CN103439716A - Method for constructing GNSS receiver anti-interference evaluation index system - Google Patents

Abstract

The invention discloses a method for constructing a GNSS receiver anti-interference evaluation index system. The method comprises the first step of establishing a GNSS receiver anti-interference evaluation index set based on the principles such as definition, comparability, testability, coordination, completeness, independence, conciseness and hierarchy, and the second step of carrying out attribute reduction on the evaluation index set obtained from the first step based on the principal component analytical method of K-L conversion. According to the method for constructing the GNSS receiver anti-interference evaluation index system, the completeness and the independence of an evaluation index are fully taken into consideration, and the method does not have redundancy, has high practical value and can serve as the index selection for evaluating the anti-interference evaluation of various GNSS anti-interference receivers.

Description

The construction method of GNSS receiver anti-jamming evaluation index system

Technical field

The invention belongs to global navigation satellite system (Global Navigation Satellite System, GNSS) receiver (guide number SS receiver) assessment technology field, be specifically related to a kind of construction method of GNSS receiver anti-jamming evaluation index system.

Background technology

The GNSS receiver is that the user is used for receiving the GNSS satellite-signal and it is processed to a kind of accurate expensive instrument of obtaining navigation information, consisting of electronics and mechanical devices.

In GNSS Receiver Design, development, evaluation and type-approval process, need to receive the machine interference free performance to GNSS and carry out qualitative assessment, and quantitative comparison is carried out in the effect in the GNSS receiver to various interference protection measures, provide Technical Reference with aspects such as the Scheme Choice to the GNSS receiver, improvement in performance, the anti-jamming performance evaluation result of GNSS receiver be can be used for to two aspects: GNSS receiver equipment preparation and measures of effectiveness.

At first, development for GNSS receiver equipment, set up a GNSS anti-interference of receiver energy index system and the interference protection measure selection standard based on this index system, can make on the one hand the interference free performance of GNSS receiver reach best, reduce to greatest extent on the other hand the impact on the serviceability of GNSS receiver;

Secondly, assessment for GNSS receiver usefulness, no matter be GNSS receiver equipment or the GNSS receiver in the use state of just having developed, all need its actual antijamming capability is verified to assessment is to guarantee the normal receiving satellite signal of GNSS receiver.

In the GNSS anti-interference of receiver can be assessed, setting up evaluation index system and choosing appraisal procedure is two very important work, only have the evaluation index collection when foundation to there is completeness and independence preferably, and, when the appraisal procedure of choosing is more suitable, could effectively to the interference free performance of receiver, be assessed.At present, the anti-jamming performance evaluation aspect of GNSS receiver does not also form a perfect index system.

Summary of the invention

The object of the invention is to overcome the problems referred to above of the prior art, a kind of construction method of GNSS receiver anti-jamming evaluation index system is provided, the index set that adopts the method to set up has completeness and independence preferably, and nonredundancy.

For solving the problems of the technologies described above, the present invention by the following technical solutions:

A kind of construction method of GNSS receiver anti-jamming evaluation index system is characterized in that: comprise the following steps:

Step 1: according to the logical relation between GNSS receiver anti-jamming evaluation index, set up the GNSS receiver anti-jamming evaluation target layers structural drawing of recursion;

Step 2: be X by the lowermost layer GNSS receiver anti-jamming evaluation index of step 1 gained hierarchical chart _j, j=1 wherein, 2 ... p, the concrete number that p is lowermost layer GNSS receiver anti-jamming evaluation index, to X _jquantized and yojan, specifically comprised the following steps:

Step 21: set up GNSS receiver anti-jamming evaluation achievement data matrix;

Choose some GNSS receivers, and test respectively the X of every GNSS receiver _j, test result is labeled as x _ij, i=1,2 ... n, the concrete number that n is some receivers choosing obtains data matrix X:

