Fast Fourier Transform and Its Applications

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An accessible examination of the FFT great for self study.......2007-01-01

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 nothing about applications and have the student believing that "The Butterfly Element" is something he can buy an armful of at an electronics store and assemble. All developments in this book use graphical techniques and examples that insure clarity in the presentation. The book provides not only a readable introduction to the FFT but a thorough and unified reference for applying it to various fields of interest. It is great for self-study. The text is divided into five major subject areas:

1. The Fourier Transform and its properties
2. The Discrete Fourier Transform - It is developed from the continuous Fourier Transform both graphically and theoretically. Its properties are examined as are numerous waveform classes via illustrative examples. Discrete convolution and correlation are defined and compared with the continuous equivalents via examples.
3. The FFT - The FFT algorithm is developed along with an explanation of why the FFT is efficient. Computer programs are developed that can calculate the FFT.
4. Basic Applications of the FFT - Presents the application of the FFT to the computation of discrete and inverse discrete Fourier transforms. There is an emphasis on graphical examination of resolution and common FFT user mistakes such as aliasing, time domain truncation, noncausal time functions, and periodic functions. The applications examined include Laplace transform computation, discrete convolution and correlation, and two-dimensional Fourier transform convolution. Computer programs are provided.
5. Signal Processing and System FFT Applications - The design and application of digital filters using the FFT are explored. A novel application of the FFT to multichannel band-pass filtering is developed in a way that can readily be expanded by the reader.

I highly recommend this book to readers who want a complete explanation and investigation of the FFT and its applications that is clear enough for self-study.

Written with the reader in mind........2004-10-02

I think this is one of the most understandable books in signal processing that I've ever come across. I get the feeling that Brigham had been frustrated by technical texts that were poorly written, and decided he wasn't going to commit the same sin. Plenty of carefully planned illustrations designed to help the reader start from a known place, and move step-by-step to an understanding of something new. Not just a bunch of faceless equations. I think this would be an excellent college text.

Like any in-depth text dealing with a mathematically complex topic, there appear to be a number of mistakes left in to keep the reader on his/her toes. But fewer than most. I highly recommend this book, even though I'm usually a pretty tough critic. I too have been frustrated by too many poorly written books.

Very good, but be careful, though.......2003-04-22

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. I agree with the other reviewers, but I must add a note of caution - the edition I have contains some errors. They are as follows;

p155, p157 - the factors w(11) and w(10) are incorrectly placed on the butterfly diagram 10.3 and 10.4 respectively,

p166, p168, p169, equations 10-26 and most equations following to the end of the chapter - the factors R(N-n) and I(N-n) should be R(N-1-n) and I(N-1-n), respectively.

I hope I'm right about this, but the convention is that the indices are from 0 to N-1, and therefore if n=0, then N-n is N - which not an allowed index.

Apart from these sort of errors (I havn't been through the whole book with a fine toothcomb), its really very good, actually extraordinarily clear.

One of its main benefits is that it doesn't veer away from the FFT to the very complicated developments such as fractional transforms and other developments which might confuse the sort of audience it's aimed at (which is definitely the graduates).

But if you want to look deeply into FFTs for a real application you will need a lot more. I must mention,for instance, that the implementation of an FFT needs fairly careful error propagation and rounding analysis, and this isn't covered at all in the book. Neither are prime factor FFTs. In fact the chapter "FFT algorithms for arbirary factors" is only a method of factoring into powers of two, and certainly not the prime factor decomposition which was developed later by Winograd, Chuo, and others.

It must also be said that while the DCT is practically a kissing cousin of the FFT, this naturally isn't covered in this text... but neither are the finite field implementations that are now taking many peoples imaginations to faster and faster FFTS.

Also, there are jolly useful things to know about, such as the FFT when you only need a subset of the output data points. There are pruning algorithms which greatly simplify the computations.

But it's very good as a starter, I wouldn't do without my copy!

