# Principles of Signal Estimation for MIMO/ OFDM Wireless Communication

- Institution: IIT Kanpur
- Department: Electronics & Communication Engineering
- Teacher: Prof. Aditya K. Jagannatham
- Level: Undergraduate
- Language: English
- Subjects: Engineering, Society and politics
- Source: [NPTEL](https://nptel.ac.in/courses/117104118)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/117104118)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lec 01- Basics–Sensor Network and Noisy Observation Model](https://invisiblenetwork.ai/learn/nptel/117104118/d9250abcc33f) (Video)
2. [Lec 02 - Likelihood Function and Maximum Likelihood (ML) Estimate](https://invisiblenetwork.ai/learn/nptel/117104118/e4d081439978) (Video)
3. [Lec 03- Properties of Maximum Likelihood (ML) Estimate – Mean and Unbiasedness](https://invisiblenetwork.ai/learn/nptel/117104118/24166717d135) (Video)
4. [Lec 04- Properties of Maximum Likelihood (ML) Estimate – Variance and Spread Around Mean](https://invisiblenetwork.ai/learn/nptel/117104118/e13b10801367) (Video)
5. [Lec 05- Reliability of the Maximum Likelihood (ML) Estimate – Number of Samples Required](https://invisiblenetwork.ai/learn/nptel/117104118/41000d4eaf3e) (Video)
6. [Lec 06- Estimation of Complex Parameters - Symmetric Zero Mean Complex Gaussian Noise](https://invisiblenetwork.ai/learn/nptel/117104118/e8678f43a926) (Video)
7. [Lec 07- Wireless Fading Channel Estimation – Pilot Symbols and Likelihood Function](https://invisiblenetwork.ai/learn/nptel/117104118/50bfc012e19a) (Video)
8. [Lec 08- Wireless Fading Channel Estimation – Pilot/Training based Maximum Likelihood (ML) Estimate](https://invisiblenetwork.ai/learn/nptel/117104118/41098392d3a1) (Video)
9. [Lec 09- Wireless Fading Channel Estimation – Mean and Variance of Pilot / Training Based Maximum Likellihood (ML) Estimate](https://invisiblenetwork.ai/learn/nptel/117104118/033bb74a209b) (Video)
10. [Lec 10- Example – Wireless Fading Channel Estimation for Downlink Mobile Communication](https://invisiblenetwork.ai/learn/nptel/117104118/2c2f02a1702a) (Video)
11. [Lec 11-Cramer Rao Bound (CRB) for Parameter Estimation](https://invisiblenetwork.ai/learn/nptel/117104118/da7aabc8a6af) (Video)
12. [Lec 12- Cramer Rao Bound (CRB) Example – Wireless Sensor Network](https://invisiblenetwork.ai/learn/nptel/117104118/6d8c80d51f7e) (Video)
13. [Lec 13- Vector Parameter Estimation – System Model for Multi Antenna Downlink Channel Estimation](https://invisiblenetwork.ai/learn/nptel/117104118/7b51ed40d05d) (Video)
14. [Lec 14- Likelihood Function and Least Squares Cost Function for Vector Parameter Estimation](https://invisiblenetwork.ai/learn/nptel/117104118/c26b97888341) (Video)
15. [Lec 15-Least Squares Cost Function for Vector Parameter Estimation Vector Derivative/ Gradient](https://invisiblenetwork.ai/learn/nptel/117104118/50b101673ac3) (Video)
16. [Lec 16- Least Squares Solution, Maximum Likelihood (ML) Estimate, Pseudo-Inverse](https://invisiblenetwork.ai/learn/nptel/117104118/a3f8ec2290b1) (Video)
17. [Lec 17-Properties of Least Squares Estimate – Mean Covariance and Distribution](https://invisiblenetwork.ai/learn/nptel/117104118/abac8d55f5b2) (Video)
18. [Lec 18-Least Squares Multi-Antenna Downlink Maximum Likelihood Channel Estimation](https://invisiblenetwork.ai/learn/nptel/117104118/e75a6668f40c) (Video)
