NOC:Introduction to Time-Frequency Analysis and Wavelet Transforms


Lecture 1 - Introduction - Lecture 1.1 A


Lecture 2 - Introduction - Lecture 1.1 B


Lecture 3 - Introduction - Lecture 1.2 A


Lecture 4 - Introduction - Lecture 1.2 B


Lecture 5 - Basic Definitions and concepts - Lecture 2.1 (Basic Definitions and concepts - Part I)


Lecture 6 - Basic Definitions and concepts - Lecture 2.2 (Basic Definitions and concepts - Part II)


Lecture 7 - Basic Definitions and concepts - Lecture 2.3 (Basic Definitions and concepts - Part III)


Lecture 8 - A review of Fourier transforms - Lecture 3.1 (Continuous time Fourier series)


Lecture 9 - A review of Fourier transforms - Lecture 3.2 (Continuous time Fourier transform)


Lecture 10 - A review of Fourier transforms - Lecture 3.3 (Discrete time Fourier series)


Lecture 11 - A review of Fourier transforms - Lecture 3.4 (Discrete time Fourier transform)


Lecture 12 - A review of Fourier transforms - Lecture 3.5 (Properties of Fourier transforms)


Lecture 13 - A review of Fourier transforms - Lecture 3.6 (Discrete Fourier transform)


Lecture 14 - A review of Fourier transforms - MATLAB demo of Fourier transform and periodogram


Lecture 15 - Duration and Bandwidth - Duration and Bandwidth


Lecture 16 - Duration and Bandwidth - Bandwidth equation and Instantaneous frequency


Lecture 17 - Duration and Bandwidth - Instantaneous frequency and analytic signals


Lecture 18 - Duration and Bandwidth - Duration-Bandwidth principle


Lecture 19 - Duration and Bandwidth - Requirements of time-frequency anlysis techniques


Lecture 20 - Duration and Bandwidth - Requirements of time-frequency analysis and techniques


Lecture 21 - Short-time Fourier transform - Short-time Fourier transform


Lecture 22 - Short-time Fourier transform - Auxillary (MATLAB demonstration)


Lecture 23 - Short-time Fourier transform - Properties of STFT


Lecture 24 - Practical aspects of STFT


Lecture 25 - Closing Remarks


Lecture 26 - Wigner-Ville Distributions


Lecture 27 - Properties of WVD


Lecture 28 - Properties of WVD 2


Lecture 29 - Discrete WVD


Lecture 30 - Pseudo and Smoothed WVD


Lecture 31 - Cohens class and smoothed WVD


Lecture 32 - Cohens class and smoothed WVD


Lecture 33 - Cohens class and Ambiguity functions


Lecture 34 - Affine class and closing remarks


Lecture 35 - Continuous Wavelet Transform


Lecture 36 - Continuous Wavelet Transforms


Lecture 37 - Scale to Frequency


Lecture 38 - Computational aspects of CWT


Lecture 39 - Scalogram and MATLAB demonstration


Lecture 40 - Scalogram and MATLAB demonstration


Lecture 41 - Scaling function


Lecture 42 - Scaling Function


Lecture 43 - Wavelets


Lecture 44 - Wavelets


Lecture 45 - Applications of CWT


Lecture 46 - Applications of CWT


Lecture 47 - Discrete Wavelet Transform


Lecture 48 - Discrete Wavelet Transform.


Lecture 49 - Orthogonal scaling function bases and MRA


Lecture 50 - Orthogonal scaling function bases and MRA.


Lecture 51 - Wavelet Filters and Fast DWT Algorithm


Lecture 52 - Wavelet Filters and Fast DWT Algorithm (Continued...)


Lecture 53 - Wavelet Filters and Fast DWT Algorithm (Continued...)


Lecture 54 - Wavelets for DWT


Lecture 55 - Wavelets for DWT (Continued...)


Lecture 56 - Wavelets for DWT (Continued...)


Lecture 57 - DWT computation


Lecture 58 - DWT computation (Continued...)


Lecture 59 - DWT computation (Continued...)