CN106355245A - Method for integrating array antenna directional images on basis of neural network algorithms - Google Patents

Method for integrating array antenna directional images on basis of neural network algorithms Download PDF

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CN106355245A
CN106355245A CN201610817682.4A CN201610817682A CN106355245A CN 106355245 A CN106355245 A CN 106355245A CN 201610817682 A CN201610817682 A CN 201610817682A CN 106355245 A CN106355245 A CN 106355245A
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CN106355245B (en
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宗华
张赫
刘北佳
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Harbin Institute of Technology
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06NCOMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00Computing arrangements based on biological models
    • G06N3/02Neural networks
    • G06N3/04Architecture, e.g. interconnection topology
    • G06N3/045Combinations of networks
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F18/00Pattern recognition
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    • G06F18/23Clustering techniques
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    • G06F18/2321Non-hierarchical techniques using statistics or function optimisation, e.g. modelling of probability density functions
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06NCOMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00Computing arrangements based on biological models
    • G06N3/02Neural networks
    • G06N3/08Learning methods

Abstract

The invention provides a method for integrating array antenna directional images on the basis of neural network algorithms. By the aid of the method, problems of high computational complexity, long computation time and extreme difficulty in finding the optimal weight values of the traditional technologies for integrating array antenna directional images can be solved. The method includes steps of building antenna array models; acquiring the optimal weight values; generating antenna array directional images. The method has the advantages that the neural network algorithms are applied to technologies for integrating the array antenna directional images, trained RBF (radial basis function) neural networks can be effectively used for integrating the array antenna directional images, in other words, the array antenna directional images can be integrated by the aid of the neural network algorithms, the method is specially high in synthesis speed, low in zero-trap level and outstanding in main lobe, and the directional images are in stable shapes.

Description

A kind of Pattern Synthesis of Antenna Array method based on neural network algorithm
Technical field
The present invention relates to mobile communication antenna technical field.
Background technology
Pattern Synthesis of Antenna Array technology is applied to any antenna array with sophisticated signal processor, and it can adjust Or its beam pattern of self adaptation is it is therefore an objective to strengthening signal interested and reducing interference signal additionally it is possible to mitigate multipath effect Adverse effect, it is one of research field of smart antenna.With social information exchange sharply increase, PMC Rapid popularization, frequency spectrum has become more and more valuable resource, and smart antenna adopts space division multiple access technique, is propagated using signal Difference on direction, changes array aerial direction figure by the weighted amplitude and phase place adjusting each array element signals, thus suppressing Interference, improves the signal bandwidth of signal to noise ratio, power system capacity and permission, the resource such as effectively save frequency spectrum and power.
The directional diagram of antenna array system is to rely on the superposition of directional diagram of each oscillator and realize, if each oscillator The amplitude of voltage drive and phase place are varied from, then this antenna system is wanted corresponding directional diagram also can change. In mobile communication application, many times base station is relatively-stationary, and terminal is mobile;Good between them in order to maintain Wireless channel it is ensured that link normal work it is desirable to the main lobe of smart antenna be capable of the moment track terminal that is to say, that The directional diagram of antenna system will do the adjustment of self with the change in location of user.The present invention is using in the time the shortest Find a vector so that the main lobe of its corresponding antenna radiation pattern is directed at the direction of user.
The present invention mainly realizes linear array antenna Pattern Synthesis using intelligent algorithm, and neural network algorithm has very strong appearance Mistake and Function approximation capabilities, using multigroup preferable directional diagram sample data train RBF Neural Network, non-during training network The independent variable of Linear Mapping and dependent variable, are the snapshot of signal direction of arrival and the optimum weight coefficient value of array element respectively, signal snapshot It is randomly selecting, substantial amounts of.After network training is good, when the direction of arrival at the different angle of input, the adaptive life of antenna array system Become directional diagram.
Content of the invention
It is an object of the invention to overcoming shortcoming and the deficiency of prior art, provide a kind of battle array based on neural network algorithm Array antenna Pattern Synthesis method, the method aggregate velocity is especially fast, and null level is low, and main lobe projects, and pattern shapes are steady Fixed.
