Learn · Introduction to Time - Varying Electrical Networks
Lecture 43 of 79Week 7
Thevenin and Norton's Theorems for LPTV networks
Prof. Shanthi Pavan · IIT Madras
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- Introduction to Time - Varying Electrical Networks, IIT Madras (at NPTEL)
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All the lectures
- Course Introduction and Motivation
- Kirchoff's Current and Voltage Laws, and the Incidence Matrix
- Power Conservation and Tellegen's Theorem
- Intuition behind Tellegen's Theorem
- Tellegen's Theorem and reciprocity in linear resistive networks
- Why is reciprocity useful in practice?
- Inter-reciprocity in linear time-invariant networks
- Inter-reciprocity in linear time-invariant networks (contd)
- Inter-reciprocity in networks with ideal operational amplifiers
- Review of Modified Nodal Analysis (MNA) of linear networks
- MNA stamps of controlled sources - the VCCS & VCVS
- MNA stamps of controlled sources - the CCCS & CCVS
- Inter-reciprocity in linear networks - using the MNA stamp approach
- The Adjoint Network
- MNA stamp of an ideal opamp
- Properties of circuits with multiple ideal opamps
- Introduction to noise in electrical networks
- Noise processed by a linear time-invariant system
- kT/C noise in a sample-and-hold circuit
- Noise in RLC networks
- Total integrated noise in RLC Networks
- Bode's Noise Theorem - Frequency domain
- Input referred noise in electrical networks - part 1
- Input referred noise in electrical networks - part 2
- Input referred noise and the noise factor
- Noise Factor Examples
- Motivation to learn about time-varying circuits and systems : Part 1
- Motivation to learn about time-varying circuits and systems : Part 2
- Convolution integral for LTV systems
- Frequency response of an LTV system
- LTV system example : Time-varying RC filter
- Linear Periodically Time-Varying Systems (LPTV)
- Response of an LPTV system to a complex exponential input
- Harmonic Transfer Functions
- Zadeh expansion of an LPTV system
- MNA analysis of LPTV networks
- MNA stamp of a periodically time varying conductance
- MNA stamp of a capacitor and a voltage source in an LPTV network
- Analysis of an example LPTV network - part 1
- Analysis of an example LPTV network - part 2
- LPTV network analysis, RC filter, time-varying
- Impedance and admittance in LTI and LPTV networks
- Thevenin and Norton's Theorems for LPTV networks
- The N-path principle
- N-path example
- Time-domain intuition of the N-path principle
- N-path example: Time-Interleaved ADCs
- Dc-dc converter as an LPTV system
- N-path principle: Multiphase dc-dc converter
- The N-path filter
- Computing H_0(j2\pi f_s) for a 4-path filter
- Input impedance of the 4-path filter at f_s
- Computing H_0(j2\pi 2 f_s) for a 4-path filter
- Determining H_0 for input frequency deviations from f_s
- Reciprocity and Inter-reciprocity in LPTV networks : Part 1
- Reciprocity and Inter-reciprocity in LPTV networks : Part 2, the transfer-function theorem
- Why is the transfer-function theorem important?
- The frequency-reversal theorem for inter-reciprocal (adjoint) LPTV networks : introduction
- The frequency-reversal theorem for inter-reciprocal (adjoint) LPTV networks : derivation
- Why is the frequency-reversal theorem important?
- Inter-reciprocity in signal-flow graphs
- Applications of inter-reciprocity: analysis of chopped amplifiers
- Applications of inter-reciprocity: analysis of chopped amplifiers (continued)
- Applications of inter-reciprocity: chopping with square-wave modulation
- Applications of inter-reciprocity: the switched-RC network
- Time-domain implications of inter-reciprocity and the adjoint network
- Time-domain implications of inter-reciprocity and the adjoint network : Example calculation
- LPTV networks with sampled outputs : Switched capacitor circuits
- LPTV networks with sampled outputs : A continuous-time delta-sigma data converter
- LPTV networks with sampled outputs : The equivalent LTI filter
- Finding the equivalent LTI filter of a sampled LPTV system : example
- Equivalent LTI filter for a switched-RC network
- Finding the equivalent LTI filter of a sampled LPTV system : example of a continuous-time delta-sigma modulator
- Finding the equivalent LTI filter of a sampled LPTV system with offset sampling
- LPTV networks driven by modulated inputs
- Introduction to noise in LPTV Networks
- Noise in LPTV networks with sampled outputs
- Total integrated noise in networks with R,L,C and periodically operated switches
- Live Session 20-02-2021