# Consider three (causal) LTI systems, corresponding to transfer functions described (except for gain K) by the...

###### Question:

Consider three (causal) LTI systems, corresponding to transfer functions described (except for gain K) by the following pole-zero plots. Im Im ++j10 X - -100 - 10 Re -10 : 5 * +-j10 Pole-Zero Plot for System A Pole-Zero Plot for System B Pole-Zero Plot for System C In each part below, determine which of the three systems can meet the given specifications, including any implications on what value(s) the transfer function's gain K must be. (a) (10 points) The zero-input response exhibits a time constant of decay of 1, while the steady-state response to an input 5u(t) is 3. System (circle one): A B C Value(s) of Gain K: (b) (10 points) The Bode magnitude plot has a straight-line asymptotic approximation sketched below. | HW dB 20+......... 1000 10 100 w (log scale) System (circle one): A B C Value(s) of Gain K:

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