Introduction to Adaptive Signal Processing

By Prof. Mrityunjoy Chakraborty | IIT Kharagpur

Learners enrolled: 940 | Exam registration: 88

ABOUT THE COURSE:

Adaptive filters play a very significant role in most of today’s signal processing, communication and control applications. Their ability to process data under conditions not predictable a priori make them very useful in a diverse array of applications like radar, sonar, wireless communications, speech and audio processing, instrumentation, exploration geophysics etc. The topic of adaptive filters is very closely related to neural networks and machine learning. While a full course on adaptive filters is very involved and needs concepts from linear algebra, probability and random variables, for this particular treatment, care has been taken to maintain a minimum prerequisite requirement. Mathematical concepts necessary will be developed as part of the course. The main purpose will be to provide the participants an introduction to the subject and to prepare them for taking further studies in this and related subjects.

INTENDED AUDIENCE: Students belonging to the following disciplines : Electrical Engg., Electronics and Communication Engg., Instrumentation Engg., Information technology and Computer Science, Geophysics, Statistics

PREREQUISITES: Basics of Signals and Systems and / or Digital Signal Processing

INDUSTRY SUPPORT: Qualcomm, Signion, LRDE (DRDO), BEL, DLRL (DRDO)

Summary

Course Status :	Ongoing
Course Type :	Elective
Language for course content :	English
Duration :	8 weeks
Category :	Electrical, Electronics and Communications Engineering Communication and Signal Processing
Credit Points :	2
Level :	Undergraduate/Postgraduate
Start Date :	18 Aug 2025
End Date :	10 Oct 2025
Enrollment Ends :	18 Aug 2025
Exam Registration Ends :	29 Aug 2025
Exam Date :	02 Nov 2025 IST
NCrF Level	4.5 — 8.0

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1: Basic principle of adaptive filtering and estimation; probability, random variables, conditional and joint probability densities, statistical independence, correlation and covariance.

Week 2: Complex random variables, random vectors, correlation and covariance matrices, properties of Hermitian matrices (e.g., correlation / covariance matrices), positive definite forms, multivariate Gaussian density

Week 3: Concepts of random processes, wide sense stationary (WSS) processes and their correlation structures, power spectral density, parametric modeling of WSS processes – AR, MA and ARMA processes.

Week 4: Optimal FIR filters, real and complex valued optimal filters, method of steepest descent

Week 5: Least mean square (LMS) algorithm; convergence of LMS algorithm; normalized LMS, affine projection

Week 6: Examples of adaptive filters : channel equalization, echo cancellation, interference cancellation, line enhancement, beamforming etc.

Week 7: Limitations of LMS algorithm, formulation of recursive least squares (RLS) based adaptive filters, Moore-Penrose pseudo inverse, matrix inversion lemma

Week 8: Development of the RLS transversal adaptive filter, properties, variants of the RLS family.

Books and references

1. "Adaptive Filters”, S. Haykin, Prentice-Hall India

2. "Adaptive Filters”, A. H. Sayed, Wiley-Interscience, New York, USA

3. "Adaptive Filters : Theory and Applications”, B. Farhang-Boroujeny, Wiley, New York, USA

Instructor bio

Prof. Mrityunjoy Chakraborty

IIT Kharagpur

Mrityunjoy Chakraborty obtained Bachelor of Engg. from Jadavpur university, Calcutta, Master of Technology from IIT, Kanpur and Ph.D. from IIT, Delhi. He joined IIT, Kharagpur as a faculty member in 1994, where he currently holds the position of a professor in Electronics and Electrical Communication Engg. The teaching and research interests of Prof. Chakraborty are in Digital and Adaptive Signal Processing, VLSI Signal Processing, Linear Algebra and Compressive Sensing. In these areas, Prof. Chakraborty has supervised several graduate theses, and carried out carried out independent as well as sponsored research.

Prof. Chakraborty is currently an Associate Editor of the IEEE Transactions on Circuits and Systems, part II. Earlier, he had been a senior editorial board (SEB) member of the IEEE Signal Processing Magazine during 2017-2020, an Associate Editor of the IEEE Transactions on Circuits and Systems, part I (2004-2007, 2010-2012) and part II (2008-2009), apart from being a member, SEB of the IEEE journal of Emerging Techniques in Circuits and Systems (2016-2017), Chair of the DSP Technical Committee (TC) of the IEEE Circuits and Systems Society (2016-2018), a guest editor of the EURASIP JASP and special issues of TCAS-II, track co-chair (DSP track) of ISCAS 2015-2021, TPC co-chair of IEEE SIPS-2018, special Session Co-Chair of DSP-18, Gabor track chair of DSP-15, and a TPC member of ISCAS (2011-2014), ICC (2007-2011) and Globecom (2008-2011). Prof. Chakraborty is a co-founder of the Asia Pacific Signal and Information Processing Association (APSIPA), has been a member of the APSIPA BOG (2013-2016) and also, served as the chair of the APSIPA TC on Signal and Information Processing Theory and Methods (SIPTM). He has also been the general chair of the National Conference on Communications – 2012, 2020.

Prof. Chakraborty is a fellow of the National Academy of Sciences, India, and also of the Indian National Academy of Engineering (INAE). He received the prestigious Chair Professorship of the INAE during 2019-2021. Recently he was awarded the Prithviraj and Swati Banerjee Chair Professorship of the IIT Kharagpur. During 2012-2013, he was selected as a distinguished lecturer of the APSIPA.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.

The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).

Date and Time of Exams: November 02, 2025 Morning session 9am to 12 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. If there are any changes, it will be mentioned then.

Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

Please note that assignments encompass all types (including quizzes, programming tasks, and essay submissions) available in the specific week.

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

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 Kharagpur. It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team