CN106785258B - A kind of Wide stop bands microstrip line low-pass filter and design method - Google Patents
A kind of Wide stop bands microstrip line low-pass filter and design method Download PDFInfo
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- CN106785258B CN106785258B CN201611067615.1A CN201611067615A CN106785258B CN 106785258 B CN106785258 B CN 106785258B CN 201611067615 A CN201611067615 A CN 201611067615A CN 106785258 B CN106785258 B CN 106785258B
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01P—WAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
- H01P1/00—Auxiliary devices
- H01P1/20—Frequency-selective devices, e.g. filters
- H01P1/201—Filters for transverse electromagnetic waves
- H01P1/203—Strip line filters
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01P—WAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
- H01P11/00—Apparatus or processes specially adapted for manufacturing waveguides or resonators, lines, or other devices of the waveguide type
- H01P11/007—Manufacturing frequency-selective devices
Abstract
The present invention relates to electronic technology field, a kind of Wide stop bands microstrip line low-pass filter and design method are provided.The present invention will fold stepped impedance low-pass filter inductance line segment and arrange according to certain shapes, the zero point folded in stepped impedance low-pass filter stopband is set to be moved to the position identical or neighbouring with parasitic passband pole, generate neutralization effect, to make the parasitic passband of script become stopband to achieve the purpose that expand filter stop bend bandwidth, suitable shape arrangement can obtain the effect for reducing volume simultaneously.Microstrip line is carried out right-angle bending by the present invention, forms Wide stop bands microstrip line low-pass filter;By the 1st inductance unit, into the n-th inductance unit, at least one setting keeps the inductance of zero point and pole cancellation outside microstrip line band to offset structure, and it is that inductance unit folds that inductance, which offsets structure,;Inductance offsets four side of structure parallel x-axis and Y-axis simultaneously.
Description
Technical field
The present invention relates to electronic technology field, especially a kind of Wide stop bands microstrip line low-pass filter and design method.
Background technique
Electronic countermeasure and other wide-band microwave communications fields need the microwave low-pass filter of Wide stop bands to remove high frequency spurs
Signal.Microstrip line is since volume is relatively small and is convenient for being integrated with other microwave devices, the most extensive, the mesh of application
There are mainly four types of forms for preceding common microstrip line low-pass filter: (1) as shown in Figure 1a, stepped impedance line low-pass filter is used
The wider line equivalent parallel capacitor of line width simulates series inductance with the relatively narrow line of line width, and this filter is readily designed and produced,
The resistance band of 3 frequencys multiplication generally may be implemented, but volume is larger, proximal end Out-of-band rejection is bad;(2) open circuit minor matters line low pass filtered
Wave device, this form realize shunt capacitance with open circuit minor matters line, and overall volume is smaller, the resistance band of 3 frequencys multiplication may be implemented, closely
Hold Out-of-band rejection equally bad;(3) as shown in Figure 1 b, half lump low-pass filter, this low-pass filter stepped impedance line
It is directly realized by shunt capacitance, volume is smaller, and has relatively good proximal end Out-of-band rejection, but resistance band only has 2 frequencys multiplication left
It is right;(4) as illustrated in figure 1 c, folded form stepped impedance line low-pass filter is by the electricity of traditional stepped impedance low-pass filter
Sense is bent, make shunt capacitance be close together and it is stronger intercouple, this structural volume is very compact, and has preferable
Proximal end Out-of-band rejection, but resistance band usually only 2 frequencys multiplication or so, are frequently used in Practical Project, but since stopband is wide
Relative narrower is spent, its application range is limited.
Summary of the invention
The technical problems to be solved by the present invention are: in view of the problems of the existing technology, providing a kind of Wide stop bands micro-strip
Line low-pass filter and design method.The present invention will fold stepped impedance low-pass filter inductance line segment and arrange according to certain shapes
Cloth makes the zero point folded in stepped impedance low-pass filter stopband be moved to the position identical or neighbouring with parasitic passband pole
It sets, generates neutralization effect, to make the parasitic passband of script become stopband to achieve the purpose that expand filter stop bend bandwidth, close
Suitable shape arrangement can obtain the effect for reducing volume simultaneously.
