The style of the article reminds me of my all-time favorite book about DSP, by Richard G Lyons: http://www.amazon.com/Understanding-Digital-Signal-Processin...
Great book. Although it can be a bit handwavey and a bit light on the math. Honestly I think it's best supplemented with a good signals and systems text.
I like "Signal Processing and Linear Systems" by Lathi and "Digital Signal Processing : principles, algorithms and applications" by Proakis.