Applications of Savitzky-Golay Filter for Seismic Random Noise Reduction

Yan-ping, Liu; Dang, Bo; Li, Yue; Lin, Hongbo; Ma, Haitao

doi:10.1515/acgeo-2015-0062

Cited by 68 publications

(36 citation statements)

References 22 publications

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“…However, this filtering method is not suitable for the 2D point cloud. The Savitzky-Golay (S-G) algorithm is one of the effective methods for noise reduction of electronic signals or vibration signals [13,14]. It is a novel method for random noise reduction, in which the S-G filter adopts piecewise weighted polynomials via least-squares estimation.…”

Section: Denoisingmentioning

confidence: 99%

Detection System for U-Shaped Bellows Convolution Pitches Based on a Laser Line Scanner

Yang

Chen

Liu

et al. 2020

Sensors

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An expansion joint is mainly composed of bellows and other components; it is attached on a container shell or pipe to compensate for the additional stress caused by temperature differences and mechanical vibrations. In China, the expansion joint fatigue tests are often used to assess the quality of products. After fatigue tests, convolution pitch will be changed. The amount of change is an important index that can be used to evaluate bellows expansion joints. However, the convolution pitch detection is mainly done manually and randomly by inspection agencies before shipping to the end users. This common practice is not efficient and is often subjective. This paper introduced a novel method for automatically detecting the change of the convolution pitch based on a laser line scanner and data processing technology. The laser line scanner is combined with a precision motorized stage to obtain the point cloud data of the bellows. After denoising and fitting, a peak-finding algorithm is applied to search for the crest of a convolution. The method to find the convolution pitch and the decision that needs to be made to ensure product eligibility are described in detail. A DN500 expansion joint is used as a sample to illustrate the efficiency of the system. The application of the technique intuitively allows a higher precision and relative efficiency in quality inspection of bellows expansion joints. It has also been implemented in the Special Equipment Safety Supervision and Inspection Institute of Jiangsu province with great success.

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Section: Denoisingmentioning

confidence: 99%

Detection System for U-Shaped Bellows Convolution Pitches Based on a Laser Line Scanner

Yang

Chen

Liu

et al. 2020

Sensors

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“…Noise reduction is necessary to eliminate residual noise that exists in both left, U and right, V singular vector matrices. This method has been discussed in [46,47] and applied in [48,49]. Savitzky-Golay (SG) filter has been chosen due to its capability to work in time-series and preserve the features.…”

Section: Savitzky-golay Filtermentioning

confidence: 99%

Detection and Localization of an Object Behind Wall Using an Inverse Scattering Technique With Wall Direct Subtraction Method

Mahsen¹,

Ping²,

Sahrani³

2019

PIER C

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Through-wall imaging (TWI) is one of the useful applications nowadays in microwave tomography field. Reconstructing image of an object becomes more challenging when it is obscured by walls. In practice, the inclusions of noise worsen the reconstruction results. In this paper, Forward-Backward Time-Stepping (FBTS) in time inversion technique is utilized and integrated with Wall Direct Subtraction (WDS) method to reconstruct unknown object behind walls. The investigation includes two types of walls that are homogeneous and heterogeneous. The object is surrounded by closed walls. With noise added in the setup, Singular Value Decomposition (SVD) and Savitzky-Golay (SG) filtering method are used to eliminate the noise and enhance the reconstructed image of an object. The results show that WDS integrated with FBTS has successfully mitigating wall clutter from both homogeneous and heterogeneous walls, and also improves image reconstruction of a hidden object. Further, by using the proposed noise reduction method, lower MSE values can be achieved.

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“…Liu et al . () use it for the reduction of random noise in seismic data. These are not the only publications in the field of geosciences where the SG derivative filtering has been used.…”

Section: Introductionmentioning

confidence: 99%

“…Moon et al (2014) use it for smoothing regional atmospheric climate model RACMO2.3 data to assess glacier velocity in Greenland. Liu et al (2016) use it for the reduction of random noise in seismic data. These are not the only publications in the field of geosciences where the SG derivative filtering has been used.…”

mentioning

confidence: 99%

An optimal Savitzky–Golay derivative filter with geophysical applications: an example of self‐potential data

Roy¹

2019

Geophysical Prospecting

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A B S T R A C TWe propose a strategy in designing an optimal set of filter parameters, such as the order of interpolating polynomial and the filter length for a Savitzky-Golay derivative filter. The proposed strategy is based on the 'principle of parsimony' while satisfying the optimality conditions. The optimality conditions are based on the Durbin-Watson lag-1 test statistic and the Derringer-Suich desirability function. While the former checks for an appropriate data fitting, the latter, on the other hand, ensures minimal shape distortion of the reconstructed response. The proposed strategy of designing filter parameters is developed and validated through numerical experiments using Gaussian pulse as a test function which is contaminated with additive white Gaussian noise. In the numerical tests, the polynomial orders used were 3, 5 and 7, but the filter length for each polynomial was varying until the optimality conditions were satisfied. The Savitzky-Golay derivative filtering is used in obtaining the robust reconstruction of noisy geophysical anomaly and the robust estimation of its first-and secondorder derivatives. We validated the proposed technique on the published self-potential anomaly data using a data-based interpretation technique where the reconstructed anomaly and its first-and second-order derivatives were used in estimating model parameters. The data-based interpretation using the proposed technique of Savitzky-Golay derivative filtering provides a close agreement with the published results.

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Applications of Savitzky-Golay Filter for Seismic Random Noise Reduction

Cited by 68 publications

References 22 publications

Detection System for U-Shaped Bellows Convolution Pitches Based on a Laser Line Scanner

Detection System for U-Shaped Bellows Convolution Pitches Based on a Laser Line Scanner

Detection and Localization of an Object Behind Wall Using an Inverse Scattering Technique With Wall Direct Subtraction Method

An optimal Savitzky–Golay derivative filter with geophysical applications: an example of self‐potential data

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