19. [Lec 19 - Multiple-Input Multiple-Output(MIMO) Channel Estimation – Least Squares Maximum Likelihood (ML) Estimate](https://invisiblenetwork.ai/learn/nptel/117104118/d06640db910c) (Video)
20. [Lec 20 - Example - Least Squares Multiple Input Multiple Output (MIMO) Channel Estimation](https://invisiblenetwork.ai/learn/nptel/117104118/acb3317b4bc7) (Video)
21. [Lec 21- Channel Equalization and Inter Symbol Interference (ISI) Model](https://invisiblenetwork.ai/learn/nptel/117104118/77a861dfac5a) (Video)
22. [Lec 22- Least Squares based Zero Forcing Channel Equalizer](https://invisiblenetwork.ai/learn/nptel/117104118/7df7141ed543) (Video)
23. [Lec 23: Example of ISI Channel and Least Squares Based Zero Forcing Channel Equalizer](https://invisiblenetwork.ai/learn/nptel/117104118/1c0fdc03b9fb) (Video)
24. [Lec 24- Equalization and Approximation Error for Zero Forcing Channel Equalizer](https://invisiblenetwork.ai/learn/nptel/117104118/9761db413219) (Video)
25. [Lec 25-Example:Equalization and Approximation Error for Zero Forcing Channel Equalizer](https://invisiblenetwork.ai/learn/nptel/117104118/fd73a1764dbf) (Video)
26. [Lec 26-Introduction to Orthogonal Frequency Division Multiplexing OFDM – Cyclic Prefix (CP) and Circular Convolution](https://invisiblenetwork.ai/learn/nptel/117104118/7247bf87b096) (Video)
27. [Lec 27-Introduction to Orthogonal Frequency Division Multiplexing OFDM – FFT at Receiver and Flat Fading Across Each Subcarrier](https://invisiblenetwork.ai/learn/nptel/117104118/465584b63cbb) (Video)
28. [Lec 28- Channel Estimation Across Each Subcarrier in Orthogonal Frequency Division Multiplexing (OFDM)](https://invisiblenetwork.ai/learn/nptel/117104118/34216f6c1d1b) (Video)
29. [Lec 29- Example Orthogonal Frequency Division Multiplexing (OFDM) – Transmission of Samples with Cyclic Prefix (CP)](https://invisiblenetwork.ai/learn/nptel/117104118/65b995b9b380) (Video)
30. [Lec 30- Example Orthogonal Frequency Division Multiplexing (OFDM) – FFT at Receiver and Channel Estimation Across Subcarriers](https://invisiblenetwork.ai/learn/nptel/117104118/ae6282c81f94) (Video)
31. [Lec 31-Comb Type Pilot (CTP) Based Orthogonal Frequency Division Multiplexing (OFDM) Channel Estimation-Block Structure](https://invisiblenetwork.ai/learn/nptel/117104118/80e2c818fc81) (Video)
32. [Lec 32- Comb Type Pilot (CTP) Based Orthogonal Frequency Division Multiplexing (OFDM) Channel Estimation- Estimation Scheme](https://invisiblenetwork.ai/learn/nptel/117104118/217dd940d84d) (Video)
33. [Lec 33-Example Comb Type Pilot (CTP) Based Orthogonal Frequency Division Multiplexing (OFDM) Channel Estimation](https://invisiblenetwork.ai/learn/nptel/117104118/07748f799973) (Video)
34. [Lec 34- Frequency Domain Equalization (FDE) for Inter Symbol Interference (ISI) Removal in Wireless Systems](https://invisiblenetwork.ai/learn/nptel/117104118/5a1f338bee4b) (Video)
35. [Lec 35- Example Frequency Domain Equalization (FDE) for Inter Symbol Interference (ISI) Removal in Wireless Systems-Transmission Structure](https://invisiblenetwork.ai/learn/nptel/117104118/8212b530b228) (Video)
36. [Lec 36- Example Frequency Domain Equalization FDE for Inter Symbol Interference ISI Removal in Wireless Channels](https://invisiblenetwork.ai/learn/nptel/117104118/31762af1701c) (Video)
