But he says, he even he had trouble finding out what the 700 filter factors were.
These two independent approaches resulted in nearly identical filter factors, suggesting that both approaches are useful in determining reductions in microbial concentrations over transport distance.
Second, a transfer function, generated by the filtering results of the measured responses, is manipulated by an iterative Tikhonov regularization with a serious of iterative Landweber filter factors.
Based on attachment rates (katt) that were determined by applying the model to the breakthrough data, filter factors (f) were calculated and compared with f values estimated from the slopes of log (cmax/co) vs. distance plots.
In place of regularization using classical methods such as truncated singular value decomposition and Tikhonov regularization, the proposed method involves the direct definition of the filter factors on the basis of a thresholding operation, defined from the estimated measurement noise.
The filter factors of the TSVD and the Tikhonov regularization schemes are depicted in Figure 2. Figure 2 Filter factors of the Tikhonov and TSVD regularization methods.
However, the form is fitted correctly for lower filter factors (such as 10σ in this case).
Proof: Two regularization schemes are equivalent if they have the same filter factors.
Therefore, the filter factors for this regularization scheme can be expressed as: f n ≃ 1 if n ≤ n ' 0 if n > n ', 1 ≤ n ≤ N. (10).
Following the same approach used for the RNSD, the filter factors of the CGLS can be found as: f p + 1, n = σ n 2 T p CG σ n 2, 1 ≤ n ≤ N, (25).
The filter factors of the Tikhonov regularization scheme are given by: f n = σ n 2 σ n 2 + η 2 ≃ 1 if σ n ≫ η 0 if σ n ≪ η, 1 ≤ n ≤ N. (13).
