Uncertainty principle and phase-amplitude analysis of signals on the unit sphere

DOI10.1007/s00006-017-0808-9zbMath1386.94025OpenAlexW2753662996MaRDI QIDQ1686872

Tao Qian, Pei Dang, Qiu-hui Chen

Publication date: 18 December 2017

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-017-0808-9

zbMATH Keywords

uncertainty principlephase derivativespherical Dirac operatorspherical Hilbert transformspherical signals

Mathematics Subject Classification ID

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

Related Items (7)

Positive-instantaneous frequency and approximation ⋮ On the uncertainty product of spherical functions ⋮ Improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principle ⋮ A Theory on Non-Constant Frequency Decompositions and Applications ⋮ Clifford coherent state transforms on spheres ⋮ A directional uncertainty principle for periodic functions ⋮ Uncertainty product of the spherical Abel–Poisson wavelet

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