x(t) is given by the following equation: (image 001) The signal will be passed through a frequency shaping filter which has an impulse response: (image 002) a) With the help of the Fourier Transform table, determine the spectrum of x(t) and provide a plot for that spectrum (if needed you can provide a magnitude plot and a phase plot for the spectrum). b) With the help of the Fourier Transform table, determine the frequency response of the frequency shaping filter above and provide a plot for the frequency response (if needed you can provide a magnitude plot and a phase plot for the frequency response). c) If the output of the frequency shaping filter above is a signal y(t), then determine both y(t) and the representation of y(t) in the frequency region or spectrum of y(t). Provide a plot for the spectrum of y(t) (if needed you can provide a magnitude plot and a phase plot for the spectrum). Note: if necessary, use the help of the Fourier Transform Table
The signal continuous x(t) is given by the following equation:
(image 001)
The signal will be passed through a frequency shaping filter which has an impulse response:
(image 002)
a) With the help of the Fourier Transform table, determine the spectrum of x(t) and provide a plot for that spectrum (if needed you can provide a magnitude plot and a phase plot for the spectrum).
b) With the help of the Fourier Transform table, determine the frequency response of the frequency shaping filter above and provide a plot for the frequency response (if needed you can provide a magnitude plot and a phase plot for the frequency response).
c) If the output of the frequency shaping filter above is a signal y(t), then determine both y(t) and the representation of y(t) in the frequency region or spectrum of y(t). Provide a plot for the spectrum of y(t) (if needed you can provide a magnitude plot and a phase plot for the spectrum). Note: if necessary, use the help of the Fourier Transform Table
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