Consider an LTI system with impulse response h n (a)u n a 1 Write a Matlab program to do the followings (Only part (d) is analytical a) With a 0 9, Sketch the impulse response h n versus n Select a suitable range of n such that the signal x n seems to converge to zero value b) Find and sketch the step response of the system and find its steady state value Compare the value obtained with Matlab with the theoretical expected value c) Let us defined the settling time as the time required for the step response to reach and stay within a range of 5 of the final steady state value It can be used to evaluate system speed (higher settling time corresponds to a slower system) Use Matlab to find the settling time for this case d) Find analytically the magnitude of the system transfer function and sketch the magnitude of the system transfer function H(2) versus n in the range 0sn e) Repeat (d) using Matlab Compare the value 3 dB cut off frequency estimated using your Matlab code with the one estimated analytically (account for any minor differences) f) Repeat all above steps with a 0 7, 0 5, 0 9, 0 7, and 0 5 a 0 9 a 0 7 a 0 5 a 0 9 a 0 7 a 0 5 Settling time Analytical SS value Estimated SS value Filter type (Low High) Analytical 3dB Q Matlab 3dB Q

Question: Consider an LTI system with impulse response h[n]=(a)u[n] a <1 Write a Matlab program to do the followings: (Only part (d) is analytical a)

Consider an LTI system with impulse response h[n]=(a)u[n] a

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