NDLI: Grouping and selecting singular spectral analysis components for denoising based on empirical mode decomposition via integer quadratic programming

Content Provider	IET Digital Library
Author	Gu, Jialiang Lin, Peiru Ling, Bingo Wing Kuen Yang, Chuqi Feng, Peihua
Abstract	This study proposes an integer quadratic programming method for grouping and selecting the singular spectral analysis components based on the empirical mode decomposition for performing the denoising. Here, the total number of the grouped singular spectral analysis components is equal to the total number of the intrinsic mode functions. The singular spectral analysis components are assigned to the group indexed by the corresponding intrinsic mode function where the two norm error between the corresponding intrinsic mode function and the sum of the grouped singular spectral analysis components is minimum. Actually, this assignment of the singular spectral analysis components to a particular group is an integer quadratic programming problem. However, the required computational power for finding the solution of the integer quadratic programming problem is high. On the other hand, by representing the integer quadratic programming problem as an integer linear programming problem and employing an existing numerical optimisation computer aided design tool for finding the solution of the integer linear programming problem, the solution can be found efficiently. Computer numerical simulation results are presented.
Starting Page	599
Ending Page	604
Page Count	6
ISSN	17519675
Volume Number	12
e-ISSN	17519683
Issue Number	Issue 5, Jul (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-spr/12/5
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-spr.2017.0432
Journal	IET Signal Processing
Publisher Date	2018-01-16
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Denoising Digital Signal Processing Empirical Mode Decomposition Grouped Singular Spectral Analysis Component Integer Programming Integer Quadratic Programming Method Intrinsic Mode Function Norm Error Numerical Analysis Numerical Method Numerical Optimisation Computer Aided Design Tool Optimisation Optimisation Technique Quadratic Programming Signal Denoising Signal Processing And Detection Singular Spectral Analysis Component Assignment Singular Spectral Analysis Component Grouping Singular Spectral Analysis Component Selection Spectral Analysis
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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