In the example of Fig. 12-35, the input signal is oversampled, i.e., ωs = 2π/Ts > 2ωb....

In the example of Fig. 12-35, the input signal is oversampled, i.e., ωs = 2π/Ts > 2ωb. In Fig. 12-35(f), some of the high frequencies are cut off by the ideal lowpass digital filter. However, assuming that co is fixed, it should be possible to choose ωs so that y(t) = xc(t) for the example shown. Give a condition that relates Ts, co, and ωb so that y(t) = xc(t) if Xc (j ω) is bandlimited as shown in Fig. 12-35(a).