Fast Fourier Transform and Its Applications [Paperback]

E. Brigham (Author)

Book Description

ISBN-10: 0133075052 | ISBN-13: 978-0133075052 | Publication Date: April 8, 1988 | Edition: 1st

The Fast Fourier Transform (FFT) is a mathematical method widely used in signal processing. This book focuses on the application of the FFT in a variety of areas: Biomedical engineering, mechanical analysis, analysis of stock market data, geophysical analysis, and the conventional radar communications field.

Editorial Reviews

From the Publisher

This book addresses the Fast Fourier Transform (FFT) from the definition of this powerful analytic tool for signal processing through to applications.

Product Details

• Paperback: 448 pages
• Publisher: Prentice Hall; 1st edition (April 8, 1988)
• Language: English
• ISBN-10: 0133075052
• ISBN-13: 978-0133075052
• Product Dimensions: 9 x 6 x 1.2 inches
• Shipping Weight: 1.4 pounds (View shipping rates and policies)
• Average Customer Review: 4.9 out of 5 stars  See all reviews (15 customer reviews)
• Amazon Best Sellers Rank: #724,868 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

32 of 32 people found the following review helpful:

5.0 out of 5 stars A Great Introduction to the FFT & How to Use It, March 13, 2001

By 

Elderbear (Loma Linda, Aztlan) - See all my reviews
(VINE VOICE)   

This review is from: Fast Fourier Transform and Its Applications (Paperback)

Fourier transforms used to scare me. I got brain-lock, and couldn't even use them effectively in a package like Matlab or IDL. I got lost in integrals and delta functions and found myself rapidly sinking into mathematical quicksand. Evoking qliphotic demons from within a pentagram of power would have been simpler and less arcane.

Then along came Brigham. Although his book had all the gnarly math of any other Fourier transform explanation I had ever seen, he also drew diagrams--diagrams which allowed me to "get" what the language of mathematics had so clearly expressed. All of a sudden the integrals were tamed. I wasn't in quicksand, just a damp sidewalk at Adventureland, waiting for the Jungle Cruise.

And that was just the first couple of chapters! Brigham quickly moved into transform theory, applying the Fourier integral to convolution and correlation. Then into sampled waveforms and the discrete Fourier transform and its applications.

Finally, he presented the Fast Fourier Transform. Once again, he clarifies without obfuscating. I found the FFT moving from the hyper-arcane to the land of "Well, duh!" (Beware: The actual FFT code included is not particularly efficient. Find source code for implementation *elsewhere*.) He extends the FFT to convolution and correlation, as well as to two dimensions. He doesn't skimp on applications, either. He clarifies interferometry, time-difference-of-arrival, power spectrum analysis, and beamforming.

If you're not a signal processing wonk already, read this book. You may find it a powerful cure for DSP-phobia.

22 of 22 people found the following review helpful:

5.0 out of 5 stars This is my favorite FFT reference., December 22, 1998

By 

[e-mail] (Orlando, Florida; USA) - See all my reviews

This review is from: Fast Fourier Transform and Its Applications (Paperback)

I used the book to teach a Fourier Transform course for fellow engineers at Lockheed Martin. I taught straight from the book and only included some of my own personal FFT applications. The book gives a development of Fourier Transform & Series Fourier Transform, along with practical knowledge on how to apply them, and also gives numerous application at various level of difficulty. This is my favorite FFT reference. I'm still studying some of the applications in the last three chapters. I like the author's figures for showing the convolution integral using Fourier Transforms. All the concepts were shown graphical with figures. The publisher needs to print this book in hard back since I used my paper back edition so much that its coming apart.

I also would recommend "Fourier-Related Transforms, Fast Algorithms and Applications" by Norman Morrison and "Introduction to Fourier Analysis" by Okan Ersoy as good academic references but lacked the application focus I was looking for.

12 of 12 people found the following review helpful:

5.0 out of 5 stars One of the best technical monographs., July 11, 2001

By 

marcvg "marcvg" (MA USA) - See all my reviews

This review is from: Fast Fourier Transform and Its Applications (Paperback)

I'm delighted to see that Brigham's book is in print. (I bought my first copy 20 years ago!) I'm planning to use as part of a course on signal processing. I've read several books on FT's and this is the best. It is one of the few technical books whose presentation is genuinely complete and clear. For example, the relationships between the discrete and the continuous FT, the role of the convolution integral, and the Nyquist theorem are presented logically with both algebraic proofs and graphical explanations. I'm always on the look out for monographs that focus on one subject and make you feel like you've become an expert on it when you're through. This fits the bill.