Outlier Detection and Smoothing Process for Water Level Data Measured by Ultrasonic Sensor in Stream Flows

Water level data sets acquired by ultrasonic sensors in stream-scale channels exhibit relatively large numbers of outliers that are off the measurement range between the ultrasonic sensor and water surface, as well as data dispersion of approximately 2 cm due to random errors such as water waves. Th...

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Main Authors: Inhyeok Bae, Un Ji
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/11/5/951
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author Inhyeok Bae
Un Ji
author_facet Inhyeok Bae
Un Ji
author_sort Inhyeok Bae
collection DOAJ
description Water level data sets acquired by ultrasonic sensors in stream-scale channels exhibit relatively large numbers of outliers that are off the measurement range between the ultrasonic sensor and water surface, as well as data dispersion of approximately 2 cm due to random errors such as water waves. Therefore, this study develops a data processing algorithm for outlier removal and smoothing for water level data measured by ultrasonic sensors to consider these characteristics. The outlier removal process includes an initial cutoff process to remove outliers out of the measurement range and an outlier detection process using modified Z-scores based on the median absolute deviation (MAD) of a robust estimator. In addition, an exponentially weighted moving average (EWMA) method is applied to smooth the processed data. Sensitivity analyses are performed for factors that are subjectively set by the user, including the window size for the MAD outlier detection stage, the rejection criterion for the modified Z-score outlier removal stage, and the smoothing constant for the EWMA smoothing stage, based on four different water level data sets acquired by ultrasonic sensors in stream-scale experiments.
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spelling doaj.art-0cd26ecfa1e4446d9c8e7f39df276ebf2022-12-22T02:37:06ZengMDPI AGWater2073-44412019-05-0111595110.3390/w11050951w11050951Outlier Detection and Smoothing Process for Water Level Data Measured by Ultrasonic Sensor in Stream FlowsInhyeok Bae0Un Ji1Smart City and Construction Engineering, Korea University of Science and Technology, Goyang-Si 10223, KoreaSmart City and Construction Engineering, Korea University of Science and Technology, Goyang-Si 10223, KoreaWater level data sets acquired by ultrasonic sensors in stream-scale channels exhibit relatively large numbers of outliers that are off the measurement range between the ultrasonic sensor and water surface, as well as data dispersion of approximately 2 cm due to random errors such as water waves. Therefore, this study develops a data processing algorithm for outlier removal and smoothing for water level data measured by ultrasonic sensors to consider these characteristics. The outlier removal process includes an initial cutoff process to remove outliers out of the measurement range and an outlier detection process using modified Z-scores based on the median absolute deviation (MAD) of a robust estimator. In addition, an exponentially weighted moving average (EWMA) method is applied to smooth the processed data. Sensitivity analyses are performed for factors that are subjectively set by the user, including the window size for the MAD outlier detection stage, the rejection criterion for the modified Z-score outlier removal stage, and the smoothing constant for the EWMA smoothing stage, based on four different water level data sets acquired by ultrasonic sensors in stream-scale experiments.https://www.mdpi.com/2073-4441/11/5/951data smoothingexponentially weighted moving averagemedian absolute deviationmodified Z-scoresoutlier detectionultrasonic sensorwater level monitoring
spellingShingle Inhyeok Bae
Un Ji
Outlier Detection and Smoothing Process for Water Level Data Measured by Ultrasonic Sensor in Stream Flows
Water
data smoothing
exponentially weighted moving average
median absolute deviation
modified Z-scores
outlier detection
ultrasonic sensor
water level monitoring
title Outlier Detection and Smoothing Process for Water Level Data Measured by Ultrasonic Sensor in Stream Flows
title_full Outlier Detection and Smoothing Process for Water Level Data Measured by Ultrasonic Sensor in Stream Flows
title_fullStr Outlier Detection and Smoothing Process for Water Level Data Measured by Ultrasonic Sensor in Stream Flows
title_full_unstemmed Outlier Detection and Smoothing Process for Water Level Data Measured by Ultrasonic Sensor in Stream Flows
title_short Outlier Detection and Smoothing Process for Water Level Data Measured by Ultrasonic Sensor in Stream Flows
title_sort outlier detection and smoothing process for water level data measured by ultrasonic sensor in stream flows
topic data smoothing
exponentially weighted moving average
median absolute deviation
modified Z-scores
outlier detection
ultrasonic sensor
water level monitoring
url https://www.mdpi.com/2073-4441/11/5/951
work_keys_str_mv AT inhyeokbae outlierdetectionandsmoothingprocessforwaterleveldatameasuredbyultrasonicsensorinstreamflows
AT unji outlierdetectionandsmoothingprocessforwaterleveldatameasuredbyultrasonicsensorinstreamflows