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study demonstrated that this is dependent also on the magnitude of the vertical force. Moreover, the quality of the COP signal was improved when Q ST decreased (Table 3.4) by increasing Fz magnitude. B.5.6.2. Noise Curve There is not a trend among the standard uncertainty of the Fz signal registered with the different dead load weights (Figs. B.1 to B.4), although there are accuracy differences between the two force platforms. Therefore, the highest standard uncertainty of both force platforms (u Fz = 2.1 N) was chosen. Therefore, the u y in the COP measurements is modeled as an hyperbolic function of the Fz magnitude as u Fz = c . According to Eq. (B.12) the minimum u y is obtained when the dead load is placed at the geometrical centre of the top plate of the force platform as in this point the same fraction of the Fz is registered by each load cell. Figure B.12 shows the experimental obtained noise curve together with the minima curve of the model for different cases of statistically correlated error sources, Ï = â0.9 to Ï = â0.1. The variance explained by the fitted regression models (R2 ) are very high. For the Y-axis the experimental obtained COP uncertainty is better modelled with statistically correlated error Ï = â0.8, while for the X-axis with Ï = â0.9. B.5.6.3. COP Denoise Procedures Comparison The results showed that the MSE quintic splines following the proposed procedure with uncertainty analysis provides more smoothed data in comparison with the others procedures. B.5.6.4. Spatiotemporal resolution criterion The quality of the COP signal is improved when Q ST decreases (Table 3.4) either by increasing Fz magnitude or by increasing sampling rate. B.5.7. Conclusion The implementation of the Metrology âGuide to the Expression of Uncertainty of Measurementâ (GUM) approach (ISO-JCGM 100, 2010) to calculate standard uncertainties for specifying the weighted factor for each coordinate of the noisy COP data was introduced. The obtained noise curves can be used (the experimental or the theoretical) in order to obtained the weighted matrix for smoothing purposes. The ÏCOP in the COP measurements is nonlinearly related to the Fz , with less magnitude when higher Fz is applied onto the plate of the force platform. According to Eq. (B.12) the minimum ÏCOP is obtained when the dead load is placed at the geometrical centre of the top plate of the force platform as in this point the same fraction of the Fz is registered by each cell. The variance explained by the fitted fractional quadratic models (R2 ) is very high. The obtained noise curves can be used (experimental or theoretical) in order to obtained the weighted matrix (W) for the smoothing purposes. 165