## 5 Results of Tests and Analyses
### Proposed Methods of Line Length Estimation of the Reconstructed Image  
The analysis to confirm the correctness of the proposed methods and criteria for the estimation of the reconstructed image line length \(d_{\Delta}\) was carried out on the basis of the actual revealing emission signals. Images containing graphic objects of various shapes and qualities, the source of which was the graphic paths of various devices processing protected data, were proposed for the analysis. The obtained results of the analysis show that:  
* the proposed methods and criteria meet the requirements for the accuracy of the estimation of image line length \(d_{\Delta}\);  
Figure 11: Normalized values of changing of images contrasts calculated according to Equations (2), (8) and (11) in domain of image line length \(d_{\Delta}\) for different accuracies \(\Delta\): (**a**) \(\Delta=1.0\), (**b**) \(\Delta=0.1\), (**c**) \(\Delta=0.01\), (**d**) \(\Delta=0.001\), (**e**) \(\Delta=0.0001\), (**f**) \(\Delta=0.00001\), original image Figure 7d. the accuracy of the estimation of the image line length \(d_{\Delta}\) has an influence on the efficiency of the coherent summation process, the purpose of which is to improve the image quality;
* each of the methods (methods I, II, and III) is effective in the estimation of the image line length \(d_{\Delta}\), regardless of the source of the revealing emission signal and the structure of the data contained in the reconstructed image;
* there may be differences in the estimated values of the image line length \(d_{\Delta}\) depending on the method used. However, this is not a method error. This is due to the fact that the value of the next approximation of the parameter \(d_{\Delta}\) is equal to half the accuracy range. Estimating with an accuracy of \(\Delta\) one step higher shows that the value \(d_{\Delta}\) is the same regardless of the method used. It should also be emphasized that in determining the correct length \(d_{\Delta}\) of the image line, the first three stages of estimation are very important, in which the accuracy refers to unity and tenths and hundredths of the line length values after the decimal point. The greater the accuracy (thousandths, ten thousandths, and hundredths of the decimal point), the more difficult it is to visually assess the impact of this accuracy on the quality of the reconstructed image at 30 times, 40 times, or 60 times coherent summation. Therefore, the accuracy of the \(d_{\Delta}\) parameter estimation was limited to the accuracy \(\Delta=10^{-5}\). 2.1 The Source of the Revealing Emission Signal in the Form of a Computer Monitor Working in the HDMI Standard  
Figure 7a as a Primary Image, Monitor Mode 1280 \(\times\) 1024/60 Hz, Pre-Estimated Value \(D_{Ent}=1950.00000\)  
Figures 12-17 show the variability of the normalized values of the proposed measures described by the formulas (20, method I), (27, method II), and (30, method III) in the domain of line length \(d_{\Delta}\) of the reconstructed image, examples of reconstructed images for the estimated line lengths \(d_{\Delta}\), for six precision values \(\Delta\), and the Tables 3-8 include numerical values respectively. Figure 12: (**a**) The normalized values of the adopted measures (method I, II and III) calculated in domain of image line length \(d_{\Delta}\) for the accuracy \(\Delta=1.0\) (for the original image shown in Figure 7a) and images reconstructed on the basis of the recorded revealing emission signals at frequency \(f_{o}=1334\) MHz (receiving bandwidth \(BW=50\) MHz, accuracy \(\Delta=1.0\)), (**b**) for estimated line length  
\(d_{\Delta}=1954.00000\), multiple of image summation \(Sum_{MTL}=1\) and (c) for estimated line length \(d_{\Delta}=1954.00000\), image summation multiple \(Sum_{MTL}=30\) --the source of revealing signal emission--display monitor, HDMI standard.