| Module 4.5 TDR Simulator |
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Formula:
1. \(T_1 = L_1 / v_p ; T_2 = L_3 / v_p\)
2. \(\Gamma_L\) : Load reflection coefficient
\(\Gamma_L = \frac{Z_L-Z_{03}}{Z_L+Z_{03}}\)
3. In the condition of Series :
\(\Gamma_{13} = \frac{R+Z_{03}-Z_{01}}{R+Z_{03}+Z_{01}}\);
\(\tau_{13} = (1+\Gamma_{13}) \times \frac{Z_{03}}{R+Z_{03}}\)
\(\Gamma_{31} = \frac{R+Z_{01}-Z_{03}}{R+Z_{01}+Z_{03}}\);
\(\tau_{31} = (1+\Gamma_{31}) \times \frac{Z_{01}}{R+Z_{01}}\)
4. In the condition of Shunt :
\(Z_{1} = \frac{1}{R^{-1}+Z_{01}^{-1}}\);
\(Z_{3} = \frac{1}{R^{-1}+Z_{03}^{-1}}\)
\(\Gamma_{13} = \frac{Z_{3}-Z_{01}}{Z_{3}+Z_{01}}\);
\(\tau_{13} = 1+\Gamma_{13}\)
\(\Gamma_{31} = \frac{Z_{1}-Z_{03}}{Z_{1}+Z_{03}}\);
\(\tau_{31} = 1+\Gamma_{31}\)
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Parameters:
1. \(Z_L\) : Load impedance (Ω)
2. \(Z_{01}, Z_{03}\) : Characteristic impedances of the transmission lines (Ω)
3. \(L_1, L_3\) : Lengths of the transmission lines (m)
4. \(R\) : Series/shunt resistance at discontinuity (Ω)
5. \(v_p\) ：Speed of EM wave in the transmission line (m/s)
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