CN107706487A - A kind of reconfigurable filter based on liquid metal - Google Patents

A kind of reconfigurable filter based on liquid metal Download PDF

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Publication number
CN107706487A
CN107706487A CN201710699532.2A CN201710699532A CN107706487A CN 107706487 A CN107706487 A CN 107706487A CN 201710699532 A CN201710699532 A CN 201710699532A CN 107706487 A CN107706487 A CN 107706487A
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liquid metal
resonator
transmission line
main transmission
reconfigurable filter
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CN201710699532.2A
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CN107706487B (en
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王正鹏
李赛
杨哲乙
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Beihang University
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Beihang University
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01PWAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
    • H01P1/00Auxiliary devices
    • H01P1/20Frequency-selective devices, e.g. filters
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01PWAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
    • H01P1/00Auxiliary devices
    • H01P1/20Frequency-selective devices, e.g. filters
    • H01P1/201Filters for transverse electromagnetic waves
    • H01P1/203Strip line filters
    • H01P1/2039Galvanic coupling between Input/Output
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01PWAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
    • H01P7/00Resonators of the waveguide type

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  • Physics & Mathematics (AREA)
  • Electromagnetism (AREA)
  • Control Of Motors That Do Not Use Commutators (AREA)

Abstract

The present invention relates to a kind of reconfigurable filter based on liquid metal, including one section of main transmission line (1), a series of coupled resonatorses, conduit (12), Micropump (10) and Micropump controller (11);Wherein, Micropump (10) is controlled by Micropump controller (11), by the resonant frequency for driving liquid metal distribution change wave filter in conduit.When the interior liquid metal distribution of the conduit (12) above dielectric-slab (13) metal ground is longer, the working frequency of resonator is relatively low, when the interior liquid metal distribution of the conduit (12) above dielectric-slab (13) metal ground is shorter, the working frequency of resonator is higher.The remarkable advantage of the wave filter is can to reach of a relatively high Q values compared to traditional tunable filter, and loss is relatively low, and the nonlinear effect such as third order intermodulation is very weak, is suitable as the high performance adjustable vibration frequency wave filter of radio-frequency front-end.

