CN109450504A - Demodulation method based on concentric circles uniform circular array antenna vortex electromagnetic wave - Google Patents
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
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- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
- H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
- H04B7/0413—MIMO systems
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- H04B7/046—Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting taking physical layer constraints into account
- H04B7/0469—Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting taking physical layer constraints into account taking special antenna structures, e.g. cross polarized antennas into account
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Abstract
Demodulation method disclosed by the invention based on concentric circles uniform circular array antenna vortex electromagnetic wave, is related to wireless communication technique field, by calculating hmn,l, then utilize hmn,lMode decomposition is carried out to the vortex electromagnetic wave signal that receiving end receives, finally restore the electromagnetic wave signal of transmitting, in the case where emitting UCA and receiving UCA alignment, realize and multi-modal vortex electromagnetic wave decomposed and demodulated, solve the problems, such as it is of the existing technology can not using high mode vortex electromagnetic wave realize high capacity vortex electromagnetic wave wirelessly communicate.
Description
Technical field
The present invention relates to wireless communication technique fields, and in particular to one kind is vortexed electric based on concentric circles uniform circular array antenna
The demodulation method of magnetic wave.
Background technique
Due to universal and related Data Services technology the rapid development of mobile intelligent terminal, promote wireless traffic demand anxious
Speed increases.But since radio spectrum resources have finiteness, exclusiveness and v ulnerability, significantly limit wireless communication
The development of technology proposes a variety of multiplexing technologies such as time division multiple acess, CDMA, orthogonal frequency division multiplexing successively thus to improve frequency
Compose utilization rate.However, the technology of traditional wireless communication technology such as orthogonal frequency division multiplexing and latest developments, such as the synchronic full duplex of frequency
It all cannot achieve the capacity requirement of wireless communication with nonopiate multiplexing.
Electromagnetic wave with continuous helical phase front structure is known as vortex electromagnetic wave, is driven by orbital angular momentum.Whirlpool
There are certain mathematical logic relationships between rotation electromagnetic wave Wave-front phase and orbital angular momentum, and field strength distribution shows one kind and has
Not in the hollow structure of conventional planar electromagnetic wave.In vortex EM theory, the topological charge of orbital angular momentum is known as mode.It is more
The different modalities vortex electromagnetic wave that a orbital angular momentum drives simultaneously is mutually orthogonal about azimuth, so that multi-modal vortex electromagnetism
Wave can share same channel, provide possibility further significantly to promote the performance of wireless communication system.Specifically, will
The new dimension of modulates information that the mode of vortex electromagnetic wave provides is combined with modulation systems such as traditional amplitude, phases can form solely
Vertical three-dimensional modulation provides technical support for wireless communication vast capacity transmission, for the lance of the frequency spectrum resource anxiety to become increasingly conspicuous
Shield provides a solution that is completely new and being rich in potentiality.
In order to realize high capacity wireless communication, need to emit simultaneously multi-modal vortex electromagnetic wave.Uniform rings array antenna
(Uniform circular array antenna, UCA) can flexibly emit the vortex electromagnetic wave wave with different modalities
Beam.However in vortex electromagnetic communication, the vortex electromagnetic wave of not all mode may serve to realize that large capacity is wireless
Communications.The wave beam of high modal trajectory angular momentum is dispersion in free space, and can undergo serious decaying.Cause
This, for high mode, the noise received is relatively low, so that capacity seriously reduces.
Summary of the invention
To solve the deficiencies in the prior art, the embodiment of the invention provides one kind to be based on concentric circles uniform circular array antenna whirlpool
Revolve electromagnetic wave demodulation method, with solve it is of the existing technology can not using high mode vortex electromagnetic wave realize high capacity be vortexed
The problem of electromagnetic wave wirelessly communicates.
