Hi ABINA PRADEEP,
I understand that you have x and y coordinates of a sample along with the mode shape corresponding to each coordinate, and you want to perform a 2D or 3D continuous wavelet transform (CWT) using Wavelet Toolbox, aiming to analyze or process your data with the wavelet design and analysis tool.
To perform a 2D or 3D continuous wavelet transform on your data, follow these steps:
- Reshape Your Data: If your mode shape data is not already in a 2D matrix (for 2D CWT) or a 3D array (for 3D CWT), you will need to reshape it. MATLAB functions like "reshape" can help, but the specific reshaping will depend on how your x and y coordinates relate to the mode shape values.
- Selecting a Wavelet: Choose an appropriate wavelet for your analysis. The choice of wavelet depends on the characteristics of your data and the features you want to analyze. For starting, you might use the 'morl' (Morlet wavelet) for continuous data.
- Performing the CWT: MATLAB's Wavelet Toolbox currently supports 2D continuous wavelet transforms directly through functions like "cwtft2". For 3D data, you may need to apply the 2D transform slice-by-slice.
- Analyzing the Results: After performing the CWT, analyze the coefficients to identify features of interest. This might involve looking at the scales at which certain features appear most prominently or comparing coefficients across different locations.
- Visualization: you can visualize data using "imagesc" function for 2D data.
References for further exploration:
- For an overview of wavelet transforms and their applications, refer to the documentation of Wavelet Toolbox: https://in.mathworks.com/help/wavelet/
- To learn more about performing a 2D continuous wavelet transform, see the documentation for "cwtft2": https://in.mathworks.com/help/wavelet/ref/cwtft2.html
Hope this helps!