The technical solution adopted by the invention is as follows:
A kind of Wide stop bands microstrip line low pass filter design method includes:
Step 1: microstrip line line width wider part position equivalent parallel capacitor forms capacitor cell;With microstrip line line width narrower part
Position simulation series inductance, forms inductance unit;Wide stop bands microstrip line low-pass filter input/output port all passes through inductance unit
It realizes;Capacitor cell and inductance unit interval are arranged;First capacitor list is set between the first inductance unit, the second inductance unit
Member;The n-th capacitor cell is set between m-1 inductance unit and m inductance unit;M=n+1, n > 1;Inductance unit length initial valueCapacitor cell length initial valueWhereinFor phase constant, R0For characteristic impedance, Zl、ZhPoint
Inductance unit impedance, capacitor cell impedance are not corresponded to, and C, L are that corresponding order low-pass filter prototype normalizes component value, and μ is magnetic
Conductance, ∈ are dielectric constant;In the case where volume and technique allow, capacitor cell line width and inductance unit line width ratio are as far as possible
Greatly, inductance unit length initial value and capacitor cell length initial value are finely adjusted, it is low to meet Wide stop bands microstrip line for response after fine tuning
The index of bandpass filter return loss design;
Step 2: microstrip line is subjected to right-angle bending;At least one setting into the (n-1)th inductance unit by the 2nd inductance unit
The inductance of the outer zero point of microstrip line band and parasitic passband pole cancellation is kept to offset structure, it is that inductance unit folds that inductance, which offsets structure,
It forms;Inductance offsets four side of structure and distinguishes parallel x-axis or Y-axis, and wherein x-axis is vertical with y-axis.
Further, the design process that inductance offsets structure in the step 2 specifically includes:
Step 21: on the basis of step 1, microstrip line being subjected to right-angle bending;Microstrip line line width wider part position equivalent parallel
Capacitor forms capacitor cell, forms folded form stepped impedance low-pass filter;
Step 22: to the Wide stop bands micro-strip in the folded form stepped impedance low-pass filter and step 1 formed in step 21
Line low-pass filter carries out electromagnetism three-dimensional artificial respectively;
Step 23: simulation result being compared, is ended in low pass filter cutoff frequency and folded form stepped impedance line
Under frequency same case, if selected inductance offset structure make it is complete at the parasitic passband of Wide stop bands microstrip line low-pass filter
The Out-of-band rejection of portion or a part of frequency increases, then it is exactly a kind of Wide stop bands microstrip line low-pass filtering that this inductance, which offsets structure,
Inductance when device zero point and parasitic passband pole cancellation offsets structure.
Further, the 1st inductance unit and the n-th inductance unit are arranged right-angle bending component, i.e. the 1st inductance unit and
N-th inductance unit part microstrip line is parallel with y-axis, and the 1st inductance unit and the n-th inductance unit rest part microstrip line x-axis are parallel.
Further, when n is even number, the 1st capacitor cell and n-th of capacitor cell area equation in capacitor cell;
2nd capacitor cell and (n-1)th capacitor cell area equation in capacitor cell;The n-th/2 capacitor cell and n-th/2+1 capacitor list
Elemental area is equal;M is odd number, the 1st inductance unit phase corresponding with m-th of inductance unit line width and wire length in inductance unit
Deng;The 2nd inductance unit is equal to each other with the m-1 inductance unit line width and wire length in inductance unit;(m-1)/2 capacitor
Unit is equal to each other with (m+3)/2 capacitor cell line width and wire length;
When n is odd number, the 1st capacitor cell and n-th of capacitor cell area equation in capacitor cell;In capacitor cell
2nd capacitor cell and (n-1)th capacitor cell area equation;(n-1)/2 capacitor cell and (n+3)/2 capacitor cell face
Product is equal.
Further, the line width of the microstrip line is more relatively narrow than line width big 5 times of width or more wider;Inductive length after bending
With inductive length error before bending positive and negative 10%.
