PowerPoint 簡報 (Lab531, 55:31)
- 04:001. (P.11 of 3.0)
- 00:422. Fourier Transform
- 00:133. (P.11 of 3.0)
- 00:404. Fourier Transform
- 00:035. Slide 4
- 00:046. Slide 5
- 00:027. See Fig. 3.6, 3.7, p.193, 195, Fig, 4.2, p.286 of text
- 00:078. Considering x(t), x(t)=0 for | t | > T1construct
- 00:029. Considering x(t), x(t)=0 for | t | > T1Fourier series for Defining envelope of Tak as X(jω)
- 00:0310. Considering x(t), x(t)=0 for | t | > T1
- 01:1611. spectrum, frequency domainFourier Transform
- 00:0212. Considering x(t), x(t)=0 for | t | > T1
- 00:0513. Considering x(t), x(t)=0 for | t | > T1Fourier series for Defining envelope of Tak as X(jω)
- 00:0114. Considering x(t), x(t)=0 for | t | > T1
- 01:0815. spectrum, frequency domainFourier Transform
- 00:3816. Convergence IssuesGiven x(t)
- 00:2817. Convergence IssuesIt can be shown
- 00:0218. Convergence IssuesDirichlet’s conditions
- 00:0619. Convergence IssuesIt can be shown
- 00:0620. Convergence IssuesDirichlet’s conditions
- 00:2421. Convergence IssuesIt can be shown
- 00:2422. Convergence IssuesDirichlet’s conditions
- 00:5823. Examples
- 00:3624. Examples
- 04:0925. Fourier Transform for Periodic Signals – Unified FrameworkGiven x(t)
- 06:4426. Unified Framework: Fourier Transform for Periodic Signals
- 02:4527. Examples
- 00:4528. 4.2 Properties of Continuous-time Fourier Transform
- 00:2829. Linearity
- 00:0630. 4.2 Properties of Continuous-time Fourier Transform
- 00:0431. Linearity
- 00:0732. 4.2 Properties of Continuous-time Fourier Transform
- 00:0233. Linearity
- 00:2834. Time Shift
- 02:5035. Time Shift
- 00:0436. Time Shift
- 00:0137. Time Shift
- 00:0338. Time Shift
- 00:0639. Time Shift
- 00:2540. Time Shift
- 00:0141. Time Shift
- 01:2342. Time Shift
- 00:0143. Time Shift
- 00:1144. Time Shift
- 00:0145. Linearity
- 00:0146. 4.2 Properties of Continuous-time Fourier Transform
- 00:2047. Examples
- 00:0148. 4.2 Properties of Continuous-time Fourier Transform
- 00:0149. Linearity
- 00:0250. Time Shift
- 00:0251. Time Shift
- 00:0252. Time Shift
- 00:0653. (P.18 of 4.0)