Method includes the following steps:
Step1, h is solvedmn,l.Include:
According to formulaOn n-th of UCA for calculating transmitting terminal
The distance s of v-th array element of u-th of the array element on m-th of UCA for projecting to receiving end of receiving plane, wherein rnFor transmitting
The radius of circumference, R where n-th of UCA at endmFor the radius of circumference where m-th of UCA of receiving end, φuFor each of transmitting terminal
The basic angle of a UCA andWherein, 1≤u≤U, U are the bay number on transmitting terminal on each UCA；δ is
Each UCA of transmitting terminal it is corresponding rotation angle minimum interval andN is the number of UCA on transmitting terminal, ψvTo connect
The basic angle of each UCA of receiving end andWherein 1≤v≤V, α are the corresponding rotation of each UCA of receiving end
The minimum interval of angle andM is the number of UCA on receiving end, and V is the bay on receiving end on each UCA
Number；
According to formulaU-th of array element on transmitting terminal on n-th of UCA is obtained to the of receiving end
The channel gain of upper v-th of the array element of m UCAWherein, λ is vortex electromagnetic wave
Wavelength, β is constant, and d is the distance between transmitting terminal and receiving end；
According to formula
?Wherein, rm,v
After the sampling of receiving end, the vortex electromagnetic wave signal that v-th of array element on m-th of UCA of receiving end receives,For when hair
When penetrating end transmission l mode signals, the channel of v-th of array element on n-th of UCA to m-th of UCA of receiving end of transmitting terminal increases
Benefit；
According to
?
Wherein,τ is independent variable；
According to formulaIt obtainsWherein,The l mode that transmitting terminal is sent for receiving end
Before signal sampling, the channel gain of v-th of array element on m-th of UCA of n-th of UCA to receiving end；
Step2, h is utilizedmn,l, mode decomposition is carried out to the vortex electromagnetic wave signal that receiving end receives, comprising:
According to formulaIt obtainsWherein, ym,vFor receiving end
The signal that v-th of array received on m-th of UCA arrives,The l arrived for v-th of array received on the UCA of m-th of receiving end0
The signal of mode；
According to formula
It obtains
Electromagnetic wave signal after being decomposed；
Step3, according to the electromagnetic wave signal after decomposition, the electromagnetic wave signal that is emitted
Produced by demodulation method provided in an embodiment of the present invention based on concentric circles uniform circular array antenna vortex electromagnetic wave
Have the beneficial effect that:
In the case where emitting UCA and receiving UCA alignment, realizes and multi-modal vortex electromagnetic wave is decomposed and gone back
Original, solve it is of the existing technology can not using high mode vortex electromagnetic wave realize high capacity vortex electromagnetic wave wireless communication
Problem.
Detailed description of the invention
Fig. 1 is the demodulation method provided in an embodiment of the present invention based on concentric circles uniform circular array antenna vortex electromagnetic wave
Application scenarios schematic diagram；
Fig. 2 is the demodulation method provided in an embodiment of the present invention based on concentric circles uniform circular array antenna vortex electromagnetic wave
Flow diagram；
Fig. 3 is that the demodulation method provided in an embodiment of the present invention based on concentric circles uniform circular array antenna vortex electromagnetic wave exists
When there is no common mode interference, the capacity comparison schematic diagram of single UCA and multiple UCA；
Fig. 4 is that the demodulation method provided in an embodiment of the present invention based on concentric circles uniform circular array antenna vortex electromagnetic wave exists
When having common mode interference, the capacity comparison schematic diagram of single UCA and multiple UCA；
Fig. 5 is that the demodulation method provided in an embodiment of the present invention based on concentric circles uniform circular array antenna vortex electromagnetic wave exists
In the case where there is no common mode interference, when the quantity difference of UCA, the capacity comparison schematic diagram of multiple UCA.
Fig. 6 is that the demodulation method provided in an embodiment of the present invention based on concentric circles uniform circular array antenna vortex electromagnetic wave exists
In the case where having common mode interference, when concentric circles quantity difference, the capacity comparison schematic diagram of concentric circles UCA.
Specific embodiment
Specific introduce is made to the present invention below in conjunction with the drawings and specific embodiments.
Referring to Fig.1, transmitting terminal and receiving end alignment, the distance of the two are d.Wherein, transmitting terminal has N number of UCA, each UCA
On have U array element, have M UCA in receiving end, have V array element on each UCA, wherein each UCA on transmitting terminal and receiving end
Center location it is identical, but radius is different, 1 < U, 1 < V.
The basic angle φ of each UCA of transmitting terminaluAre as follows:Wherein 1≤u≤U；The UCA of transmitting terminal is corresponding
Rotation angle minimum interval δ are as follows:
The basic angle ψ of each UCA of receiving endvAre as follows:Wherein 1≤v≤V；The UCA of receiving end is corresponding
Rotate the minimum interval α of angle are as follows:
Referring to Fig. 2, the demodulation side provided in an embodiment of the present invention based on concentric circles uniform circular array antenna vortex electromagnetic wave
The step of method, is as follows:
Step1, h is calculatedmn,l, comprising:
Step 11: u-th of array element on n-th of UCA of transmitting terminal is calculated in project to receiving end of receiving plane
The distance s of v-th of array element on m UCA:
Wherein rnFor the radius of circumference where n-th of UCA of transmitting terminal, RmFor circumference where m-th of UCA of receiving end
Radius；
Step 12: v-th in u-th of the array element to m-th of UCA of receiving end on n-th of UCA of transmitting terminal is calculated
The distance of array element
Step 13: according to v-th on m-th of UCA of u-th of array element on n-th of UCA of transmitting terminal to receiving end
The channel gain of array element
Wherein, λ is the wavelength of vortex electromagnetic wave, and β is constant, such as decaying and phase rotation etc. as caused by antenna etc.；Again
BecauseSo making in above formula denominatorIt is approximately d, while brings formula (2) into formula (3),
In turnIt can be indicated again with formula (4):
Step 14: after being sampled due to receiving end to vortex electromagnetic wave signal, what v-th of array received of m-th of UCA arrived
Signal rm,vAre as follows:
So when transmitting terminal sends l mode signals, on n-th of UCA to m-th of UCA of receiving end of transmitting terminal the
The channel gain of v array elementIt can indicate are as follows:
In order to facilitate expression, enableAnd because
SoIt can be approximately:
In formula (8),
Step 15: because before sampling, when transmitting terminal sends l mode signals, n-th of UCA of transmitting terminal to receiving end
M-th of UCA on channel gainAre as follows:
After sampling,BecomeSo when not havingThis when, obtain hmn,lAre as follows:
It can be concluded that h from formula (10)mn,lIt is unrelated with u, v.
Step2, h is utilizedmn,l, mode decomposition is carried out to the vortex electromagnetic wave signal that receiving end receives, comprising:
Step21: willWithIt is multiplied, obtains m-th
The l that v-th of array received on UCA arrives0The signal of modeAre as follows:
Wherein, ym,vFor
The signal that v-th of array received on the UCA of m-th of receiving end arrives；
Step22: because of hmn,lIt is independent with v, so the l that m-th of UCA in receiving end is received0The signal of mode isAre as follows:
, whereinFor in l0Under mode, noise that m-th of UCA of receiving end is received.It is available according to above formula
The decomposed signal of estimation；
Step23: according to formula (11), the signal phasor received under l mode and noise vector are obtained:With
Step3, according to the electromagnetic wave signal after decomposition, the electromagnetic wave signal that is emitted, comprising:
Step31: when the distance of two adjacent UCA is greater than 0.5 λ, using squeeze theorem scheme, pass through following formula
The transmission signal phasor estimatedThat is:
In formula (12), ()HIndicate conjugate operation, the channel gain matrix H under l modelAre as follows:
Signal to Noise Ratio (SNR) under available l mode simultaneouslylAre as follows:
Wherein,Indicate the noise w received when each UCA of transmitting terminal sends l mode signalslVariance.
Step32: when the distance of two adjacent UCA is less than 0.5 λ, come using common mode force zero successive interference cancellation algorithm
Restore transmitting signal.The algorithm will emit signal according to Signal to Interference plus Noise Ratio and successively detect by sequence from big to small, until restoring institute
Some signals.When mode is l, specific step is as follows for the algorithm:
When Step321i=1, calculateThis season y1=yl, wherein y is one and ylSize
Identical vector；
Step322 executes step III to VIII, otherwise terminates as i≤N；
Step323 is enabledParameterIndicate i-th of matrix when mode is l,It indicatesThe l row of matrix, and use kiIt indicatesThe label of the row of two Norm minimums of the row vector of matrix；
Step324 obtains kthiA estimation signalAre as follows:
Step325 will be obtainedQuantified, obtains kthiA estimation signalAre as follows:
Wherein, Q () is quantization operation；
Step326 calculates yi+1A signal:
Wherein,Representing matrix HlKthiColumn；
Step327 calculating parameterAre as follows:
Wherein,For broad sense inverse operation,It indicates matrix HlColumn element from k1To kiThe square obtained after zero
Battle array；
Step328 enables i=i+1, executes step II, until all signals restore.
Kth under available l mode simultaneouslyiThe Signal to Noise Ratio (SNR) of a signali,lAre as follows:
Wherein κl={ k1,k2..., ki, it indicates to emit signal when mode is lCorresponding estimation
The ordinal number set of signal.