The purpose of the present invention is achieved through the following technical solutions: a kind of array aerial direction figure based on neural network algorithm Integrated approach, comprising:
Antenna array model establishment step: n coco antenna forms array, and described array comprises n2Individual monopole antenna, sky Linear array adopts uniform straight line array form, antenna spacing d≤λ, and the unit section length of side is 1/2 medium wavelength:
a = λ g / 2 = λ 2 ϵ r - - - ( 1 )
According to the operating center frequency f=1.8ghz of antenna, the DIELECTRIC CONSTANT ε of substrate materialr=2.56, for making positive and negative Micro-strip section is in picturesque disorder, produces the transmission mode being suitable for and radiation mode, needs a ≈ b;Dielectric-slab length l is dielectric-slab width simultaneously 6.5 times of degree w, wherein b is spaced for chip unit;
Best initial weights obtaining step: include information determining step, network parameter selects step, learning training algorithms selection step Suddenly, adjustment and obtaining step;
Information determining step: problem is converted into mode the treatable form that network can be expressed, determines each node Input and output;Calculate each center of a sample with k means Method, n be center of a sample's number it may be assumed that first clustering, then by value Method asks the center of a sample of every class, with required center of a sample for implicit layer unit;
Network parameter selects step: determines input, the number of output neuron, the number of plies of multitiered network and hidden neuron Number, snapshot number of times is k, and training sample number is a, and wherein a is plural number, is divided into real part and imaginary part and calculates it is desirable to be output as The real part of plural weight coefficient of array element and imaginary part, training sample input is to be reached by taking identical with number of training group of ripple at random Angle obtains, and plural weight coefficient is obtained using conjugate gradient algorithms;Choosing of anticipation error is missed by the expectation different to two The network of difference is trained, and therefrom determines a network;
Learning training algorithms selection step: first initialized, then complete function approximation using radial basis function network, determine Input sample and desired output, wherein, the snapshot a of antenna array k × n matrix is set to input sample, weight vector ω of each array element It is set to desired output;Antenna array array number is configured, determines arrival bearing, after normalization, obtain input vector signal, real Existing input vector signal is to the mapping of weight vector;
Adjustment and obtaining step: to clustering method, Hidden nodes, hidden node data center learning coefficient, hidden node extension Constant learning coefficient and hidden node output weights learning coefficient are adjusted, and after completing training, network connection power is determined, can The best initial weights of desired signal are directly obtained using network;
Antenna array pattern generation step: using the best initial weights obtaining, antenna array model is verified, thus raw Become antenna array pattern.
Described snapshot number of times k is set to 200, and training sample number a is set to 800, and gained input sample data is 1600, 800 training sample inputs are obtained by taking 800 groups of direction of arrival at random, obtain 800 groups of plural numbers using conjugate gradient algorithms Weight coefficient, with these data training networks.
Described hidden node data center learning coefficient are 0.001, and hidden node extension constant learning coefficient are 0.002, hidden section Point output weights learning coefficient is 0.005.
Described antenna array array number is set to 8, and arrival bearing is arranged between [- π, π].
Described every group of direction of arrival includes a useful signal and three interference signals, and adds Gauss in each signal Noise.
The present invention can easily find out best initial weights, and aggregate velocity is especially fast, and null level is low, and main lobe projects, and directional diagram Dimensionally stable.
Brief description
Fig. 1 is that the robust detection value of three simulation results compares.
Fig. 2 is radial base neural net structural representation.
Fig. 3 is the array antenna figure general flowchart of neural network algorithm.
Fig. 4 is antenna model schematic diagram.
Fig. 5 is collinear array schematic diagram.
