WO2019216559A1

WO2019216559A1 - Lc balun

Info

Publication number: WO2019216559A1
Application number: PCT/KR2019/004359
Authority: WO
Inventors: 안달; 이대웅; 장유나; 구서
Original assignee: 순천향대학교 산학협력단
Priority date: 2018-05-10
Filing date: 2019-04-11
Publication date: 2019-11-14
Also published as: KR102038834B1

Abstract

The present invention relates to an LC balun having excellent phase and amplitude balance characteristics in a wide band, the LC balun comprising: a first LC circuit unit which includes: a first LC lumped element configured on the basis of a π-type CLC lumped element equivalent to a first transmission line having a first electrical length; and a first LC resonant circuit added to the first LC lumped element; and a second LC circuit unit which includes: a second LC lumped element configured on the basis of a π-type LCL lumped element equivalent to a second transmission line having a second electrical length; and a second LC resonant circuit added to the second LC lumped element.

Description

LC balun

The present invention relates to an LC balun composed of an inductor (L) and a capacitor (C), and more particularly to an LC balun having excellent phase and amplitude balance characteristics in a wide band.

In a wireless communication system, a balun for converting a balanced signal into an unbalanced signal or an unbalanced signal into a balanced signal is widely used. Wireless communication systems requiring such baluns generally include a double-balanced mixer, a push-pull amplifier, and the like.

Baluns required in wireless communication systems should have a small size and good phase and amplitude balance characteristics over a wide band. In order to satisfy this demand, various forms of balun have been studied.

Among them, the representative balun structure is the simplest form of balun

Transmission line having electrical length of

Two-line balun consisting of transmission line with electrical length of

The three-line balun consisting of three transmission lines having an electrical length of, and the Marchand balun consisting of two coupled sections.

However, this type of balun has the disadvantage of having a very narrow bandwidth with phase and amplitude balance characteristics. Thus, there is a need to develop new types of baluns with good phase and amplitude balance characteristics over a wide band.

It is an object of the present invention to solve the above and other problems. Yet another object is to provide an LC balun with good phase and amplitude balance characteristics in the wide band.

Still another object is to provide a first LC concentrator equivalent to a transmission line having a first electrical length, a second LC concentrator equivalent to a transmission line having a second electrical length, and a first LC concentrator to the first and second LC concentrators. It is to provide an LC balun including additional LC resonant circuits.

According to an aspect of the present invention for achieving the above or another object, a first LC concentrator configured using a π-type CLC concentrator equivalent to a first transmission line having a first electrical length, and the first LC concentrator A first LC circuit portion including a first LC resonant circuit added to the device; And a second LC concentrator formed using a π-type LCL concentrator equivalent to a second transmission line having a second electrical length, and a second LC resonant circuit added to the second LC concentrator. An LC balun comprising a circuit portion is provided.

More preferably, the first transmission line

A transmission line having an electrical length of

Characterized in that the transmission line having an electrical length of. The second transmission line may have the same impedance as the first transmission line.

More preferably, the first LC circuit portion is disposed between the first port and the second port, and the second LC circuit portion is disposed between the first port and the third port. In addition, the first and second LC circuit unit is implemented through low temperature co-fired ceramic (Low-Temperature-Co-fired-Ceramic, LTCC) technology.

More preferably, the first LC concentrator is configured by removing a capacitor connected to a first port in a π-type CLC concentrator, and the second LC concentrator is an inductor connected to a first port in a π-type LCL concentrator. Characterized in that it is configured to remove.

More preferably, the inductor of the first LC concentrator is composed of two inductors divided into two, and the first LC resonant circuit is added between the two inductors. In addition, the capacitor of the second LC concentrator is composed of two bisected capacitors, and the second LC resonant circuit is characterized in that it is added between the two capacitors.

More preferably, the inductor and capacitor values of the π-type CLC lumped element are

,

It is characterized in that calculated through. In addition, the inductor and capacitor values of the π-type LCL concentrator are expressed as

,

It is characterized in that calculated through.

