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z-transform of 1D & 2D Savitzky-Golay Smoothing and Differentiation Filter

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z-transform of 1D & 2D Savitzky-Golay Smoothing and Differentiation Filter

by Abdulwahab Abokhodair

 

02 Nov 2005 (Updated 03 Nov 2005)

z-transform of 1D & 2D Savitzky-Golay Smoothing and Differentiation Filter

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Description

Compute and plot 1D and 2D Savitzky-Golay smoothing and differentiation filters.

Savitzky-Golay (GS)Filters are polynomial-based filters frequently used for processing of 2D Images.

A good basic introdution to these filters is found on net at:
http://research.microsoft.com/users/jckrumm/SavGol/SavGol.htm.

The following MATLAB functions that compute GS-filters are available at the MATLAB File Exchange:
File IDs [4038; 5661; 4270; 6121; 7003; 5556; 6047; 6151]

This zip-folder contains two functions: ztrans1d.m and ztrans2d.m that compute the z-transform of any GS filter and plot its amplitude spectrum.

Following is a demo of these functions in action for 1D and 2D GS-filters.

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
Savitzky-Golay Smoothing and Differentiation Filter, 2-D Savitzky-Golay Smoothing Filter, Savitzky-Golay Smoothing and Differentiation Filter, fSGolayFilt, Savitzky-Golay smoothing and differentiation filter (closed-formed solutions), Adaptive-Degree Polynomial Filter (Savitzky-Golay Filter), 2-D Savitzky-Golay Differentiation Filter, Adaptive-degree polynomial (Savitzky-Golay) filter for data differentiation
This submission has inspired the following:
2-D Savitzky-Golay Smoothing and Differentiation Filter., 2-D Savitzky-Golay Smoothing and Differentiation Filter

Required Products Symbolic Math Toolbox
MATLAB release MATLAB 7.0.4 (R14SP2)
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Comments and Ratings (1)
20 Dec 2005 Paman Gujral

The main code in the attachment calls the following scripts:
SGSDF1D, SGSF2D, SGDF2D, ZTRANS1D, ZTRANS2D
 
But out of the above only ZTRANS1D and ZTRANS2D are present in the attachment. The others are missing.

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Tag Activity for this File
Tag Applied By Date/Time
filtering Abdulwahab Abokhodair 22 Oct 2008 08:05:25
filter analysis Abdulwahab Abokhodair 22 Oct 2008 08:05:25
filter design Abdulwahab Abokhodair 22 Oct 2008 08:05:25

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