# Introduction to Time - Varying Electrical Networks

- Institution: IIT Madras
- Department: Electrical Engineering
- Teacher: Prof. Shanthi Pavan
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/108106174)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/108106174)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Course Introduction and Motivation](https://invisiblenetwork.ai/learn/nptel/108106174/b0a4599445c4) (Video)
2. [Kirchoff's Current and Voltage Laws, and the Incidence Matrix](https://invisiblenetwork.ai/learn/nptel/108106174/df4590299704) (Video)
3. [Power Conservation and Tellegen's Theorem](https://invisiblenetwork.ai/learn/nptel/108106174/e991b63cec97) (Video)
4. [Intuition behind Tellegen's Theorem](https://invisiblenetwork.ai/learn/nptel/108106174/0da2c623cbc5) (Video)
5. [Tellegen's Theorem and reciprocity in linear resistive networks](https://invisiblenetwork.ai/learn/nptel/108106174/a33ad29011a0) (Video)
6. [Why is reciprocity useful in practice?](https://invisiblenetwork.ai/learn/nptel/108106174/ad8a78f615d9) (Video)
7. [Inter-reciprocity in linear time-invariant networks](https://invisiblenetwork.ai/learn/nptel/108106174/1b367aeb9fb8) (Video)
8. [Inter-reciprocity in linear time-invariant networks (contd)](https://invisiblenetwork.ai/learn/nptel/108106174/a003a3cde781) (Video)
9. [Inter-reciprocity in networks with ideal operational amplifiers](https://invisiblenetwork.ai/learn/nptel/108106174/339ea4b2bc8f) (Video)
10. [Review of Modified Nodal Analysis (MNA) of linear networks](https://invisiblenetwork.ai/learn/nptel/108106174/3ed59bc38c45) (Video)
11. [MNA stamps of controlled sources - the VCCS & VCVS](https://invisiblenetwork.ai/learn/nptel/108106174/c313e629831e) (Video)
12. [MNA stamps of controlled sources - the CCCS & CCVS](https://invisiblenetwork.ai/learn/nptel/108106174/0195e093cfcf) (Video)
13. [Inter-reciprocity in linear networks - using the MNA stamp approach](https://invisiblenetwork.ai/learn/nptel/108106174/a1d9acd9c239) (Video)
14. [The Adjoint Network](https://invisiblenetwork.ai/learn/nptel/108106174/54b375d7b3f4) (Video)
15. [MNA stamp of an ideal opamp](https://invisiblenetwork.ai/learn/nptel/108106174/1c73beb3affb) (Video)
16. [Properties of circuits with multiple ideal opamps](https://invisiblenetwork.ai/learn/nptel/108106174/b1daa4576626) (Video)
17. [Introduction to noise in electrical networks](https://invisiblenetwork.ai/learn/nptel/108106174/c69e74114fd9) (Video)
18. [Noise processed by a linear time-invariant system](https://invisiblenetwork.ai/learn/nptel/108106174/efcd9f8c120f) (Video)
19. [kT/C noise in a sample-and-hold circuit](https://invisiblenetwork.ai/learn/nptel/108106174/89e06a4495ba) (Video)
20. [Noise in RLC networks](https://invisiblenetwork.ai/learn/nptel/108106174/1d616b28f09d) (Video)
21. [Total integrated noise in RLC Networks](https://invisiblenetwork.ai/learn/nptel/108106174/7bd0e327ac02) (Video)
22. [Bode's Noise Theorem - Frequency domain](https://invisiblenetwork.ai/learn/nptel/108106174/e68e4aa4fe50) (Video)
23. [Input referred noise in electrical networks - part 1](https://invisiblenetwork.ai/learn/nptel/108106174/7547abb0c213) (Video)
24. [Input referred noise in electrical networks - part 2](https://invisiblenetwork.ai/learn/nptel/108106174/f352c3383083) (Video)
25. [Input referred noise and the noise factor](https://invisiblenetwork.ai/learn/nptel/108106174/341616cb7f14) (Video)
26. [Noise Factor Examples](https://invisiblenetwork.ai/learn/nptel/108106174/f9eb1b4e3932) (Video)
