A general bandpass signal with spectrum centered at ω = ωc is represented as x bp (t) = x(t) cos[ω c t + θ(t)], where x(t) is the envelope of the signal and θ(t) is a timevarying phase. When this...

A general bandpass signal with spectrum centered at ω = ωc is represented as x_bp(t) = x(t) cos[ω_ct + θ(t)], where x(t) is the envelope of the signal and θ(t) is a timevarying phase. When this signal is passed through the system in Eq. (2.17), show that the system output is given by y_bp(t) = |a|x(t − tg) cos[ωc(t − tg) + φ₀
+ θ(t − tg)].