CN106405288A - Method for obtaining electromagnetic transmission matrix of linear impedance stabilization network - Google Patents

Abstract

The invention discloses a method for obtaining an electromagnetic transmission matrix of a linear impedance stable network under working conditions, using known impedance resistors and a vector network analyzer. First, use an impedance analyzer to obtain the impedance amplitude-frequency and phase-frequency relationship of a known resistance in a specified frequency band; secondly, use the disclosed measurement configuration method to connect the resistance, vector network analyzer and linear impedance stabilization network; then , using a vector network analyzer to obtain the electromagnetic scattering matrix between the ports of the linear impedance stabilization network under the measurement configuration; then the method disclosed in the present invention solves the inherent electromagnetic transmission matrix of the linear impedance stabilization network. The electromagnetic transmission matrix can characterize the inherent properties of the linear impedance stabilization network for modeling or auxiliary testing work.

Description

A Method for Obtaining Electromagnetic Transmission Matrix of Linear Impedance Stabilized Network

technical field

The invention relates to a method for obtaining an electromagnetic transmission matrix of a linear impedance stable network in a working state, and belongs to the field of electromagnetic compatibility.

Background technique

Before an electronic device can be typed or marketed, it must meet the limits specified in the appropriate military or civilian standard. Generally speaking, the corresponding standards (such as the national military standard GJB-151B "Military Equipment and Subsystem Electromagnetic Emission and Sensitivity Requirements and Measurements") stipulate that when measuring the electromagnetic conduction emission of electronic equipment, it needs to be in the power grid and the electronic equipment under test A linear impedance stabilization network is inserted between the power lines of the The function of the linear impedance stabilization network is: 1) to provide a stable impedance for the power line of the tested product within the entire frequency range of the conducted emission measurement, to ensure the consistency between the measurement sites; 2) to prevent external conduction on the power grid Noise interferes with measurements. The form of the linear impedance stabilization network stipulated by GJB-151B is shown in Figure 1.

The electromagnetic transmission matrix refers to a parameter for analyzing microwave circuit networks introduced in the literature (“D.M.Pozar, Microwave engineering. John Wiley & Sons, 2009”), also known as the ABCD parameter. In some tests and modeling, it is necessary to obtain the electromagnetic transmission matrix of the linear impedance stabilization network from the measurement port to the port connected to the DUT. Theoretically, the electromagnetic transmission matrix of a linear impedance-stabilized network can be calculated using its capacitors, inductors and other electronic components and their layout. However, due to the existence of parasitic parameters and the need to connect the power grid and other cables during actual measurement, it is not possible to directly use the values of ideal electronic components to directly calculate the electromagnetic transmission parameters of the linear impedance stabilization network. Therefore, the invention discloses a method for obtaining the electromagnetic transmission matrix of the linear impedance stabilization network under the actual working state by using a resistance with known impedance and a vector network analyzer.

Contents of the invention

The technical problem of the present invention is to overcome the deficiencies of the prior art, provide a method for obtaining the electromagnetic transmission matrix of the linear impedance stable network, and use the resistance of the known impedance and the vector network analyzer to measure its electromagnetic transmission matrix, which can simply and accurately obtain the linear impedance The electromagnetic transmission matrix of the impedance stabilization network in the actual working state is convenient for accurate modeling and analysis of the linear impedance stabilization network.

The technical solution of the present invention: a method for obtaining the electromagnetic transmission matrix of a linear impedance stable network. First, use an impedance analyzer to obtain the impedance amplitude-frequency and phase-frequency relationship of a known resistance in a specified frequency band; secondly, use the measurement configuration Method, connect resistance, vector network analyzer and linear impedance stabilization network; Then, use vector network analyzer to obtain the electromagnetic scattering matrix between the ports of linear impedance stabilization network under the measurement configuration; Afterwards, the method disclosed in the present invention solves the linear impedance stabilization The electromagnetic transmission matrix inherent to the network. The electromagnetic transmission matrix can characterize the inherent properties of the linear impedance stabilization network for modeling or auxiliary testing work.

