Q.1 (16) The block diagram of C/D and D/C system is shown below. x(t) P(t) DT LTI System X(0) Conversion of x[n] impulse train to sequence Ya Inl Conversion of Yp () sequence to impulse train CT lowpass Filter ye(t) 22 A CT signal x(t) has bilateral bandwidth of 10 kHz and its frequency spectrum is shown below. 1 w (rad/s) 0 WH -038 a) (2) What is the value of wyr (in rad/s)? If x(t) is sampled using p(t) = (t-nT) where T = 50 s. b) (2) If the time duration of x,(t) is one second, specify the total number of sample points contained in xa[n]. c) (2) Sketch the frequency spectrum of x,(t). Show important values. d) (2) Sketch the frequency spectrum of x[n] for | |3. Show important values. The DT LTI system Ha(en) is an ideal unity gain highpass filter with cutoff frequency of 0.2. e) (2) Sketch the frequency spectrum of ya[n] for | |3. Show important values. f) (2) Sketch the frequency spectrum of y,(t). Show important values. If the CT signal x(t) is applied to the following system, x(t) y(t) a(t) 25 -50 0 50 100 (s) g) (2) Find FS coefficients of q(t) for k = -1,0,1. h) (2) Sketch the frequency spectrum of y(t). Show important values.