3. Least Squares parameter estimation based on the Gauss-Markov-model

Contents

Maximum resolution LS estimators for all parameters of the functional model.
Minimum leakage LS estimators for all parameters of the functional model.
Estimation of tidal parameters of different potential degrees and orders.
Estimation of tidal parameters meeting oceanographic definitions and conventions
Correlation analysis of selected parameters by the “SPECTRAL CORRELATION VIEWER (SCV)” with graphic support.
Calculation of the “Correlation RMSE Amplifier (CRA)” of each tidal and non-tidal wave group.
Assessment of optimal wave grouping by means of the CRAs.
Iterative analysis procedure to “whiten” the residuals.

Reduction of the observations by channels with predefined reduction factors prior to analysis.
Pre-processing analysis of tidal observations to yield reduced observations containing unmodelled signals, noise and a groups of signals defined as Pass Groups ( example: only the long periodic signals for subsequent analysis). The resulting data file is of type *.pas in the ETERNA data format.
Pre-processing analysis of tidal observations to subtract a defined group of signals, the Stop Groups (example: signals beyond a certain frequency to avoid aliasing when increasing the sampling interval). The resulting data file is of type *.stp in the ETERNA data format.

Domain-wise analysing the residuals.
Estimating and presenting residual spectra together with their signal to noise ratios to detect hidden signals.
Deriving spectral information for frequency-dependent RMSEs and confidence intervals.

Calculation of residual vectors B (B, beta) for all modelled main Earth tide constituents as difference of the (observed=analysed) tidal parameters and those derived from the chosen Earth model.
Calculation of mean load vectors L (L, lambda) based on different ocean models and processing Greenwich and local tidal phase lags/leads.
Calculation of ocean load corrected amplitude factors and phase shifts for the main tidal constituents.
Calculation of residual vectors x (x, chi) based on the ocean load corrected observed tidal parameters and those of the provided Earth models for the main tidal wave groups.
Consistency check by comparing the load vectors L from ocean models with the residual vectors B of the analysis.
Comparing the ocean corrected amplitude factors with those of the Earth models implemented.

Thorough parameterization (*.ini) for gaining utmost flexibility for Earth tide analysis and prediction.
Comprehensive consistency checks on syntax, domains, and inter parameter rules for the parameters in *.ini.
Analysing regression channels with the functional model of Earth tides prior to Earth tide analysis.
Enhanced block/gap management (minimum block lengths, automated elimination of blocks).
Providing online graphic presentation support for a better interpretation of the analysis results by the open source SIMDEM/SIMFIT package.
Flexible output parameters to control the flow of information.
Support of nano radiant dimension for tilt.