As shown in Figure 2, the present invention comprises the following steps:

Step 1: Measure the impedance value of the calibration resistor within the specified frequency band

And according to the measurement frequency band, select two known resistors whose rated current is greater than the rated current of the linear impedance stabilization network to be tested, and the rated impedance values of these two resistors should be different. Use a precision impedance analyzer (such as the WK6500B precision impedance analyzer of Wenke Company in the United Kingdom) to obtain the impedance values of two known resistances at several frequency points within the measurement frequency band and record them as Z _m1 and Z _m2 respectively.

Step 2: Measure the electromagnetic scattering matrix of the entire network according to the measurement configuration disclosed in the present invention

Connect the grid interface of two linear impedance stabilization networks of the same type to the live wire and neutral wire in the grid, the ground wire to the safety ground wire of the grid, and the RF measurement interface to a vector network analyzer (such as the E5080A model of Keysight Technologies, Inc. measurement port 1 and measurement port 2 of the vector network analyzer).

Connect the known resistance Z _m1 to the interface of the tested object of two linear impedance stabilization networks. Use a vector network analyzer to measure the electromagnetic scattering parameter matrix in the specified frequency band and save it as S _m1 , and use the literature ("DMPozar, Microwaveengineering.John Wiley&Sons, 2009") to calculate the relationship between the electromagnetic transmission matrix and the electromagnetic scattering matrix The B-parameters and C-parameters of the electromagnetic transmission matrix of the whole network are denoted as and

Connect the known resistance Z _m2 to the interface of two linear impedance stabilization networks, measure the electromagnetic scattering parameter matrix of the specified frequency band with a vector network analyzer and save it as S _m2 . And use the relationship between the electromagnetic transmission matrix and the electromagnetic scattering matrix given in the literature (“DMPozar, Microwaveengineering.John Wiley & Sons, 2009”) to calculate the B parameter and C parameter of the electromagnetic transmission matrix of the entire network, denoted as and

Step 3: Calculate the electromagnetic transmission matrix of the linear impedance stabilization network according to the electromagnetic scattering matrix

Step 301: Calculate the electromagnetic transmission matrix of the equivalent network using the microwave analysis method

According to the method of microwave theory, the circuit between the RF measurement interfaces of the two linear impedance stabilization networks in step 2 can be divided into three equivalent networks N ₁ , N ₂ and N ₃ , and the electromagnetic transmission matrices of the three networks are A _NET1 , A _NET2 , and A _NET3 . Among them, since the two linear impedance stabilization networks used in step two are of the same model, and the connection method of the resistance Z _m1 or Z _m2 to the interface of the test object of the two linear impedance stabilization networks is known, the equivalent network 1 and equivalent network 3 (N ₁ and N ₃ ) are mirror symmetrical networks. Therefore, the relationship of A ₁ =D ₃ , B ₁ =B ₃ , C ₁ =C ₃ , and D ₁ =A ₃ exists in the electromagnetic transmission matrices of the two networks. When the resistance when the impedance is Z _m1 is connected between the interfaces of the two impedance stabilization networks, the transmission matrix of network 2 can be expressed as:

Then the transmission matrix of the entire equivalent circuit network can be calculated as:

Step 302: Calculate the intrinsic electromagnetic parameter matrix of the linear impedance stabilization network

Consider the B and C parameters of the transfer matrix, namely:

Step 2 respectively connects two resistance values with known impedance values Z _m1 and Z _m2 , then the equations can be listed according to formula (3):

In the formula and are the B parameters of the transmission matrix of the entire system when Z _m1 and Z _m2 are connected, and are obtained by step 2. Using (4), it can be obtained that the A parameter of the electromagnetic transmission matrix of network 1 (linear impedance stable network) is:

Considering that the real part of A ₁ is generally a positive number, the value in which the real part is a positive number is taken. After obtaining the value of A1, the B parameter of the electromagnetic transmission matrix of network ₁ can be obtained as:

Similarly, in step 2, two resistors with known impedance values Z _m1 and Z _m2 are respectively connected, then the equations can be listed according to formula (3):

In the formula and are the C parameters of the transmission matrix of the entire system when Z _m1 and Z _m2 are connected, and are obtained by step 2. The C parameter of the electromagnetic transmission matrix of network 1 (linear impedance stable network) can be obtained as:

Considering that the real part of C ₁ is generally a positive number, the value in which the real part is a positive number is taken. After obtaining the value of _C1 , the D parameter of the electromagnetic transmission matrix of network 1 can be obtained as:

Since the electromagnetic transmission matrix of the entire network 1 (that is, the linear impedance stable network to be measured) has four elements of the electromagnetic transmission parameter matrix A _LISN , A ₁ , B ₁ , C ₁ and D ₁ , namely Then the electromagnetic transmission parameter matrix A _LISN of the entire network 1 (ie, the linear impedance stabilization network to be measured) can be obtained by combining the results of equations (5), (6), (8) and (9).

