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ECE 3323 Principles of Communication Systems

ECE 3323 Principles of Communication Systems. Section 3.3 Fourier Transform Pairs. 1. Fourier Transform of a Constant. Fourier Transform of a Constant. Fourier Transform of a Constant. 2. Fourier Transform of a Unit Impulse. Fourier Transform of a Unit Impulse.

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ECE 3323 Principles of Communication Systems

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  1. ECE 3323Principles of Communication Systems Section 3.3 Fourier Transform Pairs

  2. 1. Fourier Transform of a Constant

  3. Fourier Transform of a Constant

  4. Fourier Transform of a Constant

  5. 2. Fourier Transform of a Unit Impulse

  6. Fourier Transform of a Unit Impulse

  7. Fourier Transform of a Unit Impulse

  8. 1 . . . . . . 0 -5 -4 -3 -2 -1 0 1 2 3 4 5 t 3. Fourier Transform of The Sampling Function

  9. Fourier Transform of The Sampling Function

  10. Fourier Transform of The Sampling Function

  11. Fourier Transform of The Sampling Function

  12. 1 . . . . . . 0 -5 -4 -3 -2 -1 0 1 2 3 4 5 t 1 . . . . . . 0 -5 -4 -3 -2 -1 0 1 2 3 4 5 f Fourier Transform of The Sampling Function

  13. 1 . . . . . . -3 T -2 T -1 T 0 T 2 T 3 T t s s s s s s Fourier Transform of The Sampling Function

  14. Fourier Transform of The Sampling Function

  15. Fourier Transform of The Sampling Function

  16. Fourier Transform of The Sampling Function 16

  17. Fourier Transform of The Sampling Function 17

  18. 1 . . . . . . -3 T -2 T -1 T 0 T 2 T 3 T t s s s s s s f s . . . . . . f -3 f -2 f -1 f 0 f 2 f 3 f s s s s s s Fourier Transform of The Sampling Function

  19. 4. Fourier Transform of rect(t)

  20. Fourier Transform of rect(t)

  21. Fourier Transform of rect(t)

  22. Fourier Transform of rect(t)

  23. Fourier Transform of rect(t)

  24. 5. Fourier Transform of tri(t)

  25. Fourier Transform of tri(t)

  26. Fourier Transform of tri(t)

  27. Fourier Transform of tri(t)

  28. Fourier Transform of tri(t)

  29. Fourier Transform of tri(t)

  30. Fourier Transform of tri(t)

  31. Fourier Transform of tri(t)

  32. Fourier Transform of tri(t)

  33. Fourier Transform of tri(t)

  34. 6. Fourier Transform of exp(– t)u(t)

  35. Fourier Transform of exp(– t)u(t)

  36. Fourier Transform of exp(– t)u(t)

  37. Fourier Transform of exp(– t)u(t)

  38. Fourier Transform of exp(– t)u(t)

  39. 7. Fourier Transform of exp( j2π f0 t)

  40. Fourier Transform of exp( j2π f0 t)

  41. Fourier Transform of exp( j2π f0 t)

  42. Fourier Transform of exp( j2π f0 t)

  43. Fourier Transform of exp( j2π f0 t)

  44. Fourier Transform of exp( j2π f0 t)

  45. Fourier Transform of exp( j2π f0 t)

  46. 8. Fourier Transform of cos(2π f0 t)

  47. Fourier Transform of cos(2π f0 t)

  48. Fourier Transform of cos(2π f0 t)

  49. Fourier Transform of cos(2π f0 t)

  50. Fourier Transform of cos(2π f0 t)

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