Figure P.3.1-4 8(1) 3.1-4 From definition (3.9a), find the Fourier transforms of the signals shown in Fig. P3.1-4. eat T (a) g(1) ear (b) 11 T Figure P.3.1-8 3.1-8 Show that the two signals in parts (a) and (b) of Fig. P3.1-8 are totally different in the time domain, despite their similarity. IGLX IG(f) -B f- B -B 88(f) B -B (a) -coto f- -B (b) f- B 2 88(f) B Hint: G(f) = |G(f)les (). For part (a), G(f) = 1.e-12fto, f≤B, whereas for part (b), [le-/20 <f≤ B G(f) 1/2 3.2-1 Sketch the following functions: (a) = 0>f≥-B (1/2); (b) A(3w/100); (c) (-10/8); (d) sinc (w//5); (e) sinc [(w10x)/5]; (f) sinc (1/5) П(1/10). Hint: g() is g() right-shifted by a. 3.2-2 From definition (3.9a), show that the Fourier transform of rect (1-5) is sinc (лf)e-j10лf 3.2-3 From definition (3.9b), show that the inverse Fourier transform of rect [(2лf 10)/2] is sinc (71) e10