This would most likely be the opposite of this question ( Mathematically inclined Signal and Systems/Signal Processing book? ) I figured I'd ask here if there are any good books that while, necessarily, focus on the math are more oriented to what these concepts can DO instead of the mathematics behind it, so I guess more how it changes the graphing or the function etc instead of the functions behind them.
The book "Blip, Ping & Buzz", by M. Denny (2007, John Hopkins University Press), explains signal processing, as used in sonar and radar, at the level of a supermarket science magazine. Some algebra required. More on the use of Fourier analysis than any theory.
Title: "The World According to Wavelets" Author: Barber Burke Hubbard Publisher: A K Peters
This book covers Fourier series, Fourier transforms and lots of related concepts as an introduction to another topic you may find interesting, wavelet analysis.
The book is in two parts. Part one is non-technical. Part includes some math. The book also discusses the history and application of these important tools.
If you are trying to understand digital signal processing concepts, i would suggest that you make peace with the math before going forward. You might find one or two books that explain things with some analogies and sort of in the air without dealing with the math, but eventually you need to know it. Math is not as bad as it seems.