Learn · Principles of Communication Systems - I

Lecture 69 of 75Week 11 - Transformation of Random Variables, Gaussian Random Variable ,Special Case: IID Gaussian Random Variables,…

Random Processes and Wide Sense Stationarity (WSS)

Prof. Aditya Jagannatham · IIT Kanpur

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Principles of Communication Systems - I, IIT Kanpur (at NPTEL)
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All the lectures

  1. Lec 01 | Principles of Communication Systems-I | Basics | IIT KANPUR Video
  2. Lec 02|Principles of Communication Systems-I I Frequency Domain Representation | IIT KANPUR Video
  3. Lec 03| Principles of Communication Systems-I | Discrete Fourier Series Example | IIT KANPUR Video
  4. Lec 04 | Principles of Communication Systems-I| Fourier and Inverse Fourier Transform | IIT Kanpur Video
  5. Lec 05|Principles of Communication Systems-I | |Modulation Property of Fourier Transform| IIT KANPUR Video
  6. Lec 06|Principles of Communication Systems-I |Duality Property of Fourier Transform | IIT KANPUR Video
  7. Lec 07|Principles of Communication Systems-I |Transmission of Signal through (LTI) | IIT KANPUR Video
  8. Lec 08|Principles of Communication Systems-I |Auto-Correlation of Signal | IIIT KANPUR Video
  9. Lec 09 | Principles of Communication Systems-I | Example of auto-correlation of signal | IIT KANPUR Video
  10. Lec 10 | Principles of Communication Systems-I |Introduction to Amplitude Modulation| IIT KANPUR Video
  11. Lec 11 | Principles of Communication Systems-I | Spectrum of AM Signals| IIT KANPUR Video
  12. Lec 12 | Principles of Communication | Envelope Detection for AM Signals | IIT Kanpur Video
  13. Lec 13 | Principles of Communication Systems-I | Power of Amplitude Modulated Signals | IIT KANPUR Video
  14. Lec 14 | Principles of Communication Systems-I | DSB-SC Modulation | IIT KANPUR Video
  15. Lec 15 | Principles of Communication Systems-I | DSB-SC demodulation | IIT KANPUR Video
  16. Lec 16| Principles of Communication Systems-I |Carrier Phase Offset for (DSBSC) | IIT KANPUR Video
  17. Lec 17| Principles of Communication Systems-I |Phase Synchronization(Costas Receiver)| IIT KANPUR Video
  18. Lec 18| Principles of Communication Systems-I |Introduction to (QCM) | IIT KANPUR Video
  19. Lec 19| Principles of Communication Systems-I |Introduction to SSB Modulation | IIT KANPUR Video
  20. Lec 20| Principles of Communication Systems-I | Generation of (SSB) Modulated Signals| IIT KANPUR Video
  21. Lec 21| Principles of Communication Systems-I |Frequency Domain of Hilbert Transform| IIT KANPUR Video
  22. Lec 22| Principles of Communication Systems-I |Time Domain of Hilbert Transform | IIT KANPUR Video
  23. Lec 23| Principles of Communication Systems-I | Phase Shifting Method for (SSB)| IIT KANPUR Video
  24. Lec 24| Principles of Communication Systems-I | Complex Pre-Envelope of Passband Signals| IIT KANPUR Video
  25. Lec 25 | Principles of Communication Systems-I | Complex Pre- Envelope of QCM Signals | IIT KANPUR Video
  26. Lec 26 | Principles of Communication Systems-I | Introduction to (VSB) Modulation | IIT KANPUR Video
  27. Lec 27 | Principles of Communication Systems-I | Vestigial Side Band Filter| IIT KANPUR Video
  28. Lec 28 | Principles of Communication Systems-I | Introduction to Angle Modulation | IIT KANPUR Video
  29. Lec 29 | Principles of Communication Systems-I | FM with Sinusoidal Modulation Signal| IIT KANPUR Video
  30. Lec 30 | Principles of Communication Systems-I |Generation of Narrowband FM signal| IIT KANPUR Video
  31. Lec 31 | Principles of Communication Systems-I | Indirect Method for Generation of Wb FM| IIT KANPUR Video
