Sparse Approximation to the Dirac-{\delta} Distribution
Classical Analysis and ODEs
2020-08-04 v1
Abstract
The Dirac-{\delta} distribution may be realized through sequences of convlutions, the latter being also regarded as approximation to the identity. The present study proposes the so called pre-orthogonal adaptive Fourier decomposition (POAFD) method to realize fast approximation to the identity. The type of sparse representation method has potential applications in signal and image analysis, as well as in system identification.
Cite
@article{arxiv.2008.00728,
title = {Sparse Approximation to the Dirac-{\delta} Distribution},
author = {Wei Qu and Tao Qian and Guan-Tie Deng},
journal= {arXiv preprint arXiv:2008.00728},
year = {2020}
}
Comments
17 pages