The faster-than-fast Fourier transform
For a large range of practically useful cases, MIT researchers find a
way to increase the speed of one of the most important algorithms in
the information sciences.
http://web.mit.edu/newsoffice/2012/faster-fourier-transforms-0118.html


Sparse Fast Fourier Transform
http://groups.csail.mit.edu/netmit/sFFT/


Nearly Optimal Sparse Fourier Transform
http://arxiv.org/abs/1201.2501v1


A Faster Fast Fourier Transform
http://spectrum.ieee.org/computing/software/a-faster-fast-fourier-transform


How Speeding The "Most Important Algorithm Of Our Lifetime" Could
Change This Modern World
http://www.fastcompany.com/1810522/how-speeding-most-important-algorithm-our-lifetime-could-change-modern-world


Faster-than-fast Fourier transform
http://www.techandcomputer.com/computer-science/computer-graphics/14888-faster-than-fast-fourier-transform.html



Explained: The Discrete Fourier Transform
The theories of an early-19th-century French mathematician have 
emerged from obscurity to become part of the basic language of 
engineering.
http://web.mit.edu/newsoffice/2009/explained-fourier.html

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