A5101727351- Spectral Theory in Mathematical Physics
- Structural Health Monitoring Techniques
- Differential Equations and Boundary Problems
- Numerical methods in inverse problems
- Image and Signal Denoising Methods
- Ultrasonics and Acoustic Wave Propagation
Hong Kong Polytechnic University
2024
The University of Tokyo
2009
In this work, the difference convex function based on capped nuclear norm minimization (CNNM-DC) method, a cross-spectral matrix (CSM) completion iterative algorithm with excellent noise immunity, is proposed to realize acoustic imaging of non-synchronous measurements (NSM) under condition low signal-to-noise ratio (SNR). Compared CSM (NNM) model, truncated regularization (TNNR) and weighted (WNNM) method can obtain image narrow main lobes no sidelobe SNR. The simulation results show that,...
In this paper, we consider the stability of an inverse spectral problem for a nonsymmetric ordinary differential operator. We give estimate deviation in coefficients operator when data perturb. Our result shows that if two are sufficiently close to one another, then corresponding operators must be each other sense Cϑ-norm (ϑ = 0, 1).