05/09 Laplace Transform and LTI Systems. Consider a continuous-time LTI system whose transfer function is given by H(s)

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05 09 Laplace Transform And Lti Systems Consider A Continuous Time Lti System Whose Transfer Function Is Given By H S 1 (117.12 KiB) Viewed 34 times

05/09 Laplace Transform and LTI Systems. Consider a continuous-time LTI system whose transfer function is given by H(s) = 8² - (s + 2)2 (a) (2 points) How many poles and zeros does this system have? (b) (2 points) Carefully sketch the pole-zero pattern in the s-plane. (c) (2 points) Now assume that the system is stable. Sketch the ROC in the s-plane. (d) (2 points) Is this system causal? Justify. (e) (2 points) Find a differential equation relating the input aſt) and output y(t) of the syster a