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Courses » Introduction to Time-Frequency Analysis and Wavelet Transforms

Introduction to Time-Frequency Analysis and Wavelet Transforms

ABOUT THE COURSE

Time-frequency analysis (TFA) is concerned with simultaneous analysis of signals in time-and frequency-domains. A widely encountered topic in signal processing, TFA tools are the standard for the analysis of multiscale systems (e.g., speech processing, seismic data analysis, multiscale filtering, etc.). In this course, we shall learn the basic concepts of time-frequency analysis and three widely established methods, namely, the short-time Fourier transform (STFT), Wigner-Ville distributions and wavelet transforms, starting with a review of Fourier transforms. Emphasis will be laid on wavelet transforms and their applications. Theoretical concepts are explained with practical demonstrations in MATLAB at each stage of the course.

INTENDED AUDIENCE
    • Elective
    • Senior UG and introductory level PG course
    • BE / ME / MS / MSc / PhD

    PRE-REQUISITES

    Participant should have completed at least four semesters of undergraduate education in Engineering (any discipline) or have a Bachelors degree in Sciences. Background in an introductory signal processing courses is preferred, but not mandatory.

    INDUSTRY SUPPORT – LIST OF COMPANIES/INDUSTRY THAT WILL RECOGNIZE/VALUE THIS ONLINE COURSE

    Honeywell Technology Solutions Ltd.,ABB, Gramener, Siemens, General Electric, General Motors, etc.

    441 students have enrolled already!!

    COURSE INSTRUCTOR


    Arun K. Tangirala is a Professor in the Department of Chemical Engineering, IIT Madras. His research specializations include the fields of data-driven modelling and process systems engineering. Dr. Tangirala has conducted several short-term courses on the topics of applied digital signal processing, time-frequency analysis and system identification. He is also the author of a comprehensive classroom text on empirical modelling titled “ Principles of System Identification – Theory & Practice” published by CRC Press in Dec. 2014.
       

    MORE DETAILS ABOUT THE COURSE

    Course url: https://onlinecourses.nptel.ac.in/noc16_ch05
    Course duration : 12 weeks
    Start date and end date of course: 18 July 2016 - 7 October 2016
    Dates of exams :          16 October 2016 & 23 October 2016
    Time of exam : 2pm - 5pm
    Final List of exam cities will be available in exam registration form.
    Exam registration url - Will be announced shortly
    Exam Fee:     The online registration form has to be filled and the certification exam fee of approximately Rs 1000(non-Programming)/1250(Programming) needs to be paid.

    CERTIFICATE

    E-Certificate will be given to those who register and write the exam. Certificate will have your name, photograph and the score in the final exam. It will have the logos of NPTEL and IIT Madras.
    It will be e-verifiable at nptel.ac.in/noc.

    COURSE LAYOUT
    Week 1    Introduction, Basic Definitions & Concepts
    Week 2    Fourier Series & Fourier Transform (Continuous- and Discrete-Time), Discrete Fourier Transform, Periodogram
    Week 3    Time-Frequency Analysis: Basic Concepts & Definition, Duration-Bandwidth Principle, Joint Energy Density
    Week 4    Short-time FT, its Properties & Applications
    Week 5    Wigner-Ville Distributions, Interference in WVD, its Applications
    Week 6    Cohen’s class, Smoothed WVD, Ambiguity Functions, Affine Class
    Week 7    Continuous Wavelet Transform and its Computational aspects, Scale to Frequency conversion.
    Week 8    Scalogram, Scaling Function and Wavelets.
    Week 9    Applications of CWT; Discrete-Wavelet Transform, Frame Theory
    Week 10  Multiresolution Approximation, Conjugate Mirror Filters
    Week 11  Wavelets for DWT, Design aspects
    Week 12  De-noising & Signal Estimation, Closing Remarks (Summary,WPT, EMD)

    Click here to get the detailed timetable of the course lectures.