Outstanding classic.......2002-12-03

I am mainly a neurobiologist by training, but transform theory is very useful in visual neurobiology and visual psychophysics, and I've looked at and read dozens of books on various aspects of signal processing and transform theory. Much of this is surprisingly applicable to the brain science area, as the revolutionary work of David Marr and other scientists showed a quarter of a century ago.

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. My neurobiology student friends and I all got turned on to this book early in grad school, and it was a great help. I still fondly recall the many enjoyable hours we spent talking about how Fourier analysis and other techniques such as the Laplace transform, temporal modulation transfer fuction, two-dimensional convolution integrals, two-dimensional point-spread functons, filter techniques such as the finite and infinite response filters, Kalman filter, Hammond filter, and so on, could be applied to our area. And it all started with this book. It's a true classic that has never been exceeded for it's clear and concise exposition of a very important mathematical tool in both engineering and neurophysiology.

One of the best technical monographs........2001-07-12

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.

Technology Supplement for Brigham's Financial Management: Theory & Practice, 9th

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Technology Supplement for Brigham's Financial Management: Theory & Practice, 9th
Eugene F. Brigham
Manufacturer: South-Western College Pub
ProductGroup: Book
Binding: Paperback

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ASIN: 0030233720

Book Description

This print ancillary contains tutorials for five commonly used financial calculators and for Microsoft Excel, Lotus 1-2-3, and PowerPoint. The calculator tutorials cover everything a student needs to know about calculators to work the problems in the text. The spreadsheet tutorials teach students the basics plus some advanced spreadsheet features, and they prepare students to work with the specific finance models provided in the Tool Kits and Mini Case models. Finally, the PowerPoint tutorial is useful to students who must make presentations or to instructors who want to make slides for use in their lectures.

Amiga helps education professors turn dreams into reality.: An article from: T H E Journal (Technological Horizons In Education)

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Amiga helps education professors turn dreams into reality.: An article from: T H E Journal (Technological Horizons In Education)

Manufacturer: T.H.E. Journal, LLC
ProductGroup: Book
Binding: Digital

Book Description

This digital document is an article from T H E Journal (Technological Horizons In Education), published by T.H.E. Journal, LLC on February 1, 1993. The length of the article is 1040 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

From the supplier: Brigham Young University Professor Ed Green is the creator of a series of innovative multimedia courses on a variety of subjects. The courses are made up of collections of computer disks, videotape and newsprint 'text booklets,' which are integrated with a Commodore Business Machine Inc's Amiga computer system and CDTV player. Students have the option of taking videocassettes home to review lessons or move ahead of the class, if appropriate. Courses developed include algebra, geography, education and some special private projects for corporate and government clients. Professor Green also has helped the local high school district to win a grant to develop a networked Amiga/CDTV interactive learning system, and has established a center for multimedia training for teachers.

Citation Details
Title: Amiga helps education professors turn dreams into reality.
Publication: T H E Journal (Technological Horizons In Education) (Refereed)
Date: February 1, 1993
Publisher: T.H.E. Journal, LLC
Volume: v20 Issue: n7 Page: p40(2)

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Box Furniture
Louise Brigham
Manufacturer: Fredonia Books (NL)
ProductGroup: Book
Binding: Paperback