Specific embodiment
Specific embodiment one: a kind of Pattern Synthesis of Antenna Array method based on neural network algorithm, specifically include Following steps,
Antenna array model establishment step: n coco antenna forms array, and described array comprises n2Individual monopole antenna, sky Linear array adopts uniform straight line array form, antenna spacing d≤λ, and the unit section length of side is 1/2 medium wavelength:
a = λ g / 2 = λ 2 ϵ r - - - ( 1 )
According to the operating center frequency f=1.8ghz of antenna, the DIELECTRIC CONSTANT ε of substrate materialr=2.56, for making positive and negative Micro-strip section is in picturesque disorder, produces the transmission mode being suitable for and radiation mode, needs a ≈ b;Dielectric-slab length l is dielectric-slab width simultaneously 6.5 times of degree w, wherein b is spaced for chip unit;
Best initial weights obtaining step: include information determining step, network parameter selects step, learning training algorithms selection step Suddenly, adjustment and obtaining step;
Information determining step: problem is converted into mode the treatable form that network can be expressed, determines each node Input and output;Calculate each center of a sample with k means Method, n be center of a sample's number it may be assumed that first clustering, then by value Method asks the center of a sample of every class, with required center of a sample for implicit layer unit;
Network parameter selects step: determines input, the number of output neuron, the number of plies of multitiered network and hidden neuron Number, snapshot number of times is k, and training sample number is a, and wherein a is plural number, is divided into real part and imaginary part and calculates it is desirable to be output as The real part of plural weight coefficient of array element and imaginary part, training sample input is to be reached by taking identical with number of training group of ripple at random Angle obtains, and plural weight coefficient is obtained using conjugate gradient algorithms;Choosing of anticipation error is missed by the expectation different to two The network of difference is trained, and therefrom determines a network;
Learning training algorithms selection step: first initialized, then complete function approximation using radial basis function network, determine Input sample and desired output, wherein, the snapshot a of antenna array k × n matrix is set to input sample, weight vector ω of each array element It is set to desired output;Antenna array array number is configured, determines arrival bearing, after normalization, obtain input vector signal, real Existing input vector signal is to the mapping of weight vector;
Adjustment and obtaining step: to clustering method, Hidden nodes, hidden node data center learning coefficient, hidden node extension Constant learning coefficient and hidden node output weights learning coefficient are adjusted, and after completing training, network connection power is determined, can The best initial weights of desired signal are directly obtained using network;
Antenna array pattern generation step: using the best initial weights obtaining, antenna array model is verified, thus raw Become antenna array pattern.
Specific embodiment two: specific embodiment two is differred primarily in that with specific embodiment one, snapshot first Number of times k is set to 200, and training sample number a is set to 800, because a is plural number, so real part and imaginary part calculating need to be separated into, so Input sample data 1600 is it is desirable to be output as the real part of plural weight coefficient and the imaginary part of array element.This 800 training sample inputs Obtained by taking 800 groups of direction of arrival at random.Obtain 800 groups of plural weight coefficients using conjugate gradient algorithms, with these data Training network.
Maximum frequency of training is 5000 times in a network.Generally, the selection of learning rate tend to choose less The stability to ensure system for the learning rate, the selection range of learning rate is between 0.01~0.8.Too big learning rate Lead to the unstable of study, too little value leads to the training time extremely grown again.Learning rate is adjusted with frequency of training, but each In training, the learning rate of whole network is identical.Specifically there are two schemes, one is to train with larger learning rate, so when starting Afterwards learning rate is adjusted according to training.Two is with the training of less learning rate when starting, and is then adjusted according to training and learns Habit rate.Final hidden node data center learning coefficient are 0.001, and hidden node extension constant learning coefficient are 0.002, and hidden node is defeated Going out weights learning coefficient is 0.005.
The selection of anticipation error: generally as a comparison, the net of expected error value that can be simultaneously different to two Network is trained, and the consideration finally by composite factor to determine one of network, determines that expectation target error is 0.09.
Secondly, antenna array array number is set to 8.Arrival bearing between [- π, π], 800 groups of direction of arrival randomly selecting, Every group of direction of arrival includes a useful signal and three interference signals, also adds Gaussian noise in each signal.
Operation principle:
Radial basis function neural network by up of three layers, structure chart such as Fig. 2, input layer only transmits input signal to hidden Layer, hidden node is made up of various transmission functions, and the most frequently used radial function as Gaussian function is constituted, and Output node layer is typically simple linear function.
When n is 0, RBF exports maximum 1, when that is, between weight vector ω and input vector p, distance reduces, Output will increase.That is, RBF produces response to input signal in local.Input signal n of function is close During the central range of function, hidden node will produce larger output.It can be seen that this network has partial approximation energy Power, so radial primary function network also becomes local sensing field network.Threshold value b is used for adjusting the sensitivity of radial direction base neuron.
Assume that obtaining the input vector signal after normalization is f, when data by input layer near hidden layer when, hidden layer rbf quilt Activation, outfan needs the weight vector that the amount of nonlinearity approached is time-varying, thus realizing f to the mapping of weight vector ω.Can represent For:
ω i = σ l = 1 l h i , l g l ( | | f - c l | | ) - - - ( 2 )
Wherein, l, m are hidden layer and output layer nodes respectively, hi,lIt is l-th node of hidden layer and i-th node of output layer Connection weight, clIt is Gaussian function center, | | | | it is Euclidean Norm.Available l-th unit is corresponding to be output as:
z l ( k ) = exp [ - σ n = 1 n ( x n ( t ) - c t , n ) 2 2 σ l 2 ] - - - ( 3 )
In formula, ziK () is the output of l-th hidden unit, xnT () is n-th component of t-th input sample vector, ct,n For n-th component of l-th transform center vector in hidden layer, σlIt is the control parameter of corresponding l-th center vector.
