# Introduction to Time-Frequency Analysis and Wavelet Transforms

- Institution: IIT Madras
- Department: Chemical Engineering
- Teacher: Prof. Arun Tangirala
- Level: Undergraduate
- Language: English
- Subjects: Chemistry, Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/103106114)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/103106114)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 1.1 A (Introduction Part IA)](https://invisiblenetwork.ai/learn/nptel/103106114/9ebbcf9d108c) (Video)
2. [Lecture 1.1 B (Introduction Part IB)](https://invisiblenetwork.ai/learn/nptel/103106114/d9924e6e11cb) (Video)
3. [Lecture 1.2 A (Introduction Part IIA)](https://invisiblenetwork.ai/learn/nptel/103106114/3650fab4f1ab) (Video)
4. [Lecture 1.2 B (Introduction Part IIB)](https://invisiblenetwork.ai/learn/nptel/103106114/2f7f19f7af72) (Video)
5. [Lecture 2.1 (Basic Definitions and concepts part I)](https://invisiblenetwork.ai/learn/nptel/103106114/451267d648fb) (Video)
6. [Lecture 2.2 (Basic Definitions and concepts part II)](https://invisiblenetwork.ai/learn/nptel/103106114/c7f822d23fbd) (Video)
7. [Lecture 2.3 (Basic Definitions and concepts part III)](https://invisiblenetwork.ai/learn/nptel/103106114/c6de9dde0ee8) (Video)
8. [Lecture 3.1 (Continuous time Fourier series)](https://invisiblenetwork.ai/learn/nptel/103106114/84efbb0bc97d) (Video)
9. [Lecture 3.2 (Continuous time Fourier transform)](https://invisiblenetwork.ai/learn/nptel/103106114/70b8910248fb) (Video)
10. [Lecture 3.3 (Discrete time Fourier series)](https://invisiblenetwork.ai/learn/nptel/103106114/c37f54dd36ed) (Video)
11. [Lecture 3.4 (Discrete time Fourier transform)](https://invisiblenetwork.ai/learn/nptel/103106114/048e9267d586) (Video)
12. [Lecture 3.5 (Properties of Fourier transforms)](https://invisiblenetwork.ai/learn/nptel/103106114/3271f4623a7c) (Video)
13. [Lecture 3.6 (Discrete Fourier transform)](https://invisiblenetwork.ai/learn/nptel/103106114/fac9993ff595) (Video)
14. [MATLAB demo of Fourier transform and periodogram](https://invisiblenetwork.ai/learn/nptel/103106114/591608e2d1c6) (Video)
15. [Duration and Bandwidth](https://invisiblenetwork.ai/learn/nptel/103106114/985ba568cd9c) (Video)
16. [Bandwidth equation and Instantaneous frequency](https://invisiblenetwork.ai/learn/nptel/103106114/5adc9fb188a0) (Video)
17. [Instantaneous frequency and analytic signals](https://invisiblenetwork.ai/learn/nptel/103106114/5750cedb91a5) (Video)
18. [Duration-Bandwidth principle](https://invisiblenetwork.ai/learn/nptel/103106114/4c44a689fc21) (Video)
19. [Requirements of time-frequency anlysis techniques](https://invisiblenetwork.ai/learn/nptel/103106114/50b5eea74661) (Video)
20. [Requirements of time-frequency analysis and techniques](https://invisiblenetwork.ai/learn/nptel/103106114/9f6683ceb188) (Video)
21. [Short-time Fourier transform](https://invisiblenetwork.ai/learn/nptel/103106114/dc7e7e05d5b2) (Video)
22. [Auxillary (MATLAB demonstration)](https://invisiblenetwork.ai/learn/nptel/103106114/9378c1e8d9a3) (Video)
23. [Properties of STFT](https://invisiblenetwork.ai/learn/nptel/103106114/57cadc31d7ee) (Video)
24. [Practical aspects of STFT](https://invisiblenetwork.ai/learn/nptel/103106114/753fb89a6c2e) (Video)
25. [Closing Remarks](https://invisiblenetwork.ai/learn/nptel/103106114/b80a1ba1be6f) (Video)
26. [Wigner-Ville Distributions](https://invisiblenetwork.ai/learn/nptel/103106114/69ee6e647c15) (Video)