$X=\left[\begin{array}{cccc}{x}_{11}& \·\·\·& x_{1j}& x_{1p}\\ \·& \·& \·& \·\\ \·& \·& \·& \·\\ \·& \·& \·& \·\\ x_{i1}& \·\·\·& x_{\mathrm{ij}}& x_{\mathrm{ip}}\\ x_{n1}& \·\·\·& x_{\mathrm{nj}}& x_{\mathrm{np}}\end{array}\right]---\left(1\right)$

Step 22: by the Z-SCORE method, data matrix X is carried out to standardized transformation, obtain data matrix Z:

$Z=\left[\begin{array}{cccc}{z}_{11}& \·\·\·& z_{1j}& z_{1p}\\ \·& \·& \·& \·\\ \·& \·& \·& \·\\ \·& \·& \·& \·\\ z_{i1}& \·\·\·& z_{\mathrm{ij}}& z_{\mathrm{ip}}\\ z_{n1}& \·\·\·& z_{\mathrm{nj}}& z_{\mathrm{np}}\end{array}\right]---\left(2\right)$

In the standardization change procedure, formula used is as follows:

$z_{\mathrm{ij}}=(x_{\mathrm{ij}}-\stackrel{\‾}{x_j})/s_j$

$\stackrel{\‾}{x_j}=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{x}_{\mathrm{ij}}/n---\left(3\right)$

$s_j^2=\underset{i=2}{\overset{n}{\mathrm{\Σ}}}{(x_{\mathrm{ij}}-\stackrel{\‾}{x_j})}^2/(n-1)$

Data mean value after standardization changes is 0, and variance is 1; By the X after standardization changes _jbe labeled as Z _j;

Step 23: asked the correlation matrix R of data matrix X by the achievement data matrix Z after standardization, in solution procedure, formula used is:

$r_{\mathrm{jk}}=\frac{1}{n-1}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}\[(x_{\mathrm{ij}}-\stackrel{\‾}{x_j})/s_j\]\[(x_{\mathrm{ik}}-\stackrel{\‾}{x_k})/s_k\]$

$=\frac{1}{n-1}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{z}_{\mathrm{ij}}\·z_{\mathrm{ik}}---\left(5\right)$

Wherein, k=1,2 ... p, according to known in formula (5): r _jk=r _kj, and when j=k, r _jk=r _kj=1;

Step 24: the characteristic root λ that asks step 23 gained correlation matrix R _gwith characteristic root λ _gcharacteristic of correspondence vector (I _g1, I _g2... I _gp), wherein, g=1,2 ... p;

Step 25: by the anti-interference index Z of GNSS receiver after standardization _jbe transformed into main composition, change formula as follows:

F _g=I _g1z ₁+I _g2z ₂+…+I _gpz _p （6）

F _gbe called g main composition;

Step 26: the number of determining main composition by the variance contribution ratio of asking main composition;

Main composition F _gthe i.e. main composition characteristic of correspondence root λ of variance _g, the characteristic root λ according to order from big to small to step 24 gained _gresequenced and got from big to small m eigenvalue λ according to the gained order _g, wherein, m=1,2 ... P, the ratio of satisfied got eigenwert sum and all eigenwert sums is greater than the number that the m of a certain number percent is main composition,

Step 27: choose the index of m main composition of every GNSS receiver as GNSS receiver anti-jamming evaluation system, the defecate collection of gained index forms GNSS receiver anti-jamming evaluation index system.

