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cwtftinfo2

Supported 2-D CWT wavelets and Fourier transforms

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Syntax

cwtftinfo2(wname)

Description

cwtftinfo2(wname) displays the equation for the 2-D Fourier transform of the wavelet, wname. The figure with the 2-D Fourier transform of the analyzing wavelet has a drop-down list you can use to select other wavelets.

example

Examples

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Open Live Script

Display the expression for the 2-D Fourier transform of the Cauchy wavelet. After displaying the Fourier transform for any wavelet, you can use the drop-down list in the bottom left to view the Fourier transform for any supported wavelet. 

cwtftinfo2('cauchy')

Figure contains an axes object and an object of type uicontrol. The axes object with title cauchy contains an object of type image.

Input Arguments

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Wavelet name, specified as a character vector or string scalar. The following table lists the supported wavelets for the 2-D CWT and associated parameters:

Wavelet NameParameters
'morlet'{'Omega0',6;'Sigma',1;'Epsilon',1}
'marr'{'p',2;'sigmax',1;'sigmay',1}
'paul' {'p',4}
'dog'{'alpha',2}
'cauchy'{'alpha','pi/6';'sigma',1;'L',4;'M',4}
'escauchy'{'alpha','pi/6';'sigma',1;'L',4;'M',4}
'gaus'{'p',1;'sigmax',1;'sigmay',1}
'wheel'{'sigma',2}
'fan'{'Omega0X',5.336;'Sigma',1;'Epsilon',1;'J',6.5}
'pethat'None
'dogpow'{'alpha',1.25;'p',2}
'esmorl'{'Omega0',6;'Sigma',1;'Epsilon',1}
'esmexh'{'Sigma',1;'Epsilon',0.5}
'gaus2'{'p',1;'sigmax',1;'sigmay',1}
'gaus3'{'A',1;'B',1;'p',1;'sigmax',1;'sigmay',1}
'isodog'{'alpha',1.25}
'dog2'{'alpha',1.25}
'isomorl'{'Omega0',6;'Sigma',1}
'rmorl'{'Omega0',6;'Sigma',1;'Epsilon',1}
'endstop1'{'Omega0',6}
'endstop2'{'Omega0',6;'Sigma',1}
'gabmexh'{'Omega0',5.336;'Epsilon',1}
'sinc'{'Ax',1;'Ay',1;'p',1;'Omega0X',0;'Omega0Y',0}

The wavelets may be grouped in families:

  • MORLET — 'morlet', 'esmorl', 'rmorl', 'isomorl'

  • DOG — 'dog', 'isodog', 'dog2', 'dogpow'

  • GAUSS — 'marr', 'gaus', 'gaus2', 'gaus3', 'esmexh'

  • PAUL — 'paul'

  • CAUCHY — 'cauchy', 'escauchy'

  • WHEEL — 'wheel', 'pethat'

  • MISCELLANEOUS — 'endstop1', 'endstop2', 'gabmexh', 'sinc', 'fan'

Example: cwtftinfo2('paul')

Data Types: char

References

[1] Antoine, Jean-Pierre, Romain Murenzi, Pierre Vandergheynst, and Syed Twareque Ali, eds. Two-Dimensional Wavelets and Their Relatives. Paperback re-Issue, Digitally printed version. Cambridge: Cambridge Univ. Press, 2008.

Version History

Introduced in R2013b

See Also

Apps

Functions