A kind of Wide stop bands microstrip line low-pass filter includes:
Folded form stepped impedance low-pass filter is used for microstrip line line width wider part position equivalent parallel capacitor, forms capacitor
Unit;Series inductance is simulated with microstrip line line width narrower region, forms inductance unit;The input of Wide stop bands microstrip line low-pass filter
Output port is all realized by inductance unit;Capacitor cell and inductance unit interval are arranged;First inductance unit, the second inductance list
First capacitor unit is set between member;The n-th capacitor cell is set between m-1 inductance unit and m inductance unit;M=n+1, n
> 1;Inductance unit length initial valueCapacitor cell length initial valueWhereinIt is normal for phase
Number, R0For characteristic impedance, Zl、ZhInductance unit impedance, capacitor cell impedance are respectively corresponded, C, L are corresponding order low-pass filter
Prototype normalizes component value, and μ is magnetic conductivity, and ∈ is dielectric constant;In the case where volume and technique allow, capacitor cell line width
It is big as far as possible with inductance unit line width ratio, inductance unit length initial value and capacitor cell length initial value are finely adjusted, after fine tuning
Response meets the index of Wide stop bands microstrip line low-pass filter return loss design;
Wide stop bands microstrip line low-pass filter, on the basis of folded form stepped impedance low-pass filter, by microstrip line into
Row right-angle bending, by the 2nd inductance unit into the (n-1)th inductance unit at least one be arranged to keep microstrip line band outside zero point with post
The inductance of raw passband pole cancellation offsets structure, and it is that inductance unit folds that inductance, which offsets structure,;Inductance offsets four side of structure
Parallel x-axis or Y-axis respectively, wherein x-axis is vertical with y-axis.
Further, the design process that the inductance offsets structure specifically includes:
On the basis of folded form stepped impedance low-pass filter, microstrip line is subjected to right-angle bending, microstrip line line width is wider
Position equivalent parallel capacitor forms capacitor cell, forms folded form stepped impedance low-pass filter;
It is imitative that electromagnetism three-dimensional is carried out respectively to folded form stepped impedance low-pass filter and Wide stop bands microstrip line low-pass filter
Very;
Simulation result is compared, under low pass filter cutoff frequency and folded form stepped impedance same case, if
Selected inductance offsets structure and makes all or part frequency at the parasitic passband of Wide stop bands microstrip line low-pass filter
Out-of-band rejection increase, then this inductance offset structure be exactly a kind of Wide stop bands microstrip line low-pass filter zero pole point offset when
Inductance offsets structure.
Further, the 1st inductance unit and the n-th inductance unit are arranged right-angle bending component, i.e. the 1st inductance unit and
N-th inductance unit part microstrip line is parallel with y-axis, and the 1st inductance unit and the n-th inductance unit rest part microstrip line x-axis are parallel.
Further, when n is even number, the 1st capacitor cell and n-th of capacitor cell area equation in capacitor cell;
2nd capacitor cell and (n-1)th capacitor cell area equation in capacitor cell;The n-th/2 capacitor cell and n-th/2+1 capacitor list
Elemental area is equal;M is odd number, the 1st inductance unit phase corresponding with m-th of inductance unit line width and wire length in inductance unit
Deng;The 2nd inductance unit is equal to each other with the m-1 inductance unit line width and wire length in inductance unit;(m-1)/2 capacitor
Unit is equal to each other with (m+3)/2 capacitor cell line width and wire length;
When n is odd number, the 1st capacitor cell and n-th of capacitor cell area equation in capacitor cell;In capacitor cell
2nd capacitor cell and (n-1)th capacitor cell area equation;(n-1)/2 capacitor cell and (n+3)/2 capacitor cell face
Product is equal.
Further, the line width of the microstrip line is more relatively narrow than line width big 5 times of width or more wider;Inductive length after bending
With inductive length error before bending positive and negative 10%.
In conclusion by adopting the above-described technical solution, the beneficial effects of the present invention are:
Find under folded form stepped impedance low pass filter cutoff frequency same case, Wide stop bands microstrip line low-pass filtering
Inductance when device zero pole point is offset offsets structure, so that Wide stop bands microstrip line low-pass filter output frequency multiplication reaches 4 times or more.
Wide stop bands low-pass filter is manufactured using thin-film technique, and thin-film technique line width lines precision is higher, and error is in ± 2um
Within, therefore the shapes of inductors error as caused by fabrication error is very small, yield rate can approach 100% in number situation big absolutely.
And film process technology plate-making is at low cost, the process-cycle is short, reliable in quality.
Detailed description of the invention
Fig. 1 a stepped impedance line schematic diagram in the prior art.
Fig. 1 b is half lump low-pass filter schematic diagram in the prior art.
Fig. 1 c is folded form stepped impedance low-pass filter schematic diagram.
Fig. 2 a is a kind of realization structure chart of the present invention.
Fig. 2 b is inductance unit selection signal figure in the present invention.
Fig. 3 a is another realization structure chart of the invention.
