CN107590108A - A kind of electromagnetic environment similarity estimating method based on field strength distribution - Google Patents
A kind of electromagnetic environment similarity estimating method based on field strength distribution Download PDFInfo
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Abstract
The invention belongs to electromagnetic environment reconstruction field, the electromagnetic environment similarity estimating method of field strength distribution is based particularly on, it is characterized in that:It comprises at least following steps：Step 1：Area is assessed to actual assessment area and reconstruct respectively and carries out mesh generation, actual assessment area is obtained and the amplitude of field strength in area is assessed in reconstruct；Step 2：Using mathematical statistics and Set Pair Analysis Theory as foundation, average contrast, standard deviation contrast, four indexs of coefficient correlation and Pair Analysis and the criterion corresponding to it are provided；Step 3：Conversion function is established according to the attribute of four indexs of step 2 respectively；Step 4, according to the result of step 3, comprehensive assessment function is established, and comprehensive assessment function is normalized, obtains electromagnetic environment similarity assessment function；Finally provide the corresponding criterion of function.For evaluating the validity of reconstruct electromagnetic environment.
Description
Technical field
The invention belongs to electromagnetic environment reconstruction field, the electromagnetic environment similarity assessment side of field strength distribution is based particularly on
Method, for evaluating the validity of reconstruct electromagnetic environment.
Background technology
With the development of science and technology, communication station is increasing, signal density increase, frequency range constantly extends to height both ends,
New communication system continues to bring out, and variation is presented in circulation way.This will necessarily just form that pattern is numerous and diverse, communication of very dense
Signal electromagnet environment.Such complicated electromagnetic environment can to the efficiency of various electronic equipments and system play bring directly,
Many influences.So it can just be given full play to certainly by electronic equipment and system is adapted to the electromagnetic environment of complexity first
Body function.But the detection of progress equipment and system can be due to the limit of the factors such as regional context in true electromagnetic environment sometimes
Make and be not easy to realize.Therefore, reconstructing the electromagnetic environment similar to actual electromagnetic environment turns into the problem of particularly important.How to comment
The validity of the electromagnetic environment of valency reconstruct is then the important step in electromagnetic environment reconstruct.
The content of the invention
It is an object of the invention to provide a kind of electromagnetic environment similarity estimating method based on field strength distribution, to utilize weight
The electromagnetic environment of structure carries out the joint-trial of equipment and system, so that electronic equipment efficiency can play under the electromagnetic environment of complexity, work(
Adapt to the electromagnetic environment of complexity.
The object of the present invention is achieved like this, a kind of electromagnetic environment similarity estimating method based on field strength distribution, its
It is characterized in:It comprises at least following steps：
Step 1：Area is assessed to actual assessment area and reconstruct respectively and carries out mesh generation, actual assessment area is obtained and reconstruct is commented
Estimate the amplitude of field strength in area；
Step 2：Using mathematical statistics and Set Pair Analysis Theory as foundation, average contrast, standard deviation contrast, correlation are provided
Four indexs of coefficient and Pair Analysis and the criterion corresponding to it；
Step 3：Conversion function is established according to the attribute of four indexs of step 2 respectively；
Step 4, according to the result of step 3, comprehensive assessment function is established, and place is normalized in comprehensive assessment function
Reason, obtains electromagnetic environment similarity assessment function；Finally provide the corresponding criterion of function.
