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. 475/-. However, register before 25 August 2020 for Rs. 375/- to avail the early bird registration discount. Please note that the registration fee once paid is neither refundable nor adjustable under any circumstances

Important payment instructions: 

In case of a course fee transaction failure, the participant will get an auto-generated mail with instructions for further process. Please go through the mail carefully. If the amount is already debited to your account, please do not make another payment. In case of a double payment (or more than once), please send a mail to dbpaccounts@cse.iitb.ac.in requesting for a refund. The participant will also have to check the following link for his/her vendor creation in order to get a refund. IIT Bombay will not be able to process the refund (for any reason) if the vendor creation, as per IIT Bombay's requirement, is not completed by the participant. Link:- https://portal.iitb.ac.in/vrp/index.jsp

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 25 November 2020. 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 for the course will start on 10 August 2020. It will remain open till 16 October 2020.

Registration process for the Program: Flowchart of registration process

• Sign up using your valid email id on the website:
  https://www.it.iitb.ac.in/lakshya/signup.html
• After verification, your account will be created
• Login on the website with the verified account
• Go to Announcements, select the program and register
• After successful registration, you will receive an automated email. Your name will be listed in the “List of Participants page”
• Thereafter register on IITBombayX site (https://courses.iitbombayx.in/register) using the same email id to access the course content

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