37. [Lec 37-Introduction to Sequential Estimation – Application in Wireless Channel Estimation](https://invisiblenetwork.ai/learn/nptel/117104118/27667189f4cb) (Video)
38. [Lec 38- Sequential Estimation of Wireless Channel Coefficient – Estimate and Variance Update Equations](https://invisiblenetwork.ai/learn/nptel/117104118/f52b157c605e) (Video)
39. [Lec 39- Example- Sequential Estimation of Wireless Channel Coefficient](https://invisiblenetwork.ai/learn/nptel/117104118/90fb36c42bba) (Video)
40. [Lec 40- Basics – Introduction to Bayesian Minimum Mean Squared Error (MMSE) Estimation](https://invisiblenetwork.ai/learn/nptel/117104118/eeb67ef7f910) (Video)
41. [Lec 41- Optimal Bayesian Minimum Mean Squared Error (MMSE) Estimate](https://invisiblenetwork.ai/learn/nptel/117104118/3b4fe0a54952) (Video)
42. [Lec 42- Derivation of Minimum Mean Squared Error (MMSE) Estimate for Gaussian Parameter – Part I](https://invisiblenetwork.ai/learn/nptel/117104118/311f83a2e534) (Video)
43. [Lec 43- Derivation of Minimum Mean Squared Error (MMSE) Estimate for Gaussian Parameter – Part II](https://invisiblenetwork.ai/learn/nptel/117104118/b4879cd5833f) (Video)
44. [Lec 44- Derivation of Minimum Mean Squared Error (MMSE) Estimate for Gaussian Parameter- Non-Zero Mean and Vector Parameter/Observation](https://invisiblenetwork.ai/learn/nptel/117104118/340e4abf0084) (Video)
45. [Lec 45- Minimum Mean Squared Error (MMSE) Estimation Application – Wireless Sensor Network](https://invisiblenetwork.ai/learn/nptel/117104118/0cc186b25f05) (Video)
46. [Lec 46- Simplification and Example of Minimum Mean Squared Error MMSE Estimate for Wireless Sensor Network](https://invisiblenetwork.ai/learn/nptel/117104118/c34a80ecdf0e) (Video)
47. [Lec 47-Minimum Mean Squared Error (MMSE) Estimation Application – Wireless Fading Channel Estimation](https://invisiblenetwork.ai/learn/nptel/117104118/cc1c8aa703ba) (Video)
48. [Lec 48- Simplification and Example of Minimum Mean Squared Error (MMSE) Estimate for Wireless Fading Channel](https://invisiblenetwork.ai/learn/nptel/117104118/649ae721cfdd) (Video)
49. [Lec 49- Minimum Mean Squared Error (MMSE) for Wireless Sensor Network (WSN) – Derivation and Example](https://invisiblenetwork.ai/learn/nptel/117104118/6af9789fd27c) (Video)
50. [Lec 50- Reliability of Minimum Mean Squared Error (MMSE) Estimate-Part I](https://invisiblenetwork.ai/learn/nptel/117104118/008b602f1e35) (Video)
51. [Lec 51-Reliability of Minimum Mean Squared Error (MMSE) Estimate – Part II](https://invisiblenetwork.ai/learn/nptel/117104118/b49c5d313443) (Video)
52. [Lec 52-Minimum Mean Squared Error MMSE for Wireless Fading Channel Estimation – Derivation](https://invisiblenetwork.ai/learn/nptel/117104118/206096b4495f) (Video)
53. [Lec 53- Minimum Mean Squared Error (MMSE) for Wireless Fading Channel Estimation-Example and Properties of Complex Channel Coefficient Estimate](https://invisiblenetwork.ai/learn/nptel/117104118/804e8f510c71) (Video)
54. [Lec 54- Linear Minimum Mean Squared Error (LMMSE) Estimate Derivation – Part I](https://invisiblenetwork.ai/learn/nptel/117104118/61698fee8dbd) (Video)
55. [Lec 55-Linear Minimum Mean Squared Error (LMMSE) Estimate Derivation – Part II](https://invisiblenetwork.ai/learn/nptel/117104118/c00f901834bf) (Video)
