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(20 points) A) A causal Continuous-time system has the following pole-zero diagram: jw S-plane Re -1...

(20 points) A) A causal Continuous-time system has the following pole-zero diagram: jw S-plane Re -1 - 2 Let y(t) = s(t) reprB) A second CT system has the following pole-zero diagram: jw x S-plane Re x = { let assume that the input signal is as follo

(20 points) A) A causal Continuous-time system has the following pole-zero diagram: jw S-plane Re -1 - 2 Let y(t) = s(t) represent the response of this system to a unit-step signal (1; 120 2(t) = u(t) = 0; otherwise. Assume that the Unit-Step response s(t) of this system is known to approach 1 as t + 0. Determine y(t) = s(t), justify your answers mathematically.
B) A second CT system has the following pole-zero diagram: jw x S-plane Re x = { let assume that the input signal is as follows 1; cos(t) > X(t) = 0; otherwise. Let ax and bk represent the Fourier series coefficients of the input and output signals, respectively, where the fundamental (lowest frequency component) of each signal has a period of 2n. It is known that .. Determine , justify your answers mathematically.
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(20 points) A) A causal Continuous-time system has the following pole-zero diagram: jw S-plane Re -1...
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