sycan.network_params¶

Network-parameter conversions for two-port (and n-port where it applies) representations: Z, Y, S, ABCD, T.

Conventions follow Pozar, Microwave Engineering:

Z (impedance): V = Z @ I
Y (admittance): I = Y @ V
S (scattering): b = S @ a with reference impedance Z0
ABCD (chain): [V1; I1] = ABCD @ [V2; -I2] (2-port only)
T (transfer): [a1; b1] = T @ [b2; a2] (2-port only)

All matrices are sympy.Matrix so the same code works for symbolic parameters and for numeric evaluation via .subs(...) / .evalf(). Z0 defaults to 50 Ω; pass a sympy Symbol for symbolic work or a sympy Matrix (diagonal) for n-port with per-port reference impedances.

Functions

`abcd_to_s`(M[, Z0])	ABCD → S, single real reference impedance Z0 on both ports.
`abcd_to_y`(M)
`abcd_to_z`(M)
`s_to_abcd`(S[, Z0])	S → ABCD, single real reference impedance Z0 on both ports.
`s_to_t`(S)	S → T, with [a1; b1] = T·[b2; a2] (Pozar convention).
`s_to_y`(S[, Z0])	Y = Y0·(I − S)·(I + S)⁻¹ with Y0 = 1/Z0.
`s_to_z`(S[, Z0])	Z = (I − S)⁻¹·(I + S)·Z0 (n-port, real Z0).
`t_to_s`(T)
`y_to_abcd`(Y)
`y_to_s`(Y[, Z0])	S = (I − Z0·Y)·(I + Z0·Y)⁻¹.
`y_to_z`(Y)	Z = Y⁻¹ (n-port).
`z_to_abcd`(Z)
`z_to_s`(Z[, Z0])	S = (Z − Z0)·(Z + Z0)⁻¹ (n-port, real Z0).
`z_to_y`(Z)	Y = Z⁻¹ (n-port).

sycan.network_params.z_to_y(Z)[source]¶

Y = Z⁻¹ (n-port).

Parameters:: Z (MutableDenseMatrix | list | tuple)
Return type:: MutableDenseMatrix

sycan.network_params.y_to_z(Y)[source]¶

Z = Y⁻¹ (n-port).

Parameters:: Y (MutableDenseMatrix | list | tuple)
Return type:: MutableDenseMatrix

sycan.network_params.z_to_s(Z, Z0=50)[source]¶

S = (Z − Z0)·(Z + Z0)⁻¹ (n-port, real Z0).

Parameters:

Z (MutableDenseMatrix | list | tuple)
Z0 (Expr | int | float | MutableDenseMatrix)

Return type:

MutableDenseMatrix

sycan.network_params.s_to_z(S, Z0=50)[source]¶

Z = (I − S)⁻¹·(I + S)·Z0 (n-port, real Z0).

Parameters:

S (MutableDenseMatrix | list | tuple)
Z0 (Expr | int | float | MutableDenseMatrix)

Return type:

MutableDenseMatrix

sycan.network_params.y_to_s(Y, Z0=50)[source]¶

S = (I − Z0·Y)·(I + Z0·Y)⁻¹.

Parameters:

Y (MutableDenseMatrix | list | tuple)
Z0 (Expr | int | float | MutableDenseMatrix)

Return type:

MutableDenseMatrix

sycan.network_params.s_to_y(S, Z0=50)[source]¶

Y = Y0·(I − S)·(I + S)⁻¹ with Y0 = 1/Z0.

Parameters:

S (MutableDenseMatrix | list | tuple)
Z0 (Expr | int | float | MutableDenseMatrix)

Return type:

MutableDenseMatrix

sycan.network_params.z_to_abcd(Z)[source]¶

Parameters:: Z (MutableDenseMatrix | list | tuple)
Return type:: MutableDenseMatrix

sycan.network_params.abcd_to_z(M)[source]¶

Parameters:: M (MutableDenseMatrix | list | tuple)
Return type:: MutableDenseMatrix

sycan.network_params.y_to_abcd(Y)[source]¶

Parameters:: Y (MutableDenseMatrix | list | tuple)
Return type:: MutableDenseMatrix

sycan.network_params.abcd_to_y(M)[source]¶

Parameters:: M (MutableDenseMatrix | list | tuple)
Return type:: MutableDenseMatrix

sycan.network_params.abcd_to_s(M, Z0=50)[source]¶

ABCD → S, single real reference impedance Z0 on both ports.

Parameters:

M (MutableDenseMatrix | list | tuple)
Z0 (Expr | int | float | MutableDenseMatrix)

Return type:

MutableDenseMatrix

sycan.network_params.s_to_abcd(S, Z0=50)[source]¶

S → ABCD, single real reference impedance Z0 on both ports.

Parameters:

S (MutableDenseMatrix | list | tuple)
Z0 (Expr | int | float | MutableDenseMatrix)

Return type:

MutableDenseMatrix

sycan.network_params.s_to_t(S)[source]¶

S → T, with [a1; b1] = T·[b2; a2] (Pozar convention).

Parameters:: S (MutableDenseMatrix | list | tuple)
Return type:: MutableDenseMatrix

sycan.network_params.t_to_s(T)[source]¶

Parameters:: T (MutableDenseMatrix | list | tuple)
Return type:: MutableDenseMatrix