# Documentation

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# 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

collapse all

Calculate impedance from given reference impedance and reflection coefficient values

```z0 = 50; gamma = 1/3; z = gamma2z(gamma,z0) ```
```z = 100.0000 ```

## Algorithms

The following equation shows this conversion:

`$Z={Z}_{0}*\left(\frac{1+\Gamma }{1-\Gamma }\right)$`