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The book is not mathematically rigorous; although formulas are presented, they are not derived. However, I feel that to correct this shortfall may make the book too long, and harder to read. I think it is better to get a general overview of the topic from this book, and to look to other sources where mathematical rigor is desired.
Some additional background is helpful, but not necessary to understand the mathematical details that are glossed over. These include a course in Detection and Estimation to understand concepts such as signal spaces, noise, decision regions and probability of error, and an introductory DSP course to understand the issues surrounding aliasing, quantizing, equalization, and source coding. Familiarity with Fourier Transforms and prior background with Probability and Random Processes is essential to understanding the math that is presented in the book.
Overall, I highly recommend this book for someone who wants to appreciate the engineeering constraints that need to be met in the design of digital communication systems.
