학술논문
Compressive Sensing of Sparse Signals in the Hermite Transform Basis
Document Type
Periodical
Author
Source
IEEE Transactions on Aerospace and Electronic Systems IEEE Trans. Aerosp. Electron. Syst. Aerospace and Electronic Systems, IEEE Transactions on. 54(2):950-967 Apr, 2018
Subject
Language
ISSN
0018-9251
1557-9603
2371-9877
1557-9603
2371-9877
Abstract
An analysis of the influence of missing samples in signals exhibiting sparsity in the Hermite transform domain is presented. Based on the statistical properties derived for the Hermite coefficients of randomly undersampled signal, the probability of success in detection of signal components support is determined and a threshold for the detection of signal components is provided. It is a crucial step in a simple noniterative and iterative matching pursuit (MP)-based algorithm for compressive sensing signal reconstruction.