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As a math student interested in signal processing, particularly with wavelets, I am seeking recommendations for introductory books on the topic.

My current knowledge is limited to Fourier transforms covered in a standard calculus course. I would prefer books that include a significant number of practice problems.

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    $\begingroup$ There's a book on wavelets by Strang that is quite good. $\endgroup$
    – MBaz
    Aug 1, 2023 at 13:03

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You can find some good book suggestions for Wavelets under this post. Also check out this post for other DSP subtopics, particularly Audio. And this post for an even more complete list.

If you are an absolute beginner in DSP then perhaps Signals and Systems by Alan V. Oppenheim might be a good start. But given that you already have some knowledge on Fourier theory you can directly jump to one of the best DSP books: Discrete-Time Signal Processing also by Alan V. Oppenhem.

An slightly more advanced book that might be more suitable for you owing to your Mathematics background is: Foundations of Signal Processing.

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I'd suggest "A Wavelet Tour of Signal Processing: The Sparse Way" by Stephane Mallat, and "Wavelets and Filter Banks" by Gilbert Strange and Truong Nguyen.

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