Explain the lti system with rational system function

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Reference no: EM13246613

Suppose we have a causal LTI system with rational system function H(s). We don't know H(s), but we do have the following information:

i. When the input to the system is x(t) = u(t), the output y(t) is absolutely integrable.

ii. When the input to the system is x(t) = tu(t), the output y(t) is not absolutely integrable.

iii. H(1) = 3.

iv. The signal r(t), given below, is of finite length.
r(t) = d^h/dt^2+ 2(dh/dt)+ 2h(t)
v. H(s) has exactly one zero at f.

Determine H(s) as precisely as you can.

Reference no: EM13246613

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