25+5 The system function of a causal LTI system is given as Hi(S) = 52 +55+6 a) (2) Write down the differential equation
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25+5 The system function of a causal LTI system is given as Hi(S) = 52 +55+6 a) (2) Write down the differential equation
25+5 The system function of a causal LTI system is given as Hi(S) = 52 +55+6 a) (2) Write down the differential equation relating the input x(t) and the output y(t). b) (2) Determine the output y(t) when the input is x(t) = e-tu(t) is applied to Hi(s). 20 (5+1) Another causal LTI system has the system function Hz(s) 52 +45+2504 c) (2) Sketch the pole-zero plot. d) (2) Specify the ROC. Explain your answer. e) (2) Is the system stable? Explain your answer. f) (2) What is the value of the natural frequency of this system? What is the value of its zeta parameter ?
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