Further, the value of described number percent is 85%

Further, the hierarchical chart of described GNSS receiver anti-jamming evaluation index is divided into four layers, and ground floor is GNSS receiver Synthetic Anti-jamming, the second layer is divided into receiver interference protection measure and receiver inherent characteristic by the GNSS receiver Synthetic Anti-jamming of ground floor, to in the second layer, the receiver interference protection measure be divided into to resistance to compression standard jamming performance, anti-deception formula jamming performance and anti-multipath jamming performance in the 3rd layer, the assessment of receiver inherent characteristic is divided into to receiver antenna interference free performance and digital channel performance, in the 4th layer, the resistance to compression standard jamming performance in the 3rd layer is divided into to resistance to compression standard interference performance, resistance to compression system is disturbed number, anti-interference improvement factor, the equivalence carrier-to-noise ratio, effectively follow the tracks of probability, to resist deception formula jamming performance to be divided into deception formula annoyance level, anti-cheating interference number, tracking error, discovery time, disturb Effective Probability, to resist the multipath jamming performance to be divided into the multipaths restraint front and back ratio of gains, the receiver antenna interference free performance is divided into to the anti-multipath interference performance, the antenna degree of freedom, equivalence carrier-to-noise ratio and the Research of Antenna Polarization, the digital channel performance is divided into to parafacies passage consistency and analog to digital conversion quantization digit.

Compared with prior art, the invention has the beneficial effects as follows:

At first, the Performance Evaluation of GNSS receiver depends on the comparison of each index, and the performance quality of complete index Set Pair Analysis GNSS receiver is most important, and the interference environment that the present invention faces from receiver has been set up complete GNSS receiver evaluation index collection;

Secondly, the construction method of GNSS receiver anti-jamming evaluation index system of the present invention utilizes the method for major component yojan, filter out the larger index of receiver Performance Evaluation impact, index set after yojan can not only reflect the interference free performance of receiver, also reduced to greatest extent the impact on the serviceability of GNSS receiver, be conducive to carry out the anti-jamming effectiveness contrast between different receivers.

The accompanying drawing explanation

Fig. 1 is the GNSS receiver anti-jamming evaluation target layers structural drawing in the embodiment of the present invention.

Embodiment

In order to make purpose of the present invention, technical scheme and advantage clearer, below in conjunction with drawings and Examples, the present invention is further elaborated.Should be appreciated that specific embodiment described herein, only in order to explain the present invention, is not intended to limit the present invention.

The construction method of the GNSS receiver anti-jamming evaluation index system in the present embodiment comprises the following steps:

Step 1: according to the logical relation between GNSS receiver anti-jamming evaluation index, set up the GNSS receiver anti-jamming evaluation target layers structural drawing of recursion;

Wherein, GNSS receiver anti-jamming evaluation index request meets following principle:

(1) definition: the concrete meaning of each GNSS receiver anti-jamming evaluation index can not be fuzzy, must be clear errorless;

(2) comparability: GNSS receiver anti-jamming evaluation index is wanted to quantize, and for the qualitative index that can not quantize, digitizing by other means, can be contrasted;

(3) measurability: the every GNSS receiver anti-jamming evaluation index occurred must can be measured under the prior art condition, and those indexs of not having operability are not all considered;

(4) harmony: can not mutually conflict between GNSS receiver anti-jamming evaluation index.

GNSS receiver anti-jamming evaluation index is the ingredient of evaluation system, set up a whole set of index system of reaction anti-interference of receiver energy comprehensively, and can interknit a unified integral body of formation between index, also will take into account following principle:

(1) completeness: the GNSS receiver anti-jamming evaluation index system of setting up by the present invention, can comprehensively reflect the Anti-jamming effectiveness of receiver;

(2) independence: between each evaluation index of GNSS receiver anti-jamming evaluation index system, do not have redundancy;

(3) terse property: GNSS receiver anti-jamming evaluation index system can not be too numerous and jumbled, and assessment is had no way of doing it;

(4) level: divide by different level between GNSS receiver anti-jamming evaluation index, can realize that the assessment of one-level one-level is until obtain net result.

