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