## Impulse signal distortion in transmission line

Today most electronic equipment consists of signal generators and processing units. These units are connected with transmission lines. These lines have big influence in signal distortions. On these lines depends transmition lines stability. Letâ€™s see how transmition lines affect transmitted signals. (G- signal generator; Za– output impedance; I- signal receiver Zb– input impedance; L- transmission line length; Z0– Line impedance. When line is tuned and without losses then input voltage: Ub(t) = ZbE(t-t)/(Za + Zb) E(t)- generators signal amplitude; t– signal delay in line. t =l/v ; l- line lenght; v- signal speed. If line is not tuned up, then there are distortions in line because of reflections in line: If signal E(t) is step function: Then signal in line exit in discrete time moments will be: U(0) = p; U(t) = p*(1+pb) U(2t) = p*(1+pb+pa*pb) U(3t) = p*(1+pb+pa*pb+pa*pb^2); U(4t) = p*(1+pb+pa*pb+pa*pb^2+pa^2*pb^2); U(5t) = p*(1+pb+pa*pb+pa*pb^2+pa^2*pb^2+pa^2*pb^3) â€¦ where Depending on reflectance …