Convert reflection coefficient to impedance
z = gamma2z(gamma)
z = gamma2z(gamma,z0)
example
z = gamma2z(gamma) converts the reflection coefficient gamma to the impedance z using a reference impedance Z0 of 50 ohms.
z
gamma
z = gamma2z(gamma,z0) converts the reflection coefficient gamma to the impedance z by:
z0
Computing the normalized impedance.
Multiplying the normalized impedance by the reference impedance Z0.
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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
reflection coefficient specified as a Γ.
50
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.
Impedance obtained from reflection coefficient, returned as z
The following equation shows this conversion:
Z=Z0*(1+Γ1−Γ)
[1] Ludwig, Reinhold, and Gene Bogdanov. RF Circuit Design: Theory and Applications. Prentice-Hall, 2009.
gammain | gammaout | z2gamma
gammain
gammaout
z2gamma
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