liftwave

Lifting schemes

Syntax

LS = liftwave(WNAME)
LS = liftwave(WNAME,'Int2Int')


Description

LS = liftwave(WNAME) returns the lifting scheme associated with the wavelet specified by WNAME. LS is a structure, not an integer, and used by lwt, ilwt, lwt2, etc.

LS = liftwave(WNAME,'Int2Int') performs an integer to integer wavelet transform. Using 'Int2Int' produces an LS such that when you use [CA,CD] = lwt(X,LS) or Y = lwt(X,LS) and X is a vector of integers, the resulting CA, CD, and Y are vectors of integers. If you omit 'Int2Int' then lwt produces vectors of real numbers.

The valid values for WNAME are

WNAME Values
'lazy'
'haar'
'db1', 'db2', 'db3', 'db4', 'db5', 'db6', 'db7', 'db8'
'sym2', 'sym3', 'sym4', 'sym5', 'sym6', 'sym7', 'sym8'
Cohen-Daubechies-Feauveau wavelets 'cdf1.1','cdf1.3','cdf1.5' 'cdf3.1','cdf3.3','cdf3.5' 'cdf5.1','cdf5.3','cdf5.5' 'cdf2.2','cdf2.4','cdf2.6' 'cdf4.2','cdf4.4','cdf4.6' 'cdf6.2','cdf6.4','cdf6.6'
'biorX.Y'
'rbioX.Y'
'bs3'
'rbs3'
'9.7'
'r9.7'

For more information about lifting schemes, see lsinfo.

Examples

% Start from the db2 wavelet and get the
% corresponding lifting scheme.
lsdb2 = liftwave('db2');

% Visualize the obtained lifting scheme.
displs(lsdb2);

lsdb2 = {...                                         
'd'             [ -1.73205081]              [0]   
'p'             [ -0.06698730  0.43301270]  [1]   
'd'             [  1.00000000]              [-1]  
[  1.93185165]  [  0.51763809]              []    
};