Reconstruction of the joint time-delay Doppler-scale reflectivity density in the wide-band regime. A frame theory based approach

DOI10.1063/1.533412zbMath0969.78005OpenAlexW2066063687MaRDI QIDQ2738115

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Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533412

zbMATH Keywords

reconstruction formulainverse scatteringjoint time-delay Doppler-scale reflectivity density

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Cites Work

• Continuous frames in Hilbert space
• The continuous wavelet transform as a maximum entropy solution of the corresponding inverse problem
• Painless nonorthogonal expansions
• The wavelet transform, time-frequency localization and signal analysis
• Frames: A maximum entropy statistical estimate of the inverse problem
• Continuous and Discrete Wavelet Transforms
• Unitary Representations of the Affine Group
• Continuous Representation Theory Using the Affine Group

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