Multirate DSP

By Prof. R. David Koilpillai   |   IIT Madras
Learners enrolled: 460
The key features of this course includes the following topics• An in-depth understanding of sampling, reconstruction, sampling rate conversion using multirate building blocks • Applications of multirate DSP – Filter design, Filterbanks, Transmultiplexer, Delta-Sigma A/D • Mathematical framework for Perfect Reconstruction Filter banks• Achieving capacity in wireless channels, motivation for Multicarrier modulation, Redundancy via zero padding and cyclic prefix • Mathematical framework for OFDM and its extensions • Introduction to Wavelets and Multichannel filter banks• Matlab-based computer exercises to gain understanding of multirate DSP concepts and applications. 

INTENDED AUDIENCE : • B.E. / B.Tech/ M.E./ M.Tech/ Ph.D. students who have completed basic course in Digital Signal Processing 
• Students planning to do projects / research in DSP 
• Industry practitioners working with DSP, audio and video products 
PRE-REQUISITES : Basic course in Digital Signal Processingl
INDUSTRY SUPPORT : Texas Instruments, Qualcomm, Broadcomm, Jasmine Infotech, Samsung, Sasken, Intel, Motorola, Ittiam,
Redpine… Companies developing products based on DSP (audio, speech processing, image processing,
biomedical and other areas)
Course Status : Ongoing
Course Type : Elective
Duration : 12 weeks
Start Date : 18 Jan 2021
End Date : 09 Apr 2021
Exam Date : 24 Apr 2021
Enrollment Ends : 01 Feb 2021
Category :
  • Electrical, Electronics and Communications Engineering
  • Communication and Signal Processing
Level : Undergraduate/Postgraduate

Course layout

Week 1   :  Introduction• Overview of Sampling and Reconstruction • Review Discrete-Time Systems, digital filters
Week 2   :  Oversampling techniques, DT processing of continuous time signals 
Week 3   :  Fundamentals of Multi-rate Systems• Basic building blocks – Up sampling, down sampling, aliasing•
   Mathematical framework for sampling rate change 

Week 4   :  Sampling rate change and filtering, fractional sampling rate change 
Week 5  :  Interconnection of multirate DSP blocks, Multiplexer and Demultiplexer functionality, Polyphase decomposition,
   Noble Identities, efficient implementation of sampling rate conversion

Week 6   :  Applications of Multirate DSP - DFT-based Filterbanks, Interpolated FIR filter design, Cascaded-Integrator-Comb
  (CIC) filters, Transmultiplexer, Filterbank interpretation of Spectral analysis using DFT 

Week 7   :  Two channel maximally decimated filter bank, Signal impairments - Aliasing, Magnitude distortion, Phase distortion,
   Aliasing cancellation 

Week 8 :  Allpass filters, properties, application in two channel filterbanks, Half-band filters, Power complementary filter pairs,
   Mth band filters, two channel perfection reconstruction filterbanks. 

Week 9   :  Capacity of wireless channels, Waterfilling method, motivation for Multicarrier modulation 
Week 10  :  Block transceivers with redundancy, Zero-padding, cyclic prefix, OFDM, extensions of OFDM incuding Filterbank Multicarrier (FBMC) 
Week 11  :  Application of Multirate DSP – Delta Sigma A/D conversion 
Week 12  :  Introduction to wavelets and M-channel perfect reconstruction filterbanks. 

Books and references

Discrete-Time Signal Processing by Alan V. Oppenheim, Ronald W. Schafer, 3rd edition, 2016, Pearson, ISBN 978-93-325-3503-92. P. P. Vaidyanathan, “Multirate Systems and Filter Banks,” Pearson, 2004, ISBN 81-297-0685-73. Lin, Phoong & Vaidyanathan, “Filter Bank Transceivers for OFDM and DMT Systems, Cambridge University Press, 2011, ISBN 978-1-107-00273-94. Norbert Fliege, “Multirate digital signal processing: multirate systems, filter banks, wavelets,” Wiley, 1994, ISBN 978-04719397645. Frederic Harris, “Multirate Signal Processing for Communication Systems,” Prentice Hall, 2004, ISBN 978-0131465114.

Instructor bio

Prof. R. David Koilpillai

IIT Madras
R. David Koilpillai received the B.Tech degree in Electrical Engineering from the Indian Institute of Technology Madras and the M.S. and Ph.D. degrees in Electrical Engineering from the California Institute of Technology, Pasadena, CA. In June 2002, David joined the EE faculty of IIT Madras. He is currently the Qualcomm Institute Chair Professor in EE and Dean (Planning). During the period April 2008 – December 2009, he served as the Co-Chair of the IITM special Task Force for setting up the new IIT at Hyderabad. David also served as Head, Central Electronics Centre of IITM during 20010-11. David’s technical areas of expertise include cellular and broadband wireless systems, and DSP techniques for wireless communications. He is the Faculty Coordinator of the IITMSAT Student Satellite initiative. During January – July 2007, David was on sabbatical from IITM and served as the Chief Scientist, Centre of Excellence in Wireless Technology (CEWiT), a public-private R&D initiative of the Govt. of India, and was responsible for launching the national project – Broadband Wireless Consortium of India (BWCI). Prior to joining IITM, David was at General Electric Corporate R&D for four years and Ericsson USA for eight years, where he held different technical and managerial positions. In 2000, he became the Director of the Ericsson’s Advanced Technologies and Research Department at RTP, North Carolina, developing GPRS/EDGE handset technology. David’s technical contributions at GE and Ericsson have resulted in 32 US patents, 10 Canadian Patents and 19 WIPO/European patents. In 1999 David received the “Ericsson Inventor of the Year” award, the highest technical recognition within Ericsson. In Nov 2003 David was elected Fellow of the Indian National Academy of Engineering. In 2014, David received the Srimathi Marti Annapurna Gurunath Award for Excellence in Teaching (Best Teacher Award of IIT Madras)David’s current technical activities are in the areas of Cellular evolution - 4G and 5G, Smart grid Communications, DSP for High Speed Coherent optical communications

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: 24 April 2021 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.


Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

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 Madras .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

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