On the diagonalization of the discrete Fourier transform
نویسندگان
چکیده
منابع مشابه
On the diagonalization of the discrete Fourier transform
The discrete Fourier transform (DFT) is an important operator which acts on the Hilbert space of complex valued functions on the ring Z/NZ. 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). Final...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2009
ISSN: 1063-5203
DOI: 10.1016/j.acha.2008.11.003