Omnidirectional antenna is emulated:
By the great advantages that coco antenna forms array antenna it is exactly: the array being made up of n coco antenna is suitable In containing n2Individual monopole antenna (assuming that each coco antenna is also to be made up of n section microstrip line section), but its only n feedback Electric, comparatively speaking, if an array is made up of n monopole antenna array, it is it is necessary to have n2Individual distributing point is (false If each one pole subarray is also to be made up of n monopole).Certainly, because coco antenna structure is simple, have price advantage and Performance advantage.
The unit section length of side is 1/2 medium wavelength:
a = λ g / 2 = λ 2 ϵ r - - - ( 1 )
According to the operating center frequency f=1.8ghz of antenna, dielectric constant=2.56 of substrate material, for making positive and negative Micro-strip section is in picturesque disorder, produces the transmission mode being suitable for and radiation mode, needs a ≈ b;Dielectric-slab length l is dielectric-slab width simultaneously 6.5 times about of degree w, can obtain a=52mm, b=58.5mm, l=520mm, w=80mm, wa=69.5mm, wb= 11.4mm, h=2.5mm, punch on antenna is away from the paster of feed end, and hole is connected to upper and lower surface, and the radius in hole is 3mm, At feed end 480mm.Wherein h is substrate thickness, and b is spaced for chip unit.Antenna schematic diagram is as shown in Figure 4.Antenna The input impedance of distributing point requires as 50 ω.Observe the input impedance z parameter of the feed port under mid frequency.Adjustment paster Size and feed position all can change the input impedance value of antenna, it is 50 ω and void that purpose makes the real part of input impedance Portion is 0 ω.
Emulated using feko software, model is created according to data above and adjusts mesh-density, by adjusting medium Control card, output control card, Electromagnetic Calculation card are it is considered to becoming to taking effect, calculating far field, calculate standing wave etc..The feed electricity of antenna The amplitude of pressure is 1v, and phase place is 0 °.Simulation establishes 8 array element linear array antenna, in the case of known direction of arrival, by using Amplitude and phase place to control each antenna element voltage for the weights that algorithm obtains, by the way of each array element individually feeds.Depositing In the case of coupling mutual inductance between less antenna array element, the reliability and stability of the directional diagram that inspection generates.As Fig. 5 is The schematic diagram that 8 array element collinear arrays are placed.Linear array is designed with uniform straight line array form, prevents appearance on the h face of antenna Graing lobe, needs to ensure bay center distance d≤λ, and when antenna spacing d≤λ/2 it may appear that Mutual Inductance Coupling is existing As so selecting d ≈ 0.6 λ.Each bay enjoys a feed voltage source.
The beneficial effect of actual moving process:
The present invention draws each group of data average by many experiments emulation it can be seen that the average of null level and side everywhere The average of lobe level all meets desired indicator and requires (referring to table 1).
The meansigma methodss of table 1 each group partial parameters
Every group of emulation, averagely occurs in that 3.5~3.8 nulls being less than -30db, illustrates that neural network algorithm is easier Produce low level null, but in these more low level nulls, some appear on unexpected direction, but certainly not Appear in useful signal principal direction, the probability of appearance accounts for deep null occurs 20%~50%, illustrates side Null is occurred in that in the angle of lobe.
Although unexpected null occurs, have no effect on neural network algorithm adaptive solution array aerial direction figure comprehensive Conjunction problem, it still has practicality.For different array antennas, as long as choosing appropriate neural network algorithm, be given enough Training sample, according to actual requirement adjust network parameter it is possible to obtain accurate network weight.Neural network algorithm is realized Pattern Synthesis of Antenna Array, aggregate velocity is especially fast, and null level is low, and main lobe projects, and pattern shapes are stable.
At same group, under the interference signal effect in three directions, the directional diagram generating every time is very identical, tentatively illustrates to calculate The robustness of method is good.The data obtained will be emulated and calculate robust detection value, acquired results will be shown in Table 2.
Table 2 neural network algorithm robust detection value
Plotted block diagram, such as Fig. 1.Can more intuitively find out, the detection value changes of its each robustness are little, so warp Interference signal direction of arrival direction be varied multiple times, the directional diagram of this algorithm gained remain to adaptive convert therewith, obtain preferably Antenna reception.