56. [Lec 56-Vector Parameter Estimation-System Model for Multi-Antenna Downlink Channel estimation](https://invisiblenetwork.ai/learn/nptel/117104118/0391923756d8) (Video)
57. [Lec 57-Linear Minimum Mean Squared Error (LMMSE) Estimate for Multi Antenna Downlink Wireless Channel Estimation- Part I](https://invisiblenetwork.ai/learn/nptel/117104118/db1fe53bcab5) (Video)
58. [Lec 58- Linear Minimum Mean Squared Error (LMMSE) Estimate for Multi Antenna Downlink Wireless Channel Estimation - Part II](https://invisiblenetwork.ai/learn/nptel/117104118/e5b33b6b231e) (Video)
59. [Lec 59- Example of Linear Minimum Mean Squared Error (LMMSE) Estimation for Multi Antenna Downlink Wireless Channel](https://invisiblenetwork.ai/learn/nptel/117104118/1712f59b515a) (Video)
60. [Lec 60- Derivation and Example of Error Covariance of Multi Antenna (LMMSE) Channel Estimation](https://invisiblenetwork.ai/learn/nptel/117104118/42139416fd4a) (Video)
61. [Lec 61- System Model for Multiple Input Multiple Output (MIMO) Downlink Wireless Channel Estimation](https://invisiblenetwork.ai/learn/nptel/117104118/2686efa6a428) (Video)
62. [Lec 62- Channel/ Noise Statistics for MIMO Downlink Wireless Channel Estimation](https://invisiblenetwork.ai/learn/nptel/117104118/28a565b8ee41) (Video)
63. [Lec 63- LMMSE/ MMSE Estimation for MIMO Downlink Wireless Channel Estimation](https://invisiblenetwork.ai/learn/nptel/117104118/615a716e75e8) (Video)
64. [Lec 64- Example of LMMSE/ MMSE Estimation for MIMO Downlink Wireless Channel Estimation](https://invisiblenetwork.ai/learn/nptel/117104118/a0b40d609c24) (Video)
65. [Lec 65- Introduction and system model for equalization](https://invisiblenetwork.ai/learn/nptel/117104118/6e697b5b0820) (Video)
66. [Lec 66- Linear Minimum Mean Square Error (LMMSE) Channel Equalization](https://invisiblenetwork.ai/learn/nptel/117104118/fc12377bb2e9) (Video)
67. [Lec 67- Error for (LMMSE )Channel Equalizer and Example of(LMMSE) Channel Equalization](https://invisiblenetwork.ai/learn/nptel/117104118/97b24f77a134) (Video)
68. [Lec 68- Example of Linear Minimum Mean Square Error (LMMSE) Channel Equalization](https://invisiblenetwork.ai/learn/nptel/117104118/2b1622f6d933) (Video)
69. [Lec 69- Introduction and system model for OFDM](https://invisiblenetwork.ai/learn/nptel/117104118/338a7d25b9aa) (Video)
70. [Lec 70- Introduction to Orthogonal Frequency Division Multiplexing(OFDM)- FFT at Receiver and Flat Fading Across Each Subcarrier](https://invisiblenetwork.ai/learn/nptel/117104118/0291a09db456) (Video)
71. [Lec 71- LMMSE Estimation for OFDM Channel Coefficient Across Each Subcarrier- Part-I](https://invisiblenetwork.ai/learn/nptel/117104118/24f5646c6834) (Video)
72. [Lec 72 - LMMSE Estimate of the OFDM Channel Coefficient Across Each Subcarrier-Part-II](https://invisiblenetwork.ai/learn/nptel/117104118/773fb96461b2) (Video)
73. [Lec 73- Example Orthogonal Frequency Division Multiplexing(OFDM) Transmission Of Samples with Cyclic Prefix(CP) Part-I](https://invisiblenetwork.ai/learn/nptel/117104118/84f45af8c310) (Video)
74. [Lec 74-Example Orthogonal Frequency Division Multiplexing(OFDM) -LMMSE Estimation of Channel Coefficients and resulting MSE -Part- II](https://invisiblenetwork.ai/learn/nptel/117104118/3d6b5afde8e4) (Video)