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Quadratic Phase Multiresolution Analysis and the Construction of Orthonormal Wavelets in L2(โ„)

Quadratic Phase Multiresolution Analysis and the Construction of Orthonormal Wavelets in L2(โ„)

The multi-resolution analysis (MRA) associated with quadratic phase Fourier transform (QPFT) serves as a tool to construct orthogonal bases of the L2(R). Consequently, it assumes a pivotal role in facilitating potential applications of QPFT. Inspired by the sampling theorem applicable to band-limited signals in the QPFT domain, this paper formulates โ€ฆ