Described step 1 includes：
Step 101：Mesh generation is carried out to actual assessment region, and sampling precision is set, by the length in region point
For n, m, k section, (n+1) × (m+1) × (k+1) individual sampled point is shared, if the representation of sample point field strength is E (xa,yb,
zc), the size of field strength can be by being measured, and the field intensity set registration in actual assessment area is classified as：
Step 102：Signal source is placed on to the signal source rest area of reconstruct electromagnetic environment, actual electromagnetic ring is reconstructed with this
Border；It is similar with the mesh generation in actual assessment area, the length in region is divided into n, m, k section, shared (n+1) × (m+1) ×
(k+1) individual sampled point, if the representation of sample point field strength is E*(xa,yb,zc), the size of field strength can by test with
Emulation is combined to obtain, and the field intensity set registration in actual assessment area is classified as：
Described step 2 includes：
Step 201：Average contrast ε is set, and average contrast is average and the actual assessment area that area's field strength is assessed in reconstruct
The ratio of field strength average,
Field strength average representation in actual assessment area is：
Reconstruct assess area field strength average representation be：
So, average contrast ε is：
When ε ∈ [0.9,1.1], it is believed that the field strength average that area is assessed in reconstruct meets reconfiguration request；
Step 202：Set standard deviation contrast φ, standard deviation contrast be reconstruct assess area's field strength data standard deviation with
The ratio of the standard deviation of actual assessment area field strength data；The standard deviation of actual assessment area field strength is expressed as：
The standard deviation that area's field strength is assessed in reconstruct is expressed as：
Standard deviation contrast φ is expressed as：
When φ ∈ [0.9,1.1], it is believed that the field-strength standard difference that area is assessed in reconstruct meets reconfiguration request；
Step 203：Correlation coefficient ρ is set, and coefficient correlation is to describe the digit character value of dependency relation, is to two groups of data
Between degree of correlation analysis, assessment parameter of the coefficient correlation as reconstructing method；
When ρ ∈ [0.6,1], it is believed that reconstruct assesses area and meets reconfiguration request；
Step 204：Pair Analysis ψ is set, and Pair Analysis is to replicate the field strength of the sampled point under actual electromagnetic environmental simulation to make
For a set, the amplitude of field strength for reconstructing environment down-sampling point is gathered as another；Based on two set property differences,
The composing indexes of Pair Analysis are established, so as to judge the degree of contact of each scheme and real data；
The reconstruct of actual assessment area sample point data set E (x, y, z) and the frequency for specific frequency are assessed area and adopted
Sampling point data acquisition system E*For (x, y, z), the element of set is amplitude of field strength, in order to embody the contact of two elements, with identical
The size of the difference of sampled point amplitude of field strength carries out by stages expression, and Pair Analysis index is formed with this；Specific method is as follows：
The difference value equation that area's field strength data sampled point corresponding with actual assessment area field strength data is assessed in reconstruct is provided first：
ΔE(xa,yb,zc)=| E (xa,yb,zc)-E*(xa,yb,zc)|
In formula, Δ E (x, y, z) represents that the field intensity value of sampled point and actual assessment area sampled data in area space are assessed in reconstruct
In with position sampled point field intensity value difference, unit dB；
Secondly, if the total number of sampled point is N, for Δ E (xa,yb,zc) size following parameter is set：
Homogeneity section, as Δ E (xa,yb,zc) ∈ [0,3dB] when, it is believed that reconstruct electromagnetic environment in sampled point field strength width
Value and the amplitude of field strength of the point in real data have homogeneity, and the quantity that setting tool has the sampled point of homogeneity is S；
Otherness section, as Δ E (xa,yb,zc) ∈ [3dB, 6dB] when, it is believed that reconstruct electromagnetic environment in sampled point field strength
Amplitude and the amplitude of field strength of the point in real data have homogeneity, and the quantity that setting tool has the sampled point of homogeneity is F；
Antagonism section, as Δ E (xa,yb,zc) ∈ [6dB, ∞] when, it is believed that reconstruct electromagnetic environment in sampled point field strength
Amplitude and the amplitude of field strength of the point in real data have homogeneity, and the quantity that setting tool has the sampled point of homogeneity is P；
Obviously, the quantity sum of the quantity of homogeneity point, the quantity of otherness point and antagonism point is N, i.e.,
S+F+P=N
We represent Pair Analysis with ψ：
In formula, S represents the quantity of homogeneity point, and F represents the quantity of otherness point, and P represents the quantity of antagonism point, κ generations
Difference opposite sex indeterminate coefficient, it is opposition property coefficient that κ value, which takes 0.5, λ, here, and permanent λ value is -1；
In the range of ψ ∈ [0.7,1], it is believed that reconstruct assesses area's field strength data and meets reconfiguration request.
Described step 3 includes：
Step 301：Average contrast conversion function is established, the conversion function of average contrast is built from normal distribution,
Formula is as follows：
Wherein ε value is average contrast, and the value for making μ and σ is：
Then the conversion function on average contrast ε is：
F (ε)=exp (- π (ε -1)2)
Step 302：Standard deviation contrast conversion function is established,
Standard deviation contrast φ conversion function is：
F (φ)=exp (- π (φ -1)2)
Step 303：Coefficient correlation conversion function is established, coefficient correlation is to describe the digit character value of certain dependency relation,
Its interval is [- 1,1], when coefficient correlation is equal to 1, represents that both are positive related, -1 represents that both negative senses are related, and 0 represents
Both are uncorrelated, are optimal value when coefficient correlation is 1, therefore establish following conversion function：
F (ρ)=ρ
Step 304：Pair Analysis conversion function is established, Pair Analysis is from the theoretical angle analysis protocol of set pair and test
The contact relation of data, Pair Analysis is stronger closer to the compactness of 1, two set, therefore establishes following conversion function：
F (ψ)=ψ.