More preferably, the inductor and capacitor values of the second LC resonant circuit are the same as the inductor and capacitor values of the first LC resonant circuit. In addition, the inductor and capacitor values of the first and second LC resonant circuits are

Characterized by satisfying. In addition, the first and second LC resonant circuit is characterized in that the LC parallel resonant circuit.

According to another aspect of the invention, the first LC circuit portion comprising a π-type CLC concentrator equivalent to the first transmission line having a first electrical length, and a first LC resonant circuit added to the π-type CLC concentrator; And a second LC circuit portion including a π LCL concentrator equivalent to a second transmission line having a second electrical length, and a second LC resonant circuit added to the π LCL concentrator. .

More preferably, the inductor of the π-type CLC concentrator is composed of two inductors divided into two, and the first LC resonant circuit is added between the two inductors. In addition, the capacitor of the π-type LCL concentrator is composed of two equally divided capacitors, and the second LC resonant circuit is added between the two capacitors.

Referring to the effect of the LC balun according to the embodiments of the present invention.

According to at least one of the embodiments of the present invention, by implementing a new type of LC balun using the simplest form of balun consisting of a transmission line having a first electrical length and a transmission line having a second electrical length, an existing balun Compared to the above, there is an advantage in that it can have a very good phase balance characteristic and amplitude balance characteristic in a wide band.

However, the effect that can be achieved by the LC balun according to the embodiments of the present invention is not limited to those mentioned above, and other effects that are not mentioned from the following description is a common knowledge in the art to which the present invention belongs. It will be clearly understood by those who have it.

1 is a configuration diagram of a balun consisting of two transmission lines having different electrical lengths;

2A to 2C are views referred to for explaining a process of obtaining a π-type CLC lumped element equivalent to a transmission line;

3A to 3C are views referred to for explaining a process of finding a? -Type LCL concentrator equivalent to a transmission line;

4 shows an LC circuit equivalent to the balun of FIG. 1 and the S parameter characteristics of the circuit;

FIG. 5 is a diagram showing an LC circuit from which the L / C connected to the first port is removed in the LC circuit of FIG. 4 and the S parameter characteristics of the corresponding circuit; FIG.

6 illustrates a circuit structure of an LC balun according to an embodiment of the present invention;

FIG. 7 illustrates a circuit structure in which the third port of FIG. 6 is terminated with Z ₀ ; FIG.

8 is a diagram comparing a passing signal between a balloon and a conventional balloon according to the present invention;

9 is a view comparing the reflected signal between the balun and the existing balun according to the present invention;

10 is a diagram comparing a phase difference between a balloon and a conventional balloon according to the present invention;

11 illustrates a circuit structure of an LC balun according to another embodiment of the present invention.

12 illustrates an LC balun implemented via an LTCC structure.

Hereinafter, embodiments of the present disclosure will be described in detail with reference to the accompanying drawings, and the same or similar components are denoted by the same reference numerals regardless of the reference numerals, and redundant description thereof will be omitted. The suffixes "module" and "unit" for components used in the following description are given or used in consideration of ease of specification, and do not have distinct meanings or roles from each other.

In addition, in describing the embodiments disclosed herein, when it is determined that the detailed description of the related known technology may obscure the gist of the embodiments disclosed herein, the detailed description thereof will be omitted. In addition, the accompanying drawings are intended to facilitate understanding of the embodiments disclosed herein, but are not limited to the technical spirit disclosed herein by the accompanying drawings, all changes included in the spirit and scope of the present invention. It should be understood to include equivalents and substitutes.

The present invention

Transmission line having electrical length of

We propose a new LC balun based on the simplest balun consisting of a transmission line with an electrical length of.

Hereinafter, various embodiments of the present invention will be described in detail with reference to the accompanying drawings.

1 is a configuration diagram of a balun consisting of two transmission lines having different electrical lengths.

Referring to Figure 1, the balun 100 of the simplest form of the existing balun

A first transmission line 110 having an electrical length of

It consists of a second transmission line 120 having an electrical length of.

The balun 100 branches the first signal S ₁ input from the first port P ₁ into two signals and outputs a second signal S ₂ toward the second port P ₂ . The third signal S ₃ may be output in the direction of the third port P ₃ . At this time, the second signal S ₂ output in the direction of the second port P ₂ and the third signal S ₃ output in the direction of the third port P ₃ are 180 degrees at the center frequency f ₀ . Have a difference.

