Learn · Applied Time-Series Analysis

Lecture 72 of 120Week 7: Fourier Transforms, DFT and Periodogram

Lecture 32B: Spectral Representations of Random Processes -2

Prof. Arun K Tangirala · IIT Madras

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Applied Time-Series Analysis, IIT Madras (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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All the lectures

  1. Lecture 01A: Motivation and Overview-1 Video
  2. Lecture 01B: Motivation and Overview-2 Video
  3. Lecture 02A: Motivation and Overview-3 Video
  4. Lecture 02B: Motivation and Overview-4 Video
  5. Lecture 03A: Motivation and Overview-5 Video
  6. Lecture 03B: Motivation and Overview-6 Video
  7. Lecture 04A: Probability and Statistics Review (Part 1)-1 Video
  8. Lecture 04B: Probability and Statistics Review (Part 1)-2 Video
  9. Lecture 05A: Probability and Statistics Review (Part 1)-3 Video
  10. Lecture 05B: Probability and Statistics Review (Part 1)-4 Video
  11. Lecture 06A: Probability and Statistics Review (Part 2)-1 Video
  12. Lecture 06B: Probability and Statistics Review (Part 2)-2 Video
  13. Lecture 06C: Probability and Statistics Review (Part 2)-3 Video
  14. Lecture 07A: Probability and Statistics Review (Part 2)-4 Video
  15. Lecture 07B: Probability and Statistics Review (Part 2)-5 Video
  16. Lecture 07C: Probability and Statistics Review (Part 2)-6 Video
  17. Lecture 08A: Probability and Statistics Review (Part 2)-7 Video
  18. Lecture 08B: Probability and Statistics Review (Part 2)-8 Video
  19. Lecture 09A: Probability and Statistics Review (Part 2)-9 Video
  20. Lecture 09B: Probability and Statistics Review (Part 2)-10 Video
  21. Lecture 09C: Introduction to Random Processes-1 Video
  22. Lecture 10A: Introduction to Random Processes-2 Video
  23. Lecture 10B: Introduction to Random Processes-3 Video
  24. Lecture 11A: Introduction to Random Processes-4 Video
  25. Lecture 11B: Introduction to Random Processes-5 Video
  26. Lecture 11C: Autocovariance & Autocorrelation Functions-1 Video
  27. Lecture 12A: Autocovariance & Autocorrelation Functions-2 Video
  28. Lecture 12B: Autocovariance & Autocorrelation Functions-3 Video
  29. Lecture 13A: Autocovariance & Autocorrelation Functions-4 Video
  30. Lecture 13B: Autocovariance & Autocorrelation Functions-5 Video
  31. Lecture 13C: Autocovariance & Autocorrelation Functions-6 Video
  32. Lecture 14A: Autocovariance & Autocorrelation Functions-7 Video
  33. Lecture 14B: Autocovariance & Autocorrelation Functions-8 Video
  34. Lecture 15A: Autocovariance & Autocorrelation Functions-9 Video
  35. Lecture 15B: Partial Autocorrelation Functions Video
  36. Lecture 16A: Autocorrelation and Partial autocorrelation Functions with R Demonstration Video
  37. Lecture 16B: Models for Linear Stationary Processes-1 Video
  38. Lecture 17A: Models for Linear Stationary Processes-2 Video
  39. Lecture 17B: Models for Linear Stationary Processes-3 Video
  40. Lecture 18A: Models for Linear Stationary Processes-4 Video
  41. Lecture 18B: Models for Linear Stationary Processes-5 Video
  42. Lecture 18C: Models for Linear Stationary Processes-6 Video
  43. Lecture 19A: Models for Linear Stationary Processes-7 Video
  44. Lecture 19B: Models for Linear Stationary Processes-8 Video
  45. Lecture 19C: Models for Linear Stationary Processes-9 Video
  46. Lecture 20A: Models for Linear Stationary Processes -10 Video
  47. Lecture 20B: Models for Linear Stationary Processes -11 Video
  48. Lecture 21A: Models for Linear Stationary Processes -12 Video
  49. Lecture 21B: Models for Linear Stationary Processes -13 Video
  50. Lecture 22A: Models for Linear Stationary Processes -14 (with R Demonstrations) Video
  51. Lecture 22B: Models for Linear Stationary Processes -15 (with R Demonstrations) Video
  52. Lecture 22C: Models for Linear Stationary Processes -16 ( with R Demonstrations) Video
  53. Lecture 23A: Models for Linear Non stationary Processes -1 Video
  54. Lecture 23B: Models for Linear Non stationary Processes -2 (with R Demonstrations) Video
