| Wavelet Toolbox | |
Complex Wavelets
Some complex wavelet families are available in the toolbox.
Complex Gaussian Wavelets: cgau
This family is built starting from the complex Gaussian function:
by taking the 
derivative of 
. The integer 
is the parameter of this family and in the previous formula, 
is such that:
You can obtain a survey of the main properties of this family by typing waveinfo('cgau') from the MATLAB command line.
Figure 6-22: Complex Gaussian Wavelet cgau8
Complex Morlet Wavelets: cmor
A complex Morlet wavelet is defined by:
is a wavelet center frequency.
You can obtain a survey of the main properties of this family by typing waveinfo('cmor') from the MATLAB command line.
Figure 6-23: Complex Morlet Wavelet morl 1-1.5
Complex Frequency B-Spline Wavelets: fbsp
A complex Frequency B-Spline wavelet is defined by:
depending on three parameters:
is an integer order parameter (
).
is a wavelet center frequency.
You can obtain a survey of the main properties of this family by typing waveinfo('fbsp') from the MATLAB command line.
Figure 6-24: Complex Frequency B-Spline Wavelet fbsp 2-1-0.5
Complex Shannon Wavelets: shan
This family is obtained from the frequency B-spline wavelets by setting m to 1.
A complex Shannon wavelet is defined by:
is a wavelet center frequency.
You can obtain a survey of the main properties of this family by typing waveinfo('shan') from the MATLAB command line.
Figure 6-25: Complex Shannon Wavelet shan 1-0.5
| | Other Real Wavelets | Summary of Wavelet Families and Associated Properties (Part 1) | |
where 
is the 
derivative of f.
is a bandwidth parameter.
is a bandwidth parameter.
is a bandwidth parameter.