Consider a continuous-time LTI system with frequency response of H(j omega) = 1 + j 250 omega/(2 - j 50 omega)2
Find the expression for the magnitude of H(j omega) and sketch its Bode plot (sketch asymptotes and the magnitude curves).
Find the expression for the phase of H (j omega) and sketch its Bode plot (sketch asymptotes and the magnitude curves).
Find the expression for the group delay of the system and sketch it.
Can you find a time domain input signal x(t) which by passing through this system would preserve its shape without any distortion? Explain.