However, this type of balloon 100 has a problem that the size is very large due to the two transmission lines (110, 120). In order to solve this problem, the size of the balun can be reduced by converting the two

transmission lines

110 and 120 into a π-type LC concentrator. The π-type LC concentrator includes a π-type CLC concentrator and a π-type LCL concentrator.

2A to 2C are diagrams for explaining a process of obtaining a π-type CLC lumped element equivalent to a transmission line.

2A to 2C, the transmission line 210 having a specific impedance value may be converted into a π-type CLC concentrator (or π-type CLC circuit 220) having a specific passive element value. To this end, the transmission line 210 and the π-type CLC concentrator 220 are converted into an Even mode and an Odd mode, so that L / of the π-type CLC concentrator 220 satisfying an equivalent relationship with the transmission line 210. You can get the C value.

In the Even mode, the input admittance (Y _in ) of the transmission line 210 may be defined as Equation 1 below, and the input admittance (Y ′ _in ) of the π-type CLC concentrator 220 may be defined by Equation 2 below. Can be defined as: Since the input admittance Y _in of the transmission line 210 and the input admittance Y ' _{in of} the π-type CLC concentrator 220 are the same, the capacitor value of the π-type CLC concentrator 220 is It can be calculated as Equation 3.

Where Y ₀ is the admittance of the transmission line and θ is the electrical length of the transmission line.

Meanwhile, in the Odd mode, the input admittance (Y _in ) of the transmission line 210 may be defined as Equation 4 below, and the input admittance (Y ′ _in ) of the π-type CLC concentrator 220 may be defined as follows. It can be defined as 5. Since the input admittance Y _in of the transmission line 210 and the input admittance Y ' _{in of} the π-type CLC concentrator 220 are the same, the inductor value of the π-type CLC concentrator 220 is It can be calculated as shown in Equation 6.

Where Z ₀ is the impedance of the transmission line and θ is the electrical length of the transmission line.

By using Equation 3 and Equation 6 obtained in the above-described Even mode and Odd mode, the impedance is

L / C values of the π-type CLC concentrator 220 having an equivalent relationship with the P transmission line 210 may be obtained.

3A to 3C are views referred to for explaining a process of obtaining a π-type LCL lumped element equivalent to a transmission line.

3A to 3C, the transmission line 310 having a specific impedance value may be converted into a π-type LCL concentrator (or π-type LCL circuit 320) having a specific passive element value. To this end, the transmission line 310 and the π-type LCL concentrator 320 are converted into an Even mode and an Odd mode, so that L / of the π-type LCL concentrator 320 satisfying an equivalent relationship with the transmission line 310 is satisfied. You can get the C value.

In the Even mode, the input admittance (Y _in ) of the transmission line 310 may be defined as Equation 7 below, and the input admittance (Y ′ _in ) of the π-type LCL concentrator 320 may be defined by Equation 8 below. Can be defined as: Since the input admittance (Y _in ) of the transmission line 310 and the input admittance (Y ' _in ) of the π-type LCL concentrator 320 are the same, the inductor value of the π-type LCL concentrator 320 is expressed by the following equation. It can be calculated as shown in Equation 9.

On the other hand, in the Odd mode, the input admittance (Y _in ) of the transmission line 310 can be defined as Equation 10 below, and the input admittance (Y ' _in ) of the π-type LCL concentrator 320 is It can be defined as 11. Since the input admittance (Y _in ) of the transmission line 310 and the input admittance (Y ' _in ) of the π-type LCL concentrator 320 are the same, the capacitor value of the π-type LCL concentrator 320 is expressed by the following equation. It can be calculated as Equation 12.

By using Equations 9 and 12 obtained in the above-described Even mode and Odd mode, the impedance is

L / C values of the π-type LCL concentrator 320 having an equivalent relationship with the P transmission line 310 may be obtained.

4 is a diagram showing an LC circuit equivalent to the balun of FIG. 1 and the S parameter characteristics of the circuit.

Referring to FIG. 4, the first LC circuit 400 equivalent to the balun of FIG.

