Sparse Approximation to the Dirac-{\delta} Distribution
Wei Qu, Tao Qian, Guantie Deng · arXiv (Cornell University) · 2020
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.