How does the Daubechies-4 wavelet VI actually work?

Hi,
I'm a student currently working on my final year project, of which one of the objectives are to detect peaks of ECG signals (R-peaks) using the Daubechies-4 wavelet transform VI in LabVIEW. I'm current using LabVIEW 2013 student edition (6 months trail), if that makes any difference.
I am quite confused about how the Daubechies-4 wavelet works:
1) How many levels does it decompose the signal into?
2) Is there a way to set the level of decomposition?
3) Are filters already applied in the VI or do I actually need to design a filter myself?
4) What is the main difference between a Db4 PtByPt and a normal Db4 transform in terms of LabVIEW?
5) Finally, how does the VI actually superimpose the wavelet onto the signal? Does it take the entire signal into consideration or does it take each pulse into consideration when superimposing the wavelet?
Thanks in advance for the answers.
Regards,
Derren
Solved!
Go to Solution.

Hi Derren,
Firstly, can you clarify the exact name of your 'Daubechies-4 wavelet transform VI' and in which pallette you find it in LabVIEW (i.e. which module / toolkit it is from)? It is also possible that the VI you mentioned is not from NI. For example, maybe you inherited that from your senior who was in the project last year.
Nevertheless, the closest match I can find is WA Discrete Wavelet Transform VI found under the Advanced Signal Processing toolkit. You can choose db04 in the wavelet terminal. This is a bit different to what you described as the VI can work for different kinds of wavelet, not just Daubechies type. Suppose you will use this, then the answer to your questions are:
1) How many levels does it decompose the signal into?
2) Is there a way to set the level of decomposition?
You can set this by wiring the value to the level terminal of the VI.
3) Are filters already applied in the VI or do I actually need to design a filter myself?
Both options are possible. Some commonly used filters are included and you can choose this by wiring the wavelet terminal. You can design your own filter using Wavelet Design Express VI and wire the output to the analysis filters terminal of WA Discrete Wavelet Transform VI.
4) What is the main difference between a Db4 PtByPt and a normal Db4 transform in terms of LabVIEW?
I can not find these VI you mentioned. Please clarify.
5) Finally, how does the VI actually superimpose the wavelet onto the signal? Does it take the entire signal into consideration or does it take each pulse into consideration when superimposing the wavelet?
I am not sure if I understand this question correctly. You can open the WA Discrete Wavelet Transform VI to see how it works inside up to the decimation filtering, in which it is protected as a DLL. From what I see it takes the entire signal (modified with the chosen extension) for this main process.
As a last note, your LabVIEW Student Edition does not include Advanced Signal Processing toolkit, hence you will not find above VIs I mentioned. Try checking with your school if they have purchased Academic license of LabVIEW, which usually includes the toolkit.
Hope this clarifies.
Regards,
A. Yodha
NI Singapore

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Message was edited by: Eugene Khusainov

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