CN110427669A - A kind of neural network model calculation method of phase-array scanning radiation beam - Google Patents
A kind of neural network model calculation method of phase-array scanning radiation beam Download PDFInfo
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Abstract
The present invention relates to a kind of neural network model calculation methods of phase-array scanning radiation beam, it mainly include the following contents: building feedback neural network model, neural network model training is participated in using the array beams calculated result obtained as fixed input value, the neural network model of training is completed as phased array radiation beam calculation, is verified with model of the similarity function to building.There is accuracy and a wide range of spreadability to the calculating of phased array radiation beam in the present invention, improve computational efficiency and accuracy in phased array beam analysis.
Description
Technical field
The present invention relates to a kind of calculating of phased array beam, more particularly to the calculation method of airspace scanning radiation beam.
Background technique
The beam quality of Planar Phased Array Antenna can be gradually reduced with the increase of scanning angle, be mainly reflected in wave beam
In the stability of gain and the size of secondary lobe.Accurately calculating with phase-array scanning beam pattern can be in design exposure early period
These problems, convenient for being effectively prevented from and solving in engineering practice.It is main in the calculating of phase-array scanning beam pattern
Difficult point the considerations of being between array element stiffness of coupling and the different scattering environments of each array element, these conditions are difficult in array factor
It is embodied in a manner of parsing in the calculating of product theorem, to affect the accuracy of calculating.It is big especially for having
The Planar Phased Array Antenna of angle scanning range, above-mentioned factor will lead to array radiation beam pattern side penetrate region have compared with
High-accuracy, and computational accuracy can sharp fall in low elevation coverage.
Present invention is generally directed to the Planar Phased Array Antennas with wide-angle scan characteristic, to sweeping in entire scanning area
Wave beam introducing Neural Network model predictive method is retouched accurately to be calculated.
Summary of the invention
The purpose of the present invention is to provide the methods that a kind of radiation beam of adaptation planar big-angle scanning phased array calculates.
Realize technical solution of the invention are as follows: choose the input value substitution array all-wave mould that K group feeds amplitude at random
In type, phase difference selects step increments according to practical phase shifter, corresponds in the case of calculating fixed skew with full-wave simulation
Precise irradiation output.Elman formula feedback neural network model is established, initial input value is added in input layer, mainly includes
Port current feed phase and amplitude information.Network model includes k hidden layer and final output layer, establishes neuronal function letter in layer
It counts, is Sigmoid function in usual hidden layer, be linear function in output layer.Input information and output letter in hidden layer
Feedback information and feedback operator are added between breath, construct monocycle feedback system.It will complete the feed amplitude input value of all-wave calculating
It is substituted into neural network model with radiation beam output valve, is trained using conjugate gradient algorithms, takes precision of prediction to or reach
Training is terminated after to preset times.After completing Establishment of Neural Model, stochastic inputs I (N) is chosen again, using full wave model
Emulation mode and neural net model method calculate separately array radiation patterns output value matrix.The two similitude is calculated, if
Precision cutoff value is set, neural network model accuracy in computations is verified.
The present invention is characterized in that:
(1) scanning beam of phased array is calculated using neural network model, without additional addition array element in calculating
Coupling influence, it is more convenient accurate that the planar phased array scanning beam of wide-angle is calculated;
(2) after the I/O data base of full wave model is established, universal computer model is generated by neural network model,
Computational accuracy is similar with full-wave simulation, while calculating the time and being greatly reduced;
(3) using the input range distribution of quantization in calculating process, phase value is set for the stepping of practical phase shifter
It sets, easily facilitates practical engineering application.
Detailed description of the invention
Fig. 1 is Elman neural network model schematic diagram.
Fig. 2 is neural network model optimized flow chart.
Fig. 3 is that same magnitude is distributed the phase array method of full-wave simulation acquisition to radiation beam pattern.
Fig. 4 is that same magnitude is distributed lower neural network model calculating phase array method to radiation beam pattern.
Fig. 5 is the low elevation angle direction radiation beam pattern of phased array that same magnitude is distributed that lower full-wave simulation obtains.
Fig. 6 is that same magnitude is distributed the low elevation angle direction radiation beam pattern of lower neural network model calculating phased array.