Π-type CLC concentrator 410 equivalent to the first transmission line 110 having an electrical length of

It may include a π-type LCL concentrator 420 equivalent to the second transmission line 210 having an electrical length of.

The π-type CLC concentrator 410 may be disposed between the first port and the second port, and the π-type CLC concentrator 420 may be disposed between the first port and the third port. On the other hand, although not shown in the figure, the? Type CLC concentrator 410 is disposed between the first port and the third port, and the? Type LCL concentrator 420 is disposed between the first port and the second port. It may be.

The value of the inductor L and the capacitor C constituting the π-type CLC concentrator 410 may be calculated through the above Equations 3 and 6, and the inductor constituting the π-type LCL concentrator 420. The values of (L) and capacitor (C) may be calculated by using Equations 9 and 12 described above.

In addition, the impedance values Z of the first transmission line 110 and the second transmission line 120 are equal to each other, and the electrical lengths of the first transmission line 110 and the second transmission line 120 are different from each other.

) Has a 180-degree difference, so that the L / C value of the π-type CLC concentrator 410 calculated through the above equation is equal to the L / C value of the π-type LCL concentrator 420.

In the first LC circuit 400, which is equivalent to the balun of FIG.

and

Is the center frequency (

= 3.5 GHz only), and the center frequency (

Farther away from

and

The gap is wider. Also, looking at the reflection characteristics of the S parameter,

It can be seen that the narrow bandwidth of 3.04GHz to 4.03GHz based on the -20dB.

In order to improve the narrow bandwidth characteristics of the first LC circuit 400, the second LC circuit is configured by removing the inductor L ₁ and the capacitor C ₁ connected to the first port from the first LC circuit 400. can do.

FIG. 5 is a diagram illustrating an LC circuit in which an inductor and a capacitor connected to a first port and an S parameter of the corresponding circuit are removed in the LC circuit of FIG. 4.

Referring to FIG. 5, the second LC circuit 500 may include a first LC concentrator 510 in which the capacitor C ₁ connected to the first port is removed from the π-type CLC concentrator 410 of FIG. 4. The π-type LCL concentrator 420 of FIG. 4 may include a second LC concentrator 520 from which the inductor L ₁ connected to the first port is removed.

The inductor L ₁ and the capacitor C ₁ connected in parallel to the first port have a center frequency (

Inductor (L ₁ ) and capacitor (C ₁ ) is the first LC circuit because it is shown to be open to the outside because it has a parallel resonance characteristic (i.e., because it has an infinite impedance at the resonance frequency) It may be configured to be removed (or omitted) at (400).

In the second LC circuit 500, looking at the transfer characteristic of the S parameter,

and

Is the center frequency (

= 3.5 GHz only), and the center frequency (

Farther away from

and

The gap is wider. But if we look at the reflection characteristics of the S parameter,

It can be seen that the characteristic of is improved compared to the first LC circuit (400).

By adding LC parallel resonant circuits between the first and second ports of the second LC circuit 500 and between the first and third ports, respectively, a new form having excellent phase and amplitude balance characteristics in a wide band can be obtained. LC baluns can be implemented.

6 is a diagram illustrating a circuit structure of an LC balun according to an embodiment of the present invention.

Referring to FIG. 6, the LC balun 600 according to an embodiment of the present invention is disposed between the first LC circuit part 610 disposed between the first port and the second port, and between the first port and the third port. The second LC circuit unit 620 may be included.

The first LC circuit unit 610,

A first LC concentrator 611 constructed using a π-type CLC concentrator 410 equivalent to the first transmission line 110 having an electrical length of 1, an inductor L _a and a capacitor C _a . The first LC parallel resonant circuit 613 may be included.

The first LC concentrator 611 may be configured by removing the capacitor C ₁ connected to the first port from the π-type CLC concentrator 410. The inductor L ₁ of the first LC concentrator 611 is connected in series with a line between the first port and the second port, and the capacitor C ₁ of the first LC concentrator 611 is the first port. It can be connected in parallel to the line between the and the second port.

The inductor L ₁ connected in series with the line between the first port and the second port may be composed of two bisected inductors L _1/2 . The first LC parallel resonant circuit 613 may be connected between two bisected inductors L _1/2 .

