Understanding Digital Signal Processing (Hardcover)

by Richard G. Lyons (Author)

Editorial Reviews

Product Description
Gives the tools needed to develop a fundamental understanding of DSP theory, using intuitive explanations and well chosen examples. Contains a collection of tricks-of-the-trade used by professionals to make DSP algorithms more efficient. DLC: Signal processing.

From the Inside Flap
Learning Digital Signal Processing

Learning the fundamentals, and how to speak the language, of digital signal processing does not require profound analytical skills or an extensive background in mathematics. All you need is a little experience with elementary algebra, knowledge of what a sinewave is, this book, and enthusiasm. This may sound hard to believe, particularly if you've just flipped through the pages of this book and seen figures and equations that appear rather complicated. The content here, you say, looks suspiciously like the material in technical journals and textbooks, material that is difficult to understand. Well, this is not just another book on digital signal processing.

This book's goal is to gently provide explanation followed by illustration, not so that you may understand the material, but that you must understand the material "Here we have the opportunity of expounding more clearly what has already been said" (Rene Descartes).

Remember the first time you saw two people playing chess? The game probably appeared to be mysterious and confusing. As you now know, no individual chess move is complicated. Given a little patience, the various chess moves are easy to learn. The game's complexity comes from deciding what combinations of moves to make and when to make them. So it is with understanding digital signal processing. First we learn the fundamental rules and processes and, then, practice using them in combination.

If learning digital signal processing is so easy, then why does the subject have the reputation of being difficult to understand? The answer lies partially in how the material is typically presented in the literature. It's difficult to convey technical information, with its mathematical subtleties, in written form. It's one thing to write equations, but it's another matter altogether to explain what those equations really mean from a practical standpoint, and that's the goal of this book.

Too often, written explanation of digital signal processing theory appears in one of two forms: either mathematical miracles occur and you are simply given a short and sweet equation without further explanation, or you are engulfed in a flood of complex variable equations and phrases such as "it is obvious that," "such that W(f) is greater than or equal to 0 å f," and "with judicious application of the homogeneity property." Authors usually do provide the needed information, but, too often, the reader must grab a pick and shovel, put on a miner's helmet, and try to dig the information out of a mountain of mathematical expressions. (This book presents the results of several fruitful mining expeditions.) How many times have you followed the derivation of an equation, after which the author states that he or she is going to illustrate that equation with a physical example-and this turns out to be another equation? Although mathematics is necessary to describe digital signal processing, I've tried to avoid overwhelming the reader because a recipe for technical writing that's too rich in equations is hard for the beginner to digest.

The intent of this book is expressed in a popular quote from E. B. White in the introduction of his Elements of Style (New York: Macmillan Publishing, 1959):

Will (Strunk) felt that the reader was in serious trouble most of the time, a man floundering in a swamp, and that it was the duty of anyone attempting to write English to drain the swamp quickly and get his man up on dry ground, or at least throw him a rope.

I've attempted to avoid the traditional instructor-student relationship, but, rather, to make reading this book like talking to a friend while walking in the park. I've used just enough mathematics to develop a fundamental understanding of the theory, and, then, illustrate that theory with examples.

The Journey

Learning digital signal processing is not something you accomplish; it's a journey you take. When you gain an understanding of some topic, questions arise that cause you to investigate some other facet of digital signal processing. Armed with more knowledge, you're likely to begin exploring further aspects of digital signal processing much like those shown in the following diagram. This book is your tour guide during the first steps of your journey.

You don't need a computer to learn the material in this book, but it would help. Digital signal processing software allows the beginner to verify signal processing theory through trial and error. "One must learn by doing the thing; for though you think you know it, you have no certainty until you try it" (Sophocles). In particular, software routines that plot signal data, perform the fast Fourier transform, and analyze digital filters would be very useful.

As you go through the material in this book, don't be discouraged if your understanding comes slowly. As the Greek mathematician Menaechmus curtly remarked to Alexander the Great, when asked for a quick explanation of mathematics, "There is no royal road to mathematics." Menaechmus was confident in telling Alexander that the only way to learn mathematics is through careful study. The same applies to digital signal processing. Also, don't worry if you have to read some of the material twice. While the concepts in this book are not as complicated as quantum physics, as mysterious as the lyrics of the song "Louie Louie," or as puzzling as the assembly instructions of a metal shed, they do get a little involved. They deserve your attention and thought. So go slow and read the material twice if you have to; you'll be glad you did. If you show persistence, to quote a phrase from Susan B. Anthony, "Failure is impossible."

Coming Attractions

Chapter 1 of this book begins by establishing the notation used throughout the remainder of our study. In that chapter, we introduce the concept of discrete signal sequences, show how they relate to continuous signals, and illustrate how those sequences can be depicted in both the time and frequency domains. In addition, Chapter 1 defines the operational symbols we'll use to build our signal processing system block diagrams. We conclude that chapter with a brief introduction to the idea of linear systems and see why linearity enables us to use a number of powerful mathematical tools in our analysis.

Chapter 2 introduces the most frequently misunderstood process in digital signal processing, periodic sampling. Although it's straightforward to grasp the concept of sampling a continuous signal, there are mathematical subtleties in the process that require thoughtful attention. Beginning gradually with simple examples of low-pass sampling and progressing to the interesting subject of bandpass sampling, Chapter 2 explains and quantifies the frequency-domain ambiguity (aliasing) associated with these important topics. The discussion there highlights the power and pitfalls of periodic sampling.