Described step 4 includes：
Step 401：Establish comprehensive assessment function
Based on above-mentioned steps, the conversion function on each index is obtained, and the conversion function of each index has
Same monotonicity, therefore, establishing comprehensive assessment function is：
F (S)=f (ε)+f (φ)+f (ρ)+f (ψ)
Step 402：Comprehensive assessment function is normalized, obtains electromagnetic environment similarity assessment function；
It is an advantage of the invention that:The present invention is by establishing comprehensive assessment function：
F (S)=f (ε)+f (φ)+f (ρ)+f (ψ)=3.38
And comprehensive assessment function is normalized, obtain electromagnetic environment similarity assessment function.
When the span of comprehensive assessment function is in the range of [0.75,1], it is believed that reconstruct assesses area and meets that reconstruct will
Ask.The span of comprehensive all indexs and the span of comprehensive function, it is believed that, it is effective that area is assessed in the reconstruct
, meet reconfiguration request.
Brief description of the drawings
With reference to Figure of description, the invention will be further described:
Fig. 1 show electromagnetic environment reconstruct schematic diagram；
Fig. 2 carries out mesh generation to actual assessment region；
Fig. 3 actual electromagnetics environment simultaneously carries out mesh generation；
Fig. 4 reconstructs similar electromagnetic environment, is flat country by reconstruct environment set.
Embodiment
In order to illustrate how the validity of evaluation reconstruct electromagnetic environment, first illustrate how to reconstruct electromagnetic environment herein.Fig. 1 institutes
It is shown as electromagnetic environment reconstruct schematic diagram.What the present invention assessed is the electromagnetism ring based on field strength distribution reconstruct under specific frequency
Border.Signal source is placed according to certain mode in the signal source rest area of reconstruct electromagnetic environment, actual electromagnetism is reconstructed with this
Environment.
Related description is as follows：
Actual electromagnetic environment：Electromagnetic environment at the one of necessary being.
Actual assessment region：It is used for the region for assessing similitude in actual area.
Reconstruct electromagnetic environment：Another place is used for the region of electromagnetic environment reconstruct.
Reconstruct assessment area：It is used for the region for assessing similitude in reconstruction region.
In electromagnetic environment reconstruct, because actual electromagnetic environment and reconstruct electromagnetic environment scope are wider, so first often
Need to mark off actual assessment region and reconstruction region is used as representative.All tests and assessment are carried out in assessment area.Connect
Get off and carry out sampling setting and mesh generation in assessment area.Generally, the mesh generation of assessment area and the wavelength under the frequency
It is relevant.
The validity for assessing reconstruct electromagnetic environment is the important step in electromagnetic environment reconstruct.Assess actual assessment area and
The factor that area is assessed in reconstruct has a lot, herein our major concern amplitude of field strength and frequency distribution.Therefore, the present invention just proposes
Electromagnetic environment similarity estimating method based on field strength distribution, it is characterized in that:
It comprises at least following steps：
Step 1：Area is assessed to actual assessment area and reconstruct respectively and carries out mesh generation, actual assessment area is obtained and reconstruct is commented
Estimate the amplitude of field strength in area；
Step 2：Using mathematical statistics and Set Pair Analysis Theory as foundation, average contrast, standard deviation contrast, correlation are provided
Four indexs of coefficient and Pair Analysis and the criterion corresponding to it；
Step 3：Conversion function is established according to the attribute of four indexs of step 2 respectively；
Step 4, according to the result of step 3, comprehensive assessment function is established, and place is normalized in comprehensive assessment function
Reason, obtains electromagnetic environment similarity assessment function；Finally provide the corresponding criterion of function.
Described step 1 includes：
Step 101：Mesh generation is carried out to actual assessment region, and sampling precision is set, by the length in region point
For n, m, k section, (n+1) × (m+1) × (k+1) individual sampled point is shared, as shown in Figure 2.
