Consider a system with transfer function given by (a) Sketch the magnitude and the phase response of this system. (b) Show that if the input to this system is a lowpass signal x(t), then the output is...

Consider a system with transfer function given by

(a) Sketch the magnitude and the phase response of this system. (b) Show that if the input to this system is a lowpass signal x(t), then the output is y(t) = axˆ(t − tg), where xˆ(t) is a distorted version of x(t) with Fourier transform given by Xˆ(ω) = X(ω)e^jφ0sgn(ω) .