Multidimensional fractional Fourier transform: Properties and applications

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dc.contributor.authorBouasla ,Yousra
dc.contributor.authorKIMOUCHE, Karima
dc.date.accessioned2025-11-25T13:05:11Z
dc.date.available2025-11-25T13:05:11Z
dc.date.issued2025
dc.description.abstractThis master s thesis focuses on the study of the multidimensional fractional Fourier transform in both its classical and windowed forms as a powerful extension of the con- ventional Fourier transform with enhanced capability for analyzing non-stationary sig- nals. The work presents formal de nitions of both transforms and explores their main mathematical properties, including linearity, time-shift, convolution, scaling, and en- ergy preservation. Special attention is given to the role of window function in improving time-frequency localization in the n-dimensional window fractional Fourier transform framework. A comparative analysis between these transforms is also provided. Finally, selected applications are presented to highlight the relevance of these transforms in various elds
dc.identifier.urihttp://dspace.univ-skikda.dz:4000/handle/123456789/5503
dc.language.isoen
dc.publisherFaculty of Sciences
dc.titleMultidimensional fractional Fourier transform: Properties and applications
dc.title.alternativeAN-EDP
dc.typeThesis
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