If the representation of sample point field strength is E (xa,yb,zc), the size of field strength can be actual by measuring
The field intensity set registration for assessing area is classified as：
Step 102：Signal source is placed on to the signal source rest area of reconstruct electromagnetic environment, actual electromagnetic ring is reconstructed with this
Border；It is similar with the mesh generation in actual assessment area, the length in region is divided into n, m, k section, shared (n+1) × (m+1) ×
(k+1) individual sampled point, if the representation of sample point field strength is E*(xa,yb,zc), the size of field strength can by test with
Emulation is combined to obtain, and the field intensity set registration in actual assessment area is classified as：
Described step 2 includes：
Step 201：Average contrast ε is set, and average contrast is average and the actual assessment area that area's field strength is assessed in reconstruct
The ratio of field strength average,
Field strength average representation in actual assessment area is：
Reconstruct assess area field strength average representation be：
So, average contrast ε is：
When ε ∈ [0.9,1.1], it is believed that the field strength average that area is assessed in reconstruct meets reconfiguration request；
Step 202：Set standard deviation contrast φ, standard deviation contrast be reconstruct assess area's field strength data standard deviation with
The ratio of the standard deviation of actual assessment area field strength data；The standard deviation of actual assessment area field strength is expressed as：
The standard deviation that area's field strength is assessed in reconstruct is expressed as：
Standard deviation contrast φ is expressed as：
When φ ∈ [0.9,1.1], it is believed that the field-strength standard difference that area is assessed in reconstruct meets reconfiguration request；
Step 203：Correlation coefficient ρ is set, and coefficient correlation is to describe the digit character value of dependency relation, is to two groups of data
Between degree of correlation analysis, assessment parameter of the coefficient correlation as reconstructing method；
When ρ ∈ [0.6,1], it is believed that reconstruct assesses area and meets reconfiguration request；
Step 204：Pair Analysis ψ is set, and Pair Analysis is to replicate the field strength of the sampled point under actual electromagnetic environmental simulation to make
For a set, the amplitude of field strength for reconstructing environment down-sampling point is gathered as another；Based on two set property differences,
The composing indexes of Pair Analysis are established, so as to judge the degree of contact of each scheme and real data；
The reconstruct of actual assessment area sample point data set E (x, y, z) and the frequency for specific frequency are assessed area and adopted
Sampling point data acquisition system E*For (x, y, z), the element of set is amplitude of field strength, in order to embody the contact of two elements, herein with
The size of the difference of identical sampled point amplitude of field strength carries out by stages expression, and Pair Analysis index is formed with this；Specific method is as follows：
The difference value equation that area's field strength data sampled point corresponding with actual assessment area field strength data is assessed in reconstruct is provided first：
ΔE(xa,yb,zc)=| E (xa,yb,zc)-E*(xa,yb,zc)|
In formula, Δ E (x, y, z) represents that the field intensity value of sampled point and actual assessment area sampled data in area space are assessed in reconstruct
In with position sampled point field intensity value difference, unit dB；
Secondly, if the total number of sampled point is N, for Δ E (xa,yb,zc) size following parameter is set：
Homogeneity section, as Δ E (xa,yb,zc) ∈ [0,3dB] when, it is believed that reconstruct electromagnetic environment in sampled point field strength width
Value and the amplitude of field strength of the point in real data have homogeneity, and the quantity that setting tool has the sampled point of homogeneity is S.
Otherness section, as Δ E (xa,yb,zc) ∈ [3dB, 6dB] when, it is believed that reconstruct electromagnetic environment in sampled point field strength
Amplitude and the amplitude of field strength of the point in real data have homogeneity, and the quantity that setting tool has the sampled point of homogeneity is F.
Antagonism section, as Δ E (xa,yb,zc) ∈ [6dB, ∞] when, it is believed that reconstruct electromagnetic environment in sampled point field strength
Amplitude and the amplitude of field strength of the point in real data have homogeneity, and the quantity that setting tool has the sampled point of homogeneity is P.
Obviously, the quantity sum of the quantity of homogeneity point, the quantity of otherness point and antagonism point is N, i.e.,
S+F+P=N
We represent Pair Analysis with ψ：
In formula, S represents the quantity of homogeneity point, and F represents the quantity of otherness point, and P represents the quantity of antagonism point, κ generations
Difference opposite sex indeterminate coefficient, it is opposition property coefficient that κ value, which takes 0.5, λ, here, and permanent λ value is -1.
In the range of ψ ∈ [0.7,1], it is believed that reconstruct assesses area's field strength data and meets reconfiguration request.
The concept of conversion function is introduced in step 3.
In step 2 we have proposed four indexs, each index has a Criterion Attribute of itself, and four indexs
Property differs, and when reconstruction region validity is characterized and does not have uniformity, causes sometimes that we can not be singly from index
Angle judges whether reconstruction region is effective.
In order to solve this problem, below for conversion function of each Index Establishment on the index, the purpose of structure
To be when index takes optimal value, conversion function has maximum.Finally the conversion function of each index is added, obtain on
The comprehensive assessment function of four indexs, calculation formula that can be by the use of the function as similarity assessment assess reconfiguration scheme.
Described step 3 includes：
Step 301：Average contrast conversion function is established, the conversion function of average contrast is built from normal distribution,
Formula is as follows：
Wherein ε value is average contrast, and the value for making μ and σ is：
Then the conversion function on average contrast ε is：
F (ε)=exp (- π (ε -1)2)
Step 302：Standard deviation contrast conversion function is established,
Standard deviation contrast φ conversion function is：
F (φ)=exp (- π (φ -1)2)
Step 303：Coefficient correlation conversion function is established, coefficient correlation is to describe the digit character value of certain dependency relation,
Its interval is [- 1,1], when coefficient correlation is equal to 1, represents that both are positive related, -1 represents that both negative senses are related, and 0 represents
Both are uncorrelated, are optimal value when coefficient correlation is 1, therefore establish following conversion function：
F (ρ)=ρ
Step 304：Pair Analysis conversion function is established, Pair Analysis is from the theoretical angle analysis protocol of set pair and test
The contact relation of data, Pair Analysis is stronger closer to the compactness of 1, two set, therefore establishes following conversion function：
F (ψ)=ψ
Described step 4 includes：
Step 401：Establish comprehensive assessment function
Based on above-mentioned steps, the conversion function on each index is obtained, and the conversion function of each index has
Same monotonicity, therefore, establishing comprehensive assessment function is：
F (S)=f (ε)+f (φ)+f (ρ)+f (ψ)
Step 402：Comprehensive assessment function is normalized, obtains electromagnetic environment similarity assessment function：
With reference to embodiment accompanying drawing, the invention will be further described：
As shown in figure 3, choosing typical mountain region as actual electromagnetic environment and carries out mesh generation, mesh generation unit is
1km, transmitting antenna are 488m, tranmitting frequency 30MHz apart from ground level, transmitting position at (- 3,2) place as shown in Figure 3,
The field intensity value that the sampled point marked in figure 3 obtains sampled point with the mode of measurement and emulation combination is as shown in table 1.
Measured result is as follows：
Table 1
As shown in figure 4, in order to reconstruct similar electromagnetic environment, it is flat country that we, which will reconstruct environment set,.Equally
Flat country is subjected to mesh generation, grid units 1km.It is similar to actual electromagnetic environment, the position of transmitting antenna is placed on
(- 3,2) place in Fig. 4, the frequency of transmitting antenna is set as 20MHz, height from the ground is 50m,
By simulation calculation, sample point reconstruct field strength result is obtained.Reconstruction result is as shown in table 2：
Table 2
Next each index is calculated, and compared with criterion.
1st, average contrast ε are calculated
Field strength average representation in actual assessment area is：
Reconstruct assess area field strength average representation be：
So, average contrast ε is：
When ε ∈ [0.9,1.1], it is believed that the field strength average that area is assessed in reconstruct meets reconfiguration request.From average contrast
Angle sees that the field strength average that area is assessed in the reconstruct meets the requirement reconstructed.2nd, standard deviation contrast φ is calculated.
The standard deviation of actual assessment area field strength is expressed as：
The standard deviation that area's field strength is assessed in reconstruct is expressed as：
Standard deviation contrast φ is expressed as：
When φ ∈ [0.9,1.1], it is believed that the standard deviation that area's field strength is assessed in reconstruct meets reconfiguration request.Therefore, from standard
The angle of poor contrast, the reconstruct assess area and meet reconfiguration request.
3rd, correlation coefficient ρ is calculated
When ρ ∈ [0.6,1], it is believed that reconstruct assesses area and meets reconfiguration request.Therefore, from the angle of coefficient correlation, this is heavy
Structure assessment area is related to actual assessment area, meets reconfiguration request.
4th, Pair Analysis ψ is calculated
Calculate actual field intensity value and obtain difference with the field intensity value that reconstruction region acquires.It is listed as follows：
Sampled point total number is 24.
Points S=19 of the field strength difference in the range of [0,3dB]
Points F=2 of the field strength difference in the range of [3,6dB]
Points P=3 of the field strength difference in the range of [6dB, ∞]
Calculate Pair Analysis：
When Pair Analysis is in the range of [0.7,1], reconstruction region meets reconfiguration request.Therefore, from the point of view of Pair Analysis,
This reconstruction region meets reconfiguration request.
Calculate corresponding conversion function
1st, establishing average contrast conversion function is：
F (ε)=exp (- π (ε -1)2)=0.99
2nd, establishing standard deviation contrast conversion function is：
F (φ)=exp (- π (φ -1)2)=0.99
3rd, establishing coefficient correlation conversion function is：
F (ρ)=ρ=0.73
4th, establishing Pair Analysis conversion function is：
F (ψ)=ψ=0.71
Comprehensive assessment
1st, establishing comprehensive assessment function is：
F (S)=f (ε)+f (φ)+f (ρ)+f (ψ)=3.38
2nd, comprehensive assessment function is normalized, obtains electromagnetic environment similarity assessment function.
When the span of comprehensive assessment function is in the range of [0.75,1], it is believed that reconstruct assesses area and meets that reconstruct will
Ask.
The span of comprehensive all indexs and the span of comprehensive function, it is believed that, area is assessed in the reconstruct is
Effectively, reconfiguration request is met.
