Optimal basis pursuit based on jaya optimization for adaptive fourier decomposition

2017 ◽  
Author(s):  
Ali Kirkbas ◽  
Aydin Kizilkaya ◽  
Esref Bogar
Keyword(s):  
Basis Pursuit ◽  
Optimal Basis ◽  
Fourier Decomposition ◽  
Adaptive Fourier Decomposition

Adaptive Fourier decomposition in

2019 ◽  
Vol 42 (6) ◽  
pp. 2016-2024
Author(s):  
Yanbo Wang ◽  
Tao Qian
Keyword(s):  
Fourier Decomposition ◽  
Adaptive Fourier Decomposition

A NOVEL SIGNAL DECOMPOSITION APPROACH — ADAPTIVE FOURIER DECOMPOSITION

2011 ◽  
Vol 03 (03) ◽  
pp. 325-338
Author(s):  
LIMING ZHANG ◽  
HONG LI
Keyword(s):  
Greedy Algorithm ◽  
Fast Convergence ◽  
Signal Decomposition ◽  
Theoretical Studies ◽  
Decomposition Approach ◽  
Fourier Decomposition ◽  
Energy Effectiveness ◽  
Adaptive Fourier Decomposition ◽  
Instantaneous Frequencies ◽  
The Greedy Algorithm

This paper presents a novel signal decomposition approach — adaptive Fourier decomposition (AFD), which decomposes a given signal based on its physical characters. The algorithm is described in detail, that is based on recent theoretical studies on analytic instantaneous frequencies and stands as a realizable variation of the greedy algorithm. The principle of the algorithm gives rise to fast convergence in terms of energy. Effectiveness of the algorithm is evaluated by comparison experiments with the classical Fourier decomposition (FD) algorithm. The results are promising.

scholarly journals FFT formulations of adaptive Fourier decomposition

2017 ◽  
Vol 324 ◽  
pp. 204-215 ◽  
Author(s):  
You Gao ◽  
Min Ku ◽  
Tao Qian ◽  
Jianzhong Wang
Keyword(s):  
Fourier Decomposition ◽  
Adaptive Fourier Decomposition
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