  55. Lecture 24A: Models for Linear Non stationary Processes -3 (with R Demonstrations) Video
  56. Lecture 24B: Models for Linear Non stationary Processes -4 Video
  57. Lecture 25A: Models for Linear Non stationary Processes -5 Video
  58. Lecture 25B: Models for Linear Non stationary Processes -6 (with R Demonstrations) Video
  59. Lecture 26A: Fourier Transforms for Deterministic Signals -1 Video
  60. Lecture 26B: Fourier Transforms for Deterministic Signals -2 Video
  61. Lecture 27A: Fourier Transforms for Deterministic Signals -3 Video
  62. Lecture 27B: Fourier Transforms for Deterministic Signals -4 Video
  63. Lecture 28A: Fourier Transforms for Deterministic Signals -5 Video
  64. Lecture 28B: Fourier Transforms for Deterministic Signals -6 Video
  65. Lecture 29A: Fourier Transforms for Deterministic Signals -7 Video
  66. Lecture 29B: Fourier Transforms for Deterministic Signals -8 Video
  67. Lecture 30A: Fourier Transforms for Deterministic Signals -9 Video
  68. Lecture 30B: DFT and Periodogram -1 Video
  69. Lecture 31A: DFT and Periodogram -2 Video
  70. Lecture 31B: DFT and Periodogram -3 (with R Demonstrations) Video
  71. Lecture 32A: Spectral Representations of Random Processes -1 Video
  72. Lecture 32B: Spectral Representations of Random Processes -2 Video
  73. Lecture 33A: Spectral Representations of Random Processes -3 Video
  74. Lecture 33B: Spectral Representations of Random Processes -4 Video
  75. Lecture 33C: Spectral Representations of Random Processes -5 Video
  76. Lecture 34A: Spectral Representations of Random Processes -6 Video
  77. Lecture 34B: Spectral Representations of Random Processes -7 Video
  78. Lecture 35A: Introduction to Estimation Theory -1 Video
  79. Lecture 35B: Introduction to Estimation Theory -2 Video
  80. Lecture 35C: Introduction to Estimation Theory -3 Video
  81. Lecture 36A: Introduction to Estimation Theory 4 Video
  82. Lecture 36B: Goodness of Estimators 1 -1 Video
  83. Lecture 37A: Goodness of Estimators 1 -2 Video
  84. Lecture 37B: Goodness of Estimators 1 -3 Video
  85. Lecture 37C: Goodness of Estimators 1 -4 Video
  86. Lecture 38A: Goodness of Estimators 2 -1 Video
  87. Lecture 38B: Goodness of Estimators 2 -2 Video
  88. Lecture 38C: Goodness of Estimators 2 -3 Video
  89. Lecture 39A: Goodness of Estimators 2 -4 Video
  90. Lecture 39B: Goodness of Estimators 2 -5 with R demonstrations Video
  91. Lecture 39C: Goodness of Estimators 2 -6 Video
  92. Lecture 40A: Goodness of Estimators 2 -7 Video
  93. Lecture 40B: Goodness of Estimators 2 -8 Video
  94. Lecture 41A: Estimation Methods 1 -1 Video
  95. Lecture 41B : Estimation Methods 1 -2 Video
  96. Lecture 42A: Estimation Methods 1 -3 Video
  97. Lecture 42B: Estimation Methods 1 -4 Video
  98. Lecture 42C: Estimation Methods 1 -5 Video
  99. Lecture 43A: Estimation Methods 1 -6 with R demonstrations Video
  100. Lecture 43B: Estimation Methods 1 -7 with R demonstrations Video
  101. Lecture 44A: Estimation Methods 1 -8 Video
  102. Lecture 44B: Estimation Methods 1 -9 Video
  103. Lecture 44C: Estimation Methods 2 -1 Video
  104. Lecture 45A: Estimation Methods 2 -2 Video
  105. Lecture 45B: Estimation Methods 2 -3 Video
  106. Lecture 46A: MLE and Bayesian Estimation -1 Video
  107. Lecture 46B: MLE and Bayesian Estimation -2 Video
  108. Lecture 47A: MLE and Bayesian Estimation -3 Video
  109. Lecture 47B: MLE and Bayesian Estimation -4 Video
  110. Lecture 48A: Estimation of Time Domain Statistics -1 Video
  111. Lecture 48B: Estimation of Time Domain Statistics -2 Video
  112. Lecture 49: Periodogram as PSD Estimator Video
  113. Lecture 50A: Estimation of Power Spectral Density -1 Video
  114. Lecture 50B: Estimation of Power Spectral Density -2 Video
  115. Lecture 50C: Estimation of Power Spectral Density -3 Video
  116. Lecture 50D: Estimation of Time Series Models -1 Video
  117. Lecture 50E: Estimation of Time Series Models -2 Video
  118. Live Session 20-02-2021 Video
  119. Live Session 31-03-2021 Video
  120. Live Session 21-04-2022 Video