Fig. 3 b is Wide stop bands Microstrip Low-Pass effect picture.
Fig. 4 is that the third in the present invention realizes structure chart.
Specific embodiment
All features disclosed in this specification or disclosed all methods or in the process the step of, in addition to mutually exclusive
Feature and/or step other than, can combine in any way.
Any feature disclosed in this specification unless specifically stated can be equivalent or with similar purpose by other
Alternative features are replaced.That is, unless specifically stated, each feature is an example in a series of equivalent or similar characteristics
?.
Related description of the present invention:
When extending along microstrip line midpoint to both ends, inductance unit, capacitor cell length are gradually become smaller, with returning for low-pass prototype
One change component value trend is identical.
Inductance unit with line uses micro-strip printed circuit board technology;The inductance unit of microstrip line is processed using thin-film technique.
Why the structure, which may be implemented broad stop-band mainly, following key point:
1) selection of processing technology
Since the variation of the line segment of inductance can cause the position of stopband resonance zero point, the error that processing technology introduces can make humorous
Zero point of shaking deviates setting position, and the stopband inhibitory effect of actual product is caused to be deteriorated.Therefore design before should according to practical index into
Row assessment, takes high-precision technique implementation, such as thin-film technique as far as possible in the case where permission.
2) selection method of inductance line segment shape
The basic folding stepped impedance low-pass filter model in Fig. 1 c is first established, and carries out electromagnetism three-dimensional artificial.Then
Some in replacement basic model or certain inductance coils are gone with other shapes, then carries out electromagnetism three-dimensional artificial, will be emulated
As a result it compares, finds and make in the case where keeping cutoff frequency to be basically unchanged with outer zero point and parasitic passband pole cancellation
Inductance line segment shape (such as Fig. 2 b), then Fig. 2 a is a kind of specific implementation method of the invention.
Embodiment one: as shown in Figure 3a, being formed by low-pass filter using inductance line segment shape in such as Fig. 3 a can be
The even broader bandwidth of rejection of 4 frequencys multiplication is realized under very compact volume.Fig. 3 b is Fig. 3 a structure simulation effect.
Embodiment two: a kind of Wide stop bands microstrip line low pass filter design method includes:
Step 1: microstrip line line width wider part position equivalent parallel capacitor forms capacitor cell;With microstrip line line width narrower part
Position simulation series inductance, forms inductance unit;Wide stop bands microstrip line low-pass filter input/output port all passes through inductance unit
It realizes;Capacitor cell and inductance unit interval are arranged;First capacitor list is set between the first inductance unit, the second inductance unit
Member;The n-th capacitor cell is set between m-1 inductance unit and m inductance unit;M=n+1, n > 1;
Step 2: microstrip line being subjected to right-angle bending, at least one setting into the (n-1)th inductance unit by the 2nd inductance unit
The inductance of the outer zero point of microstrip line band and pole cancellation is kept to offset structure, it is that inductance unit folds that inductance, which offsets structure,;Electricity
Sense offsets four side of structure and distinguishes parallel x-axis and Y-axis, and wherein x-axis is vertical with y-axis.
The design process that wherein inductance offsets structure in the step 2 specifically includes:
Step 21: on the basis of step 1, being directly realized by capacitor cell with stepped impedance line, form folded form stepped impedance
Low-pass filter;
Step 22: to the folded form stepped impedance low-pass filter formed in step 21 in step 1 from Wide stop bands it is micro-
Band line low-pass filter carries out electromagnetism three-dimensional artificial respectively;
Step 23: simulation result being compared, is mutually sympathized in low pass filter cutoff frequency and folded form stepped impedance
Under condition, if selected inductance is offset structure and is made at the parasitic passband of Wide stop bands microstrip line low-pass filter all or one
The Out-of-band rejection of crossover rate increases, then it is exactly a kind of Wide stop bands microstrip line low-pass filter zero point and post that this inductance, which offsets structure,
Inductance when raw passband pole cancellation offsets structure.
Wherein right-angle bending component, i.e. the 1st inductance unit and the n-th electricity is arranged in the 1st inductance unit and the n-th inductance unit
Sense unit part microstrip line is parallel with y-axis, and the 1st inductance unit and the n-th inductance unit rest part microstrip line x-axis are parallel.
The invention is not limited to specific embodiments above-mentioned.The present invention, which expands to, any in the present specification to be disclosed
New feature or any new combination, and disclose any new method or process the step of or any new combination.
