Parseval Relationship of Samples in the Fractional Fourier Transform Domain
This paper investigates the Parseval relationship of samples associated with the fractional Fourier transform. Firstly, the Parseval relationship for uniform samples of band-limited signal is obtained. Then, the relationship is extended to a general set of nonuniform samples of band-limited signal a...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/428142 |
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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 signal is obtained. Then, the relationship is
extended to a general set of nonuniform samples of band-limited signal 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 the generalization of the classical ones in the Fourier domain to
the fractional Fourier transform domain. |
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| ISSN: | 1110-757X 1687-0042 |