# 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.```

example

````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

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Calculate impedance from given reference impedance and reflection coefficient values

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

## Input Arguments

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Reflection coefficient specified as a scalar.

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

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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.

## Version History

Introduced in R2007a