The advantages of the present invention and prior art are:

The invention discloses a method for obtaining an electromagnetic transmission matrix of a linear impedance stable network under working conditions by using a known impedance resistance and a vector network analyzer. The invention mainly uses a resistance, impedance analyzer and a vector network analyzer for measurement, the measurement method is relatively simple, the accuracy is high, and the efficiency of the test is improved. In addition, the present invention can be carried out when the linear impedance stabilization network is connected to the power grid, and the measurement results are more targeted, and can characterize the inherent properties of the linear impedance stabilization network for modeling or auxiliary testing work.

Description of drawings

Figure 1 is a schematic diagram of the linear impedance stabilization network circuit specified by GJB-151B;

Fig. 2 is the realization flow chart of the method of the present invention,

Fig. 3 is a schematic diagram of the calibration configuration method disclosed in the present invention;

Figure 4 is an equivalent circuit diagram of the calibration configuration;

Fig. ₅ is the impedance value (magnitude) _of R1 and R2 resistance in the measurement frequency band;

Fig. ₆ is the impedance value (phase) _of R1 and R2 resistance in the measurement frequency band;

Fig. 7 is the electromagnetic transmission matrix diagram (amplitude) of linear impedance stabilization network example;

Figure 8 is an electromagnetic transfer matrix diagram (phase) of an example linear impedance stabilization network.

detailed description

The present invention will be described in further detail below in conjunction with the accompanying drawings and examples.

Taking the NBL8225 linear impedance stabilization network (circuit schematic diagram shown in FIG. 1 ) of the German Schwarzbeck Company as an example, the detailed steps disclosed in the method are described. The values of resistance, capacitance and inductance in Figure 1 are clearly specified by the corresponding military standards (such as the national military standard GJB-151B "Electromagnetic Emission and Sensitivity Requirements and Measurements of Military Equipment and Subsystems"). The linear impedance stabilization network mainly has 3 interfaces, two of which are respectively connected to the power grid and the tested product, and the other is a coaxial measurement interface, which is used to connect to the test instrument.

As shown in Figure 2, the present invention specifically comprises the following steps:

Step 1: Measure the impedance value of the tested resistance within the specified frequency band

Determine the measurement frequency band (100kHz ~ 30MHz), and according to the measurement frequency band, select two resistors whose rated current is greater than the rated current of the linear impedance stabilization network to be tested. The rated resistance values of these two resistors are different.

Use a precision impedance analyzer (such as the WK6500B precision impedance analyzer of British Wenke Company) to obtain the impedance values of two resistors at several frequency points within the measurement frequency band (for example, the impedance values of frequency f _i are respectively recorded as Z _m1 ( f _i ) and Z _m2 (f _i )), the impedance values of the two resistors in the entire frequency band are recorded as Z _m1 and Z _m2 respectively. The impedance amplitude-frequency relationship and phase-frequency relationship of the two resistors are shown in Figure 3 and Figure 4.

Step 2: Measure the electromagnetic scattering matrix of the entire network according to the measurement configuration disclosed in the present invention

Referring to Figure 5, the configuration method disclosed in the present invention has the following main points:

(1) The grid interfaces of two linear impedance stabilization networks of the same type (respectively denoted as L ₁ and L ₂ ) are respectively connected to the live wire and the neutral wire in the grid.

(2) The ground wires of the linear impedance stabilization network (L ₁ and L ₂ ) are both connected to the safety ground wire of the grid.

(3) The radio frequency measurement port of the linear impedance stabilization network (L ₁ and L ₂ ), connect the measurement port 1 and measurement port 2 of the vector network analyzer according to the connection method in Fig. 1 .