The second LC circuit unit 620,

A second LC concentrator 621 constructed using a π-type LCL concentrator 420 equivalent to a second transmission line 120 having an electrical length of 0, an inductor L _a and a capacitor C _a A second LC parallel resonant circuit 623 may be included.

The second LC concentrator 621 may be configured by removing the inductor L ₁ connected to the first port from the π-type LCL concentrator 420. The capacitor C ₁ of the second LC concentrator 621 is connected in series with a line between the first port and the third port, and the inductor L ₁ of the second LC concentrator 623 is the first port. It can be connected in parallel to the line between and the third port.

The capacitor C ₁ connected in series to the line between the first port and the third port may be composed of two bisected capacitors 2C ₁ . The second LC parallel resonant circuit 623 may be connected between two bisected capacitors 2C ₁ .

The inductor L ₁ and the capacitor C ₁ constituting the first LC concentrator 611 and the second LC concentrator 621 are calculated by the above Equations 3 and 6 or the above Equations 9 and 12. Can be.

The inductor constituting the 623 to 2 LC parallel resonant circuit (L _a) and a capacitor (C _a) is the same element and the inductor constituting the first 613 to the LC parallel resonance circuit (L _a) and a capacitor (C _a) Has a value. The device values L _a / C _{a of} the first and second LC parallel

resonant circuits

621 and 623 may be calculated using the S parameters S ₂₁ and S ₃₁ of the LC balun 600.

That is, the inductor L _a constituting the first and second LC parallel

resonant circuits

621 and 623 by calculating the S parameter of the LC balun 600 and applying the conditions that the ideal balun should have to the S parameter. the value of the capacitor (C _a) may be derived. Hereinafter, the first device and the value (L _a / C _a) of the second (621, 623) to the LC parallel resonance circuit to be described in detail the process of calculation.

To obtain the S parameter of the LC balun 600, first define the voltage (V) and current (I) at each port, and use the interrelationship between them to determine the ABCD parameters A ₁ , B ₁ , C ₁ , D ₁ ) can be derived.

In order to find the ABCD parameter between the first port and the second port, the voltage and current at the first port and the second port are defined as V ₁ , V ₂ and I ₁ , I ₂ , respectively, and the [ABCD] matrix is used. Expressing the relationship between the voltage and the current, the following equation (13).

When A ₁ , B ₁ , C ₁ , and D ₁ of the ABCD parameters are summarized by using Equation 13, Equations 14 to 17 are as follows.

here,

being.

Meanwhile, in order to convert the ABCD parameter into the S parameter, it must be a 2-port network. Thus, as shown in FIG. 7, the third port of the LC balun 600 is terminated with Z ₀ to ABCD parameters A _T , B _T , C _T , D between the first port and the second port. _T )

With the third port terminated with Z ₀ , the ABCD parameters A _T , B _T , C _T , D _T between the first port and the second port can be expressed by Equation 18 below.

May be represented by Equation 19 below.

here,

being.

A _T , B _T , C _T , and D _T of ABCD parameters are summarized using Equations 18 and 19, respectively, as shown in Equations 20 to 23 below.

Using Equations 20 to 23 above

, Can be expressed as Equation 24 below.

The size of can be expressed by Equation 25 below.

In order to pass a signal whose size is equally divided in half in a wide frequency band based on the center frequency f ₀ , the following Equation 26 must be satisfied. In other words, the ideal balun must have

The slope of 0 is a condition.

By using Equation 26, element values L _a / C _{a of} the first and second LC parallel

resonant circuits

621 and 623 may be calculated.

As described above, the LC balun according to the present invention

A first LC concentrator composed of a π-type LC concentrator equivalent to a transmission line having an electrical length of

A second LC concentrator constructed based on a π-type LC concentrator equivalent to a transmission line having an electrical length of 0, and LC resonant circuits added to each of the first and second LC concentrators, It can have very good phase and amplitude balance characteristics.

8 is a pass signal between the balun of FIG. 1 and the balun of FIG.