In terms of the depth of null, null level is all relatively low so that main lobe is very full.Form directional diagram using neutral net When, efficiency is very high, and robustness is good, and gained directional diagram is stable.
After completing training, network connection power determines that, and directly can obtain the optimum power of desired signal using network Value, flow chart such as Fig. 3 of whole process, using multigroup preferable directional diagram sample data train RBF Neural Network, trains The independent variable of network non-linear hour mapping and dependent variable, are the snapshot of signal direction of arrival and the optimum weight coefficient value of array element respectively, Signal snapshot is randomly selecting, substantial amounts of.After network training is good, when the direction of arrival at the different angle of input, antenna array system is certainly The generation directional diagram adapting to.
Above to a kind of Pattern Synthesis of Antenna Array method based on neural network algorithm provided by the present invention, carry out It is discussed in detail, specific case used herein is set forth to the principle of the present invention and embodiment, above example Explanation be only intended to help and understand the method for the present invention and its core concept;Simultaneously for one of ordinary skill in the art, According to the thought of the present invention, all will change in specific embodiments and applications, in sum, in this specification Hold and should not be construed as limitation of the present invention.

Claims (5)

1. a kind of Pattern Synthesis of Antenna Array method based on neural network algorithm it is characterised in that
Antenna array model establishment step: n coco antenna forms array, and described array comprises n2Individual monopole antenna, aerial array Using uniform straight line array form, antenna spacing d≤λ, the unit section length of side is 1/2 medium wavelength:
a = λ g / 2 = λ 2 ϵ r - - - ( 1 )
According to the operating center frequency f=1.8ghz of antenna, the DIELECTRIC CONSTANT ε of substrate materialr=2.56, for making positive and negative micro-strip Section is in picturesque disorder, produces the transmission mode being suitable for and radiation mode, needs a ≈ b;Dielectric-slab length l is dielectric-slab width w simultaneously 6.5 times, wherein b is spaced for chip unit;
Best initial weights obtaining step: include information determining step, network parameter select step, learning training algorithms selection step, Adjustment and obtaining step;
Information determining step: problem is converted into mode the treatable form that network can be expressed, determines the defeated of each node Enter output;Calculate each center of a sample with k means Method, n be center of a sample's number it may be assumed that first clustering, then by value method Ask the center of a sample of every class, with required center of a sample for implicit layer unit;
Network parameter selects step: determines input, the number of the number of output neuron, the number of plies of multitiered network and hidden neuron Mesh, snapshot number of times is k, and training sample number is a, and wherein a is plural number, is divided into real part and imaginary part calculates it is desirable to be output as array element The real part of plural weight coefficient and imaginary part, training sample input be to be obtained by the direction of arrival taking identical with number of training group at random Arrive, plural weight coefficient is obtained using conjugate gradient algorithms;The expected error value different to two are passed through in choosing of anticipation error Network be trained, therefrom determine a network;
Learning training algorithms selection step: first initialized, then complete function approximation using radial basis function network, determine input Sample and desired output, wherein, the snapshot a of antenna array k × n matrix is set to input sample, and weight vector ω of each array element is set to Desired output;Antenna array array number is configured, determines arrival bearing, after normalization, obtain input vector signal, realize letter Number input vector is to the mapping of weight vector;
Adjustment and obtaining step: to clustering method, Hidden nodes, hidden node data center learning coefficient, hidden node extension constant Learning coefficient and hidden node output weights learning coefficient are adjusted, and after completing training, network connection power is determined, can be direct Obtain the best initial weights of desired signal using network;
Antenna array pattern generation step: using the best initial weights obtaining, antenna array model is verified, thus generating sky Linear array directional diagram.
2. it is characterised in that snapshot number of times k is set to 200, training sample number a is set to 800 to the method for claim 1, Gained input sample data is 1600, and 800 training sample inputs are obtained by taking 800 groups of direction of arrival at random, utilize Conjugate gradient algorithms obtain 800 groups of plural weight coefficients, with these data training networks.
3. method as claimed in claim 2 it is characterised in that described hidden node data center learning coefficient be 0.001, hidden section Point extension constant learning coefficient are 0.002, and hidden node output weights learning coefficient is 0.005.
4. it is characterised in that described antenna array array number is set to 8, arrival bearing is arranged on method as claimed in claim 3 Between [- π, π].
5. method as claimed in claim 4 is it is characterised in that every group of direction of arrival includes a useful signal and three interference Signal, and add Gaussian noise in each signal.
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