Claims (5)
1. a kind of electromagnetic environment similarity estimating method based on field strength distribution, it is characterized in that:It comprises at least following steps：
Step 1：Area is assessed to actual assessment area and reconstruct respectively and carries out mesh generation, actual assessment area is obtained and area is assessed in reconstruct
Amplitude of field strength；
Step 2：Using mathematical statistics and Set Pair Analysis Theory as foundation, average contrast, standard deviation contrast, coefficient correlation are provided
With four indexs of Pair Analysis and the criterion corresponding to it；
Step 3：Conversion function is established according to the attribute of four indexs of step 2 respectively；
Step 4, according to the result of step 3, comprehensive assessment function is established, and comprehensive assessment function is normalized, is obtained
To electromagnetic environment similarity assessment function；Finally provide the corresponding criterion of function.
2. a kind of electromagnetic environment similarity estimating method based on field strength distribution according to claim 1, it is characterized in that:Institute
The step 1 stated includes：
Step 101：Mesh generation is carried out to actual assessment region, and sampling precision is set, by the length in region be divided into n,
M, k sections, (n+1) × (m+1) × (k+1) individual sampled point is shared, if the representation of sample point field strength is E (xa,yb,zc), field
Strong size can be by being measured, and the field intensity set registration in actual assessment area is classified as：
Step 102：Signal source is placed on to the signal source rest area of reconstruct electromagnetic environment, actual electromagnetic environment is reconstructed with this；
It is similar with the mesh generation in actual assessment area, the length in region is divided into n, m, k section, shares (n+1) × (m+1) × (k+
1) individual sampled point, if the representation of sample point field strength is E*(xa,yb,zc), the size of field strength can pass through test and emulation
With reference to obtaining, the field intensity set registration in actual assessment area is classified as：
3. a kind of electromagnetic environment similarity estimating method based on field strength distribution according to claim 1, it is characterized in that:Institute
The step 2 stated includes：
Step 201：Average contrast ε is set, and average contrast is the average and actual assessment area field strength that area's field strength is assessed in reconstruct
The ratio of average,
Field strength average representation in actual assessment area is：
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<mover>
<msup>
<mi>E</mi>
<mo>*</mo>
</msup>
<mo>&OverBar;</mo>
</mover>
<mover>
<mi>E</mi>
<mo>&OverBar;</mo>
</mover>
</mfrac>
</mrow>
When ε ∈ [0.9,1.1], it is believed that the field strength average that area is assessed in reconstruct meets reconfiguration request；
Step 202：Standard deviation contrast φ is set, and standard deviation contrast is the standard deviation and reality that area's field strength data are assessed in reconstruct
Assess the ratio of the standard deviation of area's field strength data；The standard deviation of actual assessment area field strength is expressed as：
<mrow>
<mi>D</mi>
<mo>=</mo>
<msqrt>
<mfrac>
<mrow>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>a</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>n</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</munderover>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>b</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>m</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</munderover>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>c</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</munderover>
<msup>
<mrow>
<mo>(</mo>
<mi>E</mi>
<mo>(</mo>
<mrow>
<msub>
<mi>x</mi>
<mi>a</mi>
</msub>
<mo>,</mo>
<msub>
<mi>y</mi>
<mi>b</mi>
</msub>
<mo>,</mo>
<msub>
<mi>z</mi>
<mi>c</mi>
</msub>
</mrow>
<mo>)</mo>
<mo>-</mo>
<mover>
<mi>E</mi>
<mo>&OverBar;</mo>
</mover>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
</mrow>
<mrow>
<mo>(</mo>
<mi>n</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
<mo>(</mo>
<mi>m</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
</mfrac>
</msqrt>
</mrow>
The standard deviation that area's field strength is assessed in reconstruct is expressed as：
<mrow>
<msup>
<mi>D</mi>
<mo>*</mo>
</msup>
<mo>=</mo>
<msqrt>
<mfrac>
<mrow>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>a</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>n</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</munderover>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>b</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>m</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</munderover>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>c</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</munderover>
<msup>
<mrow>
<mo>(</mo>
<msup>
<mi>E</mi>
<mo>*</mo>
</msup>
<mo>(</mo>
<mrow>
<msub>
<mi>x</mi>
<mi>a</mi>
</msub>
<mo>,</mo>
<msub>
<mi>y</mi>
<mi>b</mi>
</msub>
<mo>,</mo>
<msub>
<mi>z</mi>
<mi>c</mi>
</msub>
</mrow>
<mo>)</mo>
<mo>-</mo>
<mover>
<msup>
<mi>E</mi>
<mo>*</mo>
</msup>
<mo>&OverBar;</mo>
</mover>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
</mrow>
<mrow>
<mo>(</mo>
<mi>n</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
<mo>(</mo>
