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CORR
2008
Springer
112views Education» more  CORR 2008»
11 years 5 months ago
The discrete Fourier transform: A canonical basis of eigenfunctions
We exhibit a canonical basis of eigenvectors for the discrete Fourier transform (DFT). The transition matrix from the standard basis to defines a novel transform which we call ...
Shamgar Gurevich, Ronny Hadani, Nir A. Sochen
TSP
2008
178views more  TSP 2008»
11 years 5 months ago
Digital Computation of Linear Canonical Transforms
Abstract--We deal with the problem of efficient and accurate digital computation of the samples of the linear canonical transform (LCT) of a function, from the samples of the origi...
A. Koc, Haldun M. Özaktas, Cagatay Candan, M....
JOT
2010
186views more  JOT 2010»
11 years 3 months ago
The Discrete Fourier Transform, Part 6: Cross-Correlation
This paper is part 6 in a series of papers about the Discrete Fourier Transform (DFT) and the Inverse Discrete Fourier Transform (IDFT). The focus of this paper is on correlation....
Douglas Lyon
JOT
2010
167views more  JOT 2010»
11 years 3 months ago
The Discrete Fourier Transform, Part 5: Spectrogram
This paper is part 5 in a series of papers about the Discrete Fourier Transform (DFT) and the Inverse Discrete Fourier Transform (IDFT). The focus of this paper is on the spectrog...
Douglas Lyon
FOCM
2008
156views more  FOCM 2008»
11 years 5 months ago
Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis Pursuit
We investigate the problem of reconstructing sparse multivariate trigonometric polynomials from few randomly taken samples by Basis Pursuit and greedy algorithms such as Orthogona...
Stefan Kunis, Holger Rauhut
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