Analysis Wavelet and Analysis Scaling - Advanced Signal Processing Toolkit

[DonRoth]

My question relates to the morphological relationship between an analysis wavelet and the analysis scaling signals. For example, with the db06 wavelet, the mother analysis wavelet is defined. How then is the complementary analysis scaling signal defined? Is it mathematically derived from the analysis wavelet? If so, how?  This question does not have to do with the concept of scaling and shifting - rather it is about the morphology of the scaling signal used in the trend calculation and how it is derived from mother wavelet.  Given an analysis wavelet, can one apply a mathematical formula to obtain the sister scaling signal?

For example, in the Express VI Configure Multiresolution Analysis interface, the db02 analysis scaling and analysis wavelet look like:

Is there a mathematical relationship that was used to determine the analysis scaling shown and is it based on the analysis wavelet shown?

Thanks,

Don

[JtotheB]

Hey Don,

The scaling function is defined by both the mother wavelet and the father wavelets. Here is a primer on that process, and an MIT lecture where Gil Strang describes what's going on. As far as what LabVIEW is doing in that express VI, I have no idea how they are implementing those mathematics. Hope that helps!

[VASCO-1]

Hi John,

I would like to ask you for the possibiity to evaluate andpresent the wavelet as waterfall. Certain question I have posted on the forum (link), but I have got the question only about "wiring".

What is wrong with mine code, that 3D diagram is not the same as this in literature ?!

Thank You in advance for Your assistance!

Best regards,

Vasco

[0utlaw]

Hello Vasco,

I believe that what you need to change is the polymorphic instance of the Waterfall plot helper from (Vector) to (Matrix); the current configuration has it looking for two vectors, rather than the 2D z-array that you have provided it with.

[VASCO-1]

Hi Tom!

Could You please post the solution to see the procedure ... I am a bit on the "crosroads" ...

Thank You for the uunderstanding ...

Best regards,

Vasco