Step 201: Measure the electromagnetic scattering matrix when the resistance Z _m1 is connected, and calculate the B parameter and C parameter of the electromagnetic transmission matrix of the entire network at this time and

Connect the known resistance Z _m1 to the interface Pe ₁ and Pe ₂ of the two linear impedance stabilization networks L ₁ and L ₂ , as shown in Figure 3. Adjust the vector network analyzer to measure the electromagnetic scattering parameter matrix in the specified frequency band (100kHz～30MHz), and save the amplitude and phase of the matrix at different frequency points in the computer. At this time, the electromagnetic scattering matrix is recorded as S _m1 , as shown in the formula (10) shown.

Using the relationship between the electromagnetic transmission matrix and electromagnetic scattering matrix given in the literature (“DMPozar, Microwave engineering. John Wiley & Sons, 2009”), that is, formula (11) to calculate the B parameters and C parameters of the electromagnetic transmission matrix of the entire network, denoted respectively as and

In the formula, Z ₀ is the characteristic impedance of the vector network analyzer measurement port, which is 50 ohms in the present invention.

Step 202: Measure the electromagnetic scattering matrix when the resistance Z _m2 is connected, and calculate the B parameter and C parameter of the electromagnetic transmission matrix of the entire network at this time and

Remove the resistance Z _m1 connected in step 201, and connect the known resistance Z _m2 between the interfaces Pe ₁ and Pe ₂ of the tested object of the two linear impedance stabilization networks L ₁ and L ₂ , as shown in FIG. 3 . Similar to step 201, measure the electromagnetic scattering parameter matrix of the specified frequency band with a vector network analyzer and save it as S _m2 . Use the method of step 201 to calculate the B parameter and C parameter of the electromagnetic transmission matrix of the whole network, denoted as and

Step 3: Calculate the electromagnetic transmission matrix of the linear impedance stabilization network according to the electromagnetic scattering matrix

According to the method of microwave theory, the equivalent circuit diagram of the measurement configuration can be listed, as shown in Figure 6. In this step, the inherent electromagnetic transmission matrix of the linear impedance stabilization network is calculated according to the electromagnetic scattering matrix measured in the second step.

Step 301: Calculate the electromagnetic transmission matrix of the equivalent network

In Fig. 6, the equivalent circuit of the measurement configuration can be divided into three equivalent networks N ₁ , N ₂ and N ₃ , and the transmission matrices of the three networks are A _NET1 , A _NET2 and A _NET3 , which can be expressed as:

Among them, if a resistor whose impedance is _Zm is connected during calibration, the transmission matrix of network 2 can be expressed as:

Then the transmission matrix of the whole network can be calculated as:

Since network 1 and network 3 are mirror symmetrical networks, A ₁ =D ₃ , B ₁ =B ₃ , C ₁ =C ₃ , D ₁ =A ₃ , then the transmission matrix of the network shown in Figure 6 is:

Step 302: Calculate the intrinsic electromagnetic parameter matrix of the linear impedance stabilization network

Consider the B parameter and C parameter of the transmission matrix of formula (15), namely:

In step 201 and step 202, two resistance values with known impedance values Z _m1 and Z _m2 are respectively connected, then the equations can be listed:

In the formula and are the B parameters of the transmission matrix of the entire system when Z _m1 and Z _m2 are connected, and can be obtained. The A parameter of the electromagnetic transmission matrix of network 1 (linear impedance stable network) is:

Considering that the real part of A ₁ is generally a positive number, the value in which the real part is a positive number is taken. After obtaining the value of A1, the B parameter of the electromagnetic transmission matrix of network ₁ can be obtained as:

Similarly, in step 201 and step 202, two resistance values with known impedance values Z _m1 and Z _m2 are respectively connected, then the equations can be listed according to formula (16):

In the formula and are the C parameters of the transmission matrix of the whole system when Z _m1 and Z _m2 are connected, respectively. It can be obtained that the C parameter of the electromagnetic transmission matrix of network 1 (linear impedance stable network) is:

Considering that the real part of C ₁ is generally a positive number, the value in which the real part is a positive number is taken. After obtaining the value of _C1 , the D parameter of the electromagnetic transmission matrix of network 1 can be obtained as:

The results of formulas (18), (19), (21) and (22) can construct the electromagnetic transmission parameter matrix of network 1 (that is, the linear impedance stable network to be measured) As shown in Figure 7 and Figure 8. Fig. 7 is the amplitude-frequency diagram of each element in the electromagnetic transmission matrix of the example of the linear impedance stabilization network to be measured, and Fig. 8 is the phase-frequency diagram of each element in the electromagnetic transmission matrix of the example of the linear impedance stabilization network to be measured.

