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gamma2z

Convert reflection coefficient to impedance

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Syntax

z = gamma2z(gamma)
z = gamma2z(gamma,z0)

Description

example

z= gamma2z(gamma)converts the reflection coefficientgammato the impedancezusing a reference impedanceZ0of 50 ohms.

z= gamma2z(gamma,z0)converts the reflection coefficientgammato the impedancezby:

  • Computing the normalized impedance.

  • Multiplying the normalized impedance by the reference impedanceZ0.

Examples

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Open Live Script

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 Γ.

Reference impedance, specified in scalar as ohms.

Note

z0must be a positive real scalar or vector. Ifz0is 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 asz

Algorithms

The following equation shows this conversion:

Z = Z 0 * ( 1 + Γ 1 − Γ )

References

[1]路德维格莱因霍尔德,创e Bogdanov.RF Circuit Design: Theory and Applications. Prentice-Hall, 2009.

Version History

Introduced in R2007a

See Also

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