A periodic signal x(t) with period T = 2 has the following Fourier coefficients for its...

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A periodic signal x(t) with period T = 2 has the following Fourier coefficients for its complex exponential Fourier Series 0, D -0 if k is even if k is odd The signal x(t) is applied to a linear time-invariant continuous-time system with the magnitude and phase response in the following figure: 1) Determine the Fourier Series of the input x(t), 2) Determine the system output due to the input x(t). -27 27 Figure 5: Frequency magnitude response of the system -/2 Figure 6: Frequency phase response of the system A periodic signal x(t) with period T = 2 has the following Fourier coefficients for its complex exponential Fourier Series 0, D -0 if k is even if k is odd The signal x(t) is applied to a linear time-invariant continuous-time system with the magnitude and phase response in the following figure: 1) Determine the Fourier Series of the input x(t), 2) Determine the system output due to the input x(t). -27 27 Figure 5: Frequency magnitude response of the system -/2 Figure 6: Frequency phase response of the system