Looks like Martin Vetterli, Jelena Kovacevic and Vivek Goyal went through the monumental undertaking of writing a book on the foundations of signal processing aptly titled Foundations of Signal Processing. You can get it directly from Cambridge University Press, from Amazon, or from another retailer.
Let us note that a trimmed down version is available in pdf from the book's website:
and let us also note that the book has a companion book called Fourier and Wavelet Signal Processing that is not yet finished. That second book gets to compressive sensing at the very end: a situation not unlike that of certain last sentences in Isaac Asimov's Foundation series.
PS: Until I looked it up, I did not know that Asimov had been a professor at Boston University where
Vivek, one of the author, also teaches.
Vivek, one of the author, also teaches.
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Any idea when the second book comes out?
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