Parseval relationship of samples in the fractional Fourier transform domain (Q1760687)
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scientific article; zbMATH DE number 6106211
| Language | Label | Description | Also known as |
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| English | Parseval relationship of samples in the fractional Fourier transform domain |
scientific article; zbMATH DE number 6106211 |
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Parseval relationship of samples in the fractional Fourier transform domain (English)
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15 November 2012
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Summary: This paper investigates the Parseval relationship of samples associated with the fractional Fourier transform. Firstly, the Parseval relationship for uniform samples of band-limited signals is obtained. Then, the relationship is extended to a general set of nonuniform samples of band-limited signals associated with the fractional Fourier transform. Finally, the two dimensional case is investigated in detail, it is also shown that the derived results can be regarded as a generalization of the classical ones in the Fourier domain to the fractional Fourier transform domain.
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