Referring to Fig. 3 and Fig. 4, in the two figures, receiving end is identical with the number of the UCA on transmitting terminal, and each UCA
On number of arrays it is also identical, in the presence of there is no common mode interference and common mode interference, drawn, can be seen by Matlab software
Out in the identical situation of signal-to-noise ratio, when the number of arrays of single UCA is identical with total number of arrays of multiple UCA, the former capacity
Less than the capacity of the latter, so as to conclude that compared with single UCA, it is logical that vortex electromagnetic wave can be increased using multiple UCA
Capacity in letter.
Referring to figure 5 and figure 6, it is drawn by Matlab software, it can be seen that in the identical situation of signal-to-noise ratio, when total
When number of arrays remains unchanged, the capacity of multiple UCA increases with the increase of concentric circles number.
Demodulation method provided in an embodiment of the present invention based on concentric circles uniform circular array antenna vortex electromagnetic wave, passes through meter
Calculate hmn,l, then utilize hmn,lMode decomposition is carried out to the vortex electromagnetic wave signal that receiving end receives, finally restores electromagnetic wave letter
Number, it in the case where emitting UCA and receiving UCA alignment, realizes and multi-modal vortex electromagnetic wave is decomposed and restored, solve
It is of the existing technology to realize the problem of high capacity vortex electromagnetic wave wirelessly communicates using high mode vortex electromagnetic wave.
In the above-described embodiments, it all emphasizes particularly on different fields to the description of each embodiment, there is no the portion being described in detail in some embodiment
Point, reference can be made to the related descriptions of other embodiments.
It is understood that the correlated characteristic in the above method and device can be referred to mutually.In addition, in above-described embodiment
" first ", " second " etc. be and not represent the superiority and inferiority of each embodiment for distinguishing each embodiment.
It is apparent to those skilled in the art that for convenience and simplicity of description, the system of foregoing description,
The specific work process of device and unit, can refer to corresponding processes in the foregoing method embodiment, and details are not described herein.
Algorithm and display are not inherently related to any particular computer, virtual system, or other device provided herein.
Various general-purpose systems can also be used together with teachings based herein.As described above, it constructs required by this kind of system
Structure be obvious.In addition, the present invention is also not directed to any particular programming language.It should be understood that can use various
Programming language realizes summary of the invention described herein, and the description done above to language-specific is to disclose this hair
Bright preferred forms.
In addition, memory may include the non-volatile memory in computer-readable medium, random access memory
(RAM) and/or the forms such as Nonvolatile memory, such as read-only memory (ROM) or flash memory (flash RAM), memory includes extremely
A few storage chip.
It should be understood by those skilled in the art that, embodiments herein can provide as method, system or computer program
Product.Therefore, complete hardware embodiment, complete software embodiment or reality combining software and hardware aspects can be used in the application
Apply the form of example.Moreover, it wherein includes the computer of computer usable program code that the application, which can be used in one or more,
The computer program implemented in usable storage medium (including but not limited to magnetic disk storage, CD-ROM, optical memory etc.) produces
The form of product.
The application is referring to method, the process of equipment (system) and computer program product according to the embodiment of the present application
Figure and/or block diagram describe.It should be understood that every one stream in flowchart and/or the block diagram can be realized by computer program instructions
The combination of process and/or box in journey and/or box and flowchart and/or the block diagram.It can provide these computer programs
Instruct the processor of general purpose computer, special purpose computer, Embedded Processor or other programmable data processing devices to produce
A raw machine, so that being generated by the instruction that computer or the processor of other programmable data processing devices execute for real
The device for the function of being specified in present one or more flows of the flowchart and/or one or more blocks of the block diagram.
These computer program instructions, which may also be stored in, is able to guide computer or other programmable data processing devices with spy
Determine in the computer-readable memory that mode works, so that it includes referring to that instruction stored in the computer readable memory, which generates,
Enable the manufacture of device, the command device realize in one box of one or more flows of the flowchart and/or block diagram or
The function of being specified in multiple boxes.
These computer program instructions also can be loaded onto a computer or other programmable data processing device, so that counting
Series of operation steps are executed on calculation machine or other programmable devices to generate computer implemented processing, thus in computer or
The instruction executed on other programmable devices is provided for realizing in one or more flows of the flowchart and/or block diagram one
The step of function of being specified in a box or multiple boxes.
In a typical configuration, calculating equipment includes one or more processors (CPU), input/output interface, net
Network interface and memory.
Memory may include the non-volatile memory in computer-readable medium, random access memory (RAM) and/
Or the forms such as Nonvolatile memory, such as read-only memory (ROM) or flash memory (flash RAM).Memory is computer-readable Jie
The example of matter.
