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...)