Introduction to Time–Varying Electrical Network II

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Introduction to Time-Varying Electrical Network II

The course is designed to give analog, mixed-signal, and RF circuit designers a moderate introduction to time-varying circuits and systems. There are only a few prerequisites. It introduces linear time-varying (LTV) and linear periodically time-varying (LPTV) circuits after a refresher and background on linear-time invariant networks. The theory’s applications are demonstrated using practical examples.

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Course Content

Convolution integral for LTV systems

  • Frequency response of an LTV system
    00:00
  • LTV system example : Time-varying RC filter
    00:00
  • Linear Periodically Time-Varying Systems (LPTV)
    00:00
  • Response of an LPTV system to a complex exponential input
    00:00
  • Harmonic Transfer Functions
    00:00
  • Zadeh expansion of an LPTV system
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  • MNA analysis of LPTV networks
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  • MNA stamp of a periodically time varying conductance
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  • MNA stamp of a capacitor and a voltage source in an LPTV network
    00:00
  • Analysis of an example LPTV network – part 1
    00:00
  • Analysis of an example LPTV network – part 2
    00:00
  • LPTV network analysis, RC filter, time-varying
    00:00
  • Impedance and admittance in LTI and LPTV networks
    00:00
  • Thevenin and Norton’s Theorems for LPTV networks
    00:00
  • The N-path principle
    00:00
  • N-path example
    00:00
  • Time-domain intuition of the N-path principle
    00:00
  • N-path example: Time-Interleaved ADCs
    00:00
  • Dc-dc converter as an LPTV system
    00:00
  • N-path principle: Multiphase dc-dc converter
    00:00
  • The N-path filter
    00:00
  • Computing H_0(j2\pi f_s) for a 4-path filter
    00:00
  • Input impedance of the 4-path filter at f_s
    00:00
  • Computing H_0(j2\pi 2 f_s) for a 4-path filter
    00:00
  • Determining H_0 for input frequency deviations from f_s
    00:00
  • Reciprocity and Inter-reciprocity in LPTV networks : Part 1
    00:00
  • Reciprocity and Inter-reciprocity in LPTV networks : Part 2, the transfer-function theorem
    00:00

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