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