27. [Motivation to learn about time-varying circuits and systems : Part 1](https://invisiblenetwork.ai/learn/nptel/108106174/09edd71f1ced) (Video)
28. [Motivation to learn about time-varying circuits and systems : Part 2](https://invisiblenetwork.ai/learn/nptel/108106174/8c3f265dea18) (Video)
29. [Convolution integral for LTV systems](https://invisiblenetwork.ai/learn/nptel/108106174/01ec5ce55d50) (Video)
30. [Frequency response of an LTV system](https://invisiblenetwork.ai/learn/nptel/108106174/0f90e952892f) (Video)
31. [LTV system example : Time-varying RC filter](https://invisiblenetwork.ai/learn/nptel/108106174/fa0f9928c22b) (Video)
32. [Linear Periodically Time-Varying Systems (LPTV)](https://invisiblenetwork.ai/learn/nptel/108106174/07a71aaead2e) (Video)
33. [Response of an LPTV system to a complex exponential input](https://invisiblenetwork.ai/learn/nptel/108106174/540195fd4650) (Video)
34. [Harmonic Transfer Functions](https://invisiblenetwork.ai/learn/nptel/108106174/5c08c671992f) (Video)
35. [Zadeh expansion of an LPTV system](https://invisiblenetwork.ai/learn/nptel/108106174/d3fb092b48c8) (Video)
36. [MNA analysis of LPTV networks](https://invisiblenetwork.ai/learn/nptel/108106174/cceca5ad0f3b) (Video)
37. [MNA stamp of a periodically time varying conductance](https://invisiblenetwork.ai/learn/nptel/108106174/6556a1fd0716) (Video)
38. [MNA stamp of a capacitor and a voltage source in an LPTV network](https://invisiblenetwork.ai/learn/nptel/108106174/9aad1bf0f331) (Video)
39. [Analysis of an example LPTV network - part 1](https://invisiblenetwork.ai/learn/nptel/108106174/d9ebc9e3ae35) (Video)
40. [Analysis of an example LPTV network - part 2](https://invisiblenetwork.ai/learn/nptel/108106174/9ef10a9a51ed) (Video)
41. [LPTV network analysis, RC filter, time-varying](https://invisiblenetwork.ai/learn/nptel/108106174/14b4620111ef) (Video)
42. [Impedance and admittance in LTI and LPTV networks](https://invisiblenetwork.ai/learn/nptel/108106174/f1a4bac7e2a8) (Video)
43. [Thevenin and Norton's Theorems for LPTV networks](https://invisiblenetwork.ai/learn/nptel/108106174/9b62b48b45f5) (Video)
44. [The N-path principle](https://invisiblenetwork.ai/learn/nptel/108106174/d8dc9c15e06e) (Video)
45. [N-path example](https://invisiblenetwork.ai/learn/nptel/108106174/a1f83e1551fb) (Video)
46. [Time-domain intuition of the N-path principle](https://invisiblenetwork.ai/learn/nptel/108106174/5e24d27be139) (Video)
47. [N-path example: Time-Interleaved ADCs](https://invisiblenetwork.ai/learn/nptel/108106174/8a927d32d988) (Video)
48. [Dc-dc converter as an LPTV system](https://invisiblenetwork.ai/learn/nptel/108106174/016723b4bdf3) (Video)
49. [N-path principle: Multiphase dc-dc converter](https://invisiblenetwork.ai/learn/nptel/108106174/56761f4bc4e8) (Video)
50. [The N-path filter](https://invisiblenetwork.ai/learn/nptel/108106174/111b4350d1ab) (Video)
51. [Computing H_0(j2\pi f_s) for a 4-path filter](https://invisiblenetwork.ai/learn/nptel/108106174/2997c157abb7) (Video)
52. [Input impedance of the 4-path filter at f_s](https://invisiblenetwork.ai/learn/nptel/108106174/65a638792dbb) (Video)
53. [Computing H_0(j2\pi 2 f_s) for a 4-path filter](https://invisiblenetwork.ai/learn/nptel/108106174/06b47a5ac461) (Video)
54. [Determining H_0 for input frequency deviations from f_s](https://invisiblenetwork.ai/learn/nptel/108106174/2a04fe583611) (Video)
55. [Reciprocity and Inter-reciprocity in LPTV networks : Part 1](https://invisiblenetwork.ai/learn/nptel/108106174/a55fcf7f9286) (Video)
