2021
DOI: 10.1049/sil2.12033
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Robust smoothing of one‐dimensional data with missing and/or outlier values

Abstract: Penalized least squares (PLS) is a popular data smoothing technique. However, existing PLS smoothing algorithms behave as low-pass filters (LPF), and, hence, they may introduce distortions to bandpass signals. These algorithms also have difficulties associated with the selection of the smoothing parameter and the order of the difference matrix they utilize. A new PLS smoothing algorithm is developed to overcome these limitations. In the proposed algorithm, two difference matrices and two regularisation paramet… Show more

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Cited by 7 publications
(4 citation statements)
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“…(7) The optimum values of IMAR model parameters are estimated via maximum likelihood estimation. Equations ( 3) and estimate the parameter values of the source spectral component vectors (4).…”
Section: Fig: 3 Representation Of Imar Modelmentioning
confidence: 99%
“…(7) The optimum values of IMAR model parameters are estimated via maximum likelihood estimation. Equations ( 3) and estimate the parameter values of the source spectral component vectors (4).…”
Section: Fig: 3 Representation Of Imar Modelmentioning
confidence: 99%
“…Such random changes in amplitude can negatively impact application-level performance. Furthermore, during measurements, the signal is susceptible to outlier samples caused by external factors such as instrument malfunction [70]. Signal smoothing attempts to remove such impairments in the signal by adjusting the amplitudes of individual samples with respect to the amplitudes of adjacent samples.…”
Section: A Preprocessingmentioning
confidence: 99%
“…The lackness of chemical contents data can be filled with some substituted values, known as data imputation. In the past few decades, many data-driven methods have been proposed to address the imputation of missing values in industrial and engineering problems [5][6][7][8][9]. The most simple solutions are to impute the missing values with some statistical values, such as mean, median, and the last observation [10].…”
Section: Introductionmentioning
confidence: 99%