# Adaptive-Degree Polynomial Filter 1.0

OS : Windows / Linux / Mac OS / BSD / Solaris

Script Licensing : Freeware

Created : Sep 7, 2007

Downloads : 5

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## function polynomial_degree=adpf(data_frame)<br ...

function degree=adpf(data_frame)

adaptive-Degree Polynomial Filter by Jianwen Luo (Savitzky-Golay Filter)

Commonly, the degree of the fitting polynomial for the Savitzky-Golay filter is fixed. However, the polynomial degree can vary according to the sum of squares of fitting residuals and the statistical testing to obtain the Adaptive-Degree Polynomial Filter 1.0.

This function can be used to obtain the polynomial degree (output: polynomial_degree) selected in the Adaptive-Degree polynomial_filter [adaptivedegreepolynomialfilter1.0.exe] (Savitzky-Golay filter) for the data subset of length 2M 1 (intput: data_frame).

Fig_1 %Obtain figure 1 of Ref. [1]

Fig_2 %Obtain figure 2 of Ref. [1]

adaptive-Degree Polynomial Filter by Jianwen Luo (Savitzky-Golay Filter)

Commonly, the degree of the fitting polynomial for the Savitzky-Golay filter is fixed. However, the polynomial degree can vary according to the sum of squares of fitting residuals and the statistical testing to obtain the Adaptive-Degree Polynomial Filter 1.0.

This function can be used to obtain the polynomial degree (output: polynomial_degree) selected in the Adaptive-Degree polynomial_filter [adaptivedegreepolynomialfilter1.0.exe] (Savitzky-Golay filter) for the data subset of length 2M 1 (intput: data_frame).

**Usage:**

Run Pkmi_Calculate first to obtain the numerical table of gram polynomials so as to accelerate the calculation.**Examples:**

**%Examples:**

adpf_demo %A demo of data smoothing with the Adaptive-Degree Polynomial Filter - 0MBFig_1 %Obtain figure 1 of Ref. [1]

Fig_2 %Obtain figure 2 of Ref. [1]

**• MATLAB Release: R14SP1**

**Demands:****Adaptive-Degree Polynomial Filter 1.0 scripting tags:**filter, degree, polynomial filter, adaptive, data, signal processing, obtain, adaptivedegree, adaptive degree, savitzkygolay.

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