56. [Reciprocity and Inter-reciprocity in LPTV networks : Part 2, the transfer-function theorem](https://invisiblenetwork.ai/learn/nptel/108106174/0bd13987939b) (Video)
57. [Why is the transfer-function theorem important?](https://invisiblenetwork.ai/learn/nptel/108106174/5a2ee41bbfcd) (Video)
58. [The frequency-reversal theorem for inter-reciprocal (adjoint) LPTV networks : introduction](https://invisiblenetwork.ai/learn/nptel/108106174/ea74552e75e4) (Video)
59. [The frequency-reversal theorem for inter-reciprocal (adjoint) LPTV networks : derivation](https://invisiblenetwork.ai/learn/nptel/108106174/6f30c67bd9f9) (Video)
60. [Why is the frequency-reversal theorem important?](https://invisiblenetwork.ai/learn/nptel/108106174/f289de6e45eb) (Video)
61. [Inter-reciprocity in signal-flow graphs](https://invisiblenetwork.ai/learn/nptel/108106174/641167d56a2b) (Video)
62. [Applications of inter-reciprocity: analysis of chopped amplifiers](https://invisiblenetwork.ai/learn/nptel/108106174/842df8eb0d47) (Video)
63. [Applications of inter-reciprocity: analysis of chopped amplifiers (continued)](https://invisiblenetwork.ai/learn/nptel/108106174/a5294316bae7) (Video)
64. [Applications of inter-reciprocity: chopping with square-wave modulation](https://invisiblenetwork.ai/learn/nptel/108106174/7fa749a072bd) (Video)
65. [Applications of inter-reciprocity: the switched-RC network](https://invisiblenetwork.ai/learn/nptel/108106174/8ba879f1cd1b) (Video)
66. [Time-domain implications of inter-reciprocity and the adjoint network](https://invisiblenetwork.ai/learn/nptel/108106174/34b834ae3663) (Video)
67. [Time-domain implications of inter-reciprocity and the adjoint network : Example calculation](https://invisiblenetwork.ai/learn/nptel/108106174/eed186681b1e) (Video)
68. [LPTV networks with sampled outputs : Switched capacitor circuits](https://invisiblenetwork.ai/learn/nptel/108106174/22593d4849db) (Video)
69. [LPTV networks with sampled outputs : A continuous-time delta-sigma data converter](https://invisiblenetwork.ai/learn/nptel/108106174/3ac5029f5ff4) (Video)
70. [LPTV networks with sampled outputs : The equivalent LTI filter](https://invisiblenetwork.ai/learn/nptel/108106174/c5d6d69bcf27) (Video)
71. [Finding the equivalent LTI filter of a sampled LPTV system : example](https://invisiblenetwork.ai/learn/nptel/108106174/40f593b1b841) (Video)
72. [Equivalent LTI filter for a switched-RC network](https://invisiblenetwork.ai/learn/nptel/108106174/142033ec02c2) (Video)
73. [Finding the equivalent LTI filter of a sampled LPTV system : example of a continuous-time delta-sigma modulator](https://invisiblenetwork.ai/learn/nptel/108106174/643ab417491a) (Video)
74. [Finding the equivalent LTI filter of a sampled LPTV system with offset sampling](https://invisiblenetwork.ai/learn/nptel/108106174/a6620f3dd2f5) (Video)
75. [LPTV networks driven by modulated inputs](https://invisiblenetwork.ai/learn/nptel/108106174/737f897b5cec) (Video)
76. [Introduction to noise in LPTV Networks](https://invisiblenetwork.ai/learn/nptel/108106174/37375009e8c2) (Video)
77. [Noise in LPTV networks with sampled outputs](https://invisiblenetwork.ai/learn/nptel/108106174/63827ea68ff3) (Video)
78. [Total integrated noise in networks with R,L,C and periodically operated switches](https://invisiblenetwork.ai/learn/nptel/108106174/2030024c006d) (Video)
79. [Live Session 20-02-2021](https://invisiblenetwork.ai/learn/nptel/108106174/b0a4599445c4-2) (Video)