## 3 Results and Discussion
### The Mechanism of the Formation of the Multiscan Video Signal on the Basis of Its Impulse Response
From Equations (7) and (8) we obtain the following:  
\[U_{be}=\frac{1}{\alpha}\ln\frac{j_{be}+j_{be}^{s}+j_{be}^{f}}{j_{be}^{s}} \tag{10}\]  
\[U_{bc}=\frac{1}{\alpha}\ln\frac{j_{be}^{s}-j_{be}^{f}-j_{be}}{j_{be}^{s}} \tag{11}\]  
By substituting Equations (10) and (11) into (6) and solving the latter with respect to \(j_{bc}\), we obtain an expression for the output current \(j_{out}\) and the video signal \(V_{s}\) of the unit cell:  
\[j_{out}=2\bigg{(}j_{s}\frac{\exp\alpha(E_{c}-E_{e})-1}{\exp\alpha(E_{c}-E_{e}) +1}+j_{bc}^{f}\frac{\exp\alpha(E_{c}-E_{e})}{\exp\alpha(E_{c}-E_{e})+1}-j_{be }^{f}\frac{1}{\exp\alpha(E_{c}-E_{e})+1}\bigg{)} \tag{12}\]  
\[V_{cell}=L\frac{dj_{out}}{dt}=L\frac{2E_{0}}{U_{0}T}\cdot\frac{\exp\alpha(E_{ c}-E_{e})}{\left[\exp\alpha(E_{c}-E_{e})+1\right]^{2}}\cdot\left[b\left(2j_{s}+j_{be }^{f}+j_{bc}^{f}\right)\right] \tag{13}\]  
where \(L\) is the coefficient depending on a differentiation approach (in the ideal case, \(L=1\)). A video signal from one MS photodiode unit cell has two limiting cases. In the first case, when IR does not cause distortions (i.e., \(h(\hat{t}-\hat{x})=\delta(x)\), where \(\delta(x)\) is the unit Dirac delta function), an ideal measurement by the MOD takes place. Equation (13) for a VS from one cell is then transformed into real rectangular light relief from a uniform LZ:  
\[E_{c}=E_{e0}+U_{be}+U_{bc} \tag{6}\]0  
\[E_{c}=E_{e0}+U_{be}+U_{bc} \tag{6}\]1 Equivalent scheme of the multiscan photodiode unit cell in scanistor enabling: (**a**) full scheme; (**b**) volt-ampere characteristics and video signal (in darkness—dashed line; at illumination—solid line). In the second case, when the measured input quantity is in the form of the Dirac delta function (i.e., \(j_{f}(x)=\delta(x)\)), Equation (13) is transformed into the multiscan impulse response:  
\[E_{c}=E_{e0}+U_{be}+U_{bc} \tag{6}\]2  
The VS of the string television MS is the LZ convolution with IR:  
\[ \begin{split} V(\hat{t})=L\int_{0}^{l}j(\hat{x})\cdot h\big{(} \hat{t}-\hat{x}\big{)}dx=L\left[b\left(2j_{s}+j_{be}^{f}+j_{be}^{f}\right) \right]\cdot\frac{2E_{0}}{U_{0}T}\int_{0}^{l}\frac{\exp\alpha(E_{c}-E_{e})dx}{ \left[\exp\alpha(E_{c}-E_{e})+1\right]^{2}}=\\ =2 Lbj_{s}\left[\frac{2 LI}{T}\cdot\frac{1}{\exp\alpha(E_{c}-E_{e}) +1}\right]_{0}^{l}+b\left(j_{be}^{f}+j_{be}^{f}\right)\left[\frac{2 LI_{1}}{T} \cdot\frac{1}{\exp\alpha(E_{c}-E_{e})+1}\right]_{x_{1}}^{x_{2}}\end{split}  \tag{16}\]  
It can be seen that Equation (16) coincides with (1) for the multiscan VS and shows the correctness of the obtained expressions for IR and LZ. Figure 5b shows the process of the formation of a trapezoidal video signal as the sum (integral) of IRs, i.e., video signals from photodiode unit cells. The convolution of the signal of the LZ profile with impulse response explains the smearing of the edges of the MOD video pulse. The quantity of the smearing is fully determined by the MOD IR and does not depend on the LZ width. Thus, the smearing-out of the signals of the action of narrow light zones relative to their width is so significant that the conventional method for the determination of the LZ width by the first and second derivatives of the MOD video signal stops working (see Figure 4c,d). Results of the Use of Spatio-Structural Parameters of the Multiscan Video Signal for Improving the Accuracy of the Measurements of the Geometric Parameters of Objects  
The developed MOD (Figure 3) is a linear system with constant parameters, which can be represented in the form of a structural scheme (Figure 5a). In this case, the MOD work is described by the impulse response \(h(\hat{t}-\hat{x})\), the action \(f(\hat{x})\) is the light zone profile (dashed lines on the diagrams in Figure 4b and the response \(v(\hat{t})\) is a MOD video signal (solid line). In [31], to solve the problem of the determination of the light zone dimensions and coordinates by the smeared-out video signal of the scanistor \(p\)-\(n\)-\(p\) structure, it was suggested to use spatio-structural parameters (SSPs).