UM
Fast basis search for adaptive Fourier decomposition
Wang, Ze1; Wan, Feng1; Wong, Chi Man1; Qian, Tao2
2018-12-06
Source PublicationEURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING
ISSN1687-6180
AbstractThe adaptive Fourier decomposition (AFD) uses an adaptive basis instead of a fixed basis in the rational analytic function and thus achieves a fast energy convergence rate. At each decomposition level, an important step is to determine a new basis element from a dictionary to maximize the extracted energy. The existing basis searching method, however, is only the exhaustive searching method that is rather inefficient. This paper proposes four methods to accelerate the AFD algorithm based on four typical optimization techniques including the unscented Kalman filter (UKF) method, the Nelder-Mead (NM) algorithm, the genetic algorithm (GA), and the particle swarm optimization (PSO) algorithm. In the simulation of decomposing four representative signals and real ECG signals, compared with the existing exhaustive search method, the proposed schemes can achieve much higher computation speed with a fast energy convergence, that is, in particular, to make the AFD possible for real-time applications.
KeywordAdaptive Fourier decomposition Unscented Kalman filter Nelder-Mead algorithm Genetic algorithm Particle swarm optimization algorithm
DOI10.1186/s13634-018-0593-1
URLView the original
Indexed BySCI
Language英语
WOS Research AreaEngineering
WOS SubjectEngineering, Electrical & Electronic
WOS IDWOS:000452899700001
PublisherSPRINGEROPEN
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Univ Macau, Dept Elect & Comp Engn, Fac Sci & Technol, Ave Univ, Taipa, Macau, Peoples R China;
2.Univ Macau, Dept Math, Fac Sci & Technol, Ave Univ, Taipa, Macau, Peoples R China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Wang, Ze,Wan, Feng,Wong, Chi Man,et al. Fast basis search for adaptive Fourier decomposition[J]. EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING,2018.
APA Wang, Ze,Wan, Feng,Wong, Chi Man,&Qian, Tao.(2018).Fast basis search for adaptive Fourier decomposition.EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING.
MLA Wang, Ze,et al."Fast basis search for adaptive Fourier decomposition".EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING (2018).
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