How can I find the detail and approximation coefficients in double tree complex wavelet transform in MATLAB?

In DWT by using wavedec function we can decompose the signal and by using detcoef function we can find out the approximation and detail coefficients at different levels. Is there any such function in MATLAB for Complex wavelet transform ? Can anyone help me in this?

Answer 1

[Jaskirat]

Hello @Sudheer Naidu

MATLAB’s Wavelet Toolbox supports complex-valued wavelet transforms in two main ways: the continuous wavelet transform (CWT) via the “cwt” and “icwt” functions; and the discrete dual-tree complex wavelet transform (DTCWT) via the “dualtree” and “idualtree” functions.

The following example might be helpful in learning how to create approximately analytic wavelets using the dual-tree complex wavelet transform:

https://www.mathworks.com/help/wavelet/ug/analytic-wavelets-using-the-dual-tree-wavelet-transform.html

You can refer to the following documentation links for more information on the above-mentioned functions:

https://www.mathworks.com/help/wavelet/ref/cwt.html

https://in.mathworks.com/help/wavelet/ref/icwt.html

https://in.mathworks.com/help/wavelet/ref/dualtree.html

Hope this helps!