- 01:1554. cos 𝜔 0 𝑡 𝐹 𝜋 𝛿 𝜔− 𝜔 0 +𝛿 𝜔+ 𝜔 0 , 1 2 [ 𝑒 𝑗 𝜔 0 𝑡 + 𝑒 −𝑗 𝜔 0 𝑡 ] sin 𝜔 0 𝑡 𝐹 𝜋 𝑗 𝛿 𝜔− 𝜔 0 −𝛿 𝜔+ 𝜔 0 , 1 2𝑗 [ 𝑒 𝑗 𝜔 0 𝑡 − 𝑒 −𝑗 𝜔 0 𝑡 ]
- 00:0155. (P.18 of 4.0)
- 00:0256. Time Shift
- 00:0257. Time Shift
- 00:0758. Time Shift
- 00:0159. Time Shift
- 00:0160. Time Shift
- 00:0161. (P.18 of 4.0)
- 00:2262. cos 𝜔 0 𝑡 𝐹 𝜋 𝛿 𝜔− 𝜔 0 +𝛿 𝜔+ 𝜔 0 , 1 2 [ 𝑒 𝑗 𝜔 0 𝑡 + 𝑒 −𝑗 𝜔 0 𝑡 ] sin 𝜔 0 𝑡 𝐹 𝜋 𝑗 𝛿 𝜔− 𝜔 0 −𝛿 𝜔+ 𝜔 0 , 1 2𝑗 [ 𝑒 𝑗 𝜔 0 𝑡 − 𝑒 −𝑗 𝜔 0 𝑡 ]
- 00:1563. (P.18 of 4.0)
- 00:3464. cos 𝜔 0 𝑡 𝐹 𝜋 𝛿 𝜔− 𝜔 0 +𝛿 𝜔+ 𝜔 0 , 1 2 [ 𝑒 𝑗 𝜔 0 𝑡 + 𝑒 −𝑗 𝜔 0 𝑡 ] sin 𝜔 0 𝑡 𝐹 𝜋 𝑗 𝛿 𝜔− 𝜔 0 −𝛿 𝜔+ 𝜔 0 , 1 2𝑗 [ 𝑒 𝑗 𝜔 0 𝑡 − 𝑒 −𝑗 𝜔 0 𝑡 ]
- 00:1065. (P.18 of 4.0)
- 00:1166. cos 𝜔 0 𝑡 𝐹 𝜋 𝛿 𝜔− 𝜔 0 +𝛿 𝜔+ 𝜔 0 , 1 2 [ 𝑒 𝑗 𝜔 0 𝑡 + 𝑒 −𝑗 𝜔 0 𝑡 ] sin 𝜔 0 𝑡 𝐹 𝜋 𝑗 𝛿 𝜔− 𝜔 0 −𝛿 𝜔+ 𝜔 0 , 1 2𝑗 [ 𝑒 𝑗 𝜔 0 𝑡 − 𝑒 −𝑗 𝜔 0 𝑡 ]
- 00:4667. Conjugation
- 00:1868. (P.32 of 3.0)
- 00:0769. Conjugation
- 01:2170. (P.32 of 3.0)
- 00:0371. Conjugation
- 00:1272. (P.32 of 3.0)
- 01:0473. Conjugation
- 00:0174. (P.32 of 3.0)
- 02:1675. Conjugation
- 00:0276. (P.32 of 3.0)
- 00:0177. Conjugation
- 10:2778. 𝑅𝑒 ⋅ or ⋅
- 00:2579. Time Reversal
- 00:5480. (P.29 of 3.0)
- 00:0281. x(t) both real and even
- 00:0182. (P.29 of 3.0)
- 00:4583. Time Reversal
- 00:0184. (P.29 of 3.0)
- 00:5385. x(t) both real and even
- 1. (P.11 of 3.0)
- 2. Fourier Transform
- 3. (P.11 of 3.0)
- 4. Fourier Transform
- 5. Slide 4
- 6. Slide 5
- 7. See Fig. 3.6, 3.7, p.193, 195, Fig, 4.2, p.286 of text
- 8. Considering x(t), x(t)=0 for | t | > T1construct
- 9. Considering x(t), x(t)=0 for | t | > T1Fourier series for Defining envelope of Tak as X(jω)
- 10. Considering x(t), x(t)=0 for | t | > T1
- 11. spectrum, frequency domainFourier Transform
- 12. Considering x(t), x(t)=0 for | t | > T1
- 13. Considering x(t), x(t)=0 for | t | > T1Fourier series for Defining envelope of Tak as X(jω)
- 14. Considering x(t), x(t)=0 for | t | > T1
- 15. spectrum, frequency domainFourier Transform
- 16. Convergence IssuesGiven x(t)
- 17. Convergence IssuesIt can be shown
- 18. Convergence IssuesDirichlet’s conditions
- 19. Convergence IssuesIt can be shown
