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The Sparse Fourier Transform

The Sparse Fourier Transform

Hardcover

Series: ACM Books

CalculusGeneral ComputersProgramming

ISBN10: 1947487078
ISBN13: 9781947487079
Publisher: Association for Computing Machinery
Published: Feb 27 2018
Pages: 279
Weight: 1.53
Height: 0.69 Width: 7.50 Depth: 9.25
Language: English

The Fourier transform is one of the most fundamental tools for computing the frequency representation of signals. It plays a central role in signal processing, communications, audio and video compression, medical imaging, genomics, astronomy, as well as many other areas. Because of its widespread use, fast algorithms for computing the Fourier transform can benefit a large number of applications. The fastest algorithm for computing the Fourier transform is the Fast Fourier Transform (FFT), which runs in near-linear time making it an indispensable tool for many applications. However, today, the runtime of the FFT algorithm is no longer fast enough especially for big data problems where each dataset can be few terabytes. Hence, faster algorithms that run in sublinear time, i.e., do not even sample all the data points, have become necessary.

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