,

) Is a diagram comparing. As shown in Figure 8, of the existing balloon 100

and

Is -3.54dB, -2.71dB at 3GHz and -3.54dB, -2.71dB at 4GHz, respectively, and the difference is about 0.83dB.

However, of the balloon 600 according to the present invention

and

Is -3.05dB, -3.01dB at frequency 3GHz, -3.01dB, -3.03dB at frequency 4GHz, showing 0.04dB and 0.02dB difference, respectively, showing better phase and amplitude balance characteristics than conventional balun.

9 is a reflection signal between the balloon of FIG. 1 and the balloon of FIG.

) Is a diagram comparing. As shown in FIG. 9, the bandwidth of the existing balun 100 has a bandwidth of 0.64 GHz from 3.18 GHz to 3.82 Ghz based on −20 dB.

However, since the bandwidth of the balloon 600 according to the present invention has a range of 2.83 GHz to 4.32 GHz based on -20 dB, the bandwidth of the balun 600 is about twice that of the existing balun.

FIG. 10 is a diagram comparing the phase difference between the balun of FIG. 1 and the balun of FIG. 6. As shown in FIG. 10, the conventional balun 100 exhibits a phase deviation of about 40.5 ° at a frequency bandwidth of 3 GHz to 4 GHz, while the balun 600 according to the present invention has a phase deviation of about 1.9 ° at the same frequency bandwidth. As it shows, it shows superior characteristics than the existing balun.

11 is a diagram illustrating a circuit structure of an LC balun according to another embodiment of the present invention.

Referring to FIG. 11, the LC balun 1100 according to another embodiment of the present invention may be disposed between the first LC circuit 1110 disposed between the first port and the second port, and between the first port and the third port. The second LC circuit unit 1120 may be included.

The first LC circuit portion 1110 is

And a π-type CLC concentrator 1111 equivalent to the first transmission line 110 having an electrical length of 1, and a first LC parallel resonant circuit 1113 including an inductor L _a and a capacitor C _a . Can be. Here, the first LC parallel resonant circuit 1113 may be connected between the inductors L _1/2 divided into two inductors L ₁ .

The second LC circuit unit 1120,

And a π-type LCL concentrator 1121 equivalent to the second transmission line 120 having an electrical length of 2, and a second LC parallel resonant circuit 1123 including an inductor L _a and a capacitor C _a . Can be. Here, the second LC parallel resonant circuit 1123 may be connected between the capacitors 2C ₁ in which one capacitor C ₁ is divided into two.

The inductor L ₁ and the capacitor C ₁ constituting the first LC concentrating element 1111 and the second LC concentrating element 1121 are calculated using Equations 3 and 6 or Equations 9 and 12 described above. Can be. Device values L _a / C _{a of} the first and second LC parallel

resonant circuits

1121 and 1123 may be calculated using S parameters S ₂₁ and S ₃₁ of the LC balun 1100.

The LC balun 1100 may have superior phase and amplitude balance characteristics than the existing balun 100 having two transmission lines.

12 is a diagram illustrating an LC balun implemented through an LTCC structure.

Referring to FIG. 12, the LC balun 1200 according to the present invention includes a first LC circuit portion disposed between the first port and the second port, and a second LC circuit portion disposed between the first port and the third port. can do.

The first LC circuit portion,

A first LC concentrator formed by using a π-type CLC concentrator equivalent to a first transmission line having an electrical length of 1, and a first LC parallel resonant circuit including an inductor (L _a ) and a capacitor (C _a ). Can be. That is, the first LC circuit part may be composed of three inductors and two capacitors.

The second LC circuit portion,

And a second LC concentrator formed by using a π-type LCL concentrator equivalent to a second transmission line having an electrical length of 2, and a second LC parallel resonant circuit including an inductor (L _a ) and a capacitor (C _a ). Can be. That is, the second LC circuit unit may be composed of two inductors and three capacitors.

The LC balun 1200 may be implemented using low temperature co-fired ceramic (LTCC) technology for miniaturization and high functionalization of components. Low temperature co-fired ceramic (LTCC) technology is a process technology for forming a three-dimensionally arranged component by forming passive elements of a resistor (R), an inductor (L), and a capacitor (C) in a multilayer ceramic substrate. In addition, low-temperature co-fired ceramic (LTCC) technology is a co-fire process technology in which passive devices and ceramic substrates are co-fired at low temperatures. ) Technology is applied.