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ASIN: 1410101703

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Originally published in 1910, this unusual book is about making furniture by hand using old boxes and crates. From the author's preface: "Two summers on the island of Spitzbergen taught me, more than all previous experiments, the latent possibilities of a box. Our camp was located seven hundred miles north of the Arctic Circle; Hammerfest, Norway, 535 miles to the southeast, was the nearest point from which supplies could be obtained. Ice and snow cut off the settlement from the outside world for eight months of the year. The provisions and other equipment necessary for the camp of eighty miners and workmen had to be carried in boxes on the ships that came from the mainland during the four summer months. When the portable house which was to be the home of the manager, his wife, and myself as their guest, had been put up and the supplies unpacked, the boxes began to accumulate. ... No lumber was available in Spitzbergen. ... cut off from materials the possibilities of the box seemed greater than ever, and the work, which daily grew in interest, commenced. As I worked in that far-off marvelous land of continuous day, surrounded by mountains and glaciers, I felt anew the truth, so familiar to all, that work to be of real value must be honest, useful, and beautiful..." With instructions on how to make 100 different items of useful furniture from boxes and cargo crates; including jardiniere, plant box, footstool, clock case, wall rack, washstand, bookcases, desk, game table, umbrella stand, nursery table, picture frames, corner seats, etc. etc.

BYU-Hawaii staff and students exploit WordPerfect's Internet features. (Brigham Young University)(Applications) (Company Operations): An article from: ... (Technological Horizons In Education)

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BYU-Hawaii staff and students exploit WordPerfect's Internet features. (Brigham Young University)(Applications) (Company Operations): An article from: ... (Technological Horizons In Education)

Manufacturer: T.H.E. Journal, LLC
ProductGroup: Book
Binding: Digital

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Book Description

This digital document is an article from T H E Journal (Technological Horizons In Education), published by T.H.E. Journal, LLC on August 1, 1997. The length of the article is 740 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

From the supplier: Brigham Young University (BYU)-Hawaii relies on WordPerfect products to help afford many of its 2,200 students and 500 faculty and staff members with cutting-edge technological support. BYU-Hawaii's head of computer support, Lei Cummings, maintains that WordPerfect's familiarity, ease-of-use and nice features prompt approximately 70% of the university's faculty and staff to use it. Cummings also claims that Corel's excellent educational discounts have persuaded BYU-Hawaii to remain as loyal WordPerfect customers for at least 10 to 15 years. Cummings asserts that BYU-Hawaii instructors are employing WordPerfect's HTML translation capabilities to provide students with increased Web content. The university's Religion Department secretary, Anna Kaanga, uses WordPerfect for labels, merging tables and fonts. The Physical Plant's supervisor, Judd Whetten, has applied the suite's merge feature to create a standard information template.

Citation Details
Title: BYU-Hawaii staff and students exploit WordPerfect's Internet features. (Brigham Young University)(Applications) (Company Operations)
Publication: T H E Journal (Technological Horizons In Education) (Refereed)
Date: August 1, 1997
Publisher: T.H.E. Journal, LLC
Volume: v25 Issue: n1 Page: p38(1)

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Centers of Excellence: top breakthrough technologies. (Utah's Centers of Excellence Program expedites transfer of technology from research to the marketplace, ... research): An article from: Utah Business

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Centers of Excellence: top breakthrough technologies. (Utah's Centers of Excellence Program expedites transfer of technology from research to the marketplace, ... research): An article from: Utah Business
Elizabeth T. Walker
Manufacturer: American Diversified Publishing Company, Inc.
ProductGroup: Book
Binding: Digital

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Book Description

This digital document is an article from Utah Business, published by American Diversified Publishing Company, Inc. on March 1, 1992. The length of the article is 2562 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

Citation Details
Title: Centers of Excellence: top breakthrough technologies. (Utah's Centers of Excellence Program expedites transfer of technology from research to the marketplace, creating 2,000 skilled jobs and 50 companies in six years in areas such as computer software, genetic research, waste management, producing low-fat meat, drought-resistant crop development and dairy products extended shelf-life research)
Author: Elizabeth T. Walker
Publication: Utah Business (Magazine/Journal)
Date: March 1, 1992
Publisher: American Diversified Publishing Company, Inc.
Volume: v5 Issue: n2 Page: p14(6)

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Financial Management: Technology Supplement to Accompany

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Financial Management: Technology Supplement to Accompany
Brigham University , Louis C. Gapenski , and Eugene F. Brigham
Manufacturer: Dryden Press
ProductGroup: Book
Binding: Paperback

