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The Discrete Wavelet Transform

February 2, 2019 by 3200 Creative

The Discrete Wavelet Transform

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  1. Question 1 of 4
    1. Question

    The discrete wavelet transform computes the wavelet coefficients d_j[k] at resolution j from the scaling coefficients c_{j-1}[k] at resolution j-1

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  2. Question 2 of 4
    2. Question

    Identify which of the following quantities are needed to compute the discrete wavelet transform.

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  3. Question 3 of 4
    3. Question

    The inverse discrete wavelet transform calculates the scaling coefficients c_j[k] at resolution j from the scaling coefficients c_{j-1}[k] at resolution j-1 and the wavelet coefficients d_j[k] at resolution j.

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  4. Question 4 of 4
    4. Question

    If a signal x(t) is sampled sufficiently densely, then we may approximate the scaling coefficients at the highest resolution by samples of the signal.

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Course Lessons

  • Introduction to Signal Representation Using Bases

  • Introduction to Wavelets

  • Multiresolution Analysis and the Scaling Function

  • Multiresolution Analysis and the Wavelet Decomposition

  • The Discrete Wavelet Transform

  • Wavelet Selection

  • Principal Component Analysis

Courses

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  • Time Domain LTI Systems

  • Fourier Series and Transforms

  • Sampling and Reconstruction

  • The DFT and Applications

  • The Z-Transform

  • Intro to Filter Design

  • IIR Filter Design

  • FIR Filter Design

  • Random Signal Characterization

  • Basis Representations of Signals

  • Estimation of Power Spectra and Coherence

  • Introduction to Signal Estimation and Detection Theory

  • MMSE Filtering and Least-Squares Problems

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