According to above principle, as shown in Figure 1, GNSS receiver anti-jamming evaluation index chromatography structural drawing in the present embodiment comprises four layers: the evaluation index of ground floor is GNSS receiver Synthetic Anti-jamming, this one deck only has this evaluation index, is used for the antijamming capability of receiver is done to final evaluation, in the second layer, the GNSS receiver Synthetic Anti-jamming in ground floor is divided into to receiver interference protection measure and receiver inherent characteristic, to in the second layer, the receiver interference protection measure be divided into to resistance to compression standard jamming performance, anti-deception formula jamming performance and anti-multipath jamming performance in the 3rd layer, the receiver inherent characteristic is divided into to receiver antenna interference free performance and digital channel performance, in the 4th layer, the resistance to compression standard jamming performance in the 3rd layer is divided into to resistance to compression standard interference performance, resistance to compression system is disturbed number, anti-interference improvement factor, the equivalence carrier-to-noise ratio, effectively follow the tracks of probability, to resist deception formula jamming performance to be divided into deception formula annoyance level, anti-cheating interference number, tracking error, discovery time, disturb Effective Probability, to resist the multipath jamming performance to be divided into the multipaths restraint front and back ratio of gains, the receiver antenna interference free performance is divided into to the anti-multipath interference performance, the antenna degree of freedom, equivalence carrier-to-noise ratio and the Research of Antenna Polarization, the digital channel performance is divided into to parafacies passage consistency and analog to digital conversion quantization digit.By 17 anti-interference index of GNSS receiver of the 4th layer, be X _j, j=1,2 ... p, p=17, still replace 17 to be that the value of the p hereinafter occurred is also 17 for convenient explanation hereinafter with p here;

The preliminary evaluation index collection of setting up has comprised the redundant attributes between index, as equivalent carrier-to-noise ratio with effectively follow the tracks of between probability and to have certain contact, the equivalence carrier-to-noise ratio also has certain relevant with the analog to digital conversion figure place, according to the requirement of GNSS receiver anti-jamming evaluation index independence and terse property, the Principal Component Analysis Method of needs use based on Karhunen-Loeve transformation carried out attribute reduction to the evaluation index collection of step 1 gained.

Step 2: to 17 GNSS receiver anti-jamming evaluation index X of the 4th layer in the hierarchical chart of step 1 gained _jquantized and yojan, specifically comprised the following steps:

Step 21: set up GNSS receiver anti-jamming evaluation achievement data matrix;

Choose some GNSS receivers, and test respectively the X of every GNSS receiver _j, test result is labeled as x _ij, i=1,2 ... n, the concrete number that n is some receivers choosing obtains data matrix X:

$X=\left[\begin{array}{cccc}{x}_{11}& \·\·\·& x_{1j}& x_{1p}\\ \·& \·& \·& \·\\ \·& \·& \·& \·\\ \·& \·& \·& \·\\ x_{i1}& \·\·\·& x_{\mathrm{ij}}& x_{\mathrm{ip}}\\ x_{n1}& \·\·\·& x_{\mathrm{nj}}& x_{\mathrm{np}}\end{array}\right]---\left(1\right)$

Step 22: by the Z-SCORE method, data matrix X is carried out to standardized transformation, obtain data matrix Z:

$Z=\left[\begin{array}{cccc}{z}_{11}& \·\·\·& z_{1j}& z_{1p}\\ \·& \·& \·& \·\\ \·& \·& \·& \·\\ \·& \·& \·& \·\\ z_{i1}& \·\·\·& z_{\mathrm{ij}}& z_{\mathrm{ip}}\\ z_{n1}& \·\·\·& z_{\mathrm{nj}}& z_{\mathrm{np}}\end{array}\right]---\left(2\right)$

In the standardization change procedure, formula used is as follows:

$z_{\mathrm{ij}}=(x_{\mathrm{ij}}-\stackrel{\‾}{x_j})/s_j$

$\stackrel{\‾}{x_j}=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{x}_{\mathrm{ij}}/n$ $s_j^2=\underset{i=2}{\overset{n}{\mathrm{\Σ}}}{(x_{\mathrm{ij}}-\stackrel{\‾}{x_j})}^2/(n-1)---\left(3\right)$

Data mean value after standardization changes is 0, and variance is 1; By the X after standardization changes _jbe labeled as Z _j;

Step 23: asked the correlation matrix R of data matrix X by the achievement data matrix Z after standardization, in solution procedure, formula used is:

