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NOC:Introduction to Time  Frequency Analysis and Wavelet Transforms
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NOC:Introduction to Time  Frequency Analysis and Wavelet Transforms
by Dr Arun K Tangirala

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....

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level English
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Program Fee
FREE
About This Course

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....

Course Curriculum
8 Sections | 57 Lecture | 26h 49min total length
Expand all sections
NOC:Introduction to Time  Frequency Analysis and Wavelet Transforms

Week 1-Introduction

| 01h 20min total length
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    Lecture 1.1 B (Introduction Part IB)

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    Lecture 1.1 A (Introduction Part IA)

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    Lecture 1.2 A (Introduction Part IIA)

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    Lecture 1.2 B (Introduction Part IIB)

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NOC:Introduction to Time  Frequency Analysis and Wavelet Transforms

Week 2-Basic Definitions and concepts

| 01h 20min total length
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    Lecture 2.1 (Basic Definitions and concepts part I)

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    Lecture 2.2 (Basic Definitions and concepts part II)

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    Lecture 2.3 (Basic Definitions and concepts part III)

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NOC:Introduction to Time  Frequency Analysis and Wavelet Transforms

Week 3-A review of Fourier transforms

| 02h 42min total length
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    Lecture 3.1 (Continuous time Fourier series)

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    Lecture 3.2 (Continuous time Fourier transform)

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    Lecture 3.3 (Discrete time Fourier series)

    24m <?php echo $alt; ?>
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    Lecture 3.4 (Discrete time Fourier transform)

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    Lecture 3.5 (Properties of Fourier transforms)

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    Lecture 3.6 (Discrete Fourier transform)

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NOC:Introduction to Time  Frequency Analysis and Wavelet Transforms

Week 4:Duration and Bandwidth

| 02h 44min total length
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    Duration and Bandwidth

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    Bandwidth equation and Instantaneous frequency

    15m <?php echo $alt; ?>
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    Instantaneous frequency and analytic signals

    34m <?php echo $alt; ?>
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    Duration-Bandwidth principle

    23m <?php echo $alt; ?>
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    Requirements of time-frequency anlysis techniques

    27m <?php echo $alt; ?>
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    Requirements of time-frequency analysis and techniques

    27m <?php echo $alt; ?>
NOC:Introduction to Time  Frequency Analysis and Wavelet Transforms

Week 5:Short-time Fourier transform

| 03h 00min total length
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    Short-time Fourier transform

    36m <?php echo $alt; ?>
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    Auxillary (MATLAB demonstration)

    36m <?php echo $alt; ?>
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    Properties of STFT

    40m <?php echo $alt; ?>
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    Practical aspects of STFT

    40m <?php echo $alt; ?>
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    Closing Remarks

    25m <?php echo $alt; ?>
NOC:Introduction to Time  Frequency Analysis and Wavelet Transforms

Week 6:Wigner-Ville Distributions

| 03h 40min total length
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    Wigner-Ville Distributions

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    Properties of WVD

    22m <?php echo $alt; ?>
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    Properties of WVD 2

    19m <?php echo $alt; ?>
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    Discrete WVD

    19m <?php echo $alt; ?>
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    Pseudo and Smoothed WVD

    26m <?php echo $alt; ?>
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    Cohens class and smoothed WVD

    22m <?php echo $alt; ?>
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    Cohens class and smoothed WVD

    19m <?php echo $alt; ?>
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    Cohens class and Ambiguity functions

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    Affine class and closing remarks

    30m <?php echo $alt; ?>
NOC:Introduction to Time  Frequency Analysis and Wavelet Transforms

Week 7:Continuous Wavelet Transforms

| 05h 14min total length
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    Continuous Wavelet Transform

    30m <?php echo $alt; ?>
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    Continuous Wavelet Transforms

    21m <?php echo $alt; ?>
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    Scale to Frequency

    39m <?php echo $alt; ?>
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    Computational aspects of CWT

    39m <?php echo $alt; ?>
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    Scalogram and MATLAB demonstration

    19m <?php echo $alt; ?>
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    Scaling function

    26m <?php echo $alt; ?>
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    Scaling Function.

    26m <?php echo $alt; ?>
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    Wavelets

    26m <?php echo $alt; ?>
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    Wavelets

    25m <?php echo $alt; ?>
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    Applications of CWT

    30m <?php echo $alt; ?>
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    Applications of CWT.

    28m <?php echo $alt; ?>
NOC:Introduction to Time  Frequency Analysis and Wavelet Transforms

Week 8:Discrete Wavelet Transform

| 06h 46min total length
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    Discrete Wavelet Transform

    20m <?php echo $alt; ?>
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    Discrete Wavelet Transform.

    42m <?php echo $alt; ?>
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    Orthogonal scaling function bases and MRA

    25m <?php echo $alt; ?>
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    Orthogonal scaling function bases and MRA

    34m <?php echo $alt; ?>
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    Wavelet Filters and Fast DWT Algorithm

    27m <?php echo $alt; ?>
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    Wavelet Filters and Fast DWT Algorithm

    26m <?php echo $alt; ?>
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    Wavelet Filters and Fast DWT Algorithm

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    Wavelets for DWT

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    Wavelets for DWT

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    Wavelets for DWT

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    DWT computation

    39m <?php echo $alt; ?>
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    DWT computation

    34m <?php echo $alt; ?>
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    DWT computation

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show 5 more sections
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