z2gamma

Convert impedance to reflection coefficient

Syntax

gamma = z2gamma(z)

gamma = z2gamma(z,z0)

Description

gamma = z2gamma(z) converts the impedance z to the reflection coefficient gamma using a reference impedance of 50 ohms.

gamma = z2gamma(z,z0) converts the impedance z to the reflection coefficient gamma using a reference impedance of z0 ohms.

Examples

Impedance to Reflection Coefficient

Convert an impedance of 100 ohms into a reflection coefficient, using a 50-ohm reference impedance

z = 100;
gamma = z2gamma(z)

gamma = 
0.3333

Input Arguments

z — Impedance value

positive scalar

Impedance value, specified as a positive scalar.

Data Types: double

z0 — Reference impedance

50 (default) | positive scalar

Reference impedance, specified as a positive scalar.

Data Types: double

Output Arguments

gamma — Reflection coefficient

M element complex vector

Reflection coefficient, returned as a M element complex vector.

Algorithms

z2gamma calculates the coefficient using the equation

$$\Gamma =\frac{Z-Z_0}{Z+Z_0}$$

Version History

Introduced in R2008a