I am working on a time sensitive computer science and fluid dynamics project that requires me to find applications of wavelet analysis. I know that at its core, a wavelet transform simply takes a signal and decomposes it into wavelets. What I am confused by is 1) how this can be represented (i.e. as a series of functions? etc) and 2) how said representation can be analyzed (what kind of information can I extract from it, and how?). I've seen some papers online, but I still can't wrap my head around this stuff.
I personally would like to gain a deeper understanding of wavelets, but again, this is time sensitive, so unfortunately I don't have this luxury at the moment.