Convolution theorem for fractional cosine‐sine transform and its application

DOI10.1002/mma.4251zbMath1371.42003OpenAlexW2561029299MaRDI QIDQ4977830

Bing-Zhao Li, Qiang Feng

Publication date: 17 August 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4251

zbMATH Keywords

fractional Fourier transformconvolution theoremconvolution operationfractional cosine and sine transform

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convolution, factorization for one variable harmonic analysis (42A85)

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The explicit solutions for a class of fractional Fourier–Laplace convolution equations ⋮ Filter design based on the fractional Fourier transform associated with new convolutions and correlations ⋮ Poisson summation formulae associated with the special affine Fourier transform and offset Hilbert transform ⋮ Uncertainty principles for the windowed Hankel transform

Cites Work

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• The Poisson sum formulae associated with the fractional Fourier transform
• On the convolution with a weight-function for the cosine-Fourier integral transform
• Fractional convolution, fractional correlation and their translation invariance properties
• A Fourier generalized convolution transform and applications to integral equations
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics
• Spectral Analysis and Reconstruction for Periodic Nonuniformly Sampled Signals in Fractional Fourier Domain
• Sampling analysis in the complex reproducing kernel Hilbert space
• An uncertainty principle for real signals in the fractional Fourier transform domain
• Fractional cosine, sine, and Hartley transforms
• On the generalized convolution with a weight function for the Fourier sine and cosine transforms

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