Answer Happy

Another causal LTI system has the system function Hz(s) 20 (5+1) $2+45+2504

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 ? g) (2) Is the system oscillatory ? Explain your answer. h) (2) Is the system over-damped, under-damped or critically damped ? Explain your answer. i) (2) Specify the maximum gain, the half-power gain and the half-power frequency / frequencies. j) (2) Roughly sketch the magnitude response. Show important values. If an input x(t) = 1 + 4 sin(52t) + 2 sin(1000t) is applied to the causal LTI system Hz(s), k) (2) Estimate the frequency response (in exponential form) at w = 0, w = 52 rad/s and w = 1000 rad/s. D) (2) Represent the output y(t) as the sum of real sine signals.