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Course10810617479 lectures

Introduction to Time - Varying Electrical Networks

Prof. Shanthi Pavan · IIT Madras

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Course Introduction and Motivation Video
  2. Kirchoff's Current and Voltage Laws, and the Incidence Matrix Video
  3. Power Conservation and Tellegen's Theorem Video
  4. Intuition behind Tellegen's Theorem Video
  5. Tellegen's Theorem and reciprocity in linear resistive networks Video
  6. Why is reciprocity useful in practice? Video
  7. Inter-reciprocity in linear time-invariant networks Video

Week 2

  1. Inter-reciprocity in linear time-invariant networks (contd) Video
  2. Inter-reciprocity in networks with ideal operational amplifiers Video
  3. Review of Modified Nodal Analysis (MNA) of linear networks Video
  4. MNA stamps of controlled sources - the VCCS & VCVS Video
  5. MNA stamps of controlled sources - the CCCS & CCVS Video
  6. Inter-reciprocity in linear networks - using the MNA stamp approach Video

Week 3

  1. The Adjoint Network Video
  2. MNA stamp of an ideal opamp Video
  3. Properties of circuits with multiple ideal opamps Video
  4. Introduction to noise in electrical networks Video
  5. Noise processed by a linear time-invariant system Video
  6. kT/C noise in a sample-and-hold circuit Video
  7. Noise in RLC networks Video
  8. Total integrated noise in RLC Networks Video

Week 4

  1. Bode's Noise Theorem - Frequency domain Video
  2. Input referred noise in electrical networks - part 1 Video
  3. Input referred noise in electrical networks - part 2 Video
  4. Input referred noise and the noise factor Video
  5. Noise Factor Examples Video

Week 5

  1. Motivation to learn about time-varying circuits and systems : Part 1 Video
  2. Motivation to learn about time-varying circuits and systems : Part 2 Video
  3. Convolution integral for LTV systems Video
  4. Frequency response of an LTV system Video
  5. LTV system example : Time-varying RC filter Video
  6. Linear Periodically Time-Varying Systems (LPTV) Video
  7. Response of an LPTV system to a complex exponential input Video

Week 6

  1. Harmonic Transfer Functions Video
  2. Zadeh expansion of an LPTV system Video
  3. MNA analysis of LPTV networks Video
  4. MNA stamp of a periodically time varying conductance Video
  5. MNA stamp of a capacitor and a voltage source in an LPTV network Video
  6. Analysis of an example LPTV network - part 1 Video
  7. Analysis of an example LPTV network - part 2 Video
  8. LPTV network analysis, RC filter, time-varying Video

Week 7

  1. Impedance and admittance in LTI and LPTV networks Video
  2. Thevenin and Norton's Theorems for LPTV networks Video
  3. The N-path principle Video
  4. N-path example Video
  5. Time-domain intuition of the N-path principle Video
  6. N-path example: Time-Interleaved ADCs Video

Week 8

  1. Dc-dc converter as an LPTV system Video
  2. N-path principle: Multiphase dc-dc converter Video
  3. The N-path filter Video
  4. Computing H_0(j2\pi f_s) for a 4-path filter Video
  5. Input impedance of the 4-path filter at f_s Video
  6. Computing H_0(j2\pi 2 f_s) for a 4-path filter Video
  7. Determining H_0 for input frequency deviations from f_s Video

Week 9

  1. Reciprocity and Inter-reciprocity in LPTV networks : Part 1 Video
  2. Reciprocity and Inter-reciprocity in LPTV networks : Part 2, the transfer-function theorem Video
  3. Why is the transfer-function theorem important? Video
  4. The frequency-reversal theorem for inter-reciprocal (adjoint) LPTV networks : introduction Video
  5. The frequency-reversal theorem for inter-reciprocal (adjoint) LPTV networks : derivation Video
  6. Why is the frequency-reversal theorem important? Video

Week 10

  1. Inter-reciprocity in signal-flow graphs Video
  2. Applications of inter-reciprocity: analysis of chopped amplifiers Video
  3. Applications of inter-reciprocity: analysis of chopped amplifiers (continued) Video
  4. Applications of inter-reciprocity: chopping with square-wave modulation Video
  5. Applications of inter-reciprocity: the switched-RC network Video
  6. Time-domain implications of inter-reciprocity and the adjoint network Video

Week 11

  1. Time-domain implications of inter-reciprocity and the adjoint network : Example calculation Video
  2. LPTV networks with sampled outputs : Switched capacitor circuits Video
  3. LPTV networks with sampled outputs : A continuous-time delta-sigma data converter Video
  4. LPTV networks with sampled outputs : The equivalent LTI filter Video
  5. Finding the equivalent LTI filter of a sampled LPTV system : example Video
  6. Equivalent LTI filter for a switched-RC network Video
  7. Finding the equivalent LTI filter of a sampled LPTV system : example of a continuous-time delta-sigma modulator Video

Week 12

  1. Finding the equivalent LTI filter of a sampled LPTV system with offset sampling Video
  2. LPTV networks driven by modulated inputs Video
  3. Introduction to noise in LPTV Networks Video
  4. Noise in LPTV networks with sampled outputs Video
  5. Total integrated noise in networks with R,L,C and periodically operated switches Video

Live Session

  1. Live Session 20-02-2021 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Madras
Department
Electrical Engineering
Teacher
Prof. Shanthi Pavan
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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