Chapter 4 Problem solution 4.24 (a) Determine which,if any, of the real signals depicted in Figure P4.24 have Fourier transform that satisfy each of the following conditions: 1.Re{Xo)}=0(a),(d) 2.Im{X(o)}2=0(e),( 3. There exists a real a such that eid@ xja)is real (a),(b),(e),(f) 4.」X(o)o=0(a),(b,o),(,(0 5.∫aX(o)o=0(),(o,(), 6. X Gjo) is periodic(b)8 Chapter 4 Problem Solution 4.24 (a) Determine which ,if any , of the real signals depicted in Figure P4.24 have Fourier transform that satisfy each of the following conditions: 1. ReX(j)= 0 2. ImX(j)= 0 ( ) = 0  + − 4. X j d ( ) = 0  + − 5. X j d 3. There exists a real such that is real. ( )   e X j j  6. is periodic X(j) (a) , (d) (e) , (f) (a) , (b) , (e) , (f) (a) , (b) , (c) , (d) , (f) (b) , (c) , (e) , (f) (b)