In the present exemplary embodiment, three inductors 1230 and L and five capacitors 1220 and C may be formed in the multilayer ceramic substrate 1210 to implement a three-dimensional LC balun 1200.

Passive elements

1220 and 1230 present in the multilayer ceramic substrate 1210 may be electrically connected through the plurality of via holes 1240.

Meanwhile, in the present embodiment, the LC balun is implemented using a low temperature co-fired ceramic (LTCC) technology, but the present invention is not limited thereto. It will be apparent to those skilled in the art that the LC balun can be implemented by using a "" technology or a "Multiple Printed Circuit Board (PCB)" technology.

On the other hand, while the specific embodiments of the present invention have been described, various modifications are possible without departing from the scope of the present invention. Therefore, the scope of the present invention should not be limited to the described embodiments, but should be defined not only by the claims below, but also by those equivalent to the claims.

Claims

A first LC circuit section including a first LC concentrator configured based on a π-type CLC concentrator equivalent to a first transmission line having a first electrical length, and a first LC resonant circuit added to the first LC concentrator. ; And

A second LC circuit section including a second LC concentrator configured based on a π-type LCL concentrator equivalent to a second transmission line having a second electrical length, and a second LC resonant circuit added to the second LC concentrator; LC balun comprising a.
The method of claim 1,

The first transmission line
It is a transmission line having an electrical length of

The second transmission line
LC balun, characterized in that the transmission line having an electrical length of.
The method of claim 1,

The first LC circuit portion is disposed between the first port and the second port,

And the second LC circuit portion is disposed between the first port and the third port.
The method of claim 3,

The first LC concentrator is configured by removing a capacitor connected to the first port from the π-type CLC concentrator,

And the second LC concentrator is formed by removing an inductor connected to the first port from the π-type LCL concentrator.
The method of claim 4, wherein

The inductor of the first LC concentrator consists of two inductors divided into two,

And the first LC resonant circuit is added between the two inductors.
The method of claim 4, wherein

The capacitor of the second LC concentrator consists of two bisected capacitors,

And the second LC resonant circuit is added between the two capacitors.
The method of claim 1,

The inductor and capacitor values of the π-type CLC lumped element are LC balun, characterized in that calculated through the following equation.

[Equation]

,

Here, Z 0 is the impedance of the first transmission line, Y 0 is the admittance of the first transmission line, θ is the electrical length of the first transmission line.
The method of claim 1,

The inductor and capacitor values of the π-type LCL concentrator are calculated through the following equations.

[Equation]

,

Here, Z 0 is the impedance of the second transmission line, Y 0 is the admittance of the second transmission line, θ is the electrical length of the second transmission line.
The method of claim 1,

And the inductor and capacitor values of the second LC resonant circuit are the same as the inductor and capacitor values of the first LC resonant circuit.
The method of claim 1,

The LC balun according to the inductor and capacitor values of the first and second LC resonant circuits satisfy the following equation.

[Equation]

Here, S 21, Mag is the magnitude of the S parameter (S 21 ) between the first port and the second port of the LC balun.
The method of claim 1,

The first and second LC circuit portion LC balun, characterized in that implemented through a low temperature co-fired ceramic technology (Low?
The method of claim 1,

And the first and second LC resonant circuits are LC parallel resonant circuits.
The method of claim 1,

And the second transmission line has the same impedance as the first transmission line.
A first LC circuit portion comprising a π-type CLC concentrator equivalent to a first transmission line having a first electrical length, and a first LC resonant circuit added to the π-type CLC concentrator; And

An LC balun comprising a second LC circuit portion comprising a π LCL concentrator equivalent to a second transmission line having a second electrical length, and a second LC resonant circuit added to the π LCL concentrator.
The method of claim 14,

The inductor of the π-type CLC concentrator is composed of two inductors divided into two,

And the first LC resonant circuit is added between the two inductors.
The method of claim 14,

The capacitor of the π-type LCL concentrator consists of two bisectors,

And the second LC resonant circuit is added between the two capacitors.