Radar Ambiguity Functions and Group Theory

DOI10.1137/0516043zbMath0581.43002OpenAlexW2017934388MaRDI QIDQ3704372

Louis Auslander, Richard Tolimieri

Publication date: 1985

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0516043

zbMATH Keywords

radar ambiguity function\(L^ 2({\mathbb{R}})\)\(L^ 2({\mathbb{R}}^ 2)\)

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (13)

Linear Transformations in Signal and Optical Systems ⋮ On informational completeness of covariant localization observables and Wigner coefficients ⋮ Weak values of a quantum observable and the cross-Wigner distribution ⋮ k-Ambiguity function in the framework of offset linear canonical transform ⋮ Injectivity of sampled Gabor phase retrieval in spaces with general integrability conditions ⋮ Phase Retrieval: Uniqueness and Stability ⋮ Uncertainty principle for Weyl transform and Fourier–Wigner transform ⋮ Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms. ⋮ Discrete radar ambiguity problems ⋮ Uniqueness results in an extension of Pauli's phase retrieval problem ⋮ Analytic representations with theta functions for systems on ℤ(d) and on 𝕊 ⋮ Phase retrieval techniques for radar ambiguity problems ⋮ Ambiguity functions, Wigner distributions and Cohen's class for LCA groups

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