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Importance of the phase and amplitude in the fractional Fourier domain

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Alieva, Tatiana Krasheninnikova and Calvo Padilla, María Luisa (2003) Importance of the phase and amplitude in the fractional Fourier domain. Journal of the Optical Society of America A-Optics Image Science And Vision, 20 (3). pp. 533-541. ISSN 0740-3232

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Official URL: http://dx.doi.org/10.1364/JOSAA.20.000533


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Abstract

The importance of the amplitude and phase in the fractional Fourier transform (FT) domain is analyzed on the basis of the rectangular signal and the real-world image. The quality of signal restoration from only the amplitude or from only the phase of its fractional FT by applying the inverse fractional FT is considered. It is shown that the signal reconstructed from the amplitude of the fractional FT usually reveals the main features of the original signal only for relatively low fractional orders. On the basis of phase information in the fractional FT domains, significant details of the signal can be obtained for nearly all fractional orders.


Item Type:Article
Additional Information:

© 2003 Optical Society of America.
Financial assistance from the Spanish Ministry of Science and Technology (project TIC 2002-01846) is acknowledged. T. Alieva acknowledges the financial support of Secretaría de Estado de Educación y Universidades de España (SB2000-0166) (Spanish Ministry of Education, Culture, and Sports).

Uncontrolled Keywords:Optical Implementation, Transform, Signals
Subjects:Sciences > Physics > Optics
ID Code:25603
Deposited On:05 Jun 2014 10:40
Last Modified:05 Jun 2014 10:40

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