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Understanding the FFT, Second Edition, Revised [Paperback]

Anders E. Zonst (Author)
3.7 out of 5 stars  See all reviews (3 customer reviews)

Price: $29.95 & this item ships for FREE with Super Saver Shipping. Details
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Book Description

April 30, 2000
Citrus Press is proud to announce the second edition (revised) of Andy Zonst's Understanding the FFT (publication date April 2000). This edition is much more than just a "cleanup" of the original text - two completely new chapters have been added. The first of these deals with the conventional FFT (i.e., scrambled data and bit reversal) and the second is an introduction to the mathematical procedure known as convolution. The conventional FFT offers certain advantages (primarily more efficient use of RAM, allowing larger arrays to be processed); but, beyond that, if one wants to work in this field, they need to be conversant with this "standard" technology (even if they never use it).

The chapter on convolution is perhaps even more important. This technique is such an integral part of Fourier analysis that a chapter (presenting it at the same level as the other material in the book) seemed very nearly imperative. There can be no doubt that it is a better book because of these revisions, and the claim still holds that, for anyone who wants to understand and use this tool known as the FFT, this book is the best place to start.


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Editorial Reviews

Review

Many engineers, technicians and students are familiar with Fourier analysis and the DFT and, while they know about the fantastic things this technology can do, they are thwarted in their attempts to use these tools because of the advanced level at which the FFT is usually presented. This book explains the FFT and the software at a level that can be handled by advanced high school students and above. -- From the publisher --This text refers to an out of print or unavailable edition of this title.

From the Publisher

Part I presents an introduction to (or review of) the discrete Fourier transform (DFT) and Part II is a detailed presentation of the fast Fourier transform (FFT). While this is primarily a tutorial on writing FFT programs, it necessarily develops the function and purpose of the DFT, as well as the underlying algorithm for the FFT. Written at a level that can be handled by advanced high-school students, the material will obviously be accessible to undergraduates as well as practicing engineers and programmers. For instructional purposes the programs are written in low level BASIC language, but the emphasis is placed on the function of each routine (with a detailed description of each line of code) so that readers may easily convert/write these programs in the language of their choice. In presenting the practical considerations of writing FFT programs the author has employed a technique of data management that avoids much of the confusion surrounding this technology. In this second edition a chapter has been added to deal with these difficulties i.e., data "scrambling" and "bit reversal." Finally, a chapter on convolution has been added since, apparently, this is something of a stumbling block for students and users alike.

Product Details

  • Paperback: 180 pages
  • Publisher: Citrus Pr; 2 Revised edition (April 30, 2000)
  • Language: English
  • ISBN-10: 0964568152
  • ISBN-13: 978-0964568150
  • Product Dimensions: 8.5 x 5.5 x 0.5 inches
  • Shipping Weight: 8 ounces (View shipping rates and policies)
  • Average Customer Review: 3.7 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #1,033,857 in Books (See Top 100 in Books)

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6 of 6 people found the following review helpful:
5.0 out of 5 stars An Excellent Reference, March 20, 2007
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This review is from: Understanding the FFT, Second Edition, Revised (Paperback)
I bought this book to gain a practical understanding of Fourier Transforms and how to implement them with real data. I already had a conceptual understanding of FTs but not a practical one to where I could use them. This book bridged that gap for me and it seems as though that was among the author's intentions were when he wrote it. I would recommend this book and its companion to anyone in the same position.
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9 of 11 people found the following review helpful:
5.0 out of 5 stars I've been looking for a book like this for 10 years, March 30, 2003
By 
Neil S. Rieck "Neil Rieck" (Kitchener/Waterloo, Ontario, Canada.) - See all my reviews
(REAL NAME)   
This review is from: Understanding the FFT, Second Edition, Revised (Paperback)
This book contains all the necessary info to obtain a working knowledge of DFT and FFT. It contains many GWBASIC example programs so the reader can get a good grasp of what the algorithms are supposed to do. "C" progammers would have no difficulty rewitting these algorithms in "C".
Notes:
(1) most GWBASIC programs run without modification under QBASIC.
(2) the ones that don't run under QBASIC contain graphics statements and are easily fixed using QBASIC help.
(3) if you hate to enter source code, the software is available on diskette from the publisher for a small fee ...(includes GWBASIC and QBASIC examples)
(4) I've discovered "BASIC programmer" web sites where both GWBASIC and QBASIC are available for free download.
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9 of 16 people found the following review helpful:
1.0 out of 5 stars I was sorry I bought this book., April 15, 2005
By 
Paul Lowery (Saint Paul, MN United States) - See all my reviews
This review is from: Understanding the FFT, Second Edition, Revised (Paperback)
I needed to learn some basics about the DFT and FFT. "Understanding the FFT" seemed to be loaded with computer programs. I found very little to help me learn the concepts. "Who Is Fourier? A Mathematical Adventure" by the Transnational College of Lex and "Introduction to Fourier Analysis" by Norman Morrison where the books that helped me the most.
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Inside This Book (learn more)
First Sentence:
It has been said that a good definition first throws the thing to be defined into a very large pool (i.e., a very broad category) and then pulls it out again (i.e., describes the unique characteristics that differentiate it from the other members of that category). Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
stretching theorem, odd data points, twiddle factor table, partial transforms, convolving function, twiddle factors, input data array, component triangle, time domain function, latent components, frequency domain function, zero frequency component, forward transform, frequency domain data, time domain data, bit reversal, data position, domain convolution
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Shifting Theorem, Test Width
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