A continuous-time signal y(t) = x1(t)x2(t) (multiplication)…

A continuous-time signal y(t) = x1(t)x2(t) (multiplication) is sampled by a periodic impulse train with period Ts. It is known that x1(t) is band limited to 100π and x2(t) is band limited to 200π. What is the minimum ωM such that Y(jω)=0 for |ω| > ωM? 

For a band-limited signal y(t) with Fourier transform Y(jω)…

For a band-limited signal y(t) with Fourier transform Y(jω) that satisfies Y(jω)=0 for |ω| > ωM, if impulse-train sampling is performed on y(t) with sampling frequency ωs and sampling period Ts, which of the following is the condition for y(t) to be recovered without loss from its samples using an appropriate lowpass filter? Check all correct answers.