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Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Course Overview

The Introduction to Time-Varying Electrical Networks program introduces students to reciprocity in networks, circuits, and time-variance systems. It focuses on different time-varying networks such as linear and periodically varying networks. This introductory course is a Faculty Development Program (FDP) approved by the AICTE.

The Introduction to Time-Varying Electrical Networks certification syllabus is spread across 12 weeks of coursework, replete with assignments, illustrations, practical examples, and video lectures. The curriculum further elucidates Modified Nodal Analysis (MNA), Bode’s noise theory, harmonic transfer functions, and RLC circuits.

Set at a postgraduate level, the Introduction to Time-Varying Electrical Networks online course is developed by IIT Madras. It is recommended that students have an undergraduate-level of understanding of electric network analysis, signals, and systems before joining this course.

Moreover, the Introduction to Time-Varying Electrical Networks program provides an NPTEL verifiable e-certificate to the course learners on satisfactory completion. They can display the e-certificate on various social networks and attract lucrative work opportunities.

The Highlights

IIT Madras Offerings
Free learning
Final proctored examination
E-certificate
Online training
Elective course
12-weeks program
Postgraduate-level course

Programme Offerings

assignments
E-certificate
Elective curriculum
12-week program
online learning
Ongoing course
Final proctored exam
video lectures
Postgraduate level training

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 1000	yes	IIT Madras

Candidates can enroll in the Introduction to Time-Varying Electrical Networks online course for free. However, they must pay an examination fee of Rs 1000 and sit for the proctored test in-person to receive the course certificate.

Introduction to Time-Varying Electrical Networks fee structure

Course Option	Fee
Course materials	Free
Course content access + Certificate	Rs 1,000

Eligibility Criteria

Students joining the Introduction to Time-Varying Electrical Networks online course must understand the basics of systems, signals, engineering mathematics, and electric network analysis at the undergraduate level.

Moreover, candidates must submit all the 12 assignments and take the certification exam to be eligible for the Introduction to Time-Varying Electrical Networks certification.

A candidate’s eligibility for the e-certificate will be decided based on the average assignment and end-term test scores. 75% of the exam score (out of 100) will be considered for the final evaluation, and 25% of the average assignment score (best eight assignment scores) will be used to calculate the final score. The total becomes 75 + 25 = 100.

Students must score the following to secure the certificate: Average assignment score >/= 10/25 and average exam score >/= 30/75.

What you will learn

Knowledge of electronics

On completing the Introduction to Time-Varying Electrical Networks training, candidates will learn:

Analog circuits
Mixed-signal systems
Linear time-varying (LTV) circuits
Linear periodically time-varying (LPTV) circuits
Modified Nodal Analysis (MNA)
N-path principles
time-interleaved ADC

Who it is for

The Introduction to Time-Varying Electrical Networks online course is intended for the following individuals:

M.S/PhD/M.Tech students
Advanced undergraduates

Admission Details

Step 1. Use the direct link and view the Introduction to Time-Varying Networks program offerings: Introduction to Time-Varying Electrical Networks - Course (nptel.ac.in).

Step 2. Select the ‘Sign in/Register’ option.

Step 3. Fill in the fields required to create a new learning account or link a Facebook/Google/Microsoft ID.

Step 4. Log in to your new SWAYAM profile and commence learning.

Application Details

Candidates should either register or log in to their SWAYAM accounts to join the Introduction to Time-Varying Electrical Network certification course. They must furnish a username, password, and email address in the form to complete enrolment.

The Syllabus

The motivation for the topics covered in the course, review of linearity and time-variance
Review of electrical network basics, incidence matrix, Tellegen's theorem
Tellegen's theorem (contd), its use to prove reciprocity in bilateral networks, reciprocity in networks with controlled sources

Reciprocity in networks with controlled sources (contd), inter-reciprocal networks
Modified Nodal Analysis (MNA) formulation to write network equations
MNA formulation (contd), MNA stamps of circuit elements, Reciprocity, and inter-reciprocity revisited

Reciprocity and inter-reciprocity (contd), the adjoint network.
Introduction to noise in electronic circuits
Noise in RLC circuits, Nyquist's theorem, Bode's Noise Theorem

Bode's noise theorem (contd), input-referred noise sources in networks
Input-referred noise sources (contd) - equivalent noise voltage and current sources
Equivalent noise sources, noise factor

Need to study time-varying circuits and systems
Linear time-varying (LTV) system basics
Linear Periodically Time-Varying (LPTV) systems basics

Harmonic transfer functions, the Zadeh expansion
MNA equations in LPTV networks with Harmonic transfer matrices
LPTV circuit example: the sampling mixer

Impedance and admittance in LPTV networks, Norton and Thevenin equivalents;
The N-path principle; N-path circuits (contd) - the time-interleaved ADC

N-path circuits (contd) - the multiphase dc-dc converter, introduction to the N-path filter; N-path filters (contd) - input impedance and gain
N-path filters (contd)

Reciprocity and inter-reciprocity in LPTV networks - time-reversal to generate the adjoint
Inter-reciprocity (contd), transfer-function theorem
Inter-reciprocity (contd), the frequency-reversal theorem

Inter-reciprocal signal-flow graphs. Example: chopped amplifiers
Chopped-amplifiers with sinusoidal and square-wave modulation
Adjoint networks - the switched-RC kernel example; time-domain implications of adjoint networks

Time-domain implications of the adjoint - example of a switched-RC network. Sampled LPTV networks
Equivalent LTI filter of a sampled LPTV system; derivation of the equivalent impulse response, switched-RC network example
Cont. time delta-sigma as a sampled LPTV system

The response of LPTV systems to modulated inputs; equivalent LTI filter
Introduction to noise in LPTV networks, noise in switched-RLC networks, the Bode noise theorem applied to LPTV networks
Course summary and recap

Evaluation process

Candidates need to register for an end-term proctored exam by paying the necessary fee. The test will be conducted at selected test centers and invigilated. Apart from the exam, students must complete the course and submit all the assignments to be eligible for the Introduction to Time-Varying Electrical Networks certification.