4. A signal g(t) band-limited to B Hz is sampled using a rectangular pulse train t- 8B 2B x,0)= rece(4=n.7.). Note that 7 = and the sampling period 7, => 1. (a) For the rectangular pulse train x,(t), the pulse at the centre is x(t)= rect(t/7). Find its Fourier transform X(S). (b) Determine the Fourier coefficients {C} of the periodic sampling function xy(t). (c) Show that the sampled-data signal g(t) is given by 1 g where f.=2B. Can the signal g(t) be perfectly recovered by passing g(t) through an ideal low-pass filter (LPF). What are the filter bandwidth and gain? where Alt/t) is a triangular pulse spreading over 21 seconds (from 1 to 7 ) and 1 = 1/(16B), determine the corresponding sampled- data signal g(t). 30 = & sine ( 30) 8(t)e/2.2012 N=0 (d) 1f ,0)= -(4-5) tnl N=- 4. A signal g(t) band-limited to B Hz is sampled using a rectangular pulse train t- 8B 2B x,0)= rece(4=n.7.). Note that 7 = and the sampling period 7, => 1. (a) For the rectangular pulse train x,(t), the pulse at the centre is x(t)= rect(t/7). Find its Fourier transform X(S). (b) Determine the Fourier coefficients {C} of the periodic sampling function xy(t). (c) Show that the sampled-data signal g(t) is given by 1 g where f.=2B. Can the signal g(t) be perfectly recovered by passing g(t) through an ideal low-pass filter (LPF). What are the filter bandwidth and gain? where Alt/t) is a triangular pulse spreading over 21 seconds (from 1 to 7 ) and 1 = 1/(16B), determine the corresponding sampled- data signal g(t). 30 = & sine ( 30) 8(t)e/2.2012 N=0 (d) 1f ,0)= -(4-5) tnl N=