Discrete-Time Signal Processing (2nd Edition) (Prentice-Hall Signal Processing Series) by John R. Buck - Discrete-Time Signal Processing

This is the standard text for introductory advanced undergraduate and first-year graduate level courses in signal processing. The text gives a coherent and exhaustive treatment of discrete-time linear systems, sampling, filtering and filter design, reconstruction, the discrete-time Fourier and z-transforms, Fourier analysis of signals, the fast Fourier transform, and spectral estimation. The author develops the basic theory independently for each of the transform domains and provides illustrative examples throughout to aid the reader. Discussions of applications in the areas of speech processing, consumer electronics, acoustics, radar, geophysical signal processing, and remote sensing help to place the theory in context. The text assumes a background in advanced calculus, including an introduction to complex variables and a basic familiarity with signals and linear systems theory. If you have this background, the book forms an up-to-date and self-contained introduction to discrete-time signal processing that is appropriate for students and researchers. Discrete-Time Signal Processing also includes an extensive bibliography.

Discrete-Time Signal Processing
I've used D.T.S.P. for a course and found it very satisfying. I've also read the Schaum's Outline by Monson Hayes and "Understanding Digital Signal Processing" by Richard Lyons, but I wouldn't recommend them to anyone really interested in the subject.

This book can appear more intimidating at a first glance, but chances are that is just the fear of a mind not accustomed to precise, throughout exposition. Actually, such preciseness is the only way to really understand a subject and it is much harder to learn something without it (although, it's easier to delude oneself into thinking that one is learning).

While studying on the Hayes' book I often found myself trying to reconstruct the steps taken to build and use a mathematical representation of a problem, and realizing that there were some informations I was missing; that the exposition made sense only as long as I didn't put it under a magnifying glass to see the holes. As my interest for DSP and my hunger for thoroughness grew I had to turn more and more to the Oppenheim-Schafer in order to find the missing steps, until I decided that it would have been easier to use it as my primary book.

As for the requirements, there isn't really much: some basic calculus and, for some chapters, a knowledge of analog systems - something that you have probably already studied if you are doing this for university, and something that you should study if you are a diy enthusiast.

If this isn't your biggest interest and you only need to pass an exam, the Schaum's outline should be enough. If you want to build a solid foundation in DSP design, acquire new mathematical models and the skill to use them (in my opinion this is a central part in increasing one's intelligence) use this book.

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