Courses » Introduction to Time-Frequency Analysis and Wavelet Transforms

Introduction to Time-Frequency Analysis and Wavelet Transforms

Exam datesMarch 22nd / 29th 2015; 1 PM to 4 PM
Exam Registration URL

Exam registration open till Feb 27th 2015 5 PM.

Certificate will have the test score, which is a combination of your assignment scores and exam score. Only those who have already enrolled in this course will be able to register for the exam.

The course introduces the basic concepts of time-frequency analysis such as joint energy density, duration-bandwidth principle, analytic signals, etc. and wavelet transforms, specifically, the continuous and discrete versions. A short review of Fourier transforms will be presented at the start of the course.

2061 students have enrolled already!!

Arun K. Tangirala, Ph.D.,
Associate Professor,
Dept. of Chemical Engineering, 
IIT Madras 

Email: arunkt@iitm.ac.in

Dr. Tangirala is presently working as an Associate Professor at the Dept. of Chemical Engineering, IIT Madras. His research areas span the fields of system identification, process control and data analysis. Dr. Tangirala has been teaching courses on Time-Series Analysis, System Identification, Process Control, Wavelet Transforms and Statistical Data Analysis for more than a decade now. He is also the author of a recent book on "Principles of System Identification: Theory and Practice", which is designed as a one-stop classroom resource for system identification.
Teaching assistants: Mr. Satheesh Perepu (Ph.D. Research Scholar) and Mr. Narasimhan Balakrishnan (senior undergraduate student).

The course material will be presented in eight (8) units spread over nine (9) weeks. Each unit consists of several modules.
  • Units 1-3: Overview; Basic definitions; Review of FTs
  • Unit 4: Essential concepts in TFA; Instantaneous frequency; Analytic signals 
  • Unit 5: Short-time Fourier transforms
  • Unit 6: Wigner-Ville distributions
  • Units 7-8: Wavelets, CWT, DWT; Filtering perspectives, multi-resolution approximation (MRA)
Evaluation: Assignments are posted at the end of each week. A final exam will be conducted on a suitable data, registrations for which will be announced shortly after the commencement of the course.

MATLAB (a registered product of the MathWorks Inc.) is the primary software used in this course. Free toolboxes, namely, the Time-Frequency Toolbox and the WAVELAB Toolbox along with MATLAB's Wavelet Toolbox will be used extensively to illustrate the technical concepts.