CN115795797A - Design method of miniaturized ultra-wideband filter and terminal - Google Patents
Design method of miniaturized ultra-wideband filter and terminal Download PDFInfo
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Abstract
The invention provides a design method of a miniaturized ultra-wideband filter, which comprises the following steps: s1, acquiring a preset topological structure and a first transmission equation corresponding to the topological structure; s2, acquiring a target transmission equation of an eighth-order filter corresponding to the topological structure; s3, obtaining characteristic impedance parameters of the topological structure through filter performance according to the first transmission equation and the target transmission equation; the design method of the filter is based on a comprehensive optimization method, direct correlation is established on a mathematical relation by characteristic impedance parameters of a topological structure and the performance of the ultra-wideband filter, parameter redundancy does not exist in the mathematical calculation process, and complex calculation in the design process is simplified; the characteristic impedance parameters of the topological structure can be obtained only by obtaining the performance parameters of the ultra-wideband filter, and the design method is simple and convenient for design and production of the filter.
Description
Technical Field
The invention relates to the field of filters, in particular to a design method and a terminal of a miniaturized ultra-wideband filter.
Background
Microstrip filters are most widely used in the radio frequency and microwave fields. Compared with a cavity filter, the microstrip filter has the advantages of simple processing, easy realization, low cost, good compatibility with active devices and the like; under the background, how to design a compact and high-performance ultra-wideband filter with high efficiency is one of the key problems to be solved urgently at present.
In the conventional design method, the design of the ultra-wideband filter is implemented based on a scheme in which parameters are continuously tried. Obviously, the ultra-wideband filter based on the scheme has many parameters and cannot be directly or indirectly quantitatively related to the performance of the filter through a mathematical formula. Therefore, this solution has the drawback of a very complex design. To solve this problem, a design based on a comprehensive optimization method is proposed.
In reported scientific research results and literatures, the ultra-wideband filter designed based on the comprehensive optimization method still has the following disadvantages: 1. the parameters and the performance of the ultra-wideband filter are not directly related in a mathematical relationship, the parameters are redundant, the parameters cannot be directly determined through the performance of the filter, and the design is still complex; 2. the topological structure is not designed based on multimode and quarter-wavelength concepts, and the problem of incompact structure exists; 3. high-order Chebyshev ultra-wideband filters are rarely designed, and eight-order Chebyshev ultra-wideband filters are reported for a few times.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: a method and a terminal for designing a miniaturized ultra-wideband filter are provided, which simplify the design method of the ultra-wideband filter and realize the compact and miniaturized structure of the filter.
In order to solve the technical problems, the invention adopts the technical scheme that:
a design method of a miniaturized ultra-wideband filter comprises the following steps:
s1, acquiring a preset topological structure and a first transmission equation corresponding to the topological structure;
s2, acquiring a target transmission equation of an eighth-order filter corresponding to the topological structure;
and S3, obtaining characteristic impedance parameters of the topological structure according to the first transmission equation and the target transmission equation through the performance of a filter.
In order to solve the technical problem, the invention adopts another technical scheme as follows:
a terminal for designing a miniaturized ultra-wideband filter, comprising a memory, a processor and a computer program stored on the memory and running on the processor, wherein the processor implements the following steps when executing the computer program:
s1, acquiring a preset topological structure and a first transmission equation corresponding to the topological structure;
s2, acquiring a target transmission equation of an eighth-order filter corresponding to the topological structure;
and S3, obtaining characteristic impedance parameters of the topological structure according to the first transmission equation and the target transmission equation through the performance of a filter.
The invention has the beneficial effects that: the invention provides a design method of an eight-order Chebyshev ultra-wideband filter, which is characterized in that on the basis of a comprehensive optimization method, direct association is established on a mathematical relationship by characteristic impedance parameters of a topological structure and the performance of the ultra-wideband filter, and the parameters have no redundancy on the data relationship, so that the complex calculation in the design process is simplified; the characteristic impedance parameters of the topological structure can be obtained only by obtaining the performance parameters of the ultra-wideband filter, and the design method is simple and convenient for design and production of the filter.