  32. Lec 32 | Principles of Communication Systems-I |Spectrum of FM Signals| IIT KANPUR Video
  33. Lec 33 | Principles of Communication Systems-I |Bandwidth of FM Carson's Rule| IIT KANPUR Video
  34. Lec 34 | Principles of Communication Systems-I |Demodulation of FM Signals| IIT KANPUR Video
  35. Lec 35 | Principles of Communication Systems-I |Analog to Digital Conversion of signals| IIT KANPUR Video
  36. Lec 36 | Principles of Communication Systems-I |Sampling, Aliasing, Nyquist Theorem| IIT KANPUR Video
  37. Lec 37 | Principles of Communication Systems-I | Ideal Impulse Train Sampling| IIT KANPUR Video
  38. Lec 38 | Principles of Communication Systems-I | Introduction to (PAM)| IIT KANPUR Video
  39. Lec 39 | Principles of Communication Systems-I | Pulse Amplitude Modulation (PAM) | IIT KANPUR Video
  40. Lec 40 | Principles of Communication Systems-I |Quantization and Quantizer| IIT KANPUR Video
  41. Lec 41 | Principles of Communication Systems-I | Quantization, Mid- Rise Quantizer| IIT KANPUR Video
  42. Lec 42 | Principles of Communication Systems-I |Lloyd- Max Quantization Algorithm| IIT KANPUR Video
  43. Lec 43 | Principles of Communication Systems-I |Optimal Lloyd- Max quantizer design| IIT KANPUR Video
  44. Lec 44 | Principles of Communication Systems-I |Companding, Mu-law, A- Law| IIT KANPUR Video
  45. Lec 45 | Principles of Communication Systems-I |Delta Modulation, One-bit Quantizer| IIT KANPUR Video
  46. Lec 46 | Principles of Communication Systems-I |Reconstruction in Delta Modulation| IIT KANPUR Video
  47. Lec 47 | Principles of Communication Systems-I |DPCM, DPCM Signal Reconstruction|KANPUR Video
  48. Lec 48 | Principles of Communication Systems-I|Heterodyne and Super Heterodyne Receivers| IIT KANPUR Video
  49. Lec 49 | Principles of Communication Systems-I |Frequency Translation| IIT KANPUR Video
  50. Lec 50 | Principles of Communication Systems-I |FDM and Carrier Spacing in FDM| IIT KANPUR Video
  51. Lec 51 | Principles of Communication Systems-I |TDM,Sample Spacing in TDM| IIT KANPUR Video
  52. Lec 52 | Principles of Communication Systems-I | Bandwidth Requirements of TDM | IIT KANPUR Video
  53. Basics - Sample Space and Events Video
  54. Axioms of Probability Video
  55. Conditional Probability - Mary-PAM Example Video
  56. Independent Events - Mary-PAM Example Video
  57. Independent Events - Block Transmission Example Video
  58. Independent Events - Multiantenna Fading Example Video
  59. Bayes Theorem and Aposteriori Probabilities Video
  60. Maximum Aposteriori Probability (MAP) Receiver Video
  61. Random Variables, Probability Density Function (PDF) Video
  62. Application: Power of Fading Wireless Channel Video
  63. Mean, Variance of Random Variables Video
  64. Application: Average Delay and RMS Delay Spread of Wireless Channel Video
  65. Transformation of Random Variables and Rayleigh Fading Wireless Channel Video
  66. Gaussian Random Variable and Linear Transformation Video
  67. Special Case: IID Gaussian Random Variables Video
  68. Application: Array Processing and Array Gain with Uniform Linear Arrays Video
  69. Random Processes and Wide Sense Stationarity (WSS) Video
  70. WSS Example Narrowband Wireless Signal with Random Phase Video
  71. Power Spectral Density (PSD) for WSS Random Process Video
  72. PSD Application in Wireless Bandwidth Required for Signal Transmission Video
  73. Transmission of WSS Random Process Through LTI System Video
  74. Special Random Processes Gaussian Process and White Noise AWGN Communication Channel Video
  75. Gaussian Process Through LTI System Example: WGN Through RC Low Pass Fillter Not Started Video