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Hello! Could you please help me with the following signal problem?
Hello! Could you please help me with the following signal problem?Consider a linear system with impulse response h(t) = (e^−t)(cos t − sin t) U(t).a) Find the transfer function H(s).b) Compute the input x(t) which generates the outputy(t) = (e^−t)cos(t − 1)U(t − 1).c) Find H(jω). Is H(jω) = H(s)|_(s=jω?) Why?d) The input x2(t) = 100 + cos(2t) is now applied to the system. What is the average (DC) value of the output? [Think before you start writing the equations.]e) For the input x2(t) of the previous question, what is the mean square error of the output when it is approximated up to the third harmonic? [Again,think.]Thanks!
