Sparse representation of approximation to identity
Wei Qu, Charles K. Chui, Guantie Deng, Tao Qian · Analysis and Applications · 2021
The Dirac-[Formula: see text] distribution may be realized through sequences of convolutions, the latter being also regarded as approximation to the identity. This paper proposes the real form of pre-orthogonal adaptive Fourier decomposition (POAFD) method to realize fast approximation to the identity. It belongs to sparse representation of signals having potential applications in signal and image analysis.