The above embodiments are provided only for the purpose of describing the present invention, not to limit the scope of the present invention. The scope of the invention is defined by the appended claims. Various equivalent replacements and modifications made without departing from the spirit and principle of the present invention shall fall within the scope of the present invention.

Claims (2)

1. A method for obtaining a linear impedance-stabilized network electromagnetic transmission matrix, characterized in that it comprises steps as follows: Step 1: Measure the impedance value of the tested resistance within the specified frequency band According to the measurement frequency band, select 2 known resistors whose rated current is greater than the rated current of the linear impedance stabilization network to be tested. The rated impedance values of these two resistors should be different; respectively obtain the impedance of the 2 known resistors at several frequency points within the measurement frequency band The values are recorded as Z _m1 and Z _m2 respectively; Step 2: Measure the configuration and measure the electromagnetic scattering matrix of the linear impedance stabilization network Connect the grid interface of two linear impedance stabilization networks of the same type to the live wire and neutral wire in the grid, the ground wire to the safety ground wire of the grid, and the RF measurement interface to the measurement port 1 and measurement port 2 of the vector network analyzer; Connect the known resistance Z _m1 to the interface of the tested product of two linear impedance stabilization networks, use a vector network analyzer to measure the electromagnetic scattering parameter matrix of the specified frequency band and save it as S _m1 , and according to the electromagnetic transmission matrix and electromagnetic scattering matrix The relationship between calculates the B parameters and C parameters of the electromagnetic transmission matrix of the entire linear impedance stabilization network, which are denoted as and Connect the known resistance Z _m2 to the two interfaces of the linear impedance stabilization network under test, measure the electromagnetic scattering parameter matrix of the specified frequency band with a vector network analyzer and save it as S _m2 , and according to the relationship between the electromagnetic transmission matrix and the electromagnetic scattering matrix Calculate the B-parameter and C-parameter of the electromagnetic transmission matrix of the whole linear impedance stabilization network, denoted as and Step 3: Solve the inherent electromagnetic transmission matrix of the linear impedance stabilization network according to the electromagnetic scattering matrix. 2. A method for obtaining the electromagnetic transmission matrix of a linear impedance-stabilized network according to claim 1, characterized in that: said step 3, solving the inherent electromagnetic transmission matrix of the linear impedance-stabilized network according to the electromagnetic scattering matrix The formula for each element is as follows: ${\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; =</span><span\; class="notranslate">\; \&PlusMinus;</span>\sqrt{\frac{{\mathrm{<span\; class="notranslate">\; B</span>}}_{{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 1</span>}}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; B</span>}}_{{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 2</span>}}}}{{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 2</span>}}}}<span\; class="notranslate">\; ,</span>{\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; =</span>\frac{<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; B</span>}}_{{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 1</span>}}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; B</span>}}_{{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 2</span>}}}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; )</span>}{\mathrm{<span\; class="notranslate">\; 4</span>}{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}}<span\; class="notranslate">\; ,</span>$ ${\mathrm{<span\; class="notranslate">\; C</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; =</span><span\; class="notranslate">\; \&PlusMinus;</span>\sqrt{\frac{{\mathrm{<span\; class="notranslate">\; C</span>}}_{{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 1</span>}}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; C</span>}}_{{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 2</span>}}}}{{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 2</span>}}}}<span\; class="notranslate">\; ,</span>{\mathrm{<span\; class="notranslate">\; D.</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; =</span>\frac{<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; C</span>}}_{{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 1</span>}}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; C</span>}}_{{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 2</span>}}}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; C</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; Z</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; )</span>}{\mathrm{<span\; class="notranslate">\; 4</span>}{\mathrm{<span\; class="notranslate">\; C</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}}$ Solving the above formulas separately, the individual elements of the electromagnetic transmission matrix inherent to the linear impedance stabilization network can be obtained.