Fractional convolution, fractional correlation and their translation invariance properties

DOI10.1016/j.sigpro.2009.12.016zbMath1197.94130OpenAlexW1965936301MaRDI QIDQ1957779

Pierre Pellat-Finet, Yezid Torres, Rafael Torres

Publication date: 27 September 2010

Published in: Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sigpro.2009.12.016

zbMATH Keywords

translation invariancefractional correlationfractional convolutionfractional order Fourier transformfractional translation operator

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items

Generalized convolution ⋮ Rare \(Z\)-decay into light CP-odd Higgs bosons: a comparative study in different new physics models ⋮ COUPLED FRACTIONAL WIGNER DISTRIBUTION WITH APPLICATIONS TO LFM SIGNALS ⋮ A convolution and correlation theorem for the linear canonical transform and its application ⋮ Convolution theorem for fractional cosine‐sine transform and its application ⋮ Two-dimensional fractional shearlet transforms in \(L^2({\mathbb{R}}^2)\)

Cites Work

• On Namias's Fractional Fourier Transforms
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics