CN109446477A - A kind of any sampling method of reseptance of multi-modal orbital angular momentum vortex wave - Google Patents
A kind of any sampling method of reseptance of multi-modal orbital angular momentum vortex wave Download PDFInfo
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- CN109446477A CN109446477A CN201811246293.6A CN201811246293A CN109446477A CN 109446477 A CN109446477 A CN 109446477A CN 201811246293 A CN201811246293 A CN 201811246293A CN 109446477 A CN109446477 A CN 109446477A
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- G—PHYSICS
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- 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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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q21/00—Antenna arrays or systems
- H01Q21/06—Arrays of individually energised antenna units similarly polarised and spaced apart
- H01Q21/061—Two dimensional planar arrays
Abstract
The invention proposes a kind of any sampling method of reseptances of multi-modal orbital angular momentum vortex wave, for in space environment, there are in the case where restriction of obstacle, while guaranteeing that remote transmission receiving aperture is smaller and realizes that the vortex wave of continuous rank mode value receives, the accuracy of multi-modal orbital angular momentum vortex wave modal information is improved.Realize step are as follows: determine the azimuth of each antenna element;Construct the field expression formula of multi-modal orbital angular momentum vortex waveThe energy amplitude vector c of M mode vortex wave is constructed according to sampling thheorem and N number of antenna element samples the coefficient matrices A between received multi-modal vortex wave signal vector b;It samples reception device and obtains multi-modal vortex wave signal vector b;Obtain i-th of mode vortex wave energy discharge amplitude F in multi-modal orbital angular momentum vortex waveiValue.The present invention realizes the flexible reception of the vortex wave to continuous rank mode value, improves the utilization rate of orbital angular momentum.
Description
Technical field
The invention belongs to wireless communication technology fields, are related to a kind of method of reseptance of orbital angular momentum vortex wave, especially relate to
And it is a kind of for receive environmental restrictions multi-modal orbital angular momentum vortex wave any sampling method of reseptance, can be used for radio frequency and
Microwave band wireless communication system.
Background technique
With the extensive use of wireless communication technique, channel congested problem becomes the Research Challenges of technology at this stage, track
The characteristics of mode of Angular Momentum Vortex wave (OAM) is that information transmission belt carrys out a kind of emerging multiplex mode, this is expansion channel capacity
Provide possibility.Until 2007, the B.Thide professor team of Sweden successfully generated track angle by the method for array antenna
Momentum vortex wave, entrained by the field expression formula of vortex waveItem (wherein l indicates mode number) makes its transmission characteristic spiral
The equiphase surface of distribution, this is for the first time realization of the vortex wave in Radio-Frequency Wireless Communication field, and thus vortex wave is in wireless communications
Application gradually become current research hotspot.Studies have shown that the mode value of orbital angular momentum vortex wave beam determines phase
Specific distribution.And there is orthogonality between the orbital angular momentum vortex wave of different modalities, it can transmit and be easy to the multiple only of demodulation
Vertical channel, and theoretically there is no limit the mode multiplexing characteristics of multi-modal vortex wave are wireless to the mode quantity of vortex wave beam
Development communication technologies bring a possibility that unlimited.
In order to realize the communications applications of vortex wave beam, the reception of orbital angular momentum and mode demodulation method are vortexed as electromagnetism
One of emphasis of technology.Due to vortex wave self transmission characteristic, beam center with amplitude be zero dark space, and dark space radius with
Transmission range becomes remote and increases.Therefore, when transmission range farther out when, it is also desirable to larger receiving aperture effectively realizes Modal Solution
Multiplexing, existing non-sampled method of reseptance such as: holographic plate (HP), spiral phase plate (SPP), reflect first converter technique be very difficult to
It realizes.In terms of wireless telecommunications, antenna samples method receives more flexible compared to conventional method.2011, pass through full aperture
Uniform sampling Receiving successfully realizes that 2.414GHz vortex electromagnetic communication is tested, and experiment is by placing two at a distance of 4.5 meters
Yagi aerial carries out the transmitting and reception of vortex wave beam.Full aperture uniform sampling Receiving can receive continuous rank mode value and be vortexed
Wave, but in Distance Transmission farther out, full aperture size is too big and is unsuitable for practical application.In order in remote transmission conditions
Lower reception, part aperture uniform sampling Receiving were suggested in 2016.This method requires receiving antenna unit to be evenly distributed on
The fan-shaped region of 1/P (P is integer) reduces the receiving aperture of antenna when vortex wave transmits at a distance, and part aperture samples
Method of reseptance requires received two vortexs wave mode value l to meet certain intervals, i.e., the vortex wave beam of continuous low-order mode state value without
Method communication, it reduce the utilization rates of orbital angular momentum.The receiving antenna of full aperture and part aperture sampling method of reseptance is uniform
Distribution may be influenced by the barrier in space, this can impact received vortex wave energy discharge amplitude and cause multi-modal
Orbital angular momentum vortex wave modal information inaccuracy.
Summary of the invention
It is an object of the invention to overcome defect existing for existing inventive technique, a kind of multi-modal orbital angular momentum is proposed
Any sampling method of reseptance of vortex wave, for, there are in the case where restriction of obstacle, guaranteeing remote pass in space environment
While defeated receiving aperture is smaller and realizes that the vortex wave of continuous rank mode value receives, multi-modal orbital angular momentum vortex wave is improved
The accuracy of modal information.
Technical thought of the invention is: first according to the mode number field relationship of direction angular domain and vortex electromagnetic wave, deriving
The field expression formula of multi-modal vortex wave combines sampling thheorem later and samples each mode vortex of distribution building of receiving antenna unit
The energy amplitude and antenna element of wave sample the coefficient matrix between received multi-modal vortex wave signal, finally by coefficient square
Battle array receives signal with multi-modal vortex wave and multi-modal vortex wave mode energy amplitude distribution is calculated.
To achieve the above object, the present invention is realized by sampling reception device to multi-modal orbital angular momentum vortex wave beam
Any sampling receives, and the sampling reception device includes the antenna for the N number of antenna element composition being distributed on the annulus that radius is R
Array, N >=M, M are the mode number of multi-modal orbital angular momentum vortex wave to be received, and M >=2, antenna element is to be uniformly distributed
Or uneven distribution, the transmission center of multi-modal orbital angular momentum vortex wave perpendicular through plane where aerial array center,
Realize step are as follows:
(1) azimuth of each antenna element is determined:
(1a) determines the mode set L:L={ l of multi-modal orbital angular momentum vortex wave to be receivedi∈ Z | i=1,
2 ..., M }, and determine according to L the number N of antenna element, wherein liFor the mode value of i-th of single mode vortex wave, Z is integer
Intersection;
(1b) determines the azimuth of N number of antenna element according to the environmental restrictions where aerial arrayWhereinFor the azimuth of k-th of antenna element;
(2) the field expression formula of multi-modal orbital angular momentum vortex wave is constructed
The energy amplitude of i-th of mode vortex wave in multi-modal orbital angular momentum vortex wave is set as Fi, and according to FiAnd mould
State set L constructs the field expression formula of multi-modal orbital angular momentum vortex waveWhereinTo sample receiving antenna
The azimuth of place plane, j are imaginary unit;
(3) the energy amplitude vector c of M mode vortex wave is constructed according to sampling thheorem and the sampling of N number of antenna element receives
Multi-modal vortex wave signal vector b between coefficient matrices A:
(3a) sets the vector of M mode vortex wave energy discharge amplitude composition as c, and k-th of antenna element sampling receives multimode
State vortex wave signal isThe vector of N number of multi-modal vortex wave signal composition is b;
(3b) is according to sampling thheorem, and the azimuth of k-th of the antenna element determined using step (1)With step (2)
The field expression formula of the multi-modal vortex wave of buildingIt obtains k-th of antenna element and samples received multi-modal whirlpool
Revolve wave signalThen N number of antenna element samples the vector expression b of received multi-modal vortex wave signal
Are as follows:
It is translated into matrix form: b=Ac, then the energy amplitude vector c of M mode vortex wave and N number of antenna element
Sample the coefficient matrices A between received multi-modal vortex wave signal vector b are as follows:
(4) sampling reception device obtains multi-modal vortex wave signal vector b:
The multi-modal vortex wave signal that k-th of antenna element in sampling reception device generates emitterInto
Row sampling receives, and the received N number of multi-modal vortex wave signal of N number of antenna element sampling is formed vector b:
Wherein, [] ' representative carries out transposition to vector;
(5) i-th of mode vortex wave energy discharge amplitude F in multi-modal orbital angular momentum vortex wave is obtainediValue:
(5a) samples received multi-modal vortex wave signal vector expression formula b=Ac to N number of antenna element and deforms, and obtains
To M mode vortex wave energy amplitude vector expression formula c=A-1b;
The multi-modal vortex wave signal vector b that the coefficient matrices A and step (4) that (5b) is constructed according to step (3) obtain, meter
Calculate M mode vortex wave energy amplitude vector c=[F1 F2 … FM]′。
Compared with prior art, the present invention having the advantage that
The present invention in conjunction with sampling thheorem, is obtained by multi-modal vortex electromagnetic wave direction angular domain and mode number field relationship
Each mode vortex wave energy discharge amplitude to be received and sampling receive the coefficient matrix between multi-modal vortex wave signal, are by changing
Receiving antenna cell distribution azimuth and vortex wave mode set to be received in matrix number are guaranteeing remote transmission receiving aperture
While vortex wave that is smaller and realizing continuous rank mode value receives, solving space environment, there are in the case where restriction of obstacle
Receive the accuracy of multi-modal orbital angular momentum vortex wave modal information.The present invention reduces the reception of vortex electromagnetic wave far zone field
Bore realizes the flexible reception to the multi-modal vortex wave of continuous rank, effectively improves the utilization rate to orbital angular momentum.
Detailed description of the invention
Fig. 1 is the structural schematic diagram for the sampling reception device that the present invention uses;
Fig. 2 is implementation flow chart of the invention;
Fig. 3 is the schematic diagram of four kinds of environmental limits down-sampling reception schemes in the embodiment of the present invention;
Fig. 4 is the HFSS analogous diagram of transmitting and receiving device in the embodiment of the present invention;
Fig. 5 is the mode energy amplitude emulation knot of the lower four kinds of mode set of four kinds of environmental limits in the embodiment of the present invention
Fruit figure.
Specific embodiment
Below in conjunction with the drawings and specific embodiments, invention is further described in detail.
Referring to Fig.1, receiving antenna array is 5 antenna element groups by being distributed on the annulus that radius is R=50mm
At, setting four kinds of multi-modal orbital angular momentum vortex waves to be received mode intersection be respectively L=-2, L=1, L=-1,
1 } and L={ -1,1, -2 }, antenna element is distributed asThe transmission center of multi-modal orbital angular momentum vortex wave is vertical
By the center of aerial array, wherein fan-shaped region (1) indicates complete environmental restrictions, and fan-shaped region (2) indicate component environment limit
System cannot place sampling receiving antenna on fan-shaped region (1) and fan-shaped region (2), and sampling can be placed on other regions and is connect
Receive antenna.
Referring to Fig. 2, a kind of any sampling method of reseptance of multi-modal orbital angular momentum vortex wave includes the following steps:
Step 1) determines the azimuth of each antenna element:
Step 1a) have determined that four kinds of mode set L={ l of multi-modal orbital angular momentum vortex wave to be receivedi∈Z|i
=1,2 ..., M }: L=-2, L=1, L={ -1,1 } and L={ -1,1, -2 }, wherein liFor the mould of i-th of single mode vortex wave
State value, and determine that the value of the number N=5, M of antenna element are respectively 1,1,2,3 according to L.
Step 1b) barrier is had in space according to aerial array and the restrictive condition of antenna element can not be placed,
It is proposed any sampling reception scheme under four kinds of environmental limits as shown in Figure 3.Wherein Fig. 3 (a) is one schematic diagram of scheme, is adopted
Sample receiving antenna is evenly distributed in entire aperture plane, identical as existing full aperture sampling reception scheme.Fig. 3 (b) is scheme
Two schematic diagrames, environmental restrictions are the limitation of fan-shaped region (2) component environment, sample receiving antenna Arbitrary distribution in fan-shaped region (2)
Sampling reception is carried out with exterior domain.Fig. 3 (c) is three schematic diagram of scheme, and environmental restrictions are fan-shaped region (1) complete environmental restrictions,
The region that sampling receiving antenna is evenly distributed on other than fan-shaped region (1) carries out sampling reception, samples with existing part aperture
Reception scheme is identical.Fig. 3 (d) is four schematic diagram of scheme, and environmental restrictions are fan-shaped region (1) environmental restrictions and fan-shaped region completely
(2) component environment limits, and samples area sampling of the receiving antenna Arbitrary distribution other than restricted area and receives.Four kinds of environmental restrictions
Condition is expressed as I, II, III and IV, wherein sampling receiving antenna unit azimuthal distributionAs shown in table 1;
Table 1 (unit: degree)
Step 2) constructs the field expression formula of multi-modal orbital angular momentum vortex wave
The energy amplitude of i-th of mode vortex wave in multi-modal orbital angular momentum vortex wave is set as Fi, and according to FiAnd mould
State set L constructs the field expression formula of multi-modal orbital angular momentum vortex waveWhereinDay is received for sampling
The azimuth of plane where line, j is imaginary unit;
Step 3) constructs the energy amplitude vector c of M mode vortex wave according to sampling thheorem and 5 antenna element samplings connect
The coefficient matrices A between multi-modal vortex wave signal vector b received:
Step 3a) vector of M mode vortex wave energy discharge amplitude composition is set as c, the sampling reception of k-th antenna element is more
Mode vortex wave signal isThe vector of 5 multi-modal vortex wave signal compositions is b;
Step 3b) according to sampling thheorem, and the azimuth of k-th of the antenna element determined using step 1With step 2 structure
The field expression formula for the multi-modal vortex wave builtIt obtains k-th of antenna element and samples received multi-modal vortex
Wave signalThen 5 antenna elements sample the vector expression b of received multi-modal vortex wave signal are as follows:
It is translated into matrix form: b=Ac, then the energy amplitude vector c and 5 antenna elements of M mode vortex wave
Sample the coefficient matrices A between received multi-modal vortex wave signal vector b are as follows:
Step 4) samples reception device and obtains multi-modal vortex wave signal vector b:
The multi-modal vortex wave signal that k-th of antenna element in sampling reception device generates emitterInto
Row sampling receives, and 5 antenna elements are sampled received M multi-modal vortex wave signal and form vector b:
Wherein, [] ' representative carries out transposition to vector;
Step 5) obtains i-th of mode vortex wave energy discharge amplitude F in multi-modal orbital angular momentum vortex waveiValue:
Step 5a) 5 received multi-modal vortex wave signal vector expression formula b=Ac of antenna elements sampling are become
Shape obtains M mode vortex wave energy amplitude vector expression formula c=A-1b;
Step 5b) according to the coefficient matrices A of step 3 building and the multi-modal vortex wave signal vector b of step 4 acquisition, meter
Calculate M mode vortex wave energy amplitude vector c=[F1 F2 … FM]′。
Below in conjunction with emulation experiment, technical effect of the invention is illustrated:
1. simulated conditions and content:
Experiment of the invention carries out on HFSS15 software, the HFSS analogous diagram reference of the present embodiment transmitting and receiving device
Fig. 3, wherein Fig. 3 (a) is emitter, generates multi-modal orbital angular momentum vortex wave using eight element array of radius R=50mm,
Fig. 3 (b) is reception device, the transmission range D=200mm of emitter to reception device, receiving antenna and multi-modal vortex wave
Working frequency range is consistent, polarization matches.The lower multi-modal track angle of four kinds of mode set of the above-mentioned four kinds of environmental limits of the Realization of Simulation
Any sampling of momentum vortex wave receives, and simulation result is that reception device samples received multi-modal vortex wave signal vector, warp
It crosses calculating and obtains mode energy amplitude vector.Fig. 5 is the mode energy amplitude of the lower four kinds of mode set of four kinds of environmental limits
Simulation result diagram.
2. analysis of simulation result:
Fig. 5 (a), Fig. 5 (b), Fig. 5 (c) and Fig. 5 (d) be respectively under four kinds of environmental limits mode set be respectively L
=-2, the mode energy amplitude simulation result diagram of L=1, L={ -1,1 } and L={ -1,1, -2 }, wherein four kinds of environmental restrictions items
Part is expressed as I, II, III and IV.Reception result, which is arbitrarily sampled, obviously in figure can be seen that mode value is liVortex wave energy
Discharge amplitude, which is apparently higher than, does not emit vortex wave mode, and consistent with transmitting terminal mode set L, showing can under four kinds of environmental limits
To realize that the orbital angular momentum vortex wave for being combined into L=-2, L=1, L={ -1,1 } and L={ -1,1, -2 } to mode collection is adopted
Sample receives.The inventive method can complete any sampling of multi-modal orbital angular momentum vortex wave under conditions of environmental restrictions
It receives.
Above description is only a specific embodiment of the invention, does not constitute any limitation of the invention, it is clear that for
For one of skill in the art, after having understood the content of present invention and principle, all may in the case of without departing from the present invention,
Various modifications and change in form and details are carried out, but these modifications and variations based on inventive concept are still in the present invention
Claims within.
Claims (2)
1. a kind of any sampling method of reseptance of multi-modal orbital angular momentum vortex wave, which is characterized in that received by sampling
What device was realized, the sampling reception device includes the antenna array for the N number of antenna element composition being distributed on the annulus that radius is R
Column, N >=M, M be multi-modal orbital angular momentum vortex wave to be received mode number, M >=2, antenna element be uniformly distributed or
Uneven distribution, center of the transmission center of multi-modal orbital angular momentum vortex wave perpendicular through plane where aerial array, reality
Existing step are as follows:
(1) azimuth of each antenna element is determined:
(1a) determines the mode set L:L={ l of multi-modal orbital angular momentum vortex wave to be receivedi∈ Z | i=1,2 ..., M },
And the number N of antenna element is determined according to L, wherein liFor the mode value of i-th of single mode vortex wave, Z is integer intersection;
(1b) determines the azimuth of N number of antenna element according to the environmental restrictions where aerial arrayIts
InFor the azimuth of k-th of antenna element;
(2) the field expression formula of multi-modal orbital angular momentum vortex wave is constructed
The energy amplitude of i-th of mode vortex wave in multi-modal orbital angular momentum vortex wave is set as Fi, and according to FiWith mode collection
L is closed, the field expression formula of multi-modal orbital angular momentum vortex wave is constructedWhereinFor where sampling receiving antenna
The azimuth of plane, j are imaginary unit;
(3) energy amplitude vector c and the sampling of N number of antenna element that M mode vortex wave is constructed according to sampling thheorem are received more
Coefficient matrices A between mode vortex wave signal vector b:
(3a) sets the vector of M mode vortex wave energy discharge amplitude composition as c, and k-th of antenna element sampling receives multi-modal whirlpool
Revolving wave signal isThe vector of N number of multi-modal vortex wave signal composition is b;
(3b) is according to sampling thheorem, and the azimuth of k-th of the antenna element determined using step (1)It is constructed with step (2)
Multi-modal vortex wave field expression formulaIt obtains k-th of antenna element and samples received multi-modal vortex wave
SignalThen N number of antenna element samples the vector expression b of received multi-modal vortex wave signal are as follows:
Be translated into matrix form: b=Ac, then the energy amplitude vector c of M mode vortex wave and N number of antenna element sample
Coefficient matrices A between received multi-modal vortex wave signal vector b are as follows:
(4) sampling reception device obtains multi-modal vortex wave signal vector b:
The multi-modal vortex wave signal that k-th of antenna element in sampling reception device generates emitterIt is sampled
It receives, and the received N number of multi-modal vortex wave signal of N number of antenna element sampling is formed into vector b:
Wherein, [] ' representative carries out transposition to vector;
(5) i-th of mode vortex wave energy discharge amplitude F in multi-modal orbital angular momentum vortex wave is obtainediValue:
(5a) samples received multi-modal vortex wave signal vector expression formula b=Ac to N number of antenna element and deforms, and obtains M
A mode vortex wave energy amplitude vector expression formula c=A-1b;
The multi-modal vortex wave signal vector b that the coefficient matrices A and step (4) that (5b) is constructed according to step (3) obtain, calculates M
A mode vortex wave energy amplitude vector c=[F1 F2 … FM]′。
2. any sampling method of reseptance of multi-modal orbital angular momentum vortex wave according to claim 1, which is characterized in that
Environmental restrictions where aerial array described in step (1b), antenna element can not be placed there are barrier by referring in space
Restrictive condition.
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