10. A LITC system has a rational transfer function H(s). When appropriate, assum

Question

10. A LITC system has a rational transfer function H(s). When appropriate, assume that all initial conditions are zero. a) Is it possible for this system to output y(t)sin(100nt) u(t) in response to an input b) Is it possible for this system to output y(t) sin (100nt) u(t) in response to an input c) Is it possible for this system to output y(t) = sin (100t)in response to an input x(t) = d) Is it possible for this system to output y(t)-sin (100mt) in response to an input x(t)-cos(100?) u(t)? Explain. x(t) sin (5Ort) u (t) ? Explain. cos 100Tt)? Explain. x(t) sin(50nt)? Explain

Explanation / Answer

on LTIC system there can be magnitude change and phase angle shift, but the frequency of input should be same as frequency of output.

In (b) and (d) there is frequency change in input and output therefore for LTIC it is not possible.

In (a) and (c) there is only phase shift of 90o, therefore is possible.

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