Robust space time processing based on bi-iterative scheme of secondary data selection and PSWF method

Du, Wentao; Liao, Guisheng; Yang, Zhiwei

doi:10.1016/j.dsp.2016.01.016

Cited by 7 publications

(3 citation statements)

References 17 publications

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“…In [53,54], the authors also considered a PSWF dictionary for reconstruction of electroencephalography (EEG) signals and time-limited signals that are also nearly band-limited from nonuniform samples. Chen and Vaidyanathan [5] utilized the PSWFs to represent the clutter subspace (and hence mitigate the clutter), facilitating space-time adaptive processing for multiple-input multipleoutput (MIMO) radar systems; see also [12,71].…”

Section: Applications In the Common Time And Frequency Domainsmentioning

confidence: 99%

“…Then for any ǫ ∈ (0, 1 2 ), the orthobasis 4 General Toeplitz Operators on Locally Abelian Groups Let x(g) ∈ L2(G), whose Fourier transform is given by x(ξ). Now we consider the eigenvalue distribution of a general time-limited Toeplitz operator X Aτ (which is formally defined in ( 13)) on a locally abelian group; in particular we are interested in the relationship between the spectrum of of the time-limited Toeplitz operator X Aτ and the spectrum of corresponding non-time-limited operator X (whose eigenvalues are given by x(ξ) as explained in (12)). The operator X Aτ is completely continuous and its eigenvalues are denoted by λ ℓ (X Aτ ).…”

Section: Questionsmentioning

confidence: 99%

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Time-Limited Toeplitz Operators on Abelian Groups: Applications in Information Theory and Subspace Approximation

Zhu,

Wakin

2017

Preprint

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Toeplitz operators are fundamental and ubiquitous in signal processing and information theory as models for linear, time-invariant (LTI) systems. Due to the fact that any practical system can access only signals of finite duration, time-limited restrictions of Toeplitz operators are naturally of interest. To provide a unifying treatment of such systems working on different signal domains, we consider timelimited Toeplitz operators on locally compact abelian groups with the aid of the Fourier transform on these groups. In particular, we survey existing results concerning the relationship between the spectrum of a time-limited Toeplitz operator and the spectrum of the corresponding non-time-limited Toeplitz operator. We also develop new results specifically concerning the eigenvalues of time-frequency limiting operators on locally compact abelian groups. Applications of our unifying treatment are discussed in relation to channel capacity and in relation to representation and approximation of signals.

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Section: Applications In the Common Time And Frequency Domainsmentioning

confidence: 99%

Section: Questionsmentioning

confidence: 99%

Time-Limited Toeplitz Operators on Abelian Groups: Applications in Information Theory and Subspace Approximation

Zhu,

Wakin

2017

Preprint

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“…Both properties, the increase of the resolution of the current spectrogram and the reduction of the computing time needed to obtain it, will be assessed in the Experimental Section of this paper. The Slepian windows have been used in other fields such as medical image diagnostics [ 61 ], wireless transmission [ 62 ], acoustics [ 63 ], signal processing [ 64 ], etc. However, in spite of their benefits, to the best knowledge of the authors, they have never been used before for the fault diagnosis of IMs through the analysis of the stator current.…”

Section: Introductionmentioning

confidence: 99%

Fault Diagnosis of Induction Machines in a Transient Regime Using Current Sensors with an Optimized Slepian Window

Burriel-Valencia

Puche-Panadero

Martínez-Román

et al. 2018

Sensors

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The aim of this paper is to introduce a new methodology for the fault diagnosis of induction machines working in the transient regime, when time-frequency analysis tools are used. The proposed method relies on the use of the optimized Slepian window for performing the short time Fourier transform (STFT) of the stator current signal. It is shown that for a given sequence length of finite duration, the Slepian window has the maximum concentration of energy, greater than can be reached with a gated Gaussian window, which is usually used as the analysis window. In this paper, the use and optimization of the Slepian window for fault diagnosis of induction machines is theoretically introduced and experimentally validated through the test of a 3.15-MW induction motor with broken bars during the start-up transient. The theoretical analysis and the experimental results show that the use of the Slepian window can highlight the fault components in the current’s spectrogram with a significant reduction of the required computational resources.

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Research Data and Method Selection

2020

Engineering Research

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Robust space time processing based on bi-iterative scheme of secondary data selection and PSWF method

Cited by 7 publications

References 17 publications

Time-Limited Toeplitz Operators on Abelian Groups: Applications in Information Theory and Subspace Approximation

Time-Limited Toeplitz Operators on Abelian Groups: Applications in Information Theory and Subspace Approximation

Fault Diagnosis of Induction Machines in a Transient Regime Using Current Sensors with an Optimized Slepian Window

Research Data and Method Selection

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