Drawings
Fig. 1 is a flowchart illustrating steps of a method for designing a miniaturized ultra-wideband filter according to an embodiment of the present invention;
fig. 2 is a schematic diagram of a topology structure provided in an embodiment of the present invention;
fig. 3 is a flowchart illustrating a design of an eighth-order ultra-wideband filter according to an embodiment of the present invention;
fig. 4 is a transmission characteristic diagram of a topology structure corresponding to different wavelets according to an embodiment of the present invention;
fig. 5 is a transmission characteristic diagram of a topology structure corresponding to different bandwidths according to an embodiment of the present invention;
fig. 6 shows the S parameter theory, simulation, and test results provided by the embodiment of the present invention;
fig. 7 shows the group delay theory, simulation and test results provided in the embodiment of the present invention;
fig. 8 is a schematic structural diagram of a design terminal of a miniaturized ultra-wideband filter according to an embodiment of the present invention;
description of reference numerals:
1. a terminal for designing a miniaturized ultra-wideband filter; 2. a memory; 3. a processor.
Detailed Description
In order to explain technical contents, achieved objects, and effects of the present invention in detail, the following description is made with reference to the accompanying drawings in combination with the embodiments.
Referring to fig. 1, an embodiment of the present invention provides a method for designing a miniaturized ultra-wideband filter, including:
s1, acquiring a preset topological structure and a first transmission equation corresponding to the topological structure;
s2, acquiring a target transmission equation of an eighth-order filter corresponding to the topological structure;
and S3, obtaining characteristic impedance parameters of the topological structure through filter performance according to the first transmission equation and the target transmission equation.
From the above description, the beneficial effects of the present invention are: the invention provides a design method of an eight-order Chebyshev ultra-wideband filter, which is characterized in that on the basis of a comprehensive optimization method, direct association is established on a mathematical relationship by characteristic impedance parameters of a topological structure and the performance of the ultra-wideband filter, and the parameters have no redundancy on the data relationship, so that the complex calculation in the design process is simplified; the characteristic impedance parameters of the topological structure can be obtained only by obtaining the performance parameters of the ultra-wideband filter, and the design method is simple and convenient for design and production of the filter.
Further, acquiring the preset topological structure includes:
and acquiring a port feeder line, three quarter-wavelength parallel coupling lines and two quarter-wavelength short circuit branches.
As can be seen from the above description, the topology of the filter is designed based on the multi-mode and quarter-wavelength concepts, so that the filter has the advantage of structure miniaturization; meanwhile, because the first transmission equation corresponding to the topological structure is identical to the target transmission equation of the eighth-order Chebyshev band-pass filter, the eighth-order Chebyshev band-pass filter with any bandwidth and ripple can be designed based on the topological structure.
Further, S1 specifically is:
acquiring a preset topological structure;
obtaining a first transmission equation corresponding to the topological structure:
wherein
Theta is the electrical length of the parallel coupled lines and the short circuit branches, j represents a complex number,
for the odd-even characteristic impedance parameters of two of the quarter-wavelength parallel coupled lines,
is the odd-even characteristic impedance parameter, Z, of one of the quarter-wave parallel coupled lines 0 Is a characteristic impedance parameter, Z, of the port feeder 1 And the characteristic impedance parameter of the short-circuit branch is shown.
As can be seen from the above description, a mathematical relationship expression between the transmission equation of the topology and the characteristic impedance parameter thereof can be established, wherein the mathematical relationship expression is used for the transmission equation of the topology and the characteristic impedance parameter thereof
Z 1 Characteristic impedance parameters of corresponding structures in the topological structure; if the target transmission equation of a certain filter is completely equivalent to the transmission equation of the topological structure, the characteristic impedance parameter of the topological structure can be directly determined according to the specific performance of the filter, and then the initial layout of the required filter is directly designed. And after the parameters of the simple layout are optimized, a final required filter layout can be obtained.
Further, S2 specifically is:
obtaining a target transmission equation of an eighth-order filter corresponding to the topological structure:
F＝εcos(3φ+5ξ)
wherein the content of the first and second substances,
cosφ＝cosθ/cosθ c ,cosξ＝tanθ c /tanθ；
the epsilon represents the in-band ripple of the filter, theta C Representing the electrical length corresponding to the cut-off frequency of the filter passband.
From the above description, the mathematical relationship between the performance parameter of the ultra-wideband filter and the target transmission equation thereof can be obtained from the target transmission equation of the eighth-order filter corresponding to the topological structure, and when the performance parameter is a specific value, the target transmission equation is also a specific value; if the first transmission equation and the target transmission equation are completely equivalent, a direct mathematical relationship between the two can be established. Therefore, the characteristic impedance parameters contained in the first transmission equation are directly calculated according to the performance parameters of the ultra-wideband filter, redundancy of other parameters is avoided, mathematical calculation is simplified, and design working efficiency is improved.
Further, the S3 specifically is:
acquiring preset performance parameters, and substituting the performance parameters into the target transmission equation:
wherein the content of the first and second substances,p 1 ,p 2 ,p 3 ,p 4 ,p 5 ＝f(ε,θ c )；
let the absolute value of the first transfer equation equal the target transfer equation, then | F T |＝F；
Establish information about
Z 1 The system of equations is solved to obtain the characteristic impedance parameters of the topological structure.
From the above description, the mathematical association of the characteristic impedance parameter of the topology and the performance parameter of the filter is established by the target transmission equation of the ultra-wideband filter and the first transmission equation of the topology. And establishing an equation set between the performance parameter of the filter and the characteristic impedance parameter of the topological structure based on the coefficient equivalence of the two parameters in the mathematical expression. In designing the filter, the performance parameters need to be specified in advance. Therefore, the characteristic impedance parameter corresponding to the known performance parameter can be obtained according to the known performance parameter, so that the initial parameter of the layout of layout can be determined, and the finally required filter can be obtained after simple optimization. Compared with the prior art, the method for continuously adjusting and simulating the parameters is simple in design method, high in accuracy and convenient for production and manufacturing of the filter.
Referring to fig. 8, another embodiment of the present invention provides a terminal for designing a miniaturized ultra-wideband filter, including a memory, a processor, and a computer program stored in the memory and running on the processor, wherein the processor executes the computer program to implement the following steps:
s1, acquiring a preset topological structure and a first transmission equation corresponding to the topological structure;
s2, acquiring a target transmission equation of an eighth-order filter corresponding to the topological structure;
and S3, obtaining characteristic impedance parameters of the topological structure according to the first transmission equation and the target transmission equation through the performance of a filter.
From the above description, the beneficial effects of the present invention are: the invention provides a design method of an eight-order Chebyshev ultra-wideband filter, which is characterized in that on the basis of a comprehensive optimization method, direct association is established on a mathematical relationship by characteristic impedance parameters of a topological structure and the performance of the ultra-wideband filter, and the parameters have no redundancy on the data relationship, so that the complex calculation in the design process is simplified; the characteristic impedance parameters of the topological structure can be obtained only by obtaining the performance parameters of the ultra-wideband filter, the design method is simple, and the design and production of the filter are facilitated.
Further, acquiring the preset topological structure includes:
and acquiring a port feeder line, three quarter-wavelength parallel coupling lines and two quarter-wavelength short circuit branches.
As can be seen from the above description, the topology of the filter is designed based on the multi-mode and quarter-wave concepts, so that the filter has the advantage of compact structure; meanwhile, the first transmission equation corresponding to the topological structure is equivalent to the target transmission equation of the eight-order Chebyshev band-pass filter, so that the eight-order Chebyshev band-pass filter with any bandwidth and ripple waves can be designed based on the topological structure.
Further, S1 specifically is:
acquiring a preset topological structure;
obtaining a first transmission equation corresponding to the topological structure:
wherein
Theta is the electrical length of the parallel coupled lines and the short circuit branches, j represents a complex number,
is said quarter waveThe parity characteristic impedance parameters of two quarter-wave parallel coupled lines in the long parallel coupled lines,
is the odd-even characteristic impedance parameter, Z, of one of the quarter-wave parallel coupled lines 0 Is a characteristic impedance parameter, Z, of the port feeder 1 And the characteristic impedance parameter of the short-circuit branch is shown.
From the above description, it can be known that a mathematical relational expression between a topological structure transmission equation and its characteristic impedance parameters can be established, wherein the said
Z 1 Characteristic impedance parameters of corresponding structures in the topological structure; if the target transmission equation of a certain filter is completely equivalent to the transmission equation of the topological structure, the characteristic impedance parameter of the topological structure can be directly determined according to the specific performance of the filter, and then the initial layout of the required filter is directly designed. And after the parameters of the simple layout are optimized, a final required filter layout can be obtained.
Further, S2 specifically is:
obtaining a target transmission equation of an eighth-order filter corresponding to the topological structure:
F＝εcos(3φ+5ξ)
wherein the content of the first and second substances,
cosφ＝cosθ/cosθ c ,cosξ＝tanθ c /tanθ；
the epsilon represents the in-band ripple of the filter, theta C Representing the electrical length corresponding to the cut-off frequency of the filter passband.
From the above description, it can be known that the ultra-wideband filter performance parameter is used as an unknown coefficient in the target transmission equation, and an ultra-wideband filter transmission function with an eight-order chebyshev transmission function characteristic can be obtained, so as to establish a mathematical relationship between the ultra-wideband filter performance parameter and its target transmission equation, and when the performance parameter is a specific value, the target transmission equation is also a specific value. If the first transfer equation and the target transfer equation are completely equivalent, a direct mathematical relationship between the two can be established. Therefore, the characteristic impedance parameters contained in the first transmission equation are directly calculated according to the performance parameters of the ultra-wideband filter, redundancy of other parameters is avoided, mathematical calculation is simplified, and design working efficiency is improved.
Further, the S3 specifically is:
acquiring preset performance parameters, and substituting the performance parameters into the target transmission equation:
wherein p is 1 ,p 2 ,p 3 ,p 4 ,p 5 ＝f(ε,θ c )；
Let the absolute value of the first transmission equation equal to the target transmission equation, then | F T |＝F；
Establish information about
Z 1 The equation set is solved to obtain the characteristic impedance parameter of the topological structure.
From the above description, the mathematical association of the characteristic impedance parameter of the topology and the performance parameter of the filter is established by the target transmission equation of the ultra-wideband filter and the first transmission equation of the topology. And establishing an equation set between the performance parameter of the filter and the characteristic impedance parameter of the topological structure based on the coefficient equivalence of the two parameters in the mathematical expression. In designing the filter, the performance parameters need to be specified. Therefore, the characteristic impedance parameters corresponding to the known performance parameters can be obtained according to the known performance parameters, so that the initial parameters of the layout can be determined, and the final required layout of the filter can be obtained after simple optimization. Compared with the prior art, the method for continuously adjusting and simulating the parameters is simple in design method, high in accuracy and convenient for production and manufacturing of the filter.
The invention provides a design method and a terminal of a miniaturized ultra-wideband filter, which can be applied to the production and the manufacture of the ultra-wideband filter, simplify the design method of the ultra-wideband filter, and realize the compact and miniaturized structure of the filter, and the following description is given by specific embodiments:
referring to fig. 1 to 7, a first embodiment of the present invention is:
a design method of a miniaturized ultra-wideband filter comprises the following steps:
s1, acquiring a preset topological structure and a first transmission equation corresponding to the topological structure.
Specifically, the obtaining of the preset topological structure includes:
and acquiring structural characteristics of the port feeder line, the three quarter-wavelength parallel coupling lines and the two quarter-wavelength short-circuit branches.
In an alternative embodiment, referring to fig. 2, the structural features of the topology are specifically: the port feeder comprises an input port feeder and an output port feeder; three quarter-wavelength parallel coupling lines are connected into a straight line, two quarter-wavelength short circuit branches are respectively connected to the connecting points between the parallel coupling lines, and an input port feeder line and an output port feeder line are respectively connected to two ends of the parallel coupling lines.
Obtaining a first transmission equation corresponding to the topological structure:
wherein
I.e. t 1 ，t 2 ，t 3 ，t 4 ，t 5 Is about
Z 0 ,Z 1 Function of, t 1 ，t 2 ，t 3 ，t 4 ，t 5 Can be composed of
Z 0 ,Z 1 The equivalent transformation is performed on a mathematical relationship.
Wherein θ is an electrical length of the parallel coupling line and the short-circuit branch, j represents a complex number,
for the odd-even characteristic impedance parameters of two of the quarter-wavelength parallel coupled lines,
is the odd-even characteristic impedance parameter, Z, of one of the quarter-wave parallel coupled lines 0 Is a characteristic impedance parameter, Z, of the port feeder 1 And the characteristic impedance parameter of the short-circuit branch is shown.
In this embodiment, Z 0 Is a known quantity. For radio frequency band pass filters, Z 0 Is 50 omega. Thus, there are 5 unknowns in the first transfer equation, each
Z 1 。
The specific steps of obtaining the first transmission equation corresponding to the topological structure are as follows:
since the topology is symmetrical, its transmission equation can be expressed as:
wherein the content of the first and second substances,
in the formula，B T And C T Is the array element of the ABCD matrix of the topological structure, and the ABCD matrix of the topological structure can be obtained by multiplying the ABCD matrices of the cascade structures, namely
Wherein the content of the first and second substances,
obtaining a first transmission equation F by a series of calculations according to the formula T ：
S2, obtaining a target transmission equation of an eighth-order filter corresponding to the topological structure.
Further, S2 specifically is:
the specific steps of obtaining the target transmission equation of the eighth-order filter corresponding to the topological structure are as follows:
for an eight-order Chebyshev ultra-wideband filter, the in-band ripple is assumed to be epsilon or L A Center frequency of f 0 The relative bandwidth is FBW;
wherein the content of the first and second substances,
L A ＝10log(1+ε 2 )；
the electrical length corresponding to the lower passband cutoff frequency may be expressed as:
the general formula of the target transmission equation of the eighth-order filter corresponding to the topological structure is as follows:
wherein, the first and the second end of the pipe are connected with each other,
F＝εcos(nφ+qξ)
wherein the content of the first and second substances,
cosφ＝cosθ/cosθ c ,cosξ＝tanθ c /tanθ；
if the topology can design the Chebyshev band-pass filter with any bandwidth and ripple, the transmission equation of the Chebyshev band-pass filter is consistent with the target transmission equation of the eighth-order Chebyshev band-pass filter, namely, the required absolute value of F T L = F. Therefore, n and q need to be set to 3 and 5, respectively, here. Thus, the target transmission equation can be found as:
F＝εcos(3φ+5ξ)
and S3, obtaining characteristic impedance parameters of the topological structure according to the first transmission equation and the target transmission equation.
Further, the S3 specifically is:
acquiring preset performance parameters, and substituting the performance parameters into the target transmission equation:
wherein p is 1 ,p 2 ,p 3 ,p 4 ,p 5 ＝f(ε,θ c )；
I.e. p 1 、p 2 、p 3 、p 4 、p 5 Is about epsilon and theta c Function of p 1 、p 2 、p 3 、p 4 、p 5 May be composed of epsilon and theta c In mathematical relationshipPerforming line equivalent conversion;
let the absolute value of the first transfer equation equal the target transfer equation, then | F T |＝F 2 ；
Establish information about
Z 1 The equation set is solved to obtain the characteristic impedance parameter of the topological structure.
In particular, when the performance of the bandpass filter is determined, i.e. ε and θ c Knowing the coefficient p 1 、p 2 、p 3 、p 4 、p 5 Can be calculated directly. According to equation | F T If | = F, the coefficients need to be kept consistent, and the following 5 unknowns can be included
Z 1 5 equations of (c):
here, due to Z 0 ，p 1 、p 2 、p 3 、p 4 、p 5 Are known, by solving these five partiesCan obtain
Z 1 The unique solution of (a) is obtained, and the characteristic impedance parameter of the topological structure is obtained.
To verify the feasibility of this design method, first, corresponding characteristic impedance parameters were calculated for transmission characteristics of different ripples and bandwidths, as shown in table 1.
TABLE 1 characteristic impedance for different ripples and bandwidths
| FBW(％) | 133.3 | 133.3 | 133.3 | 100 | 66.6 |
| L A (dB) | 0.02 | 0.06 | 0.1 | 0.1 | 0.1 |
| θ c | 30° | 30° | 30° | 45° | 60° |
| ε | 0.068 | 0.118 | 0.153 | 0.153 | 0.153 |
| Z 1 | 44.35 | 44.99 | 45.8 | 23.3 | 12.2 |
| Z0oo(Ω) | 14.31 | 17.57 | 19.7 | 37.7 | 74.1 |
| Z0oe(Ω) | 107.8 | 116.62 | 122.8 | 135.6 | 168.4 |
| Z1oo(Ω) | 24.62 | 27.5 | 29.5 | 52.3 | 95.1 |
| Z1oe(Ω) | 107.8 | 114.7 | 120.8 | 134.7 | 171.4 |
When the ripple waves are different and the bandwidth is constant, the calculated parameters are brought into the transmission characteristics corresponding to the topological structure, as shown in fig. 4;
when the bandwidths are different and the ripples are fixed, the calculated parameters are brought into the transmission characteristics corresponding to the topological structure as shown in fig. 5;
as can be seen from table 1, the performance parameters of the designed ultra-wideband filter are: when FBW =133.3%, θ c ＝30°,L A =0.02dB, ∈ =0.068; substituting the above performance parameters into the target transmission equation, the coefficient p 1 、p 2 、p 3 、p 4 、p 5 Are all definite values, such that p 1 ＝t 1 ，p 2 ＝t 2 ，p 3 ＝t 3 ，p 4 ＝t 4 ，p 5 ＝t 5 . Establishing a coefficient p in a target transmission equation 1 、p 2 、p 3 、p 4 、p 5 With coefficient t of the first transmission equation 1 ，t 2 ，t 3 ，t 4 ，t 5 The system of equations between is:
resolving the above equation set to obtain Z 1 ＝44.35Ω，
In this embodiment, the performance of the ultra-wideband filter to be designed is as follows: FBW =109.8%, θ c ＝40.6°,L A ＝0.10dB，f 0 =6.85GHz. Through the calculation of the reasoning process, the corresponding parameters are as follows: z is a linear or branched member 1 =27.7 Ω, Z0oo =31.9 Ω, Z0oe =131.1 Ω, Z1oo =45.2 Ω, Z1oe =129.8 Ω. Assisted by electromagnetic simulation software, is composed of 0 The design parameter (length) l of the filter structure can be determined 1 ，l 2 ，l 3 ，l 4 An initial value of (1); from characteristic impedance parameters
Z 1 The design parameters (wide band/gap) w of the filter structure can be determined 1 ，w 2 ，w 3 ，s 1 And s 2 And optimizing the initial values to obtain the final structure of the required filter.
The comparison results of the theory, the simulation and the test in fig. 6 and fig. 7 show that the performance goodness of fit of the theory, the simulation and the test is high, and the design method is proved to be accurate and feasible. The center frequency of the filter is 6.89GHz, the relative bandwidth is 113.5%, the in-band reflection coefficient is better than-13.6 dB, and the in-band insertion loss is 2.92dB at most.
Referring to fig. 8, a second embodiment of the present invention is:
a design terminal 1 of a miniaturized ultra-wideband filter comprises a memory 2, a processor 3 and a computer program stored on the memory 2 and running on the processor 3, wherein any one of the steps in the first embodiment is realized when the processor 3 executes the computer program.
In summary, the design method of the miniaturized ultra-wideband filter and the terminal provided by the invention are characterized in that on the basis of a comprehensive optimization method, the characteristic impedance parameters of a topological structure and the performance of the ultra-wideband filter are directly associated on a mathematical relationship, and the design method has no parameter redundancy in the mathematical calculation process and simplifies the complex calculation in the design process; the characteristic impedance parameters of the topological structure can be obtained only by obtaining the performance parameters of the ultra-wideband filter, the design method is simple, the design and production of the filter are facilitated, and the production cost is reduced.
The above description is only an embodiment of the present invention, and not intended to limit the scope of the present invention, and all equivalent changes made by using the contents of the present specification and the drawings, or applied directly or indirectly to the related technical fields, are included in the scope of the present invention.
Claims (10)
1. A method for designing a miniaturized ultra-wideband filter, comprising:
s1, acquiring a preset topological structure and a first transmission equation corresponding to the topological structure;
s2, acquiring a target transmission equation of an eighth-order filter corresponding to the topological structure;
and S3, obtaining characteristic impedance parameters of the topological structure according to the first transmission equation and the target transmission equation through the performance of a filter.
2. The design method of the miniaturized ultra-wideband filter of claim 1, wherein the obtaining of the preset topology comprises:
and acquiring structural characteristics of the port feeder line, the three quarter-wavelength parallel coupling lines and the two quarter-wavelength short-circuit branches.
3. The method for designing a miniaturized ultra-wideband filter according to claim 2, wherein S1 specifically is:
acquiring a preset topological structure;
obtaining a first transmission equation corresponding to the topological structure:
wherein
Theta is the electrical length of the parallel coupled lines and the short circuit branches, j represents a complex number,
for the odd-even characteristic impedance parameters of two of the quarter-wavelength parallel coupled lines,
is the odd-even characteristic impedance parameter, Z, of one of the quarter-wave parallel coupled lines 0 Is a characteristic impedance parameter, Z, of the port feeder 1 And the characteristic impedance parameter of the short-circuit branch is shown.
4. The method for designing a miniaturized ultra-wideband filter according to claim 1, wherein S2 specifically is:
obtaining a target transmission equation of an eighth-order filter corresponding to the topological structure:
F＝εcos(3φ+5ξ)
wherein the content of the first and second substances,
cosφ＝cosθ/cosθ c ,cosξ＝tanθ c /tanθ
the epsilon represents the in-band ripple of the filter, theta C Representing the electrical length corresponding to the cut-off frequency of the filter passband.
5. The method for designing a miniaturized ultra-wideband filter according to claim 1, wherein the S3 is specifically:
acquiring preset performance parameters, and substituting the performance parameters into the target transmission equation:
wherein p is 1 ,p 2 ,p 3 ,p 4 ,p 5 ＝f(ε,θ c )；
Let the absolute value of the first transfer equation equal the target transfer equation, then | F T |＝F 2 ；
Establish information about
The equation set is solved to obtain the characteristic impedance parameter of the topological structure.
6. A terminal for designing a miniaturized ultra-wideband filter, comprising a memory, a processor and a computer program stored on the memory and running on the processor, wherein the processor implements the following steps when executing the computer program:
s1, acquiring a preset topological structure and a first transmission equation corresponding to the topological structure;
s2, acquiring a target transmission equation of an eighth-order filter corresponding to the topological structure;
and S3, obtaining characteristic impedance parameters of the topological structure according to the first transmission equation and the target transmission equation through the performance of a filter.
7. The terminal for designing a miniaturized ultra-wideband filter as claimed in claim 6, wherein obtaining the predetermined topology comprises:
and acquiring structural characteristics of the port feeder line, the three quarter-wavelength parallel coupling lines and the two quarter-wavelength short-circuit branches.
8. The terminal of claim 7, wherein S1 is specifically:
acquiring a preset topological structure;
obtaining a first transmission equation corresponding to the topological structure:
wherein
Theta is the electrical length of the parallel coupled lines and the short circuit branches, j represents a complex number,
for the odd-even characteristic impedance parameters of two of the quarter-wavelength parallel coupled lines,
is the odd-even characteristic impedance parameter, Z, of one of the quarter-wave parallel coupled lines 0 Is a characteristic impedance parameter, Z, of the port feeder 1 And the characteristic impedance parameters of the short circuit branches are obtained.
9. The terminal for designing a miniaturized ultra-wideband filter according to claim 6, wherein S2 is specifically:
obtaining a target transmission equation of an eighth-order filter corresponding to the topological structure:
wherein the content of the first and second substances,
F＝εcos(3φ+5ξ)
wherein the content of the first and second substances,
cosφ＝cosθ/cosθ c ,cosξ＝tanθ c /tanθ
the epsilon represents the in-band ripple of the filter, theta C Representing the electrical length corresponding to the cut-off frequency of the filter passband.
10. The terminal of claim 6, wherein the S3 is specifically:
acquiring preset performance parameters, and substituting the performance parameters into the target transmission equation:
wherein p is 1 ,p 2 ,p 3 ,p 4 ,p 5 ＝f(ε,θ c )；
Let the absolute value of the first transfer equation equal the target transfer equation, then | F T |＝F；
Establish information about
The equation set is solved to obtain the characteristic impedance parameter of the topological structure.
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2022
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