<mi>m</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
</mfrac>
</msqrt>
</mrow>
Standard deviation contrast φ is expressed as：
<mrow>
<mi>&phi;</mi>
<mo>=</mo>
<mfrac>
<msup>
<mi>D</mi>
<mo>*</mo>
</msup>
<mi>D</mi>
</mfrac>
</mrow>
When φ ∈ [0.9,1.1], it is believed that the field-strength standard difference that area is assessed in reconstruct meets reconfiguration request；
Step 203：Correlation coefficient ρ is set, and coefficient correlation is to describe the digit character value of dependency relation, is two groups of data
The analysis of degree of correlation, assessment parameter of the coefficient correlation as reconstructing method；
<mrow>
<mi>&rho;</mi>
<mo>=</mo>
<mfrac>
<mrow>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>a</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>n</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</munderover>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>b</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>m</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</munderover>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>c</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</munderover>
<mrow>
<mo>(</mo>
<mi>E</mi>
<mo>(</mo>
<mrow>
<msub>
<mi>x</mi>
<mi>a</mi>
</msub>
<mo>,</mo>
<msub>
<mi>y</mi>
<mi>b</mi>
</msub>
<mo>,</mo>
<msub>
<mi>z</mi>
<mi>c</mi>
</msub>
</mrow>
<mo>)</mo>
<mo>-</mo>
<mover>
<mi>E</mi>
<mo>&OverBar;</mo>
</mover>
<mo>)</mo>
</mrow>
<mrow>
<mo>(</mo>
<msup>
<mi>E</mi>
<mo>*</mo>
</msup>
<mo>(</mo>
<mrow>
<msub>
<mi>x</mi>
<mi>a</mi>
</msub>
<mo>,</mo>
<msub>
<mi>y</mi>
<mi>b</mi>
</msub>
<mo>,</mo>
<msub>
<mi>z</mi>
<mi>c</mi>
</msub>
</mrow>
<mo>)</mo>
<mo>-</mo>
<mover>
<msup>
<mi>E</mi>
<mo>*</mo>
</msup>
<mo>&OverBar;</mo>
</mover>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mo>(</mo>
<mi>n</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
<mo>(</mo>
<mi>m</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
<msqrt>
<mi>D</mi>
</msqrt>
<msqrt>
<msup>
<mi>D</mi>
<mo>*</mo>
</msup>
</msqrt>
</mrow>
</mfrac>
</mrow>
When ρ ∈ [0.6,1], it is believed that reconstruct assesses area and meets reconfiguration request；
Step 204：Pair Analysis ψ is set, and Pair Analysis is to replicate the field strength of the sampled point under actual electromagnetic environmental simulation as one
Individual set, the amplitude of field strength for reconstructing environment down-sampling point is gathered as another；Based on the difference of two set property, establish
The composing indexes of Pair Analysis, so as to judge the degree of contact of each scheme and real data；
Area's sampled point is assessed in the reconstruct of actual assessment area sample point data set E (x, y, z) and the frequency for specific frequency
For data acquisition system E* (x, y, z), the element of set is amplitude of field strength, in order to embody the contact of two elements, with identical sampling
The size of the difference of point amplitude of field strength carries out by stages expression, and Pair Analysis index is formed with this；Specific method is as follows：
The difference value equation that area's field strength data sampled point corresponding with actual assessment area field strength data is assessed in reconstruct is provided first：
ΔE(xa,yb,zc)=| E (xa,yb,zc)-E*(xa,yb,zc)|
In formula, it is same in the field intensity value and actual assessment area sampled data of sampled point in area space that Δ E (x, y, z) represents that reconstruct is assessed
The difference of position sampled point field intensity value, unit dB；
Secondly, if the total number of sampled point is N, for Δ E (xa,yb,zc) size following parameter is set：
Homogeneity section, as Δ E (xa,yb,zc) ∈ [0,3dB] when, it is believed that reconstruct electromagnetic environment in sampled point amplitude of field strength with
The amplitude of field strength of the point has homogeneity in real data, and the quantity that setting tool has the sampled point of homogeneity is S；
Otherness section, as Δ E (xa,yb,zc) ∈ [3dB, 6dB] when, it is believed that reconstruct electromagnetic environment in sampled point amplitude of field strength
There is homogeneity with the amplitude of field strength of the point in real data, the quantity that setting tool has the sampled point of homogeneity is F；
Antagonism section, as Δ E (xa,yb,zc) ∈ [6dB, ∞] when, it is believed that reconstruct electromagnetic environment in sampled point amplitude of field strength
There is homogeneity with the amplitude of field strength of the point in real data, the quantity that setting tool has the sampled point of homogeneity is P；
Obviously, the quantity sum of the quantity of homogeneity point, the quantity of otherness point and antagonism point is N, i.e.,
S+F+P=N
We represent Pair Analysis with ψ：
<mrow>
<mi>&psi;</mi>
<mo>=</mo>
<mfrac>
<mi>S</mi>
<mi>N</mi>
</mfrac>
<mo>+</mo>
<mfrac>
<mi>F</mi>
<mi>N</mi>
</mfrac>
<mi>&kappa;</mi>
<mo>+</mo>
<mfrac>
<mi>P</mi>
<mi>N</mi>
</mfrac>
<mi>&lambda;</mi>
</mrow>
In formula, S represents the quantity of homogeneity point, and F represents the quantity of otherness point, and P represents the quantity of antagonism point, and κ represents poor
Different in nature indeterminate coefficient, it is opposition property coefficient that κ value, which takes 0.5, λ, here, and permanent λ value is -1；
In the range of ψ ∈ [0.7,1], it is believed that reconstruct assesses area's field strength data and meets reconfiguration request.