Improving the computer literacy of preservice teachers. (includes related articles on response of Brigham Young University physical education preservice ... of Physical Education, Recreation & Dance

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Improving the computer literacy of preservice teachers. (includes related articles on response of Brigham Young University physical education preservice ... of Physical Education, Recreation & Dance
Carol Wilkinson , Richard F. Hillier , and Joyce M. Harrison
Manufacturer: American Alliance for Health, Physical Education, Recreation and Dance (AAHPERD)
ProductGroup: Book
Binding: Digital

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This digital document is an article from JOPERD--The Journal of Physical Education, Recreation & Dance, published by American Alliance for Health, Physical Education, Recreation and Dance (AAHPERD) on May 1, 1998. The length of the article is 2977 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

From the supplier: The advent of computers, the Internet and other technology and the rapid, constant introduction of high-tech innovations has daunted many students and teachers who are not quite sure what and where to begin learning in relation to these sophisticated tools. Brigham Young University has developed a technology course for physical education preservice students that would enable the participants to select good software, use the Internet's World Wide Web and Netscape and design and develop their own Web pages. The mechanics of the course are presented.

Citation Details
Title: Improving the computer literacy of preservice teachers. (includes related articles on response of Brigham Young University physical education preservice students to physical education web site and their rating of technology course)
Author: Carol Wilkinson
Publication: JOPERD--The Journal of Physical Education, Recreation & Dance (Refereed)
Date: May 1, 1998
Publisher: American Alliance for Health, Physical Education, Recreation and Dance (AAHPERD)
Volume: v69 Issue: n5 Page: p10(5)

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Leucaena as a feed component for white-tailed deer.(Statistical Data Included): An article from: The Texas Journal of Science

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Leucaena as a feed component for white-tailed deer.(Statistical Data Included): An article from: The Texas Journal of Science
Brigham A. Mason , Kendall W. White , Tyler A. Campbell , and David G. Hewitt
Manufacturer: Texas Academy of Science
ProductGroup: Book
Binding: Digital

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This digital document is an article from The Texas Journal of Science, published by Texas Academy of Science on November 1, 2001. The length of the article is 2778 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

Citation Details
Title: Leucaena as a feed component for white-tailed deer.(Statistical Data Included)
Author: Brigham A. Mason
Publication: The Texas Journal of Science (Refereed)
Date: November 1, 2001
Publisher: Texas Academy of Science
Volume: 53 Issue: 4 Page: 369(6)

Article Type: Statistical Data Included

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Ornamental Waterfowl: A Guide to Keeping and Breeding

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Ornamental Waterfowl: A Guide to Keeping and Breeding
Richard Brigham
Manufacturer: Blandford
ProductGroup: Book
Binding: Hardcover

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ASIN: 0713721871

Book Description

This is a long-overdue study of Sir Frederick H. Sykes, Chief of the Air Staff of Britain's Royal Air Force (RAF) during the First World War. Historians, for the most part, have either overlooked Sykes or misinterpreted him, leaving a gap in the story of British flying. Contrary to previous images of Sykes, we now see that he was not a secretive intriguer or a tangential subject in RAF history. Rather, he played a fundamental part in organizing and leading British aviation from 1912 to the end of 1918. He provided organization, visionary guidance and efficient administrative control for the fledgling service that tried to survive infancy in the heat of battle.

Sykes assumed command of the Air Staff immediately after the RAF's birth - on April 1 1918 - at a critical time, when the German spring offensives were about to split the French and British defensive lines and cause an Allied defeat. Sykes stepped in to quell organizational and bureaucratic fires by working harmoniously with the Air Minister, Lord Weir. Together they maintained control of the air service and established a strategic Independent Air Force prepared to bomb Berlin by the time the Armistice was signed on 11 November 1918. Sykes battled against fellow airmen, military traditionalists and French commanders to promote an incipient air revolution in warfare by instituting 'air-minded' use of new technologies to economize on manpower and apply air power tactically, strategically and independently from the inefficient army and navy competitive control that had plagued the air services. From the reconnaissance of 1914 to the devastating precision attacks of Desert Storm in the 1991 Gulf War, aircraft have transformed the modern battlefield. As this book shows, Sykes was important to that revolutionary process.

