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arXiv · 2008.00728

Sparse Approximation to the Dirac-{\delta} Distribution

Wei Qu·Tao Qian·Guan-Tie Deng
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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.

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Wei Qu, Tao Qian, Guan-Tie Deng. 2020-08-03. Sparse Approximation to the Dirac-{\delta} Distribution. https://arxiv.org/abs/2008.00728

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