Claims (10)
1. a kind of Wide stop bands microstrip line low pass filter design method, characterized by comprising:
Step 1: microstrip line line width wider part position equivalent parallel capacitor forms capacitor cell;With microstrip line line width narrower region mould
Quasi- series inductance, forms inductance unit;Wide stop bands microstrip line low-pass filter input/output port is all realized by inductance unit;
Capacitor cell and inductance unit interval are arranged;First capacitor unit is set between the first inductance unit, the second inductance unit;M-
The n-th capacitor cell is set between 1 inductance unit and m inductance unit;M=n+1, n > 1;Inductance unit length initial valueCapacitor cell length initial valueWhereinFor phase constant, R0For characteristic impedance, Zl、ZhPoint
Inductance unit impedance, capacitor cell impedance are not corresponded to, and C, L are that corresponding order low-pass filter prototype normalizes component value, and μ is magnetic
Conductance, ∈ are dielectric constant, and ω is angular frequency;In the case where volume and technique allow, capacitor cell line width and inductance unit
Line width ratio is big as far as possible, and inductance unit length initial value and capacitor cell length initial value are finely adjusted, and response meets wide after fine tuning
The index of stopband microstrip line low-pass filter return loss design;
Step 2: microstrip line is subjected to right-angle bending;By the 2nd inductance unit into the (n-1)th inductance unit at least one be arranged to protect
The inductance for holding the outer zero point of microstrip line band and parasitic passband pole cancellation offsets structure, inductance offset structure be inductance unit fold and
At;Inductance offsets four side of structure and distinguishes parallel x-axis or Y-axis, and wherein x-axis is vertical with y-axis.
2. a kind of design method of Wide stop bands microstrip line low-pass filter according to claim 1, it is characterised in that described
The design process that inductance offsets structure in step 2 specifically includes:
Step 21: on the basis of step 1, microstrip line being subjected to right-angle bending;Microstrip line line width wider part position equivalent parallel capacitor,
Capacitor cell is formed, folded form stepped impedance low-pass filter is formed;
Step 22: low with the Wide stop bands microstrip line in step 1 to the folded form stepped impedance low-pass filter formed in step 21
Bandpass filter carries out electromagnetism three-dimensional artificial respectively;
Step 23: simulation result being compared, in low pass filter cutoff frequency and folded form stepped impedance line cutoff frequency
Under same case, if selected inductance offset structure make at the parasitic passband of Wide stop bands microstrip line low-pass filter all or
The Out-of-band rejection of a part of frequency of person increases, then it is exactly a kind of Wide stop bands microstrip line low-pass filter zero that this inductance, which offsets structure,
Point offsets structure with inductance when parasitic passband pole cancellation.
3. a kind of design method of Wide stop bands microstrip line low-pass filter according to claim 1, it is characterised in that described
Right-angle bending component, i.e. the 1st inductance unit and the n-th inductance unit part microstrip line is arranged in 1st inductance unit and the n-th inductance unit
Parallel with y-axis, the 1st inductance unit and the n-th inductance unit rest part microstrip line x-axis are parallel.
4. a kind of design method of Wide stop bands microstrip line low-pass filter according to claim 1, which is characterized in that
When n is even number, the 1st capacitor cell and n-th of capacitor cell area equation in capacitor cell;The 2nd in capacitor cell
A capacitor cell and (n-1)th capacitor cell area equation;The n-th/2 capacitor cell and n-th/2+1 capacitor cell area equation;m
For odd number, the 1st inductance unit is equal to each other with m-th of inductance unit line width and wire length in inductance unit;In inductance unit
2nd inductance unit is equal to each other with the m-1 inductance unit line width and wire length;(m-1)/2 capacitor cell and (m+
3)/2 capacitor cell line width and wire length are equal to each other;
When n is odd number, the 1st capacitor cell and n-th of capacitor cell area equation in capacitor cell;The 2nd in capacitor cell
A capacitor cell and (n-1)th capacitor cell area equation;(n-1)/2 capacitor cell and (n+3)/2 capacitor cell area
It is equal.
5. a kind of design method of Wide stop bands microstrip line low-pass filter according to claim 1, it is characterised in that described
The line width of microstrip line is more relatively narrow than line width big 5 times of width or more wider;Inductive length and the preceding inductive length error of bending after bending
Positive and negative 10%.
