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S “ S “ |“d 3|) : :2t bt?v M V 3 I k k k5 “ S “ S “ |“d 3|) s si s5 i Y sAs5 k5 (r k5 s5B k5Ba A b5 bs s1. X HW“d 1“()() ()de trt tetdt=+ ()rt“dY ()et“d k “d LadL _HMa HM _ yTadyT _ a _ 2. L HM HW“df Y( ) ( )() 3 1 2kkhk k k=+ Y“dyTa _ 3. ()f t T | =) Z 7 T VV U ()12jntnnf tAe=i = _ _ nA =i_ ()f t9 VV U()01() cos2nnnaft A nt =+ 02a=_| _s nAinA n1“ _ 4. L| )(tf z 210Hz 5 )43( tf z _Hz ( 4)cos10003tf t z _Hz 5. L HM HWyT“d“df 213()32sHsss s+=+ +“d , YBT ()zirt=_“d $ ha a “4A b _“dMf ()Hj =_ 6. !23()252zFzzz=+ | ()fkH Z M5 (0)f = _ (1)f = _ ()f =_ S “ S “ |“d 3|) : :7. !()jH eV UBBB XY ro qY5( )0jHe=_()jHe=_ 8. |()x tK qs Hf Tsf “ q|“ HW ()x n E 5“ q _()x n | NSN DFT M()Xk5( )Xk k qs E| q _ 9. B HW“d“df .f :( )H z T1 p“d 5( )H z l c _ T1 p“d yT5()H z l c_ 10. :B L ()x n DTFT HW =MMT()jX e5()jX e L _ ( )jX eM _ 11. 3f E !9 ro KN3f _ K3f _3aq 3aq a3a X 3 b =a sXyTL HM HW“dsZ()() () ( ) ()31 121 2148 3yk yk yk ek ek+ + = + +b 1. “dZ m 2. p“df ()H z#f Y( )hk 3. () ()12kek k= p“d , Y( )zsyk 4. X“d Y()01y =,()12y =p“d , Y( )ziykb S “ S “ |“d 3|) : :a s m U ( ) 5et V= 71u 7 - X) 0t = H 71 Ku7 k p 1. 71u 7 - S (0 )Li S (0 )Cu 2. 0t H S r 3. ()et ()ut“dY p“df ( )H s 4. p“d , Y()ziut 5. p“d , Y()zsutb a s HW|( )1() sin 0.2x tA t= ( )2() sin 2.2x tA t= bC S X|“ 1()x k 2()x k bX |“W 1sTs= A K L b 1. 1()x k 2()x k m 2. 12() ()x kxk= 3. “ V I 12() ()x kxk= b a s B LK ( ) 2,3,4,3,2xn=b 1. p DFTM()Xk 2. p()DFT X k 3. p() ( )*15y nIDFTX k=( ) ( )2Imy nIDFTj Xk = ( )*5Xk V U ( )Xk p ( )Im X kV U()Xk 4. 7()6XkV U ()x n 6 DFTM p ( ) ( )2366ky nIDFTWXk = 5. ()x n =MT( )jX e q“ q 0, 2 / 3, 4 / 3 = ( )Yk( )Yk 3 IDFTM( )yn p( )ynb + +-K+-S “ S “ |“d 3|) : :Ba s XBLM FIR“d |“Y ( ) 4, 3, 2, 2,3, 4hn= b 1. p“d () ( ) ( )() 2 1 2xn n n n =+ ( )yn 2. p“d“df .f ()H z i )(zH l 3. p“d qY )(jeH i OsY p0()jHe= ()jHe = 4. p“d 41()j nx ne= ( )1ynb a s XByT HW LTI LM“d |“YBK L )10()( Nnnh “d qY )(jeH .f ()H z X“d ,121, 0.5zz j=b 1. p K()H z: , 2. p“d“df .f sZ 3. T )()1()(1nhnhn= , k p )(1jeH T )(jeH V U 4. T nnhnh2cos)()(2= , k p )(2jeH T )(jeH V U
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