Discrete uncertainty principle in quaternion setting and application in signal reconstruction

DOI10.1142/S0219691321500193zbMath1481.94063arXiv1903.00193MaRDI QIDQ5022953

Cuiming Zou, Kit Ian Kou, Yan Yang

Publication date: 20 January 2022

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00193

zbMATH Keywords

signal reconstructionquaternion Fourier transformdiscrete uncertainty principle

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for discrete and fast Fourier transforms (65T50) Convergence of Fourier series and of inverse transforms (43A50)

Cites Work

• Discrete uncertainty principles and sparse signal processing
• On the linear independence of spikes and sines
• Envelope detection using generalized analytic signal in 2D QLCT domains
• Some properties of windowed linear canonical transform and its logarithmic uncertainty principle
• Uncertainty Principles and Signal Recovery
• Hypercomplex Fourier Transforms of Color Images
• Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
• Quaternionic analysis
• Phase‐based edge detection algorithms
• Uncertainty principles related to quaternionic windowed Fourier transform
• Uncertainty principle for measurable sets and signal recovery in quaternion domains
• CLIFFORD ALGEBRA Cl_3,0-VALUED WAVELET TRANSFORMATION, CLIFFORD WAVELET UNCERTAINTY INEQUALITY AND CLIFFORD GABOR WAVELETS

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