Chapter 3 is devoted to one of the foremost topics in digital signal processing, the discrete Fourier transform (DFT). Coverage begins with detailed examples illustrating the important properties of the DFT and how to interpret DFT spectral results, progresses to the topic of windows used to reduce DFT leakage, and discusses the processing gain afforded by the DFT. The chapter concludes with a detailed discussion of the various forms of the transform of rectangular functions that the beginner is likely to encounter in the literature. That last topic is included there to clarify and illustrate the DFT of both real and complex sinusoids.Chapter 4 covers the innovation that made the most profound impact on the field of digital signal processing, the fast Fourier transform (FFT). There we show the relationship of the popular radix-2 FFT to the DFT, quantify the powerful processing advantages gained by using the FFT, demonstrate why the FFT functions as it does, and present various FFT implementation structures. Chapter 4 also includes a list of recommendations to help us when we use the FFT in practice.

Chapter 5 ushers in the subject of digital filtering. Beginning with a simple low-pass finite impulse response (FIR) filter example, we carefully progress through the analysis of that filter's frequency-domain magnitude and phase response. Next we learn how window functions affect and can be used to design FIR filters. The methods for converting low-pass FIR filter designs to bandpass and highpass digital filters are presented, and the popular Remez Exchange (Parks McClellan) FIR filter design technique is introduced and illustrated by example. In that chapter we acquaint the reader with, and take the mystery out of, the process called convolution. Proceeding through several simple convolution examples, we conclude Chapter 5 with a discussion of the powerful convolution theorem and show why it's so useful as a qualitative tool in understanding digital signal processing.

Chapter 6 introduces a second class of digital filters, infinite impulse response (IIR) filters. In discussing several methods for the design of IIR filters, the reader is introduced to the powerful digital signal processing analysis tool called the z-transform.

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Product Details

• Hardcover: 544 pages
• Publisher: Pearson Education; 1st edition (November 6, 1996)
• Language: English
• ISBN-10: 0201634678
• ISBN-13: 978-0201634679
• Product Dimensions: 9.5 x 6.5 x 1.2 inches
• Shipping Weight: 2 pounds
• Average Customer Review: 4.8 out of 5 stars See all reviews (66 customer reviews)
• Amazon.com Sales Rank: #472,730 in Books (See Bestsellers in Books)

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Customer Reviews

Most Helpful Customer Reviews

25 of 25 people found the following review helpful:

5.0 out of 5 stars Not Just Another Textbook!, August 26, 2000

By	Brian Morse, 1LT, US Army Signal Corps (Wuerzburg, Germany) - See all my reviews

I just received this book in the mail yesterday and haven't been able to put it down! This is the first review I have ever written but I wanted to express my thanks to the author for this book while also letting others know what a great resource it is.

This book is an excellent source for engineers seeking familiarity with DSP. I'm an Army officer trying to prepare for civilian employment in DSP design, and it has been over 4 years since I graduated with a degree in electrical engineering. Until opening this book I had no exposure to engineering since graduation, but I had no trouble understanding the material presented in this amazing book. Mr. Lyons says it all in the following quote from the preface:

"It's one thing to write equations, but it's another matter altogether to explain what those equations really mean from a practical standpoint, and that's the goal of this book."

This book is simply the best-written textbook I have ever encountered, in fact some fictional novels I have read are less engaging than this book! Mr. Lyons discusses very technical concepts clearly and fully, requiring only moderate effort on the part of the reader to fully grasp the material. He also includes occasional historical references or quotes that I found very entertaining, such as the origin of the word 'analog' as it relates to digital systems.

I took two basic courses in signal processing in college, basically manipulating formulas and drawing pictures with no real understanding of what was actually happening. In just two hours of studying Chapter 2, Periodic Sampling, I developed an intuitive understanding of sampling theory, lowpass and bandpass sampling. These topics were merely abstractions in my mind after intense study and several one-on-one sessions with my professor at a challenging technical college! Wonderfully intuitive yet thorough treatment of a complicated subject, Mr. Lyons.

A word of warning - this book is definitely intended for engineers. Treat it like a college course with a prerequisite of basic signal analysis and electrical systems knowledge, along with a working knowledge of engineering mathematics, and you can't go wrong.

22 of 22 people found the following review helpful:

5.0 out of 5 stars Gentle introduction to DSP, October 9, 2005

By	calvinnme "Texan refugee" (Fredericksburg, Va) - See all my reviews (TOP 10 REVIEWER)

This review is from: Understanding Digital Signal Processing (2nd Edition) (Hardcover)

If you are considering studying digital signal processing for the first time, I would strongly suggest studying this book in conjunction with the Schaum's outline on digital signal processing, and then going on to a more formal text, such as "Digital Signal Processing: Principles, Algorithms and Applications" by Proakis. This book uses and explains the required background mathematics, with instructive diagrams shown throughout. The author also bothers to explain to the reader the "whys" of digital signal processing. For example, the book even takes the time to explain to the reader the reason that you would want to filter digitally in the first place. All of the basics are covered, including the discrete Fourier Transform, Finite and Infinite Impulse Response filters, the Fast Fourier Transform, and a unique chapter on digital signal processing tricks including data windowing tricks, frequency translation without multiplication, and real-time DC removal. Particularly helpful is that filter design methods are broken down algorithmically into numbered steps with the associated equations. Complete design examples of these methods are also shown to hammer home the concept. Throughout the book, the author assumes the audience is an engineer that, in the end, wants to use this information to build something useful, not to sit through one derivation after another.

19 of 19 people found the following review helpful:

5.0 out of 5 stars The Best DSP book for beginner, February 23, 2004

By	Julius Caesar (United States) - See all my reviews

Have you ever tried to study DSP but get intimidated with all the math equations and cryptic explanations?! With Lyons' book, you are not going to have these problems. Lyons' beautifully explains DSP "concept" without going to unnecessary mathematical details. There is still a lot of math in this book, but all of them is presented from practical point of view and only when needed. It teaches you enough basic DSP so when you need to learn advanced DSP concept from other books, you won't be intimidated!