Question: Consider a linear time-invariant system with input x(r) and output y(t). The frequency response of the system H() is shown below, plotted as magnitude

Consider a linear time-invariant system with input x(r) and output y(t). The frequency response of the system H() is shown below, plotted as magnitude and phase vs frequency in rad/s. [Hal 3 Ha) (radians) 0 -2 0 00 0 63 2 2 6 b) What is the average power in the input signal x(t) (from part a.)? c) What is the average power in the output signal v(6)? (-8,-4) (4,2) 8 2--4 a) Determine the input, x(r), to the system that will produce the output y(t)=2+8cos(21+5) Your answer must be simplified as much as possible. 36 + 6/3 S 44

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