27. [Properties of WVD](https://invisiblenetwork.ai/learn/nptel/103106114/89d6cdc40cd1) (Video)
28. [Properties of WVD 2](https://invisiblenetwork.ai/learn/nptel/103106114/5614098c749a) (Video)
29. [Discrete WVD](https://invisiblenetwork.ai/learn/nptel/103106114/ae2aae9e8719) (Video)
30. [Pseudo and Smoothed WVD](https://invisiblenetwork.ai/learn/nptel/103106114/6d856fdf889c) (Video)
31. [Cohens class and smoothed WVD](https://invisiblenetwork.ai/learn/nptel/103106114/6ac7e0b723b9) (Video)
32. [Cohens class and smoothed WVD](https://invisiblenetwork.ai/learn/nptel/103106114/3220e72eea27) (Video)
33. [Cohens class and Ambiguity functions](https://invisiblenetwork.ai/learn/nptel/103106114/8387a1c79360) (Video)
34. [Affine class and closing remarks](https://invisiblenetwork.ai/learn/nptel/103106114/454cff3b21cb) (Video)
35. [Continuous Wavelet Transform](https://invisiblenetwork.ai/learn/nptel/103106114/91661253ba7d) (Video)
36. [Continuous Wavelet Transforms](https://invisiblenetwork.ai/learn/nptel/103106114/a965efbda951) (Video)
37. [Scale to Frequency](https://invisiblenetwork.ai/learn/nptel/103106114/8128e559697e) (Video)
38. [Computational aspects of CWT](https://invisiblenetwork.ai/learn/nptel/103106114/111f0720b31b) (Video)
39. [Scalogram and MATLAB demonstration](https://invisiblenetwork.ai/learn/nptel/103106114/9c7159dad005) (Video)
40. [Scalogram and MATLAB demonstration.](https://invisiblenetwork.ai/learn/nptel/103106114/8270c53ef398) (Video)
41. [Scaling function](https://invisiblenetwork.ai/learn/nptel/103106114/1de9e3edd77e) (Video)
42. [Scaling Function.](https://invisiblenetwork.ai/learn/nptel/103106114/4f53fc9facb6) (Video)
43. [Wavelets](https://invisiblenetwork.ai/learn/nptel/103106114/6512f01ecf4c) (Video)
44. [Wavelets.](https://invisiblenetwork.ai/learn/nptel/103106114/fbdc0ec840c1) (Video)
45. [Applications of CWT](https://invisiblenetwork.ai/learn/nptel/103106114/b8b74c61322a) (Video)
46. [Applications of CWT.](https://invisiblenetwork.ai/learn/nptel/103106114/cc9920d913c5) (Video)
47. [Discrete Wavelet Transform](https://invisiblenetwork.ai/learn/nptel/103106114/d5be2bd46728) (Video)
48. [Discrete Wavelet Transform.](https://invisiblenetwork.ai/learn/nptel/103106114/60200b8efe63) (Video)
49. [Orthogonal scaling function bases and MRA](https://invisiblenetwork.ai/learn/nptel/103106114/55fbd649de57) (Video)
50. [Orthogonal scaling function bases and MRA.](https://invisiblenetwork.ai/learn/nptel/103106114/130579ba48a8) (Video)
51. [Wavelet Filters and Fast DWT Algorithm](https://invisiblenetwork.ai/learn/nptel/103106114/355be4f66ecb) (Video)
52. [Wavelet Filters and Fast DWT Algorithm.](https://invisiblenetwork.ai/learn/nptel/103106114/573d10e420a4) (Video)
53. [Wavelet Filters and Fast DWT Algorithm..](https://invisiblenetwork.ai/learn/nptel/103106114/183c3a72e283) (Video)
54. [Wavelets for DWT](https://invisiblenetwork.ai/learn/nptel/103106114/c53362a3722d) (Video)
55. [Wavelets for DWT.](https://invisiblenetwork.ai/learn/nptel/103106114/42fc859dd2a8) (Video)
56. [Wavelets for DWT..](https://invisiblenetwork.ai/learn/nptel/103106114/680c4240344d) (Video)
57. [DWT computation](https://invisiblenetwork.ai/learn/nptel/103106114/e625c8f7a1bb) (Video)
58. [DWT computation.](https://invisiblenetwork.ai/learn/nptel/103106114/8a88cd66ba38) (Video)
59. [DWT computation..](https://invisiblenetwork.ai/learn/nptel/103106114/a7eff4c708fe) (Video)