.Wavelet.Types

Information

Enumeration variables are defined here.

waveletID: ID numbers of wavelets

waveletID Wavelet name
1 Haar
2 Daubechies
3 Symlets
4 Coiflets
5 Biorthogonal spline
6 Reverse biorthogonal spline
7 Meyer
8 Discrete Meyer
9 Gaussian
10 Mexican hat
11 Morlet
12 Complex Gaussian
13 Complex Morlet
14 Complex Shannon
15 Complex frequency B-Spline

mraDisplay: Data type to be displayed in MRA

Value Name Description
1 coefficients Wavelet coefficients
2 signal Reconstructed signal

threshID: ID numbers of different methods for threshold calculation for denoising

Value Name Description
1 fixedForm Fixed form threshold. Threshold value = sqrt(2*ln(N)), with N being the length of the data to be denoised.
2 SURE The threshold is calculated using the principle of Stein's Unbiased Risk Estimate(SURE).
3 heurSure Heuristic SURE method. It is a combination of fixedForm and SURE methods. The noise level is firstly tested. For a high signal-to-noise ratio, SURE method is used, otherwise fixedForm method is used.
4 miniMax The threshold is calculated according to the miniMax principle, which realizes the minimum of the maximum mean square error.

Contents

Name Description
 mraDisplay Selection of display data for MRA: 1 - wavelet coefficients; 2 - reconstructed signal
 threshMethod Methods for calculating threshold for denoising: 1 - fixed form; 2 - SURE method; 3 - heuristic SURE; 4 - minimal maximum method
 wavletID Definition of wavelet identifiers: 1 - Haar; 2 - Daubechies; 3 - Symlets; 4 - Coiflets; 5 - Biorthogonal spline; 6 - Reverse biorthogonal spline; 7 - Meyer; 8 - Discrete Meyer; 9 - Gaussian; 10 - Mexican hat; 11 - Morlet; 12 - Complex Gaussian; 13 - Complex Morlet; 14 - Complex Shannon; 15 - Complex frequency B-Spline

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