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Rounding up all the usual suspects (Benjamin Franklin to Mary Karr) as well as some once-popular authors now criminally neglected (Ulysses S. Grant, Lucy Larcom), editor Jay Parini has assembled 62 entries that amply attest to both the diversity of American autobiography and its essential coherence. It's been a long two and a half centuries from the majestic, near-biblical cadences of Jonathan Edwards's chronicle of his striving towards God to the intimate (some might say whiny) tone in which Elizabeth Wurtzel examines her generation's reliance on friends to heal the wounds inflicted by family. But both of these writers and most of those in between delineate a very American process of self-discovery and enlightenment. Parini manages to represent most of the genre's important contributors: African Americans (including W.E.B. Du Bois and Malcolm X); women (from Elizabeth Cady Stanton to Terry Tempest Williams); nature writers (Thoreau, of course, and Annie Dillard); and today's nothing-is-off-limits confessors (Caroline Knapp on booze, Paul Monette on AIDS). Those readers who are familiar with the books from which most of these pieces are excerpted may find their brevity frustrating, but Parini has gone for breadth rather than depth. Consider this a collection of tasty hors d'oeuvres designed to whet individual readers' appetites for full-course offerings from the chefs they find most appealing. --Wendy Smith

Book Description

From Mary Rowlandson's story of her capture by Indians in the mid-seventeenth century to Mary Paik Lee's story of being a pioneer Korean woman in America at the beginning of the twentieth century, the autobiographical form has provided our most vivid, intimate glimpses of daily American life and self-understanding. In this groundbreaking anthology, respected writer and critic Jay Parini brings together an abundant selection from over three centuries of "the democratic voice . . . discovering itself." Here are the voices of the Founding Fathers and African American slaves; of transcendentalists and suffragists; of ancestors such as Frederick Douglass, Harriet Jacobs, Mark Twain, Henry James, Helen Keller, Zora Neale Hurston, Gertrude Stein, Ernest Hemingway, James Baldwin, and many others; and of a wide range of contemporaries, including Maxine Hong Kingston, Gore Vidal, Julia Alvarez, and Mark Doty. The rich, continuous influence of autobiographical writing in our culture is clear, and as memoirs continue to fascinate readers, this invaluable anthology provides an essential guide to our foremost American literary tradition.

Customer Reviews:

Great introduction to other worlds.......2002-12-27

I bought this book because I was interested in the autobiography. I had just finished reading a few "shorts" in different anthologies, and I decided to do a search to see if there was anything larger out there. I found The Norton Book of American Autobiography and was pleased. I just finished this massive 711 paged book, and I would recommend it to anyone who's just interested in other people's lives. There are some stand-out writers included (Malcolm X, Benjamin Franklin, etc.), but also some contemporary writers as well (Julia Alvarez, Caroline Knapp, Paul Monette, etc.). This is a great book to read on your own, but I can really see it benefiting a lit. class at the same time.

Autobiography as Literature.......1999-02-18

Autobiography isn't always just the blathering of B-list celebrities. Much of it is some of the finest American literature ever produced. Some say Americans are egotistical and self-involved. Well, fine, maybe so, but it makes for great autobiography. And the informative and literary life synopsi (synopsises?) make for great reading by themselves!!! Huzzah to the editor and his minions!!!

The Norton Book of American Autobiography

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The Norton Book of American Autobiography
Jay (editor) Parini
Manufacturer: W. W. Norton & Company, Incorporated
ProductGroup: Book
Binding: Hardcover
ASIN: B000P1U9T6

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