Description

A kind of reconfigurable filter based on liquid metal
Technical field
The present invention relates to the technical field of reconfigurable filter, and in particular to a kind of restructural filtering based on liquid metal Device.
Background technology
With the progress of mobile communication technology, the requirement more and more higher for radio-frequency front-end restructural, integrated reconfigurable filter The communication system of ripple device all greatly improves compared to legacy communications system antijamming capability and adaptive ability.
Reconfigurable filter can be divided into machinery mediation electricity according to the mechanism of restructural and adjust two kinds, in general machinery adjustment Wave filter have Q values high, the advantages of small is lost, shortcoming is that governing speed is relatively slow.Electric frequency modulation rate Structure Filter is dashed forward It is that cost is low to go out advantage, easy to use.At present, electric regulating mechanism research is more.Electric frequency modulation rate tunable band-stop resonator is according to tune The core component of section can be divided into semiconductor switch diode, semiconductor variable capacitance diode, micro-electromechanical switch, the pole of ferrite two again Pipe etc..The methods of mechanically tunable filter is mainly adjusted manually conventional, and motor adjusts or utilizes memory metal, with The extensive use of nontoxic normal temperature liquid metal, also begins to study the restructural filter based on liquid metal in filter field at present Ripple device.
Liquid metal passageway machining difficulty, centre frequency regulation back echo be present in the reconfigurable filter based on liquid metal Damage curve changes greatly, as three dB bandwidth changes the problems such as obvious.
Therefore, the high-performance restructural bandstop filter easy to process based on liquid metal is designed, to improving restructural The performance of wave filter is of practical significance.
The content of the invention
The present invention proposes a kind of new reconfigurable filter based on liquid metal, and the wave filter, which has, to be easy to add Work, control is easy, and return loss plot changes outstanding advantages of small with regulating frequency.
The technical solution adopted by the present invention is:A kind of reconfigurable filter based on liquid metal, including one section of main transmission Line, series of parallel line coupled resonators, conduit, Micropump and Micropump controller;It can be micro-strip that master, which is transmitted as microwave transmission line, The structures such as line, strip line, main transmission line are distributed on dielectric-slab, with having metal below dielectric-slab;In the side of main transmission line Or both sides are distributed with based on being electrically coupled or magnetic-coupled resonator, the resonance length of the resonator is made up of two parts superposition, one Part is that fixation is printed on dielectric-slab, and a part is made up of the liquid metal in conduit;Liquid metal part is in ground hole Position above section be resonator a part, ground connection hole site below part be integral with metal, do not influence Resonant frequency;Between the distance between liquid metal tuning part and main transmission line and the resonator parts and main transmission line of printing Distance is different.
The characteristics of structure is to employ the conduit for being easier processing, and conduit can be polytetrafluoroethyl-ne common on the market Alkene pipe, plastic tube etc., the 3-dimensional guide-tube structure using existing frequently-used special processing is avoided, by conduit below metal ground Structure has been ensconced below larger-size metal ground, and the liquid metal of the part does not almost have shadow to the resonance structure of wave filter Ring, this directly to control length of the liquid metal above dielectric-slab, liquid metal part self-contained one with Micropump The individual circulatory system, liquid metal with being not directly contacted with metal and printing resonance structure part.Another of the structure design It is noteworthy characterized by between the distance between liquid metal tuning part and main transmission line and the resonator parts and main transmission line of printing Distance it is different, this causes this two-part stiffness of coupling to differ, therefore when adjust filter center resonant frequency, possibility The return loss plot to keep relative stability, corresponding insertion loss curve also can be more stable.
Each resonator length of the wave filter is essentially identical, because mutual coupling effect may be entered to the length of each resonator Row fine setting, one end of resonator are grounded by ground via, and the aperture that conduit passes is reserved in ground via.The work frequency of resonator Rate is determined that the minimum resonance length of resonator is l by resonator length1+l2, when part length of the liquid metal above dielectric-slab Spend l3It is longer than l2When, the resonance length of resonator is l1+l3.The working frequency of resonator can be adjusted, operating center frequency Determined by the resonance length of resonator, the adjustable frequency scope of resonator is decided by resistance band, stopband edge return loss The parameters such as parameter change rate, when requiring relatively low to filter stop bend or band-pass behavior, adjustable frequency scope is wide, to filtering When device stopband or band-pass behavior require of a relatively high, adjustable frequency narrow range.
The liquid metal restructural part of each resonator is unified to be controlled by a Micropump, if necessary to each resonator Length adjustment amount is done and individually designed can realized by conduit diameter at control node.Micropump control is by deionized water and liquid gold Belong to the circulatory system collectively constituted, in the catheter, deionized water makes by micro- for filling jointly with deionized water and liquid metal Pressure caused by pump can accurately be delivered to liquid metal so as to realize the accurate control of liquid metal partial-length.Micropump conduct The main driver element of reconfigurable filter, Micropump are controlled by Micropump controller, can be by being programmed reality to Micropump controller Existing resonant frequency is with certain frequency change or filter stop bend or passband waveform with certain flexibility.
Between the distance between liquid metal tuning part and main transmission line and the resonator parts and main transmission line of printing Distance is different, and the distance between liquid metal tuning part and main transmission line exceed between the resonator parts and main transmission line of printing 2 times of distance when, the coupling between liquid metal tuning part and main transmission line can be ignored;Liquid metal tuning part and main biography The distance between defeated line is used to control the stiffness of coupling between liquid metal tuning part and main transmission line, by adjusting liquid metal The distance between tuning part and main transmission line can help the return loss plot of whole bandstop filter during tuning It is relatively stable.
The resonator element being related in the bandstop filter has certain universality, is convenient for adjusting with ground connection resonator The quasi resonant oscillator can be used for bandpass filter by the scheme of section, such as the resonator element of combed filter device.
The principle of the present invention is:
The present invention is a kind of reconfigurable filter based on liquid metal, takes full advantage of coupling closer to the distance between conductor When stronger, when frequency is higher, Approximate Equivalent is that two conductors realize electrical connection, makes restructural bandreject filtering so as to avoid The liquid metal part of device must be connected with the metal on printed circuit board.Make liquid metal part be present in one independent to follow In loop system.The present invention is by the resonator parts of the distance between liquid metal tuning part and main transmission line and printing and main biography Distance between defeated line is arranged to different values so that, can be to liquid metal tuning part during centre frequency adjusts It is separately controlled with the stiffness of coupling of the resonator parts of printing, so that whole wave filter remains able to after centre frequency adjustment Maintain metastable insertion loss curve.When filter centre frequency adjusts, the length of each resonant element, which changes, is substantially Identical, point control is carried out etc. to flow using same Micropump and can be realized as control to resonant element.
The present invention compared with prior art the advantages of be:
(1), the present invention solves the problems, such as the reconfigurable filter resonator processing difficulties based on liquid metal, will be whole Liquid metal control section is closed in the catheter, and conduit is the matured product that can be purchased on the market, and cost is relatively low.
(2), the present invention by the resonator parts of the distance between liquid metal tuning part and main transmission line and printing and Distance between main transmission line is arranged to different values, and this causes this two-part stiffness of coupling to differ, therefore is filtered in adjustment During device center resonant frequency, the return loss plot that may keep relative stability, corresponding insertion loss curve also can be relatively more steady It is fixed
(3), the present invention improves control system integration degree, and whole resonator is controlled by single Micropump, reduces and is Complexity of uniting and power consumption, for the technology, application provides possibility on the mobile terminal device.
Brief description of the drawings
Fig. 1 is a kind of reconfigurable filter structural representation based on liquid metal of the present invention;
Fig. 2 is that reconfigurable filter controls network diagram;
Fig. 3 is preferred embodiment schematic diagram;
Fig. 4 is wave filter simulation result S21Curve;
Fig. 5 is wave filter simulation result S11Curve;
Reference implication in figure is:1 is main transmission line, and 2 be first coupled resonators, and 3 be that second coupling is humorous Shake device, and 4 be n-th coupled resonators, and 5 be ground hole, and 6 be liquid metal, and 7 be deionized water, and 8 be in control network diagram In liquid metal, 9 be deionized water in network diagram control, and 10 be Micropump, and 11 be Micropump controller, and 12 be to lead Pipe, 13 be dielectric-slab, and 14 be that liquid metal conduit distributes network.
Embodiment
Below in conjunction with the accompanying drawings and embodiment further illustrates the present invention.
Present inventive concept is as follows:Fig. 1 is a kind of reconfigurable filter structural representation based on liquid metal of the present invention.Bag Include the coupled resonators 2, second of main transmission line 1, first coupled resonators 3 ..., n-th coupled resonators 4.Work as transmission When the frequency of signal is the resonant frequency of coupled resonators, resonance will occur on the resonator, reach on main transmission line 1 The frequency component is suppressed, and filters off the effect of the frequency.
By changing the resonance length for the resonator being coupled with main transmission line, its dominant frequency value can be changed, that is, change this filter The stopband range of ripple device, realize the purpose of restructural.To accomplish to adjust resonator resonance length, resonator is divided into solid by the present invention Fixed part and adjustable part, two parts are not directly contacted with, beneficial to regulation.When the distance between two parts conductor is substantial access to, coupling When conjunction degree is strong, electrical connection can be realized by two parts of Approximate Equivalent in high frequency.L-type is fixed part in figure, by being printed on Mini strip line resonator on circuit board is formed;Ground hole 5, liquid metal 6, deionized water 7 form adjustable part in figure, for encapsulation Liquid metal and plasma water in closed-loop conduit are formed.Conduit 12 is with crossing dielectric-slab 13 and metal, solid by liquid The circulatory system that state metal and deionized water 7 form.Its conduit 12 is market common materials, such as polytetrafluoroethylene (PTFE), to humorous Shake and have little to no effect.Deionized water 7 and the liquid metal that is hidden in below metal ground are also on resonance without influence.Thus adjustabel part The resonance length divided is only related to the liquid metal length above dielectric-slab.Dielectric-slab 13 can accurately be controlled by Micropump 10 Top liquid metal length, reaches change resonant frequency, realizes the purpose of restructural.
According to above-mentioned inventive concept, the present invention adopts the following technical scheme that:
Fig. 1 is a kind of reconfigurable filter structural representation based on liquid metal of the present invention;
First according to design objective, filter type is determined, then according to selected wave filter, goes to calculate resonator dimensions Parameter etc..
Design objective is 1.0GHz to design centre frequency, and with a width of 20MHz, input-output characteristic impedance is 50 Ω Bandstop filter.
We wait ripple Chebyshev's low pass model from exponent number n equal to 3.According to Chebyshev inequality, it is known that n=3, Ripple 0.1dB can determine the value of g parameters, then be changed by wave filter, and low pass model is switched to corresponding lamped element LC band Hinder wave filter.
g0=g4=1
Wherein, ΩcIt is 1 for the cut-off frequency after normalization;ω0Centered on frequency, be (ω1ω2)1/2= 6.2829GHz ω2And ω1Respectively two stop-band frequencies;γ0It is Z for impedance scale factor0/g0=50, Z0For main transmission line Characteristic impedance;FBW is relative bandwidth, is (ω21)/ω0=20/999=2%.Thus we, which draw, meets design objective Lumped parameter LC wave filters.
Afterwards, it is necessary to which the lumped parameter model is converted into L-type mini strip line resonator.Microstrip circuitry plate employs Luo Jie This 4350 design parameter, dielectric constant 3.66, thickness 10mil.Mini strip line resonator characteristic impedance Z can be obtainedUFor:
Because the characteristic impedance of microstrip line is by the Effective relative permittivity of dielectric-slab, media plate thickness, the width of microstrip line Degree and thickness determine.Three resonators that we use are set to identical resonator, the approximation calculated by microstrip line characteristic impedance Solve equation, the micro belt line width that can retrodict out resonator is:
W1=W2=W3=21.6mil=0.55mm
X parameter, i.e. reactance Slope Parameters are calculated afterwards,
Wherein Δ f0.1dBIt is (ω for 0.1dB bandwidth of rejection21)/2 π=20MHz, f0Centered on frequency 1.0GHz.
By software emulation, the relation of the spacing of x parameter and mini strip line resonator and main transmission line can be drawn, so as to really The spacing of each micro-strip resonantor and main transmission line is calmly:
S1=S3=10.7mil, S2=10.0mil
By centre frequency, the resonance length that can calculate resonator is:
l11=l12=l13=700mil,
Wherein c is the light velocity in vacuum, and f is resonant frequency, εeffFor effective dielectric constant.
By emulation, when resonator length is adjusted to different length, the S parameter curve of wave filter is obtained.Specific resonance Device length is respectively set to:
l31=1000mil, l32=900mil, l33=1100mil
Fig. 2 is that reconfigurable filter controls network diagram;Including main transmission line 1, a series of coupled resonatorses:First Coupled resonators 2, second coupled resonators 3 ... ..., n-th coupled resonators 4, conduit 12, Micropump 10 and Micropump controller 11, all coupled resonatorses distribute network with the liquid metal under metal ground by respective conduit 12 and are connected, and network is by Micropump 10 and Micropump controller 11 control.Conduit 12 is used to connect resonator with distributing the liquid in network.Stored up respectively in distribution network There are liquid metal and deionized water 7.When needing to increase resonance length, the controller of Micropump 10 calculates each coupling above dielectric-slab The liquid metal length that device needs, Micropump 10 is then controlled to adjust.Micropump 10 by distribute network in liquid metal accurately It is pumped into conduit, is finally reached in coupler, then isometric deionized water 7 will be back to diagram left side by conduit Distribute in network, the liquid metal length of resonator changes, and resonance length also accordingly changes.Need to reduce resonance During length, deionized water 7 is pumped into conduit by Micropump 10, and the liquid metal of same volume will back flow into distribution network, liquid metal Length reduces.
L in diagram1Length for resonator printed portions perpendicular to main transmission line, l2For resonator printed portions parallel to The length of main transmission line, l3For resonator adjustable part liquid metal parallel to the length of main transmission line, SNFor resonator and master The spacing of transmission line.
Fig. 3 is preferred embodiment schematic diagram;Wherein, Se1、Se2And Se3It is three coupled resonatorses and main transmission micro-strip respectively The spacing of line;lex1、lex2And lex3It is that three coupled resonatorses fixations are printed on dielectric-slab perpendicular to main transmission line direction respectively Length;ley1、ley2And ley3It is that three coupled resonatorses fixations are printed on dielectric-slab parallel to main transmission line direction respectively Length;lez1、lez2And lez3It is that the liquid metal adjustable part of three coupled resonatorses is longer than the length of fixed printed portions respectively Degree.
Fig. 4 is wave filter simulation result S21Curve;Wherein, l31For the resonance length of resonator under the first state, l32For The resonance length of resonator, l under second of state33For the resonance length of resonator under the third state, from curve can from Arrive, resonance length l31When, resonant frequency 1.0GHz, resonance length l32When, resonant frequency 0.9GHz, resonance length For l33When, resonant frequency 1.1GHz.
Fig. 5 is wave filter simulation result S11Curve;Wherein, l31For the resonance length of resonator under the first state, l32For The resonance length of resonator, l under second of state33For the resonance length of resonator under the third state, can be observed from curve, Frequency point corresponding to the maximum of each state lower curve is consistent with resonant frequency in Fig. 4.
Fig. 4, Fig. 5 are respectively the S drawn with circuit simulating software21And S11Curve map.Wherein S21For insertion loss, S11For Return loss.By S21Image understands that resonator central frequency is 1.0GHz, with a width of 20MHz, meets design requirement.From S21It is bent Line, which can be seen that filter centre frequency, can realize adjustable from 0.9GHz to 1.1GHz, l3During increase, centre frequency is big to change Direction movement, but S parameter curve shape substantially remains unchanged, and shows that its characteristic S parameter under new centre frequency is bent Wire shaped can also remain unchanged substantially.
A kind of reconfigurable filter based on liquid metal of the present invention, the wave filter can be used as in communication system Important radio frequency front-end unit use, but realize wider BREATHABLE BANDWIDTH and relatively low insertion loss, processing and manufacturing is simple, control System is convenient, can be applied to mobile base station and mobile terminal, realize effective suppression to interference signal.