4. a kind of electromagnetic environment similarity estimating method based on field strength distribution according to claim 1, it is characterized in that:Institute
The step 3 stated includes：
Step 301：Average contrast conversion function is established, the conversion function of average contrast, formula are built from normal distribution
It is as follows：
<mrow>
<mi>f</mi>
<mrow>
<mo>(</mo>
<mi>&epsiv;</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mfrac>
<mn>1</mn>
<mrow>
<msqrt>
<mrow>
<mn>2</mn>
<mi>&pi;</mi>
</mrow>
</msqrt>
<mi>&sigma;</mi>
</mrow>
</mfrac>
<mi>exp</mi>
<mrow>
<mo>(</mo>
<mo>-</mo>
<mfrac>
<msup>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>-</mo>
<mi>&mu;</mi>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mrow>
<mn>2</mn>
<msup>
<mi>&sigma;</mi>
<mn>2</mn>
</msup>
</mrow>
</mfrac>
<mo>)</mo>
</mrow>
</mrow>
Wherein ε value is average contrast, and the value for making μ and σ is：
<mfenced open = "" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<mi>&mu;</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
</mtd>
<mtd>
<mrow>
<mi>&sigma;</mi>
<mo>=</mo>
<mfrac>
<mn>1</mn>
<msqrt>
<mrow>
<mn>2</mn>
<mi>&pi;</mi>
</mrow>
</msqrt>
</mfrac>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
Then the conversion function on average contrast ε is：
F (ε)=exp (- π (ε -1)2)
Step 302：Standard deviation contrast conversion function is established,
Standard deviation contrast φ conversion function is：
F (φ)=exp (- π (φ -1)2)
Step 303：Coefficient correlation conversion function is established, coefficient correlation is to describe the digit character value of certain dependency relation, and it takes
Value section is [- 1,1], when coefficient correlation is equal to 1, represents that both are positive related, -1 represents that both negative senses are related, and 0 represents both
It is uncorrelated, it is optimal value when coefficient correlation is 1, therefore establish following conversion function：
F (ρ)=ρ
Step 304：Pair Analysis conversion function is established, Pair Analysis is from the theoretical angle analysis protocol of set pair and test data
Contact relation, Pair Analysis is stronger closer to the compactness of 1, two set, therefore establishes following conversion function：
F (ψ)=ψ.
5. a kind of electromagnetic environment similarity estimating method based on field strength distribution according to claim 1, it is characterized in that:Institute
The step 4 stated includes：
Step 401：Establish comprehensive assessment function
Based on above-mentioned steps, the conversion function on each index is obtained, and the conversion function of each index has equally
Monotonicity, therefore, establishing comprehensive assessment function is：
F (S)=f (ε)+f (φ)+f (ρ)+f (ψ)
Step 402：Comprehensive assessment function is normalized, obtains electromagnetic environment similarity assessment function；
<mrow>
<mi>f</mi>
<msup>
<mrow>
<mo>(</mo>
<mi>S</mi>
<mo>)</mo>
</mrow>
<mo>*</mo>
</msup>
<mo>=</mo>
<mfrac>
<mrow>
<mi>f</mi>
<mrow>
<mo>(</mo>
<mi>S</mi>
<mo>)</mo>
</mrow>
</mrow>
<mn>4</mn>
</mfrac>
<mo>.</mo>
</mrow>
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| CN111737847A (en) * | 2020-05-07 | 2020-10-02 | 中国工程物理研究院应用电子学研究所 | Strong electromagnetic pulse environment construction equivalence quantitative grading evaluation method |
| CN112885471A (en) * | 2021-03-12 | 2021-06-01 | 上海中医药大学附属岳阳中西医结合医院 | Psoriasis curative effect evaluation system based on Bayesian network maximum entropy self-learning extension set pair analysis |
| CN116388907A (en) * | 2023-06-02 | 2023-07-04 | 中国信息通信研究院 | High-precision electromagnetic environment reconstruction method and system |
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