Where can one find adequate information about the continuous wavelet transform?

Question

Algorithms

Good afternoon!
What a day I've been trying to understand how the continuous wavelet transform works. The bottom line is that I need to implement it in Python. Both forward and backward. So it is with the use of filter coefficients. I can not understand how the wavelets themselves are scaled, how the filter coefficients are applied. Please help, I really need to figure it out. At least something to read. I started reading from articles on wikis, both ours and foreign ones, a lot of books, including those from Ingrid Daubechies. There is no understanding.
Has anyone come across how they came to an understanding?

Answer 1

Get it too cool. For a quick introduction, G. G. Stark, "Application of Wavelets for DSP", seems to me well suited. For deeper acquaintance Petukhov A.P. "Introduction to the theory of wavelet bases" and Smolentsev N.K. "Fundamentals of wavelet theory". You can look at 3 more books from Mull, Blatter and Chewie.

Answer 2

Книжек вам накидали, а я накидаю библиотек на питоне, если вы их вдруг не видели: pywavelets поддерживает одномерное CWT и в scipy оно тоже есть.

Answer 3

Поищите ответ/спросите здесь: mathhelpplanet.com