Processing a radar signal and representations of the discrete Heisenberg group

DOI10.4064/cm-60-61-1-195-203zbMath0743.94009OpenAlexW1550863876MaRDI QIDQ4713536

Lawrence W. Baggett

Publication date: 25 June 1992

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-60-61-1-195-203

zbMATH Keywords

von Neumann algebraHeisenberg groupunitary representationdense subspacesGabor functionoutgoing and incoming radar signals

Mathematics Subject Classification ID

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

Related Items (15)

The uniqueness of the dual of Weyl--Heisenberg subspace frames ⋮ Regular representations of time-frequency groups ⋮ The density theorem for projective representations via twisted group von Neumann algebras ⋮ The density theorem for discrete series representations restricted to lattices ⋮ The abc-Problem for Gabor Systems and Uniform Sampling in Shift-Invariant Spaces ⋮ A note on the density theorem for projective unitary representations ⋮ Quaternionic Gabor frame characterization and the density theorem ⋮ The spectral function of shift-invariant spaces ⋮ Lattice tiling and density conditions for subspace Gabor frames ⋮ On the invertibility of ``rectangular bi-infinite matrices and applications in time-frequency analysis ⋮ A direct integral decomposition of the wavelet representation ⋮ A Wiener lemma for the discrete Heisenberg group ⋮ The density theorem of a class of dilation-and-modulation systems on the half real line ⋮ The abstruse meets the applicable: some aspects of time-frequency analysis ⋮ Density results for Gabor systems associated with periodic subsets of the real line

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