scholarly journals Particularities and commonalities of singular spectrum analysis as a method of time series analysis and signal processing

2020 ◽  
Vol 12 (4) ◽  
Author(s):  
Nina Golyandina
Keyword(s):  
Time Series ◽  
Signal Processing ◽  
Time Series Analysis ◽  
Spectrum Analysis ◽  
Singular Spectrum Analysis ◽  
Series Analysis ◽  
Singular Spectrum

scholarly journals Evidence of structured Brownian dynamics from temperature time series analysis

1997 ◽  
Vol 4 (4) ◽  
pp. 251-254
Author(s):  
A. Pasini ◽  
V. Pelino ◽  
S. Potestà
Keyword(s):  
Time Series ◽  
Time Series Analysis ◽  
Spectrum Analysis ◽  
Brownian Dynamics ◽  
Singular Spectrum Analysis ◽  
Temperature Time Series ◽  
Singular Spectrum ◽  
The Usa ◽  
Temperature Time ◽  
Analysis Of Time Series

Abstract. An analysis of time series of monthly mean temperatures ranging from 1895 to 1989 is performed through application of Singular Spectrum Analysis (SSA) to data of several places in the USA. A common dynamics in the reconstructed spaces is obtained, with the evidence of a non-trivial and structured coupling of two Brownian motions, resembling the so-called Lévy flights. The idea that these two correlated functions are related to the zonal and eddy components of the atmospheric motions is suggested.

scholarly journals PERAMALAN NILAI TUKAR PETANI MENGGUNAKAN METODE SINGULAR SPECTRUM ANALYSIS

2020 ◽  
Vol 9 (3) ◽  
pp. 171
Author(s):  
GILANG BIMASAKTI ANDHIKA ◽  
I WAYAN SUMARJAYA ◽  
I GUSTI AYU MADE SRINADI
Keyword(s):  
Time Series ◽  
Exchange Rate ◽  
Time Series Analysis ◽  
Spectrum Analysis ◽  
Singular Spectrum Analysis ◽  
Window Length ◽  
Nonparametric Approach ◽  
Singular Spectrum ◽  
Forecasting Method ◽  
L Value

Singular spectrum analysis (SSA) is a new method in time series analysis that uses a nonparametric approach. The purpose of this study is to determine the model and forecast the farmer exchange rate in the Province of Bali using SSA. Vector singular spectrum analysis (VSSA) forecasting method is used to calculate the accuracy of forecasting. The best SSA model is obtained with a window length (L) value of 57 and produces a MAPE value of 0.49%. In conclusion, SSA method can predict farmer exchange rate in the Province of Bali very accurate.

Application of singular spectrum analysis in reconstruction of the annual signal from GRACE

2020 ◽  
Vol 14 (3) ◽  
pp. 295-302
Author(s):  
Chuandong Zhu ◽  
Wei Zhan ◽  
Jinzhao Liu ◽  
Ming Chen
Keyword(s):  
Time Series ◽  
Spectrum Analysis ◽  
Singular Spectrum Analysis ◽  
Mixture Effect ◽  
Singular Spectrum ◽  
Grace Data ◽  
Terrestrial Water ◽  
Annual Signal ◽  
Long Term Variations

AbstractThe mixture effect of the long-term variations is a main challenge in single channel singular spectrum analysis (SSA) for the reconstruction of the annual signal from GRACE data. In this paper, a nonlinear long-term variations deduction method is used to improve the accuracy of annual signal reconstructed from GRACE data using SSA. Our method can identify and eliminate the nonlinear long-term variations of the equivalent water height time series recovered from GRACE. Therefore the mixture effect of the long-term variations can be avoided in the annual modes of SSA. For the global terrestrial water recovered from GRACE, the peak to peak value of the annual signal is between 1.4 cm and 126.9 cm, with an average of 11.7 cm. After the long-term and the annual term have been deducted, the standard deviation of residual time series is between 0.9 cm and 9.9 cm, with an average of 2.1 cm. Compared with the traditional least squares fitting method, our method can reflect the dynamic change of the annual signal in global terrestrial water, more accurately with an uncertainty of between 0.3 cm and 2.9 cm.

scholarly journals Time Series Imputation via L1 Norm-Based Singular Spectrum Analysis

2018 ◽  
Vol 17 (02) ◽  
pp. 1850017 ◽  
Author(s):  
Mahdi Kalantari ◽  
Masoud Yarmohammadi ◽  
Hossein Hassani ◽  
Emmanuel Sirimal Silva
Keyword(s):  
Time Series ◽  
Spectrum Analysis ◽  
Missing Values ◽  
Time Series Data ◽  
Singular Spectrum Analysis ◽  
Series Data ◽  
L1 Norm ◽  
Nonparametric Approach ◽  
Singular Spectrum ◽  
Simulated Time

Missing values in time series data is a well-known and important problem which many researchers have studied extensively in various fields. In this paper, a new nonparametric approach for missing value imputation in time series is proposed. The main novelty of this research is applying the [Formula: see text] norm-based version of Singular Spectrum Analysis (SSA), namely [Formula: see text]-SSA which is robust against outliers. The performance of the new imputation method has been compared with many other established methods. The comparison is done by applying them to various real and simulated time series. The obtained results confirm that the SSA-based methods, especially [Formula: see text]-SSA can provide better imputation in comparison to other methods.

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