Quaternion Gaussian matrices satisfy the RIP

Abstract

We prove that quaternion Gaussian random matrices satisfy the restricted isometry property (RIP) with overwhelming probability. We also explain why the restricted isometry random variables (RIV) approach is not appropriate for drawing conclusions on restricted isometry constants.

15 pages, 4 figures

References in corpus (2)

• Restricted Isometry Random Variables: Probability Distributions, RIC Prediction and Phase Transition Analysis for Gaussian Encoders
• Compressed sensing in the quaternion algebra

Cited by in corpus (1)

• Compressed sensing in the quaternion algebra