| Module 5.2 Bouncing Signal in T. Line w/ Impulse Source |
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| Formula: 1. \(\Gamma_S\): 訊號源端的反射係數
\(\Gamma_S = \frac{Z_S-Z_0}{Z_S+Z_0}\)
2. \(\Gamma_L\) : 負載端的反射係數
\(\Gamma_L = \frac{Z_L-Z_0}{Z_L+Z_0}\)
3. \(h(t)\) : heavyside function
\( \left\{ \begin{array}{rcl} h(t) = 0 \mathrm{,\quad for}\hspace{2mm} t < 0 \\ h(t) = 1 \mathrm{, \quad for}\hspace{2mm} t\geq 0 \end{array}\right.\)
4. \(V(z,t)\) :
\(= \sum\limits_{n=0}^{\infty}{V_+ \left( \Gamma_S \Gamma_L \right)^n \{[h(-2nL+v_pt-z) - h(-2nL+v_pt-W-z)] \\ \quad + \Gamma_L \times [h(v_pt+z-(2n+2)L)-h(v_pt+z-(2n+2)L-W)]\}}\)
| Parameters: 1. \(V_0\) : Amplitude of DC voltage (V)
2. \(Z_S\) : Source impedance (Ω)
3. \(Z_L\) : Load impendance (Ω)
4. \(Z_0\) : Characteristic impendance of the transmission line (Ω)
5. \(L\) : Length of the transmission line (m)
6. \(v_p\) : The speed of electromagnetic wave in transmission line (m/s)
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