6. a kind of Wide stop bands microstrip line low-pass filter, characterized by comprising:
Folded form stepped impedance low-pass filter is used for microstrip line line width wider part position equivalent parallel capacitor, forms capacitor cell;
Series inductance is simulated with microstrip line line width narrower region, forms inductance unit;Wide stop bands microstrip line low-pass filter input and output
It is all realized by inductance unit port;Capacitor cell and inductance unit interval are arranged;First inductance unit, the second inductance unit it
Between be arranged first capacitor unit;The n-th capacitor cell is set between m-1 inductance unit and m inductance unit;M=n+1, n > 1;
Inductance unit length initial valueCapacitor cell length initial valueWhereinFor phase constant, R0
For characteristic impedance, Zl、ZhInductance unit impedance, capacitor cell impedance are respectively corresponded, C, L are corresponding order low-pass filter prototype
Component value is normalized, μ is magnetic conductivity, and ∈ is dielectric constant, and ω is angular frequency;In the case where volume and technique allow, capacitor
Unit line width and inductance unit line width ratio are big as far as possible, inductance unit length initial value and capacitor cell length initial value are carried out micro-
It adjusts, response meets the index of Wide stop bands microstrip line low-pass filter return loss design after fine tuning;
Wide stop bands microstrip line low-pass filter, for microstrip line being carried out straight on the basis of folded form stepped impedance low-pass filter
Angle bending, by the 2nd inductance unit into the (n-1)th inductance unit at least one be arranged to keep zero point outside microstrip line band to lead to parasitism
Inductance with pole cancellation offsets structure, and it is that inductance unit folds that inductance, which offsets structure,;Inductance offsets four side of structure difference
Parallel x-axis or Y-axis, wherein x-axis is vertical with y-axis.
7. a kind of Wide stop bands microstrip line low-pass filter according to claim 6, it is characterised in that the inductance offsets knot
The design process of structure specifically includes:
On the basis of folded form stepped impedance low-pass filter, microstrip line is subjected to right-angle bending, microstrip line line width wider part position
Equivalent parallel capacitor forms capacitor cell, forms folded form stepped impedance low-pass filter;
Electromagnetism three-dimensional artificial is carried out respectively to folded form stepped impedance low-pass filter and Wide stop bands microstrip line low-pass filter;
Simulation result is compared, under low pass filter cutoff frequency and folded form stepped impedance same case, if selected
Inductance offsets the band that structure makes all or part frequency at the parasitic passband of Wide stop bands microstrip line low-pass filter
Outer inhibition increases, then it is exactly a kind of Wide stop bands microstrip line low-pass filter zero point and parasitic passband pole that this inductance, which offsets structure,
Inductance when counteracting offsets structure.
8. a kind of Wide stop bands microstrip line low-pass filter according to claim 6, it is characterised in that the 1st inductance
Right-angle bending component, i.e. the 1st inductance unit and the n-th inductance unit part microstrip line is arranged in unit and the n-th inductance unit and y-axis is flat
Row, the 1st inductance unit and the n-th inductance unit rest part microstrip line x-axis are parallel.
9. a kind of Wide stop bands microstrip line low-pass filter according to claim 6, it is characterised in that when n is even number, electricity
Hold the 1st capacitor cell and n-th of capacitor cell area equation in unit;2nd capacitor cell and (n-1)th in capacitor cell
Capacitor cell area equation;The n-th/2 capacitor cell and n-th/2+1 capacitor cell area equation;M is odd number, the 1st in inductance unit
A inductance unit is equal to each other with m-th of inductance unit line width and wire length;2nd inductance unit and m-1 in inductance unit
A inductance unit line width and wire length are equal to each other;(m-1)/2 capacitor cell and (m+3)/2 capacitor cell line width and line
Length is equal to each other;
When n is odd number, the 1st capacitor cell and n-th of capacitor cell area equation in capacitor cell;The 2nd in capacitor cell
A capacitor cell and (n-1)th capacitor cell area equation;(n-1)/2 capacitor cell and (n+3)/2 capacitor cell area
It is equal.
10. a kind of Wide stop bands microstrip line low-pass filter according to claim 6, it is characterised in that the line of the microstrip line
It is more relatively narrow than line width big 5 times of width or more wide;Inductive length and the preceding inductive length error of bending are positive and negative 10% after bending.
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