Detection of main tidal frequencies using least squares harmonic estimation method

In this paper the efficiency of the method of Least Squares Harmonic Estimation (LS-HE) for detecting the main tidal frequencies is investigated. Using this method, the tidal spectrum of the sea level data is evaluated at two tidal stations: Bandar Abbas in south of Iran and Workington on the easter...

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Main Authors: Mousavian R., Hossainali M. Mashhadi
Format: Article
Language:English
Published: De Gruyter 2012-11-01
Series:Journal of Geodetic Science
Subjects:
Online Access:https://doi.org/10.2478/v10156-011-0043-6
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author Mousavian R.
Hossainali M. Mashhadi
author_facet Mousavian R.
Hossainali M. Mashhadi
author_sort Mousavian R.
collection DOAJ
description In this paper the efficiency of the method of Least Squares Harmonic Estimation (LS-HE) for detecting the main tidal frequencies is investigated. Using this method, the tidal spectrum of the sea level data is evaluated at two tidal stations: Bandar Abbas in south of Iran and Workington on the eastern coast of the UK. The amplitudes of the tidal constituents at these two tidal stations are not the same. Moreover, in contrary to the Workington station, the Bandar Abbas tidal record is not an equispaced time series. Therefore, the analysis of the hourly tidal observations in Bandar Abbas and Workington can provide a reasonable insight into the efficiency of this method for analyzing the frequency content of tidal time series. Furthermore, applying the method of Fourier transform to the Workington tidal record provides an independent source of information for evaluating the tidal spectrum proposed by the LS-HE method. According to the obtained results, the spectrums of these two tidal records contain the components with the maximum amplitudes among the expected ones in this time span and some new frequencies in the list of known constituents. In addition, in terms of frequencies with maximum amplitude; the power spectrums derived from two aforementioned methods are the same. These results demonstrate the ability of LS-HE for identifying the frequencies with maximum amplitude in both tidal records.
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spelling doaj.art-c9b6e8aff08f46d582361765c8f79afc2022-12-22T04:31:31ZengDe GruyterJournal of Geodetic Science2081-99432012-11-012322423310.2478/v10156-011-0043-6Detection of main tidal frequencies using least squares harmonic estimation methodMousavian R.0Hossainali M. Mashhadi1Department of Geodesy and Geomatics Engineering, K. N. Toosi University of Technology, Tehran, IranDepartment of Geodesy and Geomatics Engineering, K. N. Toosi University of Technology, Tehran, IranIn this paper the efficiency of the method of Least Squares Harmonic Estimation (LS-HE) for detecting the main tidal frequencies is investigated. Using this method, the tidal spectrum of the sea level data is evaluated at two tidal stations: Bandar Abbas in south of Iran and Workington on the eastern coast of the UK. The amplitudes of the tidal constituents at these two tidal stations are not the same. Moreover, in contrary to the Workington station, the Bandar Abbas tidal record is not an equispaced time series. Therefore, the analysis of the hourly tidal observations in Bandar Abbas and Workington can provide a reasonable insight into the efficiency of this method for analyzing the frequency content of tidal time series. Furthermore, applying the method of Fourier transform to the Workington tidal record provides an independent source of information for evaluating the tidal spectrum proposed by the LS-HE method. According to the obtained results, the spectrums of these two tidal records contain the components with the maximum amplitudes among the expected ones in this time span and some new frequencies in the list of known constituents. In addition, in terms of frequencies with maximum amplitude; the power spectrums derived from two aforementioned methods are the same. These results demonstrate the ability of LS-HE for identifying the frequencies with maximum amplitude in both tidal records.https://doi.org/10.2478/v10156-011-0043-6least squares harmonic estimationspectral analysistidal frequencies
spellingShingle Mousavian R.
Hossainali M. Mashhadi
Detection of main tidal frequencies using least squares harmonic estimation method
Journal of Geodetic Science
least squares harmonic estimation
spectral analysis
tidal frequencies
title Detection of main tidal frequencies using least squares harmonic estimation method
title_full Detection of main tidal frequencies using least squares harmonic estimation method
title_fullStr Detection of main tidal frequencies using least squares harmonic estimation method
title_full_unstemmed Detection of main tidal frequencies using least squares harmonic estimation method
title_short Detection of main tidal frequencies using least squares harmonic estimation method
title_sort detection of main tidal frequencies using least squares harmonic estimation method
topic least squares harmonic estimation
spectral analysis
tidal frequencies
url https://doi.org/10.2478/v10156-011-0043-6
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