$r_{\mathrm{jk}}=\frac{1}{n-1}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}\[(x_{\mathrm{ij}}-\stackrel{\‾}{x_j})/s_j\]\[(x_{\mathrm{ik}}-\stackrel{\‾}{x_k})/s_k\]$

$=\frac{1}{n-1}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{z}_{\mathrm{ij}}\·z_{\mathrm{ik}}---\left(5\right)$

Wherein, k=1,2 ... p, according to known in formula (5): r _jk=r _kj, and when j=k, r _jk=r _kj=1;

Step 24: the characteristic root λ that asks step 23 gained correlation matrix R _gwith characteristic root λ _gcharacteristic of correspondence vector (I _g1, I _g2... I _gp), wherein, g=1,2 ... p;

Step 25: by 17 anti-interference index Z of GNSS receiver after standardization _jbe transformed into main composition, change formula as follows:

F _g=I _g1z ₁+I _g2z ₂+…+I _gpz _p (6)

F _gbe called g main composition;

Step 26: by asking variance contribution ratio, determine the number of main composition;

Main composition F _gthe i.e. main composition characteristic of correspondence root λ of variance _g, its size has reflected main composition F _gthe size of role when assessment GNSS anti-interference of receiver energy.

Characteristic root λ according to order from big to small to step 24 gained _gresequenced and got from big to small m eigenvalue λ according to the gained order _g, wherein, m=1,2 ... p, the ratio of satisfied got eigenwert sum and all eigenwert sums is greater than the number that the m of a certain number percent is main composition, and the value of the number percent in the present embodiment is 85%.

Step 27: choose the index of m main composition of every GNSS receiver as GNSS receiver anti-jamming evaluation system, the defecate collection of gained index forms GNSS receiver anti-jamming evaluation index system.

Those of ordinary skill in the art will appreciate that, embodiment described here is in order to help reader understanding's principle of the present invention, should be understood to that protection scope of the present invention is not limited to such special statement and embodiment.Those of ordinary skill in the art can make various other various concrete distortion and combinations that do not break away from essence of the present invention according to these technology enlightenments disclosed by the invention, and these distortion and combination are still in protection scope of the present invention.

Claims (3)

1. the construction method of a GNSS receiver anti-jamming evaluation index system is characterized in that: comprise the following steps:

Step 1: according to the logical relation between GNSS receiver anti-jamming evaluation index, set up the GNSS receiver anti-jamming evaluation target layers structural drawing of recursion;

Step 2: be X by the lowermost layer GNSS receiver anti-jamming evaluation index of step 1 gained hierarchical chart _j, j=1 wherein, 2 ... p, the concrete number that p is lowermost layer GNSS receiver anti-jamming evaluation index, to X _jquantized and yojan, specifically comprised the following steps:

Step 21: set up GNSS receiver anti-jamming evaluation achievement data matrix;

Choose some GNSS receivers, and test respectively the X of every GNSS receiver _j, test result is labeled as x _ij, i=1,2 ... n, the concrete number that n is some receivers choosing obtains data matrix X:

$X=\left[\begin{array}{cccc}{x}_{11}& \·\·\·& x_{1j}& x_{1p}\\ \·& \·& \·& \·\\ \·& \·& \·& \·\\ \·& \·& \·& \·\\ x_{i1}& \·\·\·& x_{\mathrm{ij}}& x_{\mathrm{ip}}\\ x_{n1}& \·\·\·& x_{\mathrm{nj}}& x_{\mathrm{np}}\end{array}\right]---\left(1\right)$

Step 22: by the Z-SCORE method, data matrix X is carried out to standardized transformation, obtain data matrix Z:

$Z=\left[\begin{array}{cccc}{z}_{11}& \·\·\·& z_{1j}& z_{1p}\\ \·& \·& \·& \·\\ \·& \·& \·& \·\\ \·& \·& \·& \·\\ z_{i1}& \·\·\·& z_{\mathrm{ij}}& z_{\mathrm{ip}}\\ z_{n1}& \·\·\·& z_{\mathrm{nj}}& z_{\mathrm{np}}\end{array}\right]---\left(2\right)$