Computer-readable medium includes permanent and non-permanent, removable and non-removable media can be by any method
Or technology come realize information store.Information can be computer readable instructions, data structure, the module of program or other data.
The example of the storage medium of computer includes, but are not limited to phase change memory (PRAM), static random access memory (SRAM), moves
State random access memory (DRAM), other kinds of random access memory (RAM), read-only memory (ROM), electric erasable
Programmable read only memory (EEPROM), flash memory or other memory techniques, read-only disc read only memory (CD-ROM) (CD-ROM),
Digital versatile disc (DVD) or other optical storage, magnetic cassettes, tape magnetic disk storage or other magnetic storage devices
Or any other non-transmission medium, can be used for storage can be accessed by a computing device information.As defined in this article, it calculates
Machine readable medium does not include temporary computer readable media (transitory media), such as the data-signal and carrier wave of modulation.
It should also be noted that, the terms "include", "comprise" or its any other variant are intended to nonexcludability
It include so that the process, method, commodity or the equipment that include a series of elements not only include those elements, but also to wrap
Include other elements that are not explicitly listed, or further include for this process, method, commodity or equipment intrinsic want
Element.In the absence of more restrictions, the element limited by sentence "including a ...", it is not excluded that including element
There is also other identical elements in process, method, commodity or equipment.
It will be understood by those skilled in the art that embodiments herein can provide as method, system or computer program product.
Therefore, complete hardware embodiment, complete software embodiment or embodiment combining software and hardware aspects can be used in the application
Form.It is deposited moreover, the application can be used to can be used in the computer that one or more wherein includes computer usable program code
The shape for the computer program product implemented on storage media (including but not limited to magnetic disk storage, CD-ROM, optical memory etc.)
Formula.
The above is only embodiments herein, are not intended to limit this application.To those skilled in the art,
Various changes and changes are possible in this application.It is all within the spirit and principles of the present application made by any modification, equivalent replacement,
Improve etc., it should be included within the scope of the claims of this application.
Claims (1)
1. a kind of demodulation method based on concentric circles uniform circular array antenna vortex electromagnetic wave characterized by comprising
Step1, h is solvedmn,l, comprising:
According to formulaCalculate u-th on n-th of UCA of transmitting terminal
The distance s of v-th array element of the array element on m-th of UCA for projecting to receiving end of receiving plane, wherein rnFor transmitting terminal
The radius of circumference, R where n-th of UCAmFor the radius of circumference where m-th of UCA of receiving end, φuFor each UCA of transmitting terminal
Basic angle andWherein, 1≤u≤U, U are the bay number on transmitting terminal on each UCA；δ is transmitting
End each UCA it is corresponding rotation angle minimum interval andN is the number of UCA on transmitting terminal, ψvFor receiving end
Each UCA basic angle andWherein 1≤v≤V, α are the corresponding rotation angle of each UCA of receiving end
Minimum interval andM is the number of UCA on receiving end, and V is the bay number on receiving end on each UCA；
According to formulaU-th of array element on transmitting terminal on n-th of UCA is obtained to m-th of receiving end
The channel gain of upper v-th of the array element of UCA
Wherein, λ is the wavelength of vortex electromagnetic wave, and β is constant, and d is the distance between transmitting terminal and receiving end；
According to formula
It obtains
,
Wherein, rm,vAfter the sampling of receiving end, the vortex electromagnetic wave that v-th of array received on m-th of UCA of receiving end arrives is believed
Number,For when transmitting terminal sends l mode signals, v-th on n-th of UCA to m-th of UCA of receiving end of transmitting terminal
The channel gain of array element；
According to ?Its
In, θ=ψv- n δ+m α,τ is independent variable；
According to formulaIt obtainsWherein,The l mode that transmitting terminal is sent for receiving end
Before signal sampling, the channel gain of v-th of array element on m-th of UCA of n-th of UCA to receiving end；
Step2, h is utilizedmn,l, mode decomposition is carried out to the vortex electromagnetic wave signal that receiving end receives, comprising:
According to formulaIt obtainsWherein, ym,vFor receiving end
The signal that v-th of array received on m-th of UCA arrives,The l arrived for v-th of array received on the UCA of m-th of receiving end0
The signal of mode；
According to formula
It obtains
Electromagnetic wave signal after being decomposed；
Step3, according to the electromagnetic wave signal after decomposition, the electromagnetic wave signal that is emitted.
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