问题:

What are some good resources for learning about DSP (including the mathematics and algorithms necessary for actually understanding these resources)?

Let's assume that my math skills are rusty from lack of use as well, so a roadmap along the lines of:

Stats refresher
Calculus refresher
Solid newbie explanation of FFT
(50 steps later...)

would be nice and hopefully result in DSP skills and knowledge approaching "competent".

回答1:

How Do I Learn DSP?

A Beginner's Guide to Digital Signal Processing

As well as the The Scientist and Engineer's Guide to Digital Signal Processing By Steven W. Smith, there is also the excellent Understanding Digital Signal Processing

回答2:

I learned a lot from the Scientist and Engineer's Guide to DSP. You can read it for free online at http://www.dspguide.com/ It's nice because it focuses more on what you can do with DSP, rather than the underlying math.