In the standardization change procedure, formula used is as follows:

$z_{\mathrm{ij}}=(x_{\mathrm{ij}}-\stackrel{\‾}{x_j})/s_j$

$\stackrel{\‾}{x_j}=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{x}_{\mathrm{ij}}/n---\left(3\right)$ $s_j^2=\underset{i=2}{\overset{n}{\mathrm{\Σ}}}{(x_{\mathrm{ij}}-\stackrel{\‾}{x_j})}^2/(n-1)$

Data mean value after standardization changes is 0, and variance is 1, by the X after standardization changes _jbe labeled as Z _j;

Step 23: asked the correlation matrix R of data matrix X by the achievement data matrix Z after standardization, in solution procedure, formula used is:

$r_{\mathrm{jk}}=\frac{1}{n-1}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}\[(x_{\mathrm{ij}}-\stackrel{\‾}{x_j})/s_j\]\[(x_{\mathrm{ik}}-\stackrel{\‾}{x_k})/s_k\]$

$=\frac{1}{n-1}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{z}_{\mathrm{ij}}\·z_{\mathrm{ik}}---\left(5\right)$

Wherein,

k=1,2 ... p, according to known in formula (5): r _jk=r _kj, and when j=k, r _jk=r _kj=1;

Step 24: the characteristic root λ that asks step 23 gained correlation matrix R _gwith characteristic root λ _gcharacteristic of correspondence vector (I _g1, I _g2... I _gp), wherein, g=1,2 ... p;

Step 25: by the anti-interference index Z of GNSS receiver after standardization _jbe transformed into main composition, change formula as follows:

F _g=I _g1z ₁+I _g2z ₂+…+I _gpz _p （6）

F _gbe called g main composition;

Step 26: the number of determining main composition by the variance contribution ratio of asking main composition;

Main composition F _gthe i.e. main composition characteristic of correspondence root λ of variance _g, the characteristic root λ according to order from big to small to step 24 gained _gresequenced and got from big to small m eigenvalue λ according to the gained order _g, wherein, m=1,2 ... p, the ratio of satisfied got eigenwert sum and all eigenwert sums is greater than the number that the m of a certain number percent is main composition;

Step 27: choose the index of m main composition of every GNSS receiver as GNSS receiver anti-jamming evaluation system, the defecate collection of gained index forms GNSS receiver anti-jamming evaluation index system.

2. the construction method of GNSS receiver anti-jamming evaluation index system according to claim 1, it is characterized in that: the value of described number percent is 85%.

3. the construction method of GNSS receiver anti-jamming evaluation index system according to claim 1 and 2, it is characterized in that: described hierarchical chart is divided into four layers, ground floor is GNSS receiver Synthetic Anti-jamming index, the second layer is divided into receiver interference protection measure index and receiver inherent characteristic index by the GNSS receiver Synthetic Anti-jamming index of ground floor, will in the second layer, receiver interference protection measure index be divided into to resistance to compression standard jamming performance index, anti-deception formula jamming performance index and anti-multipath jamming performance index in the 3rd layer; Receiver inherent characteristic evaluation index is divided into to receiver antenna interference free performance index and digital channel performance index, the resistance to compression standard jamming performance index in the 3rd layer is divided in the 4th layer to resistance to compression standard interference performance, resistance to compression system and disturbs number, anti-interference improvement factor, equivalent carrier-to-noise ratio, effectively follow the tracks of probability; To resist deception formula jamming performance index to be divided into deception formula annoyance level, anti-cheating interference number, tracking error, discovery time, interference Effective Probability; To resist multipath jamming performance index to be divided into the multipaths restraint front and back ratio of gains; Receiver antenna interference free performance index is divided into to anti-multipath interference performance, antenna degree of freedom, equivalent carrier-to-noise ratio and the Research of Antenna Polarization; The digital channel performance index are divided into to parafacies passage consistency and analog to digital conversion quantization digit.

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