skrf.network.y2s¶

skrf.network.y2s(y, z0=50, s_def='power')[source]¶

convert admittance parameters 1 to scattering parameters 2

For power-waves, from 3:

\[S = F (1 – G Y) (1 + G Y)^{-1} F^{-1}\]

where \(G = diag([Z_0])\) and \(F = diag([1/2\sqrt{|Re(Z_0)|}])\)

For pseudo-waves, Eq.(73) from 4:

\[S = U (Y^{-1} - G) (Y^{-1} + G)^{-1} U^{-1}\]

where \(U = \sqrt{Re(Z_0)}/|Z_0|\)

Parameters

y (complex array-like) – admittance parameters
z0 (complex array-like or number) – port impedances
s_def (str -> s_def : can be: 'power', 'pseudo' or 'traveling') – Scattering parameter definition : ‘power’ for power-waves definition 3, ‘pseudo’ for pseudo-waves definition 4. ‘traveling’ corresponds to the initial implementation. Default is ‘power’.

Returns

s – scattering parameters

Return type

complex array-like or number