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Fast Fourier Transform and Its Applications 1st Edition
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Top Customer Reviews
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.
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.
But getting back to the present book, this is one of the best books I've read in the signal analysis area. Brigham's presentation of various aspects of the FT, including the continuous FT, digital FT, convolution integrals, and so on, is clear and concise, whether he's discussing theory or applications. Also, his disussion of the Nyquist sampling theorem is the best and easiest to understand I've read.
Interestingly, this theorem has quite practical applications, not just in digital sample theory, but in real life. According to the Nyquist theorem, no information is lost in converting from analog to digital form if the sampling frequency is twice that of the highest frequency in the signal. Well, have you ever used those audio headphones they have on commercial jetliners? The Nyquist theorem means they can switch the audio outputs at high frequency using well-known time-domain switching techniques rather than run copper to each passenger's seat. I've read that this saves 300 pounds of copper wire in a typical plane, the weight savings of which can of course be more profitably used for transporting other things. If you consider that 300 pounds is about the weight of your average couple, you can see how the savings would add up after even a few flights.
But getting back to the book, I first encountered this work 20 years ago, and I'm delighted to see it's still around.Read more ›
Most Recent Customer Reviews
I got this book as a gift by helping one of the faculty members load some books in his truck and I am cherishing that moment every bit. All I have to say is ... Read morePublished on December 23, 2008 by Rasul Noaman
This book provides excellent intuition into the fourier transform, discrete fourier transform, and fast fourier transform. Read morePublished on July 29, 2008 by Jordan McBain
I purchased the first edition of this book way back on January 10, 1975, when I was young design engineer, just breaking into the Digital Signal Processing business. Read morePublished on May 31, 2008 by Richard N
This book is not just another terse math or signal processing book. It tries to provide an alternative to standard DSP techniques that develop the FFT adequately enough, but show... Read morePublished on January 1, 2007 by calvinnme
I think this is one of the most understandable books in signal processing that I've ever come across. Read morePublished on October 1, 2004 by DSPGuy
The book I have is ISBN 0-13-307496. It was published in 1974.
I am very happy about this book, I first read it in 1979 when I was 19, and I found it really marvellous. Read more
This book is great, its concepts are in both mathmatical and intuitive forms. The graphical approach makes it easy to understand yet you still get the equations for actual... Read morePublished on May 11, 2001 by matt yenn