4.4-3 Signals fi(t) = 10*rect (10*t) and f2(t) = f(t) are applied at the inputs of the ideal lowpass filters Hi(w) = rec

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4 4 3 Signals Fi T 10 Rect 10 T And F2 T F T Are Applied At The Inputs Of The Ideal Lowpass Filters Hi W Rec 1 (160.71 KiB) Viewed 31 times

4.4-3 Signals fi(t) = 10*rect (10*t) and f2(t) = f(t) are applied at the inputs of the ideal lowpass filters Hi(w) = rect ( 40,0001) and H2(w) = rect (20,000R) (Fig. P4.4-3). The outputs yı(t) and ya(t) of these filters are multiplied to obtain the signal y(t) yı(t)yz(t). (a) Sketch Fi(w) and F2(w). (b) Sketch H.(w) and H2(w). (c) Sketch Yi(w) and Ya(w). (d) Find the bandwidths of yı(t), ya(t), and y(t). Hint for part (d): Use the convolution property and the width property of convolution to determine the bandwidth of yı(t)yz(t). 1,(1) y (1) H,10) y(t)=y, (+) y (1) Sz(!) y (1) H (0) Fig. P4.4-3