Eigenvectors of the Discrete Fourier Transform Based on the Bilinear Transform

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Eigenvectors of the Discrete Fourier Transform Based on the Bilinear Transform

Determining orthonormal eigenvectors of the DFT matrix, which is closer to the samples of Hermite-Gaussian functions, is crucial in the definition of the discrete fractional Fourier transform. In this work, we disclose eigenvectors of the DFT matrix inspired by the ideas behind bilinear transform. The bilinear transform maps the analog space to the discrete sample space. As jω in the analog s-d...

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ژورنال

عنوان ژورنال: EURASIP Journal on Advances in Signal Processing

سال: 2010

ISSN: 1687-6180

DOI: 10.1155/2010/191085