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Signals and transforms in linear systems analysis
Wasylkiwskyj W., Springer Publishing Company, Incorporated, New York, NY, 2013. 389 pp. Type: Book (978-1-461432-86-9)
Date Reviewed: Feb 3 2014

Why another book on signals and systems? There are so many books available on this important part of information and communications technology (ICT), which has a significant impact in various parts of our day-to-day lives. So what makes this one worth reading?

The answer lies in the author’s ability to address advanced readers. Most of the undergraduate books on the topic present the material from an engineering point of view, but fail to accommodate the interests of upper undergraduates, graduate students, and mathematically mature readers. This book fills that gap. From a mathematical point of view, it is well known that signals and systems describe a relationship understood in terms of linear transformations on vector spaces. Most of the available books overlook the physical aspects. This book discusses the conceptual aspects of signals and systems so the reader can see how various aspects are connected in a unifying way. Even pure mathematicians will enjoy the book. One can compare it with well-known textbooks in the area [1,2].

Chapter 1 provides a theoretical background on signals and the representations needed to understand later chapters. Chapter 2 looks at the important concepts of Fourier series and integrals, and discusses their application to signal analysis.

Chapter 3 discusses the foundations of linear systems, and chapter 4 explores both single-sided and double-sided Laplace transforms. Chapter 5 features a discrete version of Fourier transforms and sampling results, while chapter 6 covers a discrete version of Laplace transforms. Finally, appendix A outlines some basic mathematics for complex variables.

This book will be useful to many researchers, graduate students, and senior undergraduate students interested in signals and systems. It can also serve as a quick reference. I recommend it to anyone working in this important area of ICT.

Reviewer:  Manish Gupta Review #: CR141960 (1405-0300)
1) Oppenheim, A. V.; Willsky, A. S.; Nawab, S. H. Signals & systems (2nd ed.). Prentice Hall, Upper Saddle River, NJ, 1997.
2) Kamen, E. W.; Heck, B. S. Fundamentals of signals and systems using the web and MATLAB (3rd ed.). Pearson, Upper Saddle River, NJ, 2007.
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