Journal ArticleDOI
Wave packet decomposition
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TLDR
In this paper, the authors examined the natural representation of a signal through the dynamic time and frequency properties of its energy distribution and proposed a heuristic approach for resolving the inverse problem in physical systems.Abstract:
Various decomposition techniques have been employed in signal processing for exploiting and highlighting the characteristics of a given signal. The approach discussed in this paper, conceived from the observation of wave packets in scattering phenomena, is to examine the natural representation of a signal through the dynamic time and frequency properties of its energy distribution. For a time‐varying signal from a physical system with finite energy content, the selected natural frame component functions, which may not be necessarily orthogonal, can form a complete set for the particular signal under analysis. The decomposition with these nonorthogonal frames then becomes optimal and unique. Algorithms for evaluating the composition of this type of frame are derived from the coherence property of the given signal and image processing is used to estimate the approximate form of needed functions. A simulated multimode signal and the response of the scattered wave signature from an isolated spherical shell are examples used to illustrate a heuristic approach, based on this decomposition method, for resolving the inverse problem in physical systems.read more
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Journal ArticleDOI
The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
Norden E. Huang,Zheng Shen,Steven R. Long,Man-Li C. Wu,Hsing H. Shih,Quanan Zheng,Nai-Chyuan Yen,C. C. Tung,Henry H. Liu +8 more
TL;DR: In this paper, a new method for analysing nonlinear and nonstationary data has been developed, which is the key part of the method is the empirical mode decomposition method with which any complicated data set can be decoded.
Journal ArticleDOI
The application of two-dimensional signal transformations to the analysis and synthesis of structural excitations observed in acoustical scattering
L. R. Dragonette,David M. Drumheller,Charles F. Gaumond,D.H. Hughes,B. T. O’Connor,Nai‐chyuan Yen,Timothy J. Yoder +6 more
TL;DR: In this paper, the Fourier transform (FT) of the impulse response of a shell is decomposed into a set of physically distinct components, which form a natural basis for all signals which can be observed in acoustical scattering experiments from the shell via temporal convolution with some chosen input signal.
Proceedings ArticleDOI
Radar range profile analysis with natural frame time-frequency representation
TL;DR: In this article, the natural frame decomposition is used for best representing radar range profiles, and a time-frequency ridge detector is applied for finding the natural frames set, which can be used as the target features for classification.
Journal ArticleDOI
Evaluation of hydrologic and meteorological impacts on dengue fever incidences in southern Taiwan using time-frequency analysis methods
TL;DR: The linkage between hydrologic/meteorological factors and dengue fever incidences can be established using time-dependent intrinsic correlation (TDIC) approaches.
ReportDOI
On-Line Monitoring and Diagnostics of the Integrity of Nuclear Plant Steam Generators and Heat Exchangers
TL;DR: In this article, the authors presented a high-fidelity nodal model of a U-tube steam generator (UTSG) to simulate the effects of fouling and to generate a database representing normal and degraded process conditions.