Claims (10)

  1. A kind of 1. reconfigurable filter based on liquid metal, it is characterised in that:Including one section of main transmission line (1), a series of couplings Close resonator, conduit (12), Micropump (10) and Micropump controller (11);The main microwave transmission line that is transmitted as can be microstrip line, band The structures such as shape line, main transmission line are distributed on dielectric-slab (13), below dielectric-slab (13) with having metal;The one of main transmission line Side or both sides are distributed with based on being electrically coupled or magnetic-coupled resonator, and the resonance length of the resonator is made up of two parts superposition, A part is that fixation is printed on dielectric-slab (13), and a part is made up of the liquid metal in conduit (12);Liquid metal portion The position above section divided in ground hole (5) is a part for resonator, and the part below ground hole (5) position is with metal It is integral, does not influence resonant frequency;The distance between liquid metal tuning part and main transmission line and the resonator portion of printing Divide the distance between main transmission line different.
  2. 2. the reconfigurable filter according to claim 1 based on liquid metal, it is characterised in that:Described liquid metal Reconfigurable filter in, one end of resonator is grounded by ground via, and the aperture that conduit (12) passes is reserved in ground via.
  3. 3. the reconfigurable filter according to claim 1 based on liquid metal, it is characterised in that:Described liquid metal Reconfigurable filter in, the liquid metal restructural part of each resonator is unified to be controlled by a Micropump, if necessary to right Each resonator length adjustment amount does and individually designed can realized by conduit diameter at control node.
  4. 4. the reconfigurable filter according to claim 1 based on liquid metal, it is characterised in that:Described liquid metal Reconfigurable filter in, the working frequency of resonator is determined by resonator length, and the minimum resonance length of resonator is l1+l2, As partial-length l of the liquid metal above dielectric-slab3It is longer than l2When, the resonance length of resonator is l1+l3
  5. 5. the reconfigurable filter according to claim 1 based on liquid metal, it is characterised in that:Described liquid metal Reconfigurable filter in, the working frequency of resonator can be adjusted, operating center frequency by resonator resonance length Determining, the adjustable frequency scope of resonator is decided by parameters such as resistance band, stopband edge return wave loss parameter rates of change, when When requiring relatively low to filter stop bend or band-pass behavior, adjustable frequency scope is wide, will to filter stop bend or band-pass behavior When asking of a relatively high, adjustable frequency narrow range.
  6. 6. the reconfigurable filter according to claim 1 based on liquid metal, it is characterised in that:Described liquid metal Reconfigurable filter in, part is formed by metal, metal is selected from:Aluminium, iron, tin, copper, silver, gold, platinum, and above-mentioned metal Alloy;Media fraction can be the dielectric materials such as polytetrafluoroethylene (PTFE), FR4;Liquid metal conduit can be polytetrafluoroethylene (PTFE), modeling The materials such as material, rubber.
  7. 7. the reconfigurable filter according to claim 1 based on liquid metal, it is characterised in that:Described liquid metal Reconfigurable filter in, with deionized water and liquid metal, in the catheter, deionized water makes as caused by Micropump for filling jointly Pressure can accurately be delivered to liquid metal so as to realize the accurate control of liquid metal partial-length;Liquid metal tuning part Distance between the distance between main transmission line and the resonator parts and main transmission line of printing is different, liquid metal tuning part When the distance between main transmission line exceedes 2 times of distance between the resonator parts and main transmission line of printing, liquid metal tuning Coupling between part and main transmission line can be ignored;The distance between liquid metal tuning part and main transmission line are used to control liquid Stiffness of coupling between state metal tuning part and main transmission line, by adjusting between liquid metal tuning part and main transmission line Distance can help the return loss plot of whole bandstop filter relatively stable during tuning.
  8. 8. the reconfigurable filter according to claim 1 based on liquid metal, it is characterised in that:Described liquid metal Reconfigurable filter in, with deionized water and liquid metal, in the catheter, deionized water makes as caused by Micropump for filling jointly Pressure can accurately be delivered to liquid metal so as to realize the accurate control of liquid metal partial-length.
  9. 9. the reconfigurable filter according to claim 1 based on liquid metal, it is characterised in that:Described liquid metal Reconfigurable filter in, have the driver element that Micropump is main as reconfigurable filter, Micropump is controlled by Micropump controller, can Realize that there is resonant frequency certain frequency change or filter stop bend or passband waveform to have by being programmed to Micropump controller There is certain flexibility.
  10. 10. the reconfigurable filter according to claim 1 based on liquid metal, it is characterised in that:Described liquid gold In the reconfigurable filter of category, the scheme of regulation is convenient for ground connection resonator to be used for bandpass filtering by the quasi resonant oscillator Device, such as the resonator element of combed filter device.
CN201710699532.2A 2017-08-16 2017-08-16 Reconfigurable filter based on liquid metal Active CN107706487B (en)

