Signals and Systems, Part 2

Programme Overview

We encounter signals and systems extensively in our day-to-day lives, from making a phone call, listening to a song, editing photos, manipulating audio files, using speech recognition softwares like Siri and Google now, to taking EEGs, ECGs and X-Ray images. Each of these involves gathering, storing, transmitting, and processing information from the physical world. This course will equip you to deal with these tasks efficiently by learning the basic mathematical framework of signals and systems.

This course is divided into two parts. In the first part (EE210.1x), we explored the various properties of signals and systems, characterization of Linear Shift Invariant Systems, convolution and Fourier Transform. Building on that, in this part (EE210.2x) we will deal with the Sampling theorem, Z-Transform, discrete Fourier transform, and Laplace transform. The contents of the first part are prerequisites for doing this part. Ideas introduced in this course will be useful in understanding further electrical engineering courses which deal with control systems, communication systems, power systems, digital signal processing, statistical signal analysis, and digital message transmission. The concepts taught in this course are also useful to students of other disciplines like mechanical, chemical, aerospace, and other branches of engineering and science.

Please check the course video here.

Course content

The topics covered in this course:

• How to analyze the effect of sampling
• How to reconstruct signals from samples under certain conditions
• How to bring continuous and discrete independent variable systems together
• How to generalize the Fourier Transform for continuous and discrete independent variable systems, using the Laplace and z- transforms

Teaching Faculty

Prof. Vikram Gadre, Department of Electrical Engineering, IIT Bombay

Duration and Venue

Who Should Attend

This course can be taken by any learner who has the following prerequisite knowledge:

High school mathematics: Sequence and series, algebra of complex numbers, basic trigonometry.

Calculus: Differential and Integral calculus (single variable). Knowledge of differential equations is helpful but not required.

Concepts from EE210.1x: Analysis of continuous and discrete signals and systems in the natural/time domain, convolution, Continuous time Fourier analysis - the continuous Fourier Series and Fourier transform.

Corequisites: Basic circuit analysis - Ohm's law, KVL, KCL

Course Fee and Certification

The registration fee for the course is Rs.570/-. However, register before 30 July 2021 for Rs. 470/- to avail the early bird registration discount.

Important Payment Instruction:

Please note that the registration fee once paid is neither refundable nor adjustable under any circumstances.
While making a payment for the course,
(i) If you receive a transaction failure message and your amount is NOT debited, please pay again by logging in to IITBombayX-LAKSHYA programme(https://www.it.iitb.ac.in/lakshya) website.

(ii) If your amount is debited and you still receive a transaction failure message, please DO NOT make another payment. Send a mail to workshopfund@cse.iitb.ac.in with cc to Eoutreach eoutreach@it.iitb.ac.in with a subject "Transaction failure but amount debited". Also, provide the transaction details in the mail. You will soon receive a reply from us on the same.

Honor Code e-Certificates will be issued on successful completion of the course based on the grading policy mentioned in the course. Please note that all e-certificates will be issued online after the course ends on 21 November 2021. No hard copies will be given.

How to Apply

Enrollment will be strictly online, and no other mode of application will be entertained. The online registration is available from 28 June 2021 till 15 August 2021.

Course registration steps for the IITBombayX-Lakshya portal: 

• Once you select the course of your interest from the homepage. A page will open where Click on the link “Click here for registration form” to get enrolled for this course.
• You will be prompted to enter your email address.
1. If you have already registered in our earlier courses: Use your existing email id and password to get enrolled.
2. If you are here for the first time: A form will open where you have to enter the OTP (received in the entered email), password and other required details and press SUBMIT button (for your account creation).
• You will be routed to Registration form of this course and select your appropriate ‘Audience type’, (if not selected earlier) and Press on ‘Pay Now’ button.
• Once the payment is successful , you will receive an automated email. Also, your name will be listed in the ‘List of Participants’ page in Course page.
• Register on IITBombayX site (https://courses.iitbombayx.in/register) using the same email id to access the course content (if already registered in IITBombayX site with same email, then you may skip this step).
• You will be mapped in IITBombayX of this course within 2 to 3 working days.
• You will be able to access the course in your IITBombayX dashboard after login.

Accommodation

Note

The course content is released under Open Source License. All participants must agree that the content contributed by them in any form, (assignments, questions, etc.) would be released under Open Source Licence, by accepting the terms mentioned under ‘No Objection Certificate’. All contributors will be acknowledged.

Address For Communication

Dr. Kalpana Kannan
Project Coordinator, ESOS Project
Department of CSE, Kanwal Rekhi Building,
Indian Institute of Technology Bombay,
Mumbai - 400 076.
Tel.: +91 9833594905 (Mahendra)
Email: eoutreach@it.iitb.ac.in
Website - www.it.iitb.ac.in/lakshya/ www.iitbombayx.in