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What one needs to know to understand wavelets??
I know basics of mathematical analysis, e.g. integrals, but don't understand many topics, e.g. complex numbers.
I need to read Mallat book on wavelets (http://electrolib.com/library/math/Mallat_Wavelet-Tour-of-Signal-Processing.pdf),
but the first chapters ("Fourier Kingdom") get my mind blow: exponentionals, complex numbers, inner product of some vector spaces.
Please, give me a list of math books (up to 5), which I have to read to understand aforementioned book. I imagine it like stages on which building (just understanding of math) is staying.
Thanks a lot.
- lovelearning 11y agoThis online book on basics of signal processing[1] was recently on HN. I found it an excellent resource to understand and develop an intuition for the basic math involved. [1]: http://jackschaedler.github.io/circles-sines-signals/ http://jackschaedler.github.io/circles-sines-signals/
- play_math 11y agoThanks, it's awesome!
- entelechy 11y agoCould you give some more information about your knowledge? Did you study something Math-related? why do you need to read this exact book? - do you have some deadlines? - it would make it easier to create an assemble a list of suitable books. I skimmed over your book, it expects from the user being confident in (complex) functional analysis. I encountered this topic in mathematical image processing and in computational physics. I dont think you really need to read 5 whole books to understand this topic, but it depends highly on your background;
- play_math 11y agoI have to do some image processing algorithms (noise removal) using Discrete Wavelet Transform (I've implemented Critically Sampled DWT). To do this, I want to intuitively understand: what that wavelet function is; why do we need to write integrals (with exponential in complex power!) - thus, why we have to make generalization CWT (Continuous WT) to effectively implement DWT; what parameters can I play with to obtain best result. Now it's black box for me.