y(t) is a bandpass signal such that |Y (j)| is non-zero only over the frequency band from 1 to 2 .

y(t) is a bandpass signal such that |Y (jω)| is non-zero only over the frequency band from ω1 to ω2. y(t) is mixed with cos(ω1t) and subsequently lowpass filter to produce a signal z(t), and the lowpass filter has absolute bandwidth equal to ω2 − ω1. How can the signal y(t) be recovered from samples of z(t) using a second mixer and a bandpass filter? How do you find the minimum sampling rate required, the frequency of the second mixer, the center frequency of the bandpass filter, and the absolute bandwidth of the bandpass filter?