Bouasla ,YousraKIMOUCHE, Karima2025-11-252025-11-252025http://dspace.univ-skikda.dz:4000/handle/123456789/5503This 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 eldsenThesis