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- W2962743293 abstract "The discrete Fourier transform (DFT) is an important operator which acts on the Hilbert space of complex valued functions on the ring Z / N Z . In the case where N = p is an odd prime number, we exhibit a canonical basis Φ of eigenvectors for the DFT. The transition matrix Θ from the standard basis to Φ defines a novel transform which we call the discrete oscillator transform (DOT for short). Finally, we describe a fast algorithm for computing Θ in certain cases." @default.
- W2962743293 created "2019-07-30" @default.
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- W2962743293 date "2009-07-01" @default.
- W2962743293 modified "2023-09-29" @default.
- W2962743293 title "On the diagonalization of the discrete Fourier transform" @default.
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- W2962743293 doi "https://doi.org/10.1016/j.acha.2008.11.003" @default.
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