(Part 2) Best products from r/DSP

I do not know about your field, only found this :

http://noc.ac.uk/f/content/using-science/wtcnpg-11-561.pdf

to take a peek at later on.
But you can't use tools like wavelets, or look for better efficiency wavelets without having an accurate overview of the whole field, reading either mallat's book, or the one afformentioned in my previous comment, or this one :

http://www.amazon.com/Wavelets-Concise-Guide-Amir-Homayoon-Najmi/dp/1421404966

in my opinion

If you know nothing about the physics of radar I would recommend getting http://www.amazon.com/Stimsons-Introduction-Airborne-Radar-Electromagnetics/dp/1613530226 as well.

Oppenheim and Schafer is too advanced for an intro. I would recommend Signal Processing First by McClellan, Schafer, and Yoder. It is the book I learned with in college.

http://www.amazon.com/Signal-Processing-First-James-McClellan/dp/0130909998

the raspberry pi can be used for many audio applications, if you only pair it with a usb audio interface. for example, this one was only $8 and allowed me to get much improved audio quality out of the pi.

I liked Smith's book, because I am an engineer and scientist.

for audio and sensor data:

for FFT stuff you probably have already read Brigham, if not do read it.

Acton has good books
https://www.amazon.com/Numerical-Methods-that-Work-Spectrum/dp/0883854503
and
https://www.amazon.com/Real-Computing-Made-Forman-Acton/dp/0691036632?ie=UTF8&ref_=asap_bc

for time-frequency look into the S-transform. It's like wavelets but it has the local phase spectrum that is consistent with the discrete fourier transform. There is also an orthonormal version of the S-transform.

I would recommend Proakis or Mitra.

What kind of math do you need for Signals and Systems?

EDIT: The reviews on amazon are terrible... http://www.amazon.com/Signals-Systems-Simon-Haykin/product-reviews/0471378518/ref=cm_cr_dp_see_all_btm?ie=UTF8&showViewpoints=1&sortBy=bySubmissionDateDescending

I have heard good things about Dan Simon's Optimal State Estimation book, but do not have experience with it.

Haykin has a chapter on Kalman filtering in his Adaptive Filter Theory text and a book on Kalman Filtering and Neural Networks.

https://www.amazon.com/dp/B01MS8W9XI

This ,though it goes in detail in all not just signal processing.

https://www.amazon.com/gp/product/3319219448/ref=ox_sc_sfl_title_5?ie=UTF8&psc=1&smid=ATVPDKIKX0DER

this book is likely the book for you. its really the only one on MIR.

Discrete-Time Signal Processing by Alan Oppenheim, MIT professor and head of the their DSP group.

His wiki page mentions he wrote his dissertation under the direction of Amar Bose, founder of Bose audio.

Decimation/interpolation means a change of variable (z=> z^k for interp, z=> z^1/k for decimation) on the transfer function. See this or this(this is the main book ref on multirate systems).

Schaum's Outlines are handy for having solutions to their problems. https://www.amazon.com/Schaums-Outline-Digital-Processing-Outlines/dp/0071635092?ie=UTF8&*Version*=1&*entries*=0

I'd suggest a post to /r/electronics, more than 20 times the audience and a core interest in wiring shit up - which seems to be your problem here :/

On the DSP side, Open CV might be of interest to you as it implements a bunch of stuff and comes with a book.