abcd2z

Convert ABCD-parameters to Z-parameters

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Syntax

z_params = abcd2z(abcd_params)

Description

example

z_params = abcd2z(abcd_params) converts the ABCD-parameters to the impedance parameters.

Examples

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Convert ABCD-Parameters to Z-Parameters

Open Live Script

Define a matrix for ABCD-parameters.

A =      0.999884396265344 +  0.000129274757618717i;
B =      0.314079483671772 +      2.51935878310427i;
C = -6.56176712108866e-007 + 6.67455405306704e-006i;
D =      0.999806365547959 +  0.000247230611054075i;
abcd_params = [A,B; C,D];

Convert ABCD-parameters to Z-parameters.

z_params = abcd2z(abcd_params)

z_params = 2×2 complex
10⁵ ×

  -0.1457 - 1.4837i  -0.1453 - 1.4835i
  -0.1459 - 1.4839i  -0.1455 - 1.4836i

Input Arguments

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`abcd_params` — 2N-port ABCD-parameters
2N-by-2N-by-M array of complex numbers

2N-port- ABCD-parameters, specified as a 2N-by-2N-by-M array of complex numbers, where M representing number of frequency points of 2N-port ABCD-parameters.

The function assumes that the ABCD-parameters matrices have distinct A, B, C, and D submatrices:

$[\begin{matrix} [A] & [B] \\ [C] & [D] \end{matrix}]$

Output Arguments

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`z_params` — 2N-port Z-parameters
2N-by-2N-by-M array of complex numbers

2N-port Z-parameters, returned as a 2N-by-2N-by-M array of complex numbers, where M represents the number of frequency points of 2N-port Z-parameters.