Digital signal processing is the art of ... processing signals to come out as you need them or get the the needed information from them. You have 2 views ,perspective points too see a signal:
- the time domain( a plot of the air pressure,intensity,tension over time,a plot)
- the frequency domain(a signal at any point in its time domain can be considered a sum of simple signals)
Diving in to this domain automatically takes you through math,computer programming and physics.
I present to you DSP guide ,it leaves the math at the end chapters.It explains eveything in a simple way: