X_{c}(t)=2 \cdot \cos (2 \pi 40 t)+3 \cdot \sin (2 \pi 60 t)-\cos (2 \pi 160 t)-\cos (2 \pi 300 t)+4 \cdot \sin (2 \pi 340 t) is ideally sampled

with = 2(pi)100 rad/sec. What is the output signal X„(t) which is obtained by passing the sampled signal through a reconstruction filter which is an ideal bandpass filter with cutoff frequencies N, = 2(pi)120 and (omega) = 2(pi)180 rad/sec and G=T ?Hint: