CN109687834A - A kind of impedance transformer and preparation method with Chebyshev's filtering characteristic of multistage transmission line and short-circuit line - Google Patents
A kind of impedance transformer and preparation method with Chebyshev's filtering characteristic of multistage transmission line and short-circuit line Download PDFInfo
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- CN109687834A CN109687834A CN201910071791.XA CN201910071791A CN109687834A CN 109687834 A CN109687834 A CN 109687834A CN 201910071791 A CN201910071791 A CN 201910071791A CN 109687834 A CN109687834 A CN 109687834A
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03H—IMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
- H03H7/00—Multiple-port networks comprising only passive electrical elements as network components
- H03H7/01—Frequency selective two-port networks
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/16—Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/30—Circuit design
- G06F30/39—Circuit design at the physical level
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/18—Manufacturability analysis or optimisation for manufacturability
Abstract
The present invention discloses the impedance transformer with Chebyshev's filtering characteristic of a kind of multistage transmission line and short-circuit line, including input end unit and output end unit, the impedance converter unit being sequentially connected in series between the input end unit and the output end unit by multistage transmission line；And the shorting stub no more than multistage transmission line quantity；Wherein, when the multistage transmission line is odd-order, the shorting stub is even number section, and is symmetrically distributed in the multistage center of transmission line two sides；When the multistage transmission line is even-order and the shorting stub is even number section, the shorting stub is symmetrically distributed in the multistage center of transmission line two sides；When the multistage transmission line is even-order and the shorting stub is odd number section, one section of shorting stub is provided at the multistage center of transmission line, remaining shorting stub is symmetrically distributed in the multistage center of transmission line two sides.The present invention also provides the preparation methods of a kind of multistage transmission line and the impedance transformer with Chebyshev's filtering characteristic of short-circuit line.
Description
Technical field
The present invention relates to radio circuit microstrip line device fabrication techniques fields, and more particularly, it is more that the present invention relates to one kind
The impedance transformer and preparation method with Chebyshev's filtering characteristic of rank transmission line and short-circuit line.
Background technique
As the rapid development entire society in epoch is increasingly to become more for the demand of information element.The mankind were from most originally
Smoke signals transmission information epoch electricity till now always and electromagnetism transmit information, obtained very in field of communication technology
Big raising.Wherein electromagnetic transmission information becomes the mainstay of entire modern communication technology.Information is transmitted in wireless electromagnetic
When need sending device and accepting device, wherein impedance transformer plays critically important effect.In Modern communication devices
Electromagnetism transmit information when, while meeting low insertion loss and low delay effect, need to have filtered out useful signal with
The noise of outer other frequency reduces the interference between other frequency range, improves transmission information quality.Still further aspect, due to electricity
Popularizing in air for magnetic communication technology has many gap of frequency monitoring noises, when transmitting information, it is necessary to these airborne noises
It is filtered.The impedance transformer that microstrip line is done has good filter effect.
The impedance transformer that microstrip line is done theoretically can both change to its impedance, also have good frequency-selecting special
Property, relative sensitive.With the demand of the universal impedance transformer to this filtering characteristic having had of wireless communication technique
It is very big, so making material obtains cheaply when production has the impedance transformer of Chebyshev's filtering characteristic, and can measure
It produces.Such as: in mobile communication, antenna for mobile phone miniaturization, and the demand in market can be very big, needs volume production.Microstrip line
The impedance transformer done just has these characteristics.
Shorting stub of the impedance transformer of the ripples filtering characteristic such as common Chebyshev in n sections of microstrip lines series connection and n+1
(ground line) ability arrives the ripples such as particularly preferred Chebyshev.The circuit diagram for the impedance transformer that common 4 sections of transmission lines are done
As shown in Figure 1.Due to needing more shorting stubs, cause circuit board very complicated in the production process.
Summary of the invention
It is an object of the invention to designed and developed a kind of multistage transmission line and short-circuit line to have Chebyshev's filtering
The impedance transformer of characteristic reduces the number of the shorting stub of impedance transformer, can change the impedance of device input and have
Chebyshev's filtering characteristic works in specific frequency.
Another object of the present invention be design and develop a kind of multistage transmission line and short-circuit line there is Chebyshev's filtering
The preparation method of the impedance transformer of characteristic reduces the number of the shorting stub of impedance transformer, and in the short circuit of different location
The characteristic impedance of line is different, is capable of the model of selector according to demand, and flexibility is high.
Technical solution provided by the invention are as follows:
A kind of impedance transformer with Chebyshev's filtering characteristic of multistage transmission line and short-circuit line, including input terminal list
Member and output end unit further include successively being gone here and there between the input end unit and the output end unit by multistage transmission line
The impedance converter unit of connection；And
No more than the shorting stub of multistage transmission line quantity；
Wherein, when the multistage transmission line is odd-order, the shorting stub is even number section, and is symmetrically distributed in described more
Rank center of transmission line two sides；
When the multistage transmission line is even-order and the shorting stub is even number section, the shorting stub is symmetrically distributed in institute
State multistage center of transmission line two sides；
When the multistage transmission line is even-order and the shorting stub is odd number section, set at the multistage center of transmission line
It is equipped with one section of shorting stub, remaining shorting stub is symmetrically distributed in the multistage center of transmission line two sides.
Preferably, the multistage transmission line is 4 ranks, and the shorting stub is 2 sections, and the shorting stub is symmetrically distributed in 4
Rank center of transmission line two sides.
Preferably, the multistage transmission line is 4 ranks, and the shorting stub is 3 sections, wherein one section of shorting stub is arranged in 4 ranks
Center of transmission line, remaining two sections of shorting stubs are symmetricly set on 4 rank center of transmission line two sides.
Preferably, the multistage transmission line is 4 ranks, and the shorting stub is 4 sections, and the shorting stub is symmetrically distributed in 4
Rank center of transmission line two sides.
A kind of preparation method of the impedance transformer with Chebyshev's filtering characteristic of multistage transmission line and short-circuit line, packet
Include following steps:
Step 1: establish n rank transmission line abcd matrix and shorting stub abcd matrix:
Wherein,For the abcd matrix of i-th section of transmission line in n rank transmission line,For n rank transmission line
The abcd matrix of middle kth section shorting stub, n are transmission line order, and S is shorting stub number of segment, and θ is the electricity length of transmission line and shorting stub
Degree, ZiFor the characteristic impedance of i-th section of transmission line in n rank transmission line, ZskFor the characteristic impedance of kth section shorting stub in n rank transmission line；
Step 2: along the n rank transmission line input terminal to output extreme direction, according to the positional relationship of transmission line and shorting stub,
Transmission line abcd matrix and shorting stub abcd matrix are successively connected into multiplied arrive
Step 3: determine n rank transmission line input terminal to output end transmission coefficient are as follows:
Wherein, k=ZS/ZL, and k >=1,Transmission coefficient for n rank transmission line input terminal to output end, ZSFor n rank
Transmission line input terminal cell impedance, ZLFor n rank transmission line output end unit impedance；
Step 4: according to the transmission formula of the ripples such as n rank Chebyshev ideally:
So thatDetermine the feature resistance of the n section transmission line in the n rank transmission line and S sections of shorting stubs
Anti- value.
Preferably, in step 2, transmission line abcd matrix and shorting stub abcd matrix are connected into multiplied arrive
Wherein, a0,a1,...,an；b0,b1,…,bn,bn+1；c0,c1,…,cn,cn+1；d0,d1,...,dnFor coefficient, and by
The characteristic impedance of each section of transmission line and shorting stub determines.
Preferably, in step 3, the determination of transmission coefficient of the n rank transmission line input terminal to output end is by such as
Lower formula determines；
And | S11|2+|S21|2=1；
Wherein, S11For the reflection coefficient of n rank transmission line input terminal to output end.
Preferably, in step 3,
Wherein, X0,X1,…,Xn；Y0,Y1,…,Yn,Yn+1For characteristic impedance coefficient, and Xn=(an-kdn), Yn+1=(bn+1-
kcn+1)。
Preferably, in step 4:
It enablesSo that
Wherein, u0,u1,…,un,un+1For coefficient；
Pass through the equal determination of corresponding term coefficient:
When n is even number,
X0=X2=...=Xn=0；Yn+1=ε un+1,Yn-1=ε un-1,…Y3=ε u3,Y1=ε u1；
When n is odd number,
X1=X3=...=Xn=0；Yn+1=ε un+1,Yn-1=ε un-1,...Y2=ε u2,Y0=ε u0；
The relationship between n sections of transmission lines and the characteristic impedance value of S sections of shorting stubs is determined according to the relationship between coefficient, and is asked
Solve the characteristic impedance value of n sections of transmission lines and S sections of shorting stubs.
Preferably, further includes:
The characteristic impedance value of the n section transmission line of acquisition and S sections of shorting stubs is input in ADS and obtains n sections of transmission lines and S sections
The wire length and line width of shorting stub,
The wire length and line width are input in Sonnet and do electromagnetic-field simulation, and is corrected to obtain n sections of transmission lines and S
The practical wire length and line width of section shorting stub；
Front Slab is made according to the practical wire length and line width, and the front Slab is made into 1:1 picture lattice
After formula prints in circuit board printer, copper sheet is eroded with corrosive liquid.
It is of the present invention the utility model has the advantages that
(1) the impedance transformation with Chebyshev's filtering characteristic of the present invention designs and develops multistage transmission line and short-circuit line
Device reduces the number of the shorting stub of impedance transformer, can change the impedance of device input and there is Chebyshev to filter spy
Property, it works in specific frequency.And its filtering characteristic is than more gentle.On the other hand it is filtered compared to traditional with Chebyshev
The impedance transformer of characteristic, under specific constraint condition, can relatively flexible change model, realize Chebyshev filtering
Characteristic.
(2) the impedance transformation with Chebyshev's filtering characteristic of the present invention designs and develops multistage transmission line and short-circuit line
The preparation method of device reduces the number of the shorting stub of impedance transformer, reduces the number for the shorting stub that impedance transformer connects.It can root
According to the parameter designing etc. of microstrip line, the impedance transformer for selecting which model which kind of model done can be preferably removed.And
Different in the characteristic impedance of the shorting stub of different location, we can go according to the demand in our engineering, select ours
The model of device, flexibility are high.
Detailed description of the invention
Fig. 1 is n section transmission line and the shorting stub of (n+1) section of usual Chebyshev's filtering characteristic to realize impedance transformer
Design drawing.
Fig. 2 is the design drawing of impedance transformer described in the embodiment of the present invention 1.
Fig. 3 is the design drawing of impedance transformer described in the embodiment of the present invention 2.
Fig. 4 is the design drawing of impedance transformer described in the embodiment of the present invention 3.
Fig. 5 is the design drawing of impedance transformer described in the embodiment of the present invention 4.
Fig. 6 is the design drawing of impedance transformer described in the embodiment of the present invention 5.
Fig. 7 is the simulation waveform that the present invention waits ripples impedance transformer in embodiment 1 obtained in ADS.
Fig. 8 is the simulation waveform for the equal ripples impedance transformer that the embodiment of the present invention 1 obtains after Sonnet correction.
Specific embodiment
Present invention will be described in further detail below with reference to the accompanying drawings, to enable those skilled in the art referring to specification text
Word can be implemented accordingly.
The present invention provides the impedance transformer with Chebyshev's filtering characteristic of a kind of multistage transmission line and short-circuit line, packet
Include: input end unit and output end unit further include passing through multistage transmission line successively between input end member and output end unit
Concatenated impedance converter unit；And the shorting stub no more than multistage transmission line quantity, when multistage rank transmission line is odd-order,
The shorting stub is even number section, and is symmetrically distributed in the multistage center of transmission line two sides；When the multistage transmission line is even number
When rank and the shorting stub are even number section, the shorting stub is symmetrically distributed in the multistage center of transmission line two sides；When described more
When rank transmission line is even-order and the shorting stub is odd number section, it is provided with one section of shorting stub at the multistage center of transmission line,
Remaining shorting stub is symmetrically distributed in the multistage center of transmission line two sides.
Embodiment 1
As shown in Fig. 2, the present embodiment is 4 rank transmission lines, setting is sequentially connected in series in input end unit and output end unit
Between, shorting stub quantity is 2 sections, is symmetrically distributed in 4 rank center of transmission line two sides, and specific first segment shorting stub setting is the
Between one section of transmission line and second segment transmission line, second segment shorting stub setting third end transmission line and the 4th section of transmission line it
Between, to obtain the ripples filtering characteristic such as Chebyshev.
Embodiment 2
As shown in figure 3, the present embodiment is 4 rank transmission lines, setting is sequentially connected in series in input end unit and output end unit
Between, shorting stub quantity is 2 sections, is symmetrically distributed in 4 rank center of transmission line two sides, and specific first segment shorting stub setting is the
Between one section of transmission line and input end unit, second segment shorting stub is arranged at the 4th section between transmission line and output end unit.This
In the case of kind, compared to embodiment 1, the electrical length of shorting stub and characteristic impedance are all sent out and are changed.It in this case can be with
It is gone to select different selections according to the engineering demand of oneself.
Embodiment 3
As shown in figure 4, the present embodiment is 4 rank transmission lines, setting is sequentially connected in series in input end unit and output end unit
Between, shorting stub quantity is 3 sections, wherein one section of shorting stub setting, in 4 rank center of transmission line, remaining two sections of shorting stubs are symmetrical arranged
In 4 rank center of transmission line two sides, specific first segment shorting stub is arranged between second segment transmission line and third section transmission line, and
And a selected specific value, second segment shorting stub are arranged between first segment transmission line and second segment transmission line, third section is short
Wiring is arranged between third section transmission line and the 4th section of transmission line.
Embodiment 4
As shown in figure 5, the present embodiment is 4 rank transmission lines, setting is sequentially connected in series in input end unit and output end unit
Between, shorting stub quantity is 3 sections, wherein one section of shorting stub setting, in 4 rank center of transmission line, remaining two sections of shorting stubs are symmetrical arranged
In 4 rank center of transmission line two sides, specific first segment shorting stub is arranged between second segment transmission line and third section transmission line, and
And a selected specific value, between first segment transmission line and input end unit, third section is shorted for second segment shorting stub setting
Line is arranged at the 4th section between transmission line and output end unit.
Embodiment 5
As shown in fig. 6, the present embodiment is 4 rank transmission lines, setting is sequentially connected in series in input end unit and output end unit
Between, shorting stub is 4 sections, and the shorting stub is symmetrically distributed in 4 rank center of transmission line two sides, and particularly, first segment is shorted
Between first segment transmission line and input end unit, the 2nd section of shorting stub is arranged in the 4th section of transmission line and output end list for line setting
Between member, third section shorting stub is arranged between first segment transmission line and second segment transmission line, and the 4th section of shorting stub setting is the
Between three end transmission lines and the 4th section of transmission line.
The impedance transformer with Chebyshev's filtering characteristic of multistage transmission line and short-circuit line that the present invention designs and develops,
The number for reducing the shorting stub of impedance transformer can change the impedance of device input and have Chebyshev's filtering characteristic,
It works in specific frequency.And its filtering characteristic is than more gentle.On the other hand spy is filtered with Chebyshev compared to traditional
Property impedance transformer, under specific constraint condition, can relatively flexible change model, it is special to realize that Chebyshev filters
Property.
The present invention also provides the impedance transformers with Chebyshev's filtering characteristic of a kind of multistage transmission line and short-circuit line
Preparation method, specifically comprise the following steps:
Step 1: establish n rank transmission line abcd matrix and shorting stub abcd matrix:
Wherein,For the abcd matrix of i-th section of transmission line in n rank transmission line,For n rank transmission line
The abcd matrix of middle kth section shorting stub, n are transmission line order, and S is shorting stub number of segment, and θ is the electrical length of transmission line and shorting stub
(in the present embodiment, transmission line is consistent with the electrical length of shorting stub, is 1/4 wavelength), ZiFor i-th section of transmission in n rank transmission line
The characteristic impedance of line, ZskFor the characteristic impedance of kth section shorting stub in n rank transmission line；
Step 2: along the n rank transmission line input terminal to output extreme direction, according to the positional relationship of transmission line and shorting stub,
Transmission line abcd matrix and shorting stub abcd matrix are successively connected into multiplied arrive
Wherein, a0,a1,...,an；b0,b1,...,bn,bn+1；c0,c1,...,cn,cn+1；d0,d1,...,dnFor coefficient, and
It is determined by the characteristic impedance of each section of transmission line and shorting stub.
Step 3: according to the following formula:
And | S11|2+|S21|2=1；
Wherein, S11For the reflection coefficient of n rank transmission line input terminal to output end.
Determine n rank transmission line input terminal to output end transmission coefficient:
Wherein, k=ZS/ZL, and k >=1,Transmission coefficient for n rank transmission line input terminal to output end, ZSFor n rank
Transmission line input terminal cell impedance, ZLFor n rank transmission line output end unit impedance；
It can determine:
Wherein, X0,X1,...,Xn；Y0,Y1,…,Yn,Yn+1For characteristic impedance coefficient, and Xn=(an-kdn), Yn+1=
(bn+1-kcn+1)。
Step 4: according to the transmission formula of the ripples such as n rank Chebyshev ideally:
Wherein, u0,u1,...,un,un+1For coefficient；
So thatI.e.
Pass through the equal determination of corresponding term coefficient:
When n is even number,
X0=X2=...=Xn=0；Yn+1=ε un+1,Yn-1=ε un-1,...Y3=ε u3,Y1=ε u1；
When n is odd number,
X1=X3=...=Xn=0；Yn+1=ε un+1,Yn-1=ε un-1,...Y2=ε u2,Y0=ε u0；
The relationship simultaneous between n sections of transmission lines and the characteristic impedance value of S sections of shorting stubs is determined according to the relationship between coefficient
Equation group, and solve the characteristic impedance value of n sections of transmission lines and S sections of shorting stubs.
Step 5: the characteristic impedance value of the n section transmission line of acquisition and S sections of shorting stubs being input in ADS and obtains n sections of transmission
The wire length and line width of line and S sections of shorting stubs,
The wire length and line width are input in Sonnet and do electromagnetic-field simulation, and is corrected to obtain n sections of transmission lines and S
The practical wire length and line width of section shorting stub；
Front Slab is made according to the practical wire length and line width, and the front Slab is made into 1:1 picture lattice
After formula prints in circuit board printer, copper sheet is eroded with corrosive liquid.
Illustrate multistage transmission line and short-circuit line of the present invention by taking embodiment 1 as an example below has Chebyshev
The preparation method of the impedance transformer of filtering characteristic:
It introduces first, the concept of the ripples such as Chebyshev.Firstly, n rank Chebyshev polynomials use Tn(x) it indicates
Polynomial of degree n.Wherein, first few items Chebyshev polynomials are as follows:
T1(x)=x
T2(x)=2x2-1
T3(x)=4x3-3x
T4(x)=8x3-8x+1
.....
High-order Chebyshev polynomials can be indicated with recurrence formula:
Tn=2xTn-1(x)-Tn-2(x)
For Chebyshev's formula, following characteristic can be made into equal ripples:
1. for -1≤x≤1, | Tn(x)|≤1.For x in the section for -1 to 1, Chebyshev polynomials are positive and negative
It is shaken between 1.
2. for | x | > 1 does not shake between positive and negative 1, | Tn(x) | rapidly increase with the increase of x and n.
It is entire if x=cos θ | Tn(x) | it can be shaken between positive and negative 1, to obtain the ripples such as Chebyshev.
Specifically comprise the following steps:
Step 1: establish 4 rank transmission line abcd matrixs and shorting stub abcd matrix:
Wherein,For the abcd matrix of i-th section of transmission line in 4 rank transmission lines,For 4 rank transmission lines
The abcd matrix of middle kth section shorting stub, 4 have 4 end transmission lines for transmission line order, and shorting stub number of segment is 2 sections, and θ is transmission line
With the electrical length of shorting stub, ZiFor the characteristic impedance of i-th section of transmission line in n rank transmission line, ZskIt is short for kth section in n rank transmission line
The characteristic impedance of wiring；
Step 2: along the n rank transmission line input terminal to output extreme direction, according to the positional relationship of transmission line and shorting stub
Transmission line abcd matrix and shorting stub abcd matrix are successively connected multiplied arrive by (as shown in Figure 2):
AT=a4cos4θ+a2cos2θ+a0；
DT=d4cos4θ+d2cos2θ+d0；
Each coefficient is determined by the impedance of each section of transmission line and shorting stub:
Step 3: according to the following formula:
And | S11|2+|S21|2=1；
Wherein, S11For the reflection coefficient of n rank transmission line input terminal to output end.
Determine n rank transmission line input terminal to output end transmission coefficient:
Wherein, k=Zl/Zs, and k >=1,Transmission coefficient for n rank transmission line input terminal to output end, ZsFor n rank
Transmission line input terminal cell impedance, ZlFor n rank transmission line output end unit impedance；
Enable Xn=(an-kdn), Yn+1=(bn+1-kcn+1)；
It can determine:
Step 4: according to the transmission formula of the ripples such as 4 rank Chebyshevs ideally:
Wherein,
u1,u3,u5It for coefficient and is known constant；
So that
I.e.I.e.
Pass through the equal determination of corresponding term coefficient:
X0=X2=X4=0；
Y5=ε u5,Y3=ε u3,Y1=ε u1；
The available equation group containing 6 equations of simultaneous:
And a0,a2,a4,d0,d2,d4,b1,b3,b5,c1,c3,c5With each section of transmission line and the relationship of the impedance of shorting stub as walked
Formula in rapid 2 can solve the unique of the impedance of each section of transmission line and shorting stub since 6 equations have corresponded to 6 unknown quantitys
Solution.The impedance value for solving each section of transmission line and shorting stub is as shown in table 1.
The impedance value of table 1 each section of transmission line and shorting stub
| Serial number | Impedance (Ohm) |
| First segment transmission line | 71.8238762 |
| First segment shorting stub | 135.3865211 |
| Second segment transmission line | 54.1909639 |
| Third section transmission line | 38.3187981 |
| Second segment shorting stub | 39.0896958 |
| 4th section of transmission line | 35.9119381 |
Step 5: verifying finds out the value (impedance value of each section of transmission line and shorting stub) come in the middle of ADS, manages with us
Whether the ripples such as the Chebyshev in thinking.As shown in Figure 7.
Step 6: the plank parameter in ADS in setting experiment obtains corresponding wire length and line width, then arrives again
Electromagnetic-field simulation is done in Sonnet.Since the wire length and line width that calculate in ADS all empirically calculate
Value, thus it there are some errors between truthful data.So needing to change 6 sections of transmission lines when electromagnetic-field simulation
Wire length, to obtain the optimal data that we want.
Finally under the correction in Sonnet, the wire length and line width of 4 sections of transmission lines and S sections of shorting stubs, specific data are obtained
As shown in table 2.
Model data after the correction of table 2
| Serial number | Wire length (mm) | Line width (mm) |
| First segment transmission line | 18.55 | 1.32 |
| First segment shorting stub | 19.10 | 0.30 |
| Second segment transmission line | 18.29 | 2.12 |
| Third section transmission line | 17.95 | 3.52 |
| Second segment shorting stub | 19.00 | 3.42 |
| 4th section of transmission line | 17.47 | 3.84 |
According to the data after correction, waveform diagram is generated in Sonnet, as shown in Figure 8, it can be seen that can obtain cutting ratio
The ripples such as husband are avenged, illustrate that this method is reasonable.
Step 7: being made into 1:1 picture format, ready-to-print illustraton of model from the model of Sonnet front panel obtained in.?
In microwave circuit boards printer MDP-10, the picture that prints out out.Copper, Cu corrosion is fallen with solution again, us can be made
Desired circuit board model.
The impedance transformer with Chebyshev's filtering characteristic of multistage transmission line and short-circuit line that the present invention designs and develops
Preparation method, reduce the number of the shorting stub of impedance transformer, reduce the number for the shorting stub that impedance transformer connects.It can basis
Parameter designing of microstrip line etc. can preferably remove the impedance transformer for selecting which model which kind of model done.And
The characteristic impedance of the shorting stub of different location is different, we can go according to the demand in our engineering, selects our device
The model of part, flexibility are high.
Although the embodiments of the present invention have been disclosed as above, but its is not only in the description and the implementation listed
With it can be fully applied to various fields suitable for the present invention, for those skilled in the art, can be easily
Realize other modification, therefore without departing from the general concept defined in the claims and the equivalent scope, the present invention is simultaneously unlimited
In specific details and legend shown and described herein.
Claims (10)
1. the impedance transformer with Chebyshev's filtering characteristic of a kind of multistage transmission line and short-circuit line, including input end unit
And output end unit, which is characterized in that further include between the input end unit and the output end unit by multistage biography
The impedance converter unit that defeated line is sequentially connected in series；And
No more than the shorting stub of multistage transmission line quantity；
Wherein, when the multistage transmission line is odd-order, the shorting stub is even number section, and is symmetrically distributed in the multistage biography
Defeated line center two sides；
When the multistage transmission line is even-order and the shorting stub is even number section, the shorting stub is symmetrically distributed in described more
Rank center of transmission line two sides；
When the multistage transmission line is even-order and the shorting stub is odd number section, it is provided at the multistage center of transmission line
One section of shorting stub, remaining shorting stub are symmetrically distributed in the multistage center of transmission line two sides.
2. the impedance transformer with Chebyshev's filtering characteristic of multistage transmission line and short-circuit line as described in claim 1,
It is characterized in that, the multistage transmission line is 4 ranks, the shorting stub is 2 sections, and the shorting stub is symmetrically distributed in the transmission of 4 ranks
Line center two sides.
3. the impedance transformer with Chebyshev's filtering characteristic of multistage transmission line and short-circuit line as described in claim 1,
It is characterized in that, the multistage transmission line is 4 ranks, the shorting stub is 3 sections, wherein one section of shorting stub is arranged in 4 rank transmission lines
Center, remaining two sections of shorting stubs are symmetricly set on 4 rank center of transmission line two sides.
4. the impedance transformer with Chebyshev's filtering characteristic of multistage transmission line and short-circuit line as described in claim 1,
It is characterized in that, the multistage transmission line is 4 ranks, the shorting stub is 4 sections, and the shorting stub is symmetrically distributed in the transmission of 4 ranks
Line center two sides.
5. a kind of preparation method of the impedance transformer with Chebyshev's filtering characteristic of multistage transmission line and short-circuit line, special
Sign is, includes the following steps:
Step 1: establish n rank transmission line abcd matrix and shorting stub abcd matrix:
Wherein,For the abcd matrix of i-th section of transmission line in n rank transmission line,For kth in n rank transmission line
The abcd matrix of section shorting stub, n are transmission line order, and S is shorting stub number of segment, and θ is the electrical length of transmission line and shorting stub, ZiFor
The characteristic impedance of i-th section of transmission line, Z in n rank transmission lineskFor the characteristic impedance of kth section shorting stub in n rank transmission line；
Step 2: along the n rank transmission line input terminal to output extreme direction, according to the positional relationship of transmission line and shorting stub, successively
Transmission line abcd matrix and shorting stub abcd matrix are connected into multiplied arrive
Step 3: determine n rank transmission line input terminal to output end transmission coefficient are as follows:
Wherein, k=ZS/ZL, and k >=1,Transmission coefficient for n rank transmission line input terminal to output end, ZSFor the transmission of n rank
Line input terminal cell impedance, ZLFor n rank transmission line output end unit impedance；
Step 4: according to the transmission formula of the ripples such as n rank Chebyshev ideally:
So thatDetermine the characteristic impedance of n the section transmission line and S sections of shorting stubs in the n rank transmission line
Value.
6. the impedance transformer with Chebyshev's filtering characteristic of multistage transmission line as claimed in claim 5 and short-circuit line
Preparation method, which is characterized in that in step 2, transmission line abcd matrix and shorting stub abcd matrix are connected into multiplied arrive
Wherein, a0,a1,...,an；b0,b1,...,bn,bn+1；c0,c1,...,cn,cn+1；d0,d1,...,dnFor coefficient, and by each
The characteristic impedance of section transmission line and shorting stub determines.
7. the impedance transformer with Chebyshev's filtering characteristic of multistage transmission line as claimed in claim 6 and short-circuit line
Preparation method, which is characterized in that in step 3, the determination of transmission coefficient of the n rank transmission line input terminal to output end passes through
Following formula determines；
And | S11|2+|S21|2=1；
Wherein, S11For the reflection coefficient of n rank transmission line input terminal to output end.
8. the impedance transformer with Chebyshev's filtering characteristic of multistage transmission line as claimed in claim 7 and short-circuit line
Preparation method, which is characterized in that in step 3,
Wherein, X0,X1,...,Xn；Y0,Y1,...,Yn,Yn+1For characteristic impedance coefficient, and Xn=(an-kdn), Yn+1=(bn+1-
kcn+1)。
9. the impedance transformer with Chebyshev's filtering characteristic of multistage transmission line as claimed in claim 8 and short-circuit line
Preparation method, which is characterized in that in step 4:
It enablesSo that
Wherein, u0,u1,...,un,un+1For coefficient；
Pass through the equal determination of corresponding term coefficient:
When n is even number,
X0=X2=...=Xn=0；Yn+1=ε un+1,Yn-1=ε un-1,...Y3=ε u3,Y1=ε u1；
When n is odd number,
X1=X3=...=Xn=0；Yn+1=ε un+1,Yn-1=ε un-1,...Y2=ε u2,Y0=ε u0；
The relationship between n sections of transmission lines and the characteristic impedance value of S sections of shorting stubs is determined according to the relationship between coefficient, and solves n
The characteristic impedance value of section transmission line and S sections of shorting stubs.
10. the impedance transformer with Chebyshev's filtering characteristic of multistage transmission line and short-circuit line as claimed in claim 9
Preparation method, which is characterized in that further include:
The characteristic impedance value of the n section transmission line of acquisition and S sections of shorting stubs is input in ADS and obtains n sections of transmission lines and S sections of short circuits
The wire length and line width of line,
The wire length and line width are input in Sonnet and do electromagnetic-field simulation, and is corrected to obtain n sections of transmission lines and S sections short
The practical wire length and line width of wiring；
Front Slab is made according to the practical wire length and line width, and the front Slab is made into 1:1 picture format and is existed
After printing in circuit board printer, copper sheet is eroded with corrosive liquid.
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