# Impulse signal distortion in transmission line

(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)/(ZaZb)

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:

Then signal in line exit in discrete time moments will be:

U(0) = p;

U(t) = p*(1 pb)

U(2t) = p*(1 pbpa*pb)

U(3t) = p*(1 pbpa*pbpa*pb^2);

U(4t) = p*(1 pbpa*pbpa*pb^2 pa^2*pb^2);

U(5t) = p*(1 pbpa*pbpa*pb^2 pa^2*pb^2 pa^2*pb^3) a€|

where

Depending on reflectance coefficients and their signs distortions can differentiate or integrate:

Real model using MathCAD was implemented to see how signal looks like on exit depending on parameters. Below you see used algorithm structure used in modeling:

Algorithm Part 1

Algorithm Part 2

One of results using trapezoid signal:

In exit we get distorted signal.

Download yourMathCADTransmition Line (13, 12 and 2001i versions ) file to test with various parameters and different signal shapes.

Reprinted Url Of This Article:

http://www.scienceprog.com/impulse-signal-distortion-in-transmition-line/

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