﻿ Module 5.5 TDR Simulator
Module 5.5 TDR Simulator

### Formula:

1. $T_1 = L_1 / v_p ; T_2 = L_3 / v_p$
2. $\Gamma_L$ : 負載端的反射係數 (Load reflection coefficient)
$\Gamma_L = \frac{Z_L-Z_{03}}{Z_L+Z_{03}}$
3. 電阻串聯時 (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. 電阻並聯時 (In the condition of Shunt) :
$Z_{1} = \frac{1}{R^{-1}+Z_{01}^{-1}}$;     $Z_{3} = \frac{1}{R^{-1}+Z_{03}^{-1}}$
$\Gamma_{13} = \frac{Z_{3}-Z_{01}}{Z_{3}+Z_{01}}$;       $\tau_{13} = 1+\Gamma_{13}$
$\Gamma_{31} = \frac{Z_{1}-Z_{03}}{Z_{1}+Z_{03}}$;       $\tau_{31} = 1+\Gamma_{31}$

### Parameters:

1. $Z_L$ : 負載阻抗 (Load impedance) (Ω)
2. $Z_{01}, Z_{03}$ : 傳輸線特徵阻抗 (Characteristic impedances of the transmission lines) (Ω)
3. $L_1, L_3$ : 傳輸線長度 (Lengths of the transmission lines) (m)
4. $R$ : 不連續處的串聯/並聯電阻 (Series/shunt resistance at discontinuity) (Ω)
5. $v_p$ ：電磁波的傳遞速度 (Speed of EM wave in the transmission line) (m/s)