Specific embodiment
The present invention is illustrated using eight yuan of phased array antenna as embodiment.Array element uses doublet unit, array number totally 8
A, array element spacing is 0.5 λ.Detailed process is as follows:
Step 1: establishing neuronal function function, and when handling neuron, the information from other neurons is xi, it
Connection weight between neuron processed be wi, then the input of processed neuron are as follows:
The output of neuron processed are as follows:
Wherein, f is that neuronal function function is also referred to as activation primitive, it determines the output of neuron.θ represents hidden layer
The threshold value of interior neurode.Sigmoid function (tanh is increased continuously function) is used in hidden layer:
Linear function is used in output layer:
F (x)=x;
Step 2: establishing the type of attachment between neuron, using monocycle feedback system, inputs information xi(n), feedback letter
Cease x 'i(n), output information yi(n).Assuming that system is linearly, to be made of forward direction operator f and feedback operator g, output relation are as follows:
yi(n)=f (x 'i(n));
x′i(n)=xi(n)+g(yi(n));
To obtain output information are as follows:
Wherein, f is time delay operator z using a fixed weight w, g-1, therefore this monocycle operator can be write
At:
Last is available with Maclaurin expansion:
Wherein,
z-k(xi(n))=xi(n-k);
Step 3: in the neural network model of eight yuan of microstrip dipole phased arrays, the feed Amplitude Ratio of each port is counted as I
(N)=[i1, i2 ..., i8].Cheng Qian is crossed in Establishment of Neural Model, the feed Amplitude Ratio that shared K group randomly selects is as solid
Determine the training that input value participates in neural network.In every group of feed, phase difference chooses the different fixations of six bit digital phase shifters
Value makes array radiation wave beam achieve the effect that scanning.Its fixed skew is followed successively by 0 °, and ± 11.25 °, ± 22.5 °, ± 45 °, ±
90 °, ± 123.75 °, ± 151.875 ° and ± 174.375 °.By K group different port feed Amplitude Ratio under out of phase difference
Array radiation patterns carry out full-wave simulation calculating, obtain output valve corresponding to every group of input.
In Elman neural network model, input layer is the feed Amplitude Ratio matrix of eight feed ports, network model
In include three hidden layers and final output layer.Activation primitive in hidden layer is Sigmoid function, the activation in output layer
Function is linear function.Conjugate gradient algorithms (quantitative conjugate gradient) is used in training method, it will
It outputs and inputs and is substituted into neural metwork training known to above-mentioned K group, training rate is el.It is neural after M circuit training
The precision of prediction of network model reaches er;
Step 4: the input value I of the new port feed Amplitude Ratio of Kn group is regeneratedn(N), full-wave simulation method is respectively adopted
Corresponding Kn group phased array beam antenna pattern output valve Ep and Eq are calculated with neural network model:
The similarity of the two output value matrix is calculated, and sets similarity threshold ri, the value is set as 0.85 in this example.
If every group of similarity calculation result is all larger than default threshold, neural network model constructs achievement;
If at least one group similarity calculation result is less than default threshold, return step three re-starts instruction to model
Practice.
With the neural network model built to eight yuan of phase array methods to radiation beam pattern and low elevation radiation wave
Beam directional diagram is calculated, and result compares almost the same with full-wave simulation.
Therefore the present invention can accurately calculate the radiation beam pattern in phased array wide-angle scanning range.
Claims (1)
1. a kind of neural network model calculation method of phase-array scanning radiation beam, it is characterised in that:
Step 1: establishing neural network model neuronal function function, and the information from other neurons is xi, with mind processed
It is w through the connection weight between memberi, then the input of processed neuron are as follows:
The output of neuron processed are as follows:
Step 2: establishing the type of attachment between neuron, using monocycle feedback system, inputs information xi(n), feedback information x 'i
(n), output information yi(n);Assuming that system is linearly, to be made of forward direction operator f and feedback operator g, output relation are as follows:
yi(n)=f (x 'i(n));
x’i(n)=xi(n)+g(yi(n));
To obtain output information are as follows:
Step 3: neural network model training process is established: firstly, it is random defeated to randomly select K group to the Array Model pre-seted
Enter I (N), the corresponding array radiation patterns output valve of every group of input is calculated using full-wave simulation mode;Then, by known K
Group input and output value is substituted into neural network model using conjugate gradient algorithms, and predetermined training rate is arranged, it is contemplated that precision and is followed
Ring number completes Establishment of Neural Model;
Step 4: matrix similarity function is established:
To newly generated stochastic inputs I (N), array is calculated separately using full wave model emulation mode and neural net model method
Antenna pattern output valve, the matrix form for being calculated as identical scale calculate the two similitude with similarity function, precision are arranged
Cutoff value verifies neural network model accuracy in computations.
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CN112964941A (en) * | 2021-03-24 | 2021-06-15 | 中山大学 | Phased array antenna test method, device, equipment and medium |
WO2024060132A1 (en) * | 2022-09-22 | 2024-03-28 | 北京京东方技术开发有限公司 | Tunable antenna control method and apparatus and tunable antenna system |
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