A randomized multivariate matrix pencil method for superresolution microscopy

Electronic Transactions on Numerical Analysis

Martin Ehler¹ 

关键词: frequency analysis;    spectral analysis;    exponential sum;    moment problem;    superresolution;   

DOI  :  

学科分类：数学（综合）

来源: Kent State University * Institute of Computational Mathematics

【 摘 要 】

The matrix pencil method is an eigenvalue-based approach for the parameter identification of sparse exponential sums. We derive a reconstruction algorithm for multivariate exponential sums that is based on simultaneous diagonalization. Randomization is used and quantified to reduce the simultaneous diagonalization to the eigendecomposition of a single random matrix. To verify feasibility, the algorithm is applied to synthetic and experimental fluorescence microscopy data.

【 授权许可】

Unknown