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CN110034363A (en) * 2019-04-04 2019-07-19 电子科技大学 A kind of microwave electricity tune bandstop filter based on open-end microstrip line construction
CN110911786A (en) * 2019-11-28 2020-03-24 电子科技大学 Reconfigurable high-rejection dual-band-stop filter
CN111106433A (en) * 2018-10-29 2020-05-05 中兴通讯股份有限公司 Frequency reconfigurable antenna, control method and communication device
CN113054416A (en) * 2021-04-02 2021-06-29 西安电子科技大学 Liquid metal reconfigurable antenna feed circuit

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Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111106433A (en) * 2018-10-29 2020-05-05 中兴通讯股份有限公司 Frequency reconfigurable antenna, control method and communication device
CN110034363A (en) * 2019-04-04 2019-07-19 电子科技大学 A kind of microwave electricity tune bandstop filter based on open-end microstrip line construction
CN110034363B (en) * 2019-04-04 2021-01-15 电子科技大学 Microwave electrically tunable band-stop filter based on terminal open-circuit microstrip line structure
CN110911786A (en) * 2019-11-28 2020-03-24 电子科技大学 Reconfigurable high-rejection dual-band-stop filter
CN110911786B (en) * 2019-11-28 2021-06-15 电子科技大学 Reconfigurable high-rejection dual-band-stop filter
CN113054416A (en) * 2021-04-02 2021-06-29 西安电子科技大学 Liquid metal reconfigurable antenna feed circuit
CN113054416B (en) * 2021-04-02 2022-12-09 西安电子科技大学 Liquid metal reconfigurable antenna feed circuit

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