Digital Simulation and Analytical Prediction of Level Crossing Statistics for Linear Filtering of Non‐Gaussian (Impulsive) Noise

1971 ◽  
Vol 50 (1A) ◽  
pp. 133-133
Author(s):  
J. J. Hearn ◽  
T. I. Smits
Keyword(s):  
Impulsive Noise ◽  
Digital Simulation ◽  
Analytical Prediction ◽  
Linear Filtering ◽  
Level Crossing ◽  
Non Gaussian

scholarly journals Robust Weighted l1,2 Norm Filtering in Passive Radar Systems

Sensors ◽  
2020 ◽  
Vol 20 (11) ◽  
pp. 3270 ◽  
Author(s):  
Baris Satar ◽  
Gokhan Soysal ◽  
Xue Jiang ◽  
Murat Efe ◽  
Thiagalingam Kirubarajan
Keyword(s):  
Target Detection ◽  
Impulsive Noise ◽  
Simulated Data ◽  
Real Data ◽  
Detection Performance ◽  
Passive Radar ◽  
Mobile Telecommunication ◽  
Telecommunication System ◽  
Conventional Methods ◽  
Non Gaussian

Conventional methods such as matched filtering, fractional lower order statistics cross ambiguity function, and recent methods such as compressed sensing and track-before-detect are used for target detection by passive radars. Target detection using these algorithms usually assumes that the background noise is Gaussian. However, non-Gaussian impulsive noise is inherent in real world radar problems. In this paper, a new optimization based algorithm that uses weighted l 1 and l 2 norms is proposed as an alternative to the existing algorithms whose performance degrades in the presence of impulsive noise. To determine the weights of these norms, the parameter that quantifies the impulsiveness level of the noise is estimated. In the proposed algorithm, the aim is to increase the target detection performance of a universal mobile telecommunication system (UMTS) based passive radars by facilitating higher resolution with better suppression of the sidelobes in both range and Doppler. The results obtained from both simulated data with α stable distribution, and real data recorded by a UMTS based passive radar platform are presented to demonstrate the superiority of the proposed algorithm. The results show that the proposed algorithm provides more robust and accurate detection performance for noise models with different impulsiveness levels compared to the conventional methods.

scholarly journals Linear Filtering and Recursive Credibility Estimation

1985 ◽  
Vol 15 (1) ◽  
pp. 19-35 ◽  
Author(s):  
Ben Zehnwirth
Keyword(s):  
Geometric Interpretation ◽  
Linear Filtering ◽  
Filtering Theory ◽  
Innovation Approach ◽  
Non Gaussian

AbstractRecursive credibility estimation is discussed from the viewpoint of linear filtering theory. A conjunction of geometric interpretation and the innovation approach leads to general algorithms not developed before. Moreover, covariance characterizations considered by other researchers drop our elegantly as a result of geometric considerations. Examples are presented of Kalman type filters valid for non-Gaussian measurements.

scholarly journals A Simple Condition Monitoring Method for Gearboxes Operating in Impulsive Environments

Sensors ◽  
2020 ◽  
Vol 20 (7) ◽  
pp. 2115 ◽  
Author(s):  
Stephan Schmidt ◽  
Radoslaw Zimroz ◽  
Fakher Chaari ◽  
P. Stephan Heyns ◽  
Mohamed Haddar
Keyword(s):  
Impulsive Noise ◽  
Operating Conditions ◽  
Fault Identification ◽  
Time Varying ◽  
Monitoring Method ◽  
Condition Indicators ◽  
Diagnosis And Prognosis ◽  
Conventional Condition ◽  
Non Gaussian ◽  
Effective Diagnosis

Reliable condition indicators are necessary to perform effective diagnosis and prognosis. However, the vibration signals are often corrupted with non-Gaussian noise and rotating machines may operate under time-varying operating conditions. This impedes the application of conventional condition indicators. The synchronous average of the squared envelope is a relatively simple yet effective method to perform fault detection, fault identification and fault trending under constant and time-varying operating conditions. However, its performance is impeded by the presence of impulsive signal components attributed to impulsive noise or the presence of other damage modes in the machine. In this work, it is proposed that the synchronous median of the squared envelope should be used instead of the synchronous average of the squared envelope for gearbox fault diagnosis. It is shown on numerical and experimental datasets that the synchronous median is more robust to the presence of impulsive signal components and is therefore more reliable for estimating the condition of specific machine components.

scholarly journals Acoustic Impulsive Noise Based on Non-Gaussian Models: An Experimental Evaluation

Sensors ◽  
2019 ◽  
Vol 19 (12) ◽  
pp. 2827 ◽  
Author(s):  
Danilo Pena ◽  
Carlos Lima ◽  
Matheus Dória ◽  
Luan Pena ◽  
Allan Martins ◽  
...  
Keyword(s):  
Impulsive Noise ◽  
Gaussian Mixture Models ◽  
Audio Signal ◽  
Poor Performance ◽  
Gaussian Mixture ◽  
Stable Model ◽  
Gaussian Models ◽  
Non Gaussian ◽  
Signal Processing Methods ◽  
Best Fit

In general, acoustic channels are not Gaussian distributed neither are second-order stationary. Considering them for signal processing methods designed for Gaussian assumptions is inadequate, consequently yielding in poor performance of such methods. This paper presents an analysis for audio signal corrupted by impulsive noise using non-Gaussian models. Audio samples are compared to the Gaussian, α -stable and Gaussian mixture models, evaluating the fitting by graphical and numerical methods. We discuss fitting properties as the window length and the overlap, finally concluding that the α -stable model has the best fit for all tested scenarios.

scholarly journals Narrow-Band Excitation of Hysteretic Systems

1997 ◽  
Vol 4 (4) ◽  
pp. 241-250 ◽  
Author(s):  
W.Q. Zhu ◽  
C.D. Huang ◽  
T.T. Soong
Keyword(s):  
Natural Frequency ◽  
Narrow Band ◽  
Digital Simulation ◽  
Central Frequency ◽  
Stationary Response ◽  
Hysteretic Systems ◽  
Non Gaussian ◽  
Range Of Values

The stationary response of smooth and bilinear hysteretic systems to narrow-band random excitations is investigated by using the quasistatic method and digital simulation. It is shown that the response is qualitatively different in different ranges of values of the ratio of the excitation central frequency to the natural frequency of the system. In the resonant zone, the response is essentially non-Gaussian. For bilinear hysteretic systems with strong yielding, stochastic jumps may occur for a range of values of the ratio between nonresonant and resonant zones.

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