gamma2z

Convert reflection coefficient to impedance

Syntax

z = gamma2z(gamma)

z = gamma2z(gamma,z0)

Description

z = gamma2z(gamma) converts the reflection coefficient gamma to the impedance z using a reference impedance Z₀ of 50 ohms.

z = gamma2z(gamma,z0) converts the reflection coefficient gamma to the impedance z by:

• Computing the normalized impedance.

• Multiplying the normalized impedance by the reference impedance Z₀.

Examples

Impedance Calculation

Calculate impedance from given reference impedance and reflection coefficient values

z0 = 50;
gamma = 1/3;
z = gamma2z(gamma,z0)

z = 100.0000

Input Arguments

gamma — reflection coefficient

reflection coefficient specified as a Γ.

z0 — Reference impedance

50 (default)

Reference impedance, specified in scalar as ohms.

Note

z0 must be a positive real scalar or vector. If z0 is a vector, then the vector must be equal to the number of network parameter data points or frequency vector.

Output Arguments

z — Impedance

array

Impedance obtained from reflection coefficient, returned as z

Algorithms

The following equation shows this conversion:

$$Z=Z_0*\left(\frac{1+\Gamma }{1-\Gamma }\right)$$

References

[1] Ludwig, Reinhold, and Gene Bogdanov. RF Circuit Design: Theory and Applications. Prentice-Hall, 2009.