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The proposed fuzzy system tunes the smoothing factor of the IIR filter adaptively according to the amount of noise and the camera intentional accelerating movement.
To examine the effects of temporal filtering and noise on the estimation of connectivity each spike train was low-pass filtered (through convolution with a Gaussian) and down-sampled proportional to this smoothing
Weighted value class contributions calculated using equation 6 give activity and inactivity contributions of 0.72 and 1.40, respectively, for value v1 (applying a smoothing factor of α=0.1): C v 1 (a c t ) = 0.1 + 1.5 0.2 + 2 = 0.72 C v 1 (i n a c t ) = 0.1 + 3.0 0.2 + 2 = 1.40 Normalization using equation 8 then yields updated v1 class probabilities of 0.34 (activity) and 0.66 (inactivity).
The data were filtered using an FIR band pass filter with a low frequency cutoff of 30 Hz and a high frequency cutoff of 1,000 Hz, an IIR band stop filter at line frequency (60 Hz), and the data were smoothed using a smoothing factor of 11 samples using mean value smoothing.
A locally weighted smoothing scatterplot technique (SAS®, PROC LOESS) was used with a smoothing factor of 0.06 to estimate secondary GIR (GIRmax and GIR-Tmax) and blood glucose (time of blood glucose control within predefined margins) variables.
Fourier smoothing analysis is performed to show that the smoothing factor of certain relaxation techniques used with the scheme is smaller than 1.
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Fig. 4 Checkerboard test using damping and smoothing factors of 1800 and 1800, respectively.
The second step used a least-squares inversion with a penalty function and smoothing factor to efficiently invert the distribution of reservoir deformation and volume change from the surface uplift data.
In order to suppress the over prediction of ratcheting we consider a scalar function of smoothing factor, which can simulate the saturation behavior of uniaxial/multiaxial strain ratcheting.
As the value of smoothing factor α increases, prominence is given to instantaneous bandwidth requirements.
Simulations were carried out with different values of smoothing factor α (eqn. 13).
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