Courses » Principles of Signals and Systems

Principles of Signals and Systems


This course is introduces the fundamental principles of signals and system analysis. These concepts form the building blocks of modern digital signal processing, communication and control systems. Hence, a sound understanding of these principles is necessary for all students of Electronics and Communication engineering (ECE), Electrical and Electronics Engineering (EEE), and Instrumentation Engineering (IE). The course will cover various basic tools of signal and system analysis such as signal classification, LTI systems, Properties of LTI Systems, Frequency Response, Laplace Transform, Z-Transform, Fourier Transform, Fourier Series, Discrete Time Fourier Transform (DTFT),  Discrete Fourier Transform (DFT), Cascade/ Parallel structures and their various practical applications. Various concepts such as convolution, impulse/ frequency response, causality, stability of systems will be especially emphasized. Other additional topics such as state space techniques and solutions to state space equations will also be covered. 

This course is suitable for all UG/PG students and practicing engineers/ managers who are looking to build a solid grasp of the fundamental concepts of signals and systems as well as students/ professionals preparing for their college/ university/ competitive exams.

  • Students in Electrical Engineering, Electronics and Communication Engineering
  • Practicing engineers
  • Technical and Non-technical managers of telecomm companies
  • Students preparing for competitive exams with Signals and Systems subject

CORE/ELECTIVE: Can be both core or elective. Core course for students in Electronics and Communication Engineering stream

UG/PG: Both UG/ PG can be allowed

PREREQUISITES: Basic knowledge of Integration, Differentiation, Complex Numbers

INDUSTRY SUPPORT: Most companies in Electronics, Communication and Signal Processing. Examples are Qualcomm, Broadcom, Intel, Sasken etc.

14014 students have enrolled already!!


Prof. Aditya K. Jagannatham (http://home.iitk.ac.in/~adityaj/index.html)  received his Bachelors degree from the Indian Institute of Technology, Bombay and M.S. and Ph.D. degrees from the University of California, San Diego, U.S.A. From April '07 to May '09 he was employed as a senior wireless systems engineer at Qualcomm Inc., San Diego, California, where he worked on developing 3G UMTS/WCDMA/HSDPA mobile chipsets as part of the Qualcomm CDMA technologies division. His research interests are in the area of next-generation wireless communications and networking, sensor and ad-hoc networks, digital video processing for wireless systems, wireless 3G/4G cellular standards and CDMA/OFDM/MIMO wireless technologies. He has contributed to the 802.11n high throughput wireless LAN standard and has published extensively in leading international journals and conferences. He was awarded the CAL(IT)2 fellowship for pursuing graduate studies at the University of California San Diego and in 2009 he received the Upendra Patel Achievement Award for his efforts towards developing HSDPA/HSUPA/HSPA+ WCDMA technologies at Qualcomm. Since 2009 he has been a faculty member in the Electrical Engineering department at IIT Kanpur, where he is currently an Associate Professor, and is also associated with the BSNL-IITK Telecom Center of Excellence (BITCOE). At IIT Kanpur he has been awarded the P.K. Kelkar Young Faculty Research Fellowship (June 2012 to May 2015) for excellence in research. His popular video lectures for the NPTEL (National Programme on Technology Enhanced Learning) course on Advanced 3G and 4G Wireless Mobile Communications can found at the following YouTube link ( NPTEL 3G/4G ).


Week 1  : Introduction to Signals, Signal Classification, Continuous/ Discrete Time Signals
Week 2  : Definition and Classification of Systems, Linear Time Invariant (LTI) Systems
Week 3  : Properties of LTI Systems, Impulse Response, Convolution, Causality, Stability
Week 4  : Impulse Response of Discrete Time Systems, Discrete Time Convolution, Difference Equations and Analysis
Week 5  : Laplace Transform, Properties of Laplace Transform, Inverse Laplace Transform
Week 6  : Introduction to z-Transform, Properties of z-Transform, Region of Convergence, Inverse z-Transform
Week 7  : Introduction to Fourier Analysis, Fourier Series for Periodic Signals, Properties of Fourier Series
Week 8  : Introduction to Fourier Transform, Properties of Fourier Transform, Frequency Response of Continuous Time Systems, Examples of Frequency Response
Week 9  : Fourier Analysis of Discrete Signals, Discrete Time Fourier Transform (DTFT), Properties of DTFT, Examples of DTFT
Week 10 : Frequency Response of Discrete Time Systems, Discrete Fourier Transform (DFT), Properties of DFT, Examples of DFT
Week 11 : IIR/ FIR Filters, Direct Form Realization, Cascade and Parallel Form Realization, Problem Solving
Week 12 Concept of State, State Space Analysis, State Space Representation of Continuous Time Systems, Solution of State Equations for Continuous Systems


•    Signals and Systems, Oppenheim and Willsky, Prentice Hall
  • The exam is optional for a fee.
  • Date of Exam: April 28th 2019 (Sunday).
  • Time of Exam: Morning session 9am to 2 noon; Afternoon session: 2pm to 5pm
  • Registration url: Announcements will be made when the registration form is open for registrations.
  • The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published.

  • Final score will be calculated as : 25% assignment score + 75% final exam score
  • 25% assignment score is calculated as 25% of average of  Best 8 out of 12 assignments
  • E-Certificate will be given to those who register and write the exam and score greater than or equal to 40% final score. Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Kanpur. It will be e-verifiable at nptel.ac.in/noc.