Discrete Uncertainty Principle in Quaternion Setting and Application in Signal Reconstruction

2019/03/01 by Yang, Yan, Kou, Kit Ian, Zou, Cuiming
#42B10 #94A12 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.00193

Abstract

In this paper, the uncertainty principle of discrete signals associated with Quaternion Fourier transform is investigated. It suggests how sparsity helps in the recovery of missing frequency.

Related

• Donoho Starks and Hardys Uncertainty Principles for the Shortotime Quaternion Offset Linear Canonical Transform Donoho-Stark's and Hardy's Uncertainty Principles for the Short-time Quaternion Offset Linear Canonical Transform
• Uncertainty Principle for the multivariate two sided continuous quaternion Windowed Fourier transform
• The two-sided Gabor quaternion Fourier transform and some uncertainty principles
• Uncertainty principle for the two-sided quaternion windowed linear canonical transform
• Uncertainty Principles for Quaternion Windowed Offset Linear Canonical Transform of Two Dimensional Signals