- 20. Convergence IssuesDirichlet’s conditions
- 21. Convergence IssuesIt can be shown
- 22. Convergence IssuesDirichlet’s conditions
- 23. Examples
- 24. Examples
- 25. Fourier Transform for Periodic Signals – Unified FrameworkGiven x(t)
- 26. Unified Framework: Fourier Transform for Periodic Signals
- 27. Examples
- 28. 4.2 Properties of Continuous-time Fourier Transform
- 29. Linearity
- 30. 4.2 Properties of Continuous-time Fourier Transform
- 31. Linearity
- 32. 4.2 Properties of Continuous-time Fourier Transform
- 33. Linearity
- 34. Time Shift
- 35. Time Shift
- 36. Time Shift
- 37. Time Shift
- 38. Time Shift
- 39. Time Shift
- 40. Time Shift
- 41. Time Shift
- 42. Time Shift
- 43. Time Shift
- 44. Time Shift
- 45. Linearity
- 46. 4.2 Properties of Continuous-time Fourier Transform
- 47. Examples
- 48. 4.2 Properties of Continuous-time Fourier Transform
- 49. Linearity
- 50. Time Shift
- 51. Time Shift
- 52. Time Shift
- 53. (P.18 of 4.0)
- 54. cos 𝜔 0 𝑡 𝐹 𝜋 𝛿 𝜔− 𝜔 0 +𝛿 𝜔+ 𝜔 0 , 1 2 [ 𝑒 𝑗 𝜔 0 𝑡 + 𝑒 −𝑗 𝜔 0 𝑡 ] sin 𝜔 0 𝑡 𝐹 𝜋 𝑗 𝛿 𝜔− 𝜔 0 −𝛿 𝜔+ 𝜔 0 , 1 2𝑗 [ 𝑒 𝑗 𝜔 0 𝑡 − 𝑒 −𝑗 𝜔 0 𝑡 ]
- 55. (P.18 of 4.0)
- 56. Time Shift
- 57. Time Shift
- 58. Time Shift
- 59. Time Shift
- 60. Time Shift
- 61. (P.18 of 4.0)
- 62. cos 𝜔 0 𝑡 𝐹 𝜋 𝛿 𝜔− 𝜔 0 +𝛿 𝜔+ 𝜔 0 , 1 2 [ 𝑒 𝑗 𝜔 0 𝑡 + 𝑒 −𝑗 𝜔 0 𝑡 ] sin 𝜔 0 𝑡 𝐹 𝜋 𝑗 𝛿 𝜔− 𝜔 0 −𝛿 𝜔+ 𝜔 0 , 1 2𝑗 [ 𝑒 𝑗 𝜔 0 𝑡 − 𝑒 −𝑗 𝜔 0 𝑡 ]
- 63. (P.18 of 4.0)
- 64. cos 𝜔 0 𝑡 𝐹 𝜋 𝛿 𝜔− 𝜔 0 +𝛿 𝜔+ 𝜔 0 , 1 2 [ 𝑒 𝑗 𝜔 0 𝑡 + 𝑒 −𝑗 𝜔 0 𝑡 ] sin 𝜔 0 𝑡 𝐹 𝜋 𝑗 𝛿 𝜔− 𝜔 0 −𝛿 𝜔+ 𝜔 0 , 1 2𝑗 [ 𝑒 𝑗 𝜔 0 𝑡 − 𝑒 −𝑗 𝜔 0 𝑡 ]
- 65. (P.18 of 4.0)
- 66. cos 𝜔 0 𝑡 𝐹 𝜋 𝛿 𝜔− 𝜔 0 +𝛿 𝜔+ 𝜔 0 , 1 2 [ 𝑒 𝑗 𝜔 0 𝑡 + 𝑒 −𝑗 𝜔 0 𝑡 ] sin 𝜔 0 𝑡 𝐹 𝜋 𝑗 𝛿 𝜔− 𝜔 0 −𝛿 𝜔+ 𝜔 0 , 1 2𝑗 [ 𝑒 𝑗 𝜔 0 𝑡 − 𝑒 −𝑗 𝜔 0 𝑡 ]
- 67. Conjugation
- 68. (P.32 of 3.0)
- 69. Conjugation
- 70. (P.32 of 3.0)
- 71. Conjugation
- 72. (P.32 of 3.0)
- 73. Conjugation
- 74. (P.32 of 3.0)
- 75. Conjugation
- 76. (P.32 of 3.0)
- 77. Conjugation
- 78. 𝑅𝑒 ⋅ or ⋅
- 79. Time Reversal
- 80. (P.29 of 3.0)
- 81. x(t) both real and even
- 82. (P.29 of 3.0)
- 83. Time Reversal
- 84. (P.29 of 3.0)
- 85. x(t) both real and even
0/85
00:00/55:31