NDLI: Efficient discrete Gabor transform with weighted linear combination of analysis windows

Content Provider	IET Digital Library
Author	Li, Rui Tao, Liang Kwan, Hon Keung
Abstract	A novel discrete Gabor transform (DGT) with a weighted linear combination of analysis windows is presented, which can utilise the optimal weights to change the shape and width of the combined analysis window so as to improve the time–frequency resolution of the Gabor spectrum. The optimal weights can be solved by minimising the objective function with the mixed ℓ1 and ℓ2 norms of the DGT coefficients, which leads to the maximum time–frequency concentration of energy on the time–frequency plane, or equivalently, the optimal time–frequency resolution. Experimental results show that the proposed DGT is highly effective in time–frequency analysis.
Starting Page	772
Ending Page	774
Page Count	3
ISSN	00135194
Volume Number	52
e-ISSN	1350911X
Issue Number	Issue 9, Apr (2016)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/el/52/9
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/el.2015.4143
Journal	Electronics Letters
Publisher Date	2016-04-04
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Combined Analysis Window DGT Coefficient Discrete Gabor Transform Discrete Transforms Gabor Spectrum Integral Transforms Maximum Time-frequency Concentration Mixed L1-l2 Norms Nonstationary Signal Processing Objective Function Minimization Optimal Time-frequency Resolution Optimal Weight Signal Processing Signal Processing And Detection Signal Processing Theory Time-frequency Analysis Time-frequency Plane Weighted Linear Combination
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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