Wavelets & Filter Banks: Daubechies 9/7 Filters & Applications in Signal & Image Analysis, Slides of Banking and Finance

Information on course 18.327 and 1.130, which focuses on wavelets and filter banks using the matlab wavelet toolbox. Details on the zeros of h0 and f0 for the daubechies 9/7 pair, frequency responses of daubechies 9/7 filters, single and three-stage decompositions, and individually reconstructed branches. Additionally, it covers 2-d image analysis using matlab, including wavelet decomposition, single and two-stage decompositions, global hard thresholding, and variable hard thresholding.

Typology: Slides

2012/2013

Uploaded on 07/29/2013

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Course 18.327 and 1.130
Wavelets and Filter Banks
Matlab wavelet toolbox.
Matlab Example 3
1. 1-D signal analysis
MATLAB M-file
2
1
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Download Wavelets & Filter Banks: Daubechies 9/7 Filters & Applications in Signal & Image Analysis and more Slides Banking and Finance in PDF only on Docsity!

Course 18.327 and 1.

Wavelets and Filter Banks

Matlab wavelet toolbox.

Matlab Example 3

1. 1-D signal analysis

MATLAB M-file

Daubechies 9/7 pair: zeros of

H

and F

>> example Zeros of H0(z) ans =

2.0311 + 1.7390i 2.0311 - 1.7390i -1.0001 + 0.0001i -1.0001 - 0.0001i -0.9999 + 0.0001i -0.9999 - 0.0001i 0.2841 + 0.2432i 0.2841 - 0.2432i

Zeros of F0(z) ans =

3. -1.0010 + 0.0010i -1.0010 - 0.0010i -0.9990 + 0.0010i -0.9990 - 0.0010i 0.

Complete Set of Daub 9/7 Filters

3-Stage Decomposition

3-Stage Decomposition

Individually Reconstructed

Branches

Reconstruction Error --- upcoef

Matlab Example 4

1. 2-D image analysis

MATLAB M-file

Original Image

Wavelet Decomposition

Single Stage Decomposition

Global Hard Thresholding

Variable Hard Thresholding