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» Simple and practical algorithm for sparse Fourier transform
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4675views
15 years 4 months ago
Mathematics of The Discrete Fourier Transform (DFT) with Audio Applications
"The Discrete Fourier Transform (DFT) can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, which is the ...
Julius O. Smith III
ICASSP
2010
IEEE
13 years 7 months ago
Learning sparse systems at sub-Nyquist rates: A frequency-domain approach
We propose a novel algorithm for sparse system identification in the frequency domain. Key to our result is the observation that the Fourier transform of the sparse impulse respo...
Martin McCormick, Yue M. Lu, Martin Vetterli
STOC
2006
ACM
244views Algorithms» more  STOC 2006»
14 years 7 months ago
Approximate nearest neighbors and the fast Johnson-Lindenstrauss transform
We introduce a new low-distortion embedding of d 2 into O(log n) p (p = 1, 2), called the Fast-Johnson-LindenstraussTransform. The FJLT is faster than standard random projections ...
Nir Ailon, Bernard Chazelle
CAIP
1999
Springer
145views Image Analysis» more  CAIP 1999»
13 years 11 months ago
Optimized Fast Algorithms for the Quaternionic Fourier Transform
Abstract. In this article, we deal with fast algorithms for the quaternionic Fourier transform (QFT). Our aim is to give a guideline for choosing algorithms in practical cases. Hen...
Michael Felsberg, Gerald Sommer
FMSD
2002
114views more  FMSD 2002»
13 years 7 months ago
The Correctness of the Fast Fourier Transform: A Structured Proof in ACL2
The powerlists data structure, created by Misra in the early 90s, is well suited to express recursive, data-parallel algorithms. Misra has shown how powerlists can be used to give ...
Ruben Gamboa