cwt1dt

Compute several 1D+T continuous wavelet transforms

Syntax

out = cwt1dt(fsig, wavname, scales, velos [,WaveletParameter] [,'Norm', NormValue])

out = cwt1dt(fsig, wavname, scales, velos [,'WaveletOptionName', WaveletOptionValue] [,'Norm', NormValue])

Description

This function computes the 1D + T continuous wavelet transform of a 1D+T signal. Wavelets are taken inside the sub directory 'wave_defs' (see the README to know how to write your own wavelet)

Input Data

fsig

[CPLX MATRIX]: the fourier transform of the 1D+T signal obtained by fft2. Be careful to always put spatial component horizontally!

wavname

[STRING]: the name of the wavelet to use;

scales, velos

[REALS]: contains the scales and the velocities of the transform.

WaveletParameter

[MISC]: a wavelet parameter. His type depend of the wavelet used. See the corresponding wavelet mfile (inside wave_defs) for the correct parameters.

WaveletOptionName, WaveletOptionValue

[STRING, MISC]: Another way of writting wavelet parameters. The wavelet parameter name (a string) is followed by its value. See the corresponding wavelet mfile (inside wave_defs) for the parameter to enter.

NormValue

['l1'|'l2']: is a string which describes the normalization of the wavelet transform, namely the 'L1' or 'L2' normalization. The 'L2' is taken by default.

Output Data

out [STRUCT]: the output of the transform. A structured data with the following fields:

• "out.data" (the resulting matrix)
• "out.type" (the type of the transform)

Example(s)

%% load the 3 moving Gaussians sample.
>> mat = movgauss; 

%% Computes the CWT1DT of this signal.
>> wav = cwt1dt(fft2(mat),'morlet',4,vect(-2,2,128),'time',10);

%% Display at time 10 the velocity-position representation of the CWT.
>> yashow(wav);

References

[1]: "Spatio-Temporal Wavelet Transform for Motion Tracking", J.-P. Leduc, F. Mujica, R. Murenzi, and M. J. T. Smith, presented in ICASP'97, Munich, Germany, Apr. 1997

See Also

cwt1d_yashow cwt1dt cwt1dt_yashow cwt2d_yashow cwtsph_yashow mexican1dt morlet1dt movgauss movgauss samcwt2d_yashow wpck2d_yashow yashow

Location

continuous/1dt/cwt1dt.m