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Course10310611459 lectures

Introduction to Time-Frequency Analysis and Wavelet Transforms

Prof. Arun Tangirala · IIT Madras

Start with lecture 1 At NPTEL

Lectures

Week 1-Introduction

  1. Lecture 1.1 A (Introduction Part IA) Video
  2. Lecture 1.1 B (Introduction Part IB) Video
  3. Lecture 1.2 A (Introduction Part IIA) Video
  4. Lecture 1.2 B (Introduction Part IIB) Video

Week 2-Basic Definitions and concepts

  1. Lecture 2.1 (Basic Definitions and concepts part I) Video
  2. Lecture 2.2 (Basic Definitions and concepts part II) Video
  3. Lecture 2.3 (Basic Definitions and concepts part III) Video

Week 3-A review of Fourier transforms

  1. Lecture 3.1 (Continuous time Fourier series) Video
  2. Lecture 3.2 (Continuous time Fourier transform) Video
  3. Lecture 3.3 (Discrete time Fourier series) Video
  4. Lecture 3.4 (Discrete time Fourier transform) Video
  5. Lecture 3.5 (Properties of Fourier transforms) Video
  6. Lecture 3.6 (Discrete Fourier transform) Video
  7. MATLAB demo of Fourier transform and periodogram Video

Week 4:Duration and Bandwidth

  1. Duration and Bandwidth Video
  2. Bandwidth equation and Instantaneous frequency Video
  3. Instantaneous frequency and analytic signals Video
  4. Duration-Bandwidth principle Video
  5. Requirements of time-frequency anlysis techniques Video
  6. Requirements of time-frequency analysis and techniques Video

Week 5:Short-time Fourier transform

  1. Short-time Fourier transform Video
  2. Auxillary (MATLAB demonstration) Video
  3. Properties of STFT Video
  4. Practical aspects of STFT Video
  5. Closing Remarks Video

Week 6:Wigner-Ville Distributions

  1. Wigner-Ville Distributions Video
  2. Properties of WVD Video
  3. Properties of WVD 2 Video
  4. Discrete WVD Video
  5. Pseudo and Smoothed WVD Video
  6. Cohens class and smoothed WVD Video
  7. Cohens class and smoothed WVD Video
  8. Cohens class and Ambiguity functions Video
  9. Affine class and closing remarks Video

Week 7:Continuous Wavelet Transforms

  1. Continuous Wavelet Transform Video
  2. Continuous Wavelet Transforms Video
  3. Scale to Frequency Video
  4. Computational aspects of CWT Video
  5. Scalogram and MATLAB demonstration Video
  6. Scalogram and MATLAB demonstration. Video
  7. Scaling function Video
  8. Scaling Function. Video
  9. Wavelets Video
  10. Wavelets. Video
  11. Applications of CWT Video
  12. Applications of CWT. Video

Week 8:Discrete Wavelet Transforms

  1. Discrete Wavelet Transform Video
  2. Discrete Wavelet Transform. Video
  3. Orthogonal scaling function bases and MRA Video
  4. Orthogonal scaling function bases and MRA. Video
  5. Wavelet Filters and Fast DWT Algorithm Video
  6. Wavelet Filters and Fast DWT Algorithm. Video
  7. Wavelet Filters and Fast DWT Algorithm.. Video
  8. Wavelets for DWT Video
  9. Wavelets for DWT. Video
  10. Wavelets for DWT.. Video
  11. DWT computation Video
  12. DWT computation. Video
  13. DWT computation.. Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Madras
Department
Chemical Engineering
Teacher
Prof. Arun Tangirala
Level
Undergraduate
Language
English
Subjects
Chemistry, Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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