CN112055419B - Communication signal correlation method based on statistics - Google Patents

Communication signal correlation method based on statistics Download PDF

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CN112055419B
CN112055419B CN202010995500.9A CN202010995500A CN112055419B CN 112055419 B CN112055419 B CN 112055419B CN 202010995500 A CN202010995500 A CN 202010995500A CN 112055419 B CN112055419 B CN 112055419B
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CN112055419A (en
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马盛元
魏平
李万春
张花国
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NORTH AUTOMATIC CONTROL TECHNOLOGY INSTITUTE
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University of Electronic Science and Technology of China
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Abstract

The invention belongs to the technical field of communication, and particularly relates to a communication signal correlation method based on statistics. The invention provides a communication signal association algorithm based on statistics aiming at a specific multi-node Ad-Hoc communication system. In order to solve the underdetermined association problem, some constraints need to be given, and the method is based on statistics, does not concern the association relationship of a certain signal of an individual, and also needs to add the constraint related to continuous communication. The scheme of the invention can accurately identify most of the communication relations, and under the scene of simultaneous communication of multiple node pairs, the situation of incomplete identification can also occur, but the identification coverage rate of the communication relations can also reach more than 90%.

Description

Communication signal correlation method based on statistics
Technical Field
The invention belongs to the technical field of communication, and particularly relates to a communication signal correlation method based on statistics.
Background
In communication countermeasure, it is often desirable to obtain communication association between nodes of a counterpart communication system for reconnaissance of a non-cooperative communication system. It is often difficult to obtain such a communication relationship, because the conventional interception only knows which node the signal comes from, but cannot know which node the signal is sent to, and the association solution becomes an underdetermined problem. It is not necessary and not accurate to obtain the exact association relationship of each signal received as a scout, and more, the communication relationship between nodes in a certain period of time is needed.
Disclosure of Invention
The invention provides a communication signal association algorithm based on statistics aiming at a specific multi-node Ad-Hoc communication system. In order to solve the underdetermined association problem, some constraints need to be given, and the method is based on statistics, does not concern the association relationship of a certain signal of an individual, and also needs to add the constraint related to continuous communication.
The invention is built under three constraints:
the Ad-Hoc communication system widely stores RTS/CTS pairs, although the interception can only know which transmitting node the signal comes from and cannot know which node the signal is sent to, the existence of the response pairs can help to establish the association relationship.
2. According to a specific communication protocol and in combination with a queuing theory, a probability density function f (t) obeyed by a time slot interval between the response message and the signal is obtained, and the relation between the RTS/CTS pairs is established by utilizing the constraint.
Ad-Hoc has a handshake mechanism of RTS/CTS pair, each communication requires handshake, but a communication process often requires information interaction of multiple times, so it can be reasonably assumed that a communication process of two nodes will last for a period of time, i.e. there will be multiple RTS/CTS pairs within a period of time.
The technical scheme adopted by the invention is as follows:
firstly, establishing a communication system model: consider N nodes P ═ P1,p2…,pNAn Ad-hoc network of M signals S ═ S detected from these nodes over a period of time T1,S2…,SM}, transmitting SiIs that
Figure GDA0003641977280000011
Signal SiHas a TOA of
Figure GDA0003641977280000012
It is desirable to obtain an association between the m-th (1. ltoreq. m.ltoreq.N) and the N-th (1. ltoreq. n.ltoreq.N) nodes
Figure GDA0003641977280000013
Figure GDA0003641977280000013
Figure GDA0003641977280000021
0 denotes p at time tmpnNodes are not associated, 1 denotes p at time tmpnThe nodes are associated.
The specific solving process is as follows:
the method comprises the following steps: extracting weight value
The input to the model is a TOA stream
Figure GDA0003641977280000029
And home node flow
Figure GDA0003641977280000022
First, weights are extracted according to constraint two. This step can extract the relationship between each signal in the input TOA stream and the surrounding signals.
Weight of
Figure GDA0003641977280000023
The definition is as follows:
Figure GDA0003641977280000024
extracting each group p in turnmpn(m is more than or equal to 1 and less than or equal to N, N is more than or equal to 1 and less than or equal to N, and m is not equal to N) node pair weight, and then obtaining normalized weight:
Figure GDA0003641977280000025
if a pair of normalized weights has a value of 1 at a time, indicating that the pair of nodes are most likely to communicate. In a certain communication process, the normalized weights of two nodes in communication may appear to be 1 value from time to time.
Step two: smoothing of filtering
Extracted in the previous step
Figure GDA0003641977280000026
Group-normalized weight sequence, continuous with constraint 2, i.e. constraint of continuous communicationA time slice occurring as a value of 1 may be considered to be communicating. If the distance between two values of 1 is less than a certain set value, it can be considered that two nodes are communicating in the time period between two 1's.
First defining the time radius T to be considered when filteringrDefining the filtered weights as follows:
Figure GDA0003641977280000027
step three: association relation extraction
Extracting in the previous step
Figure GDA0003641977280000028
The group normalized weight sequence, with constraint 2, i.e., the constraint of continuous communication, time segments that occur continuously at a value of 1 can be considered to be in communication.
The final communication association results are as follows:
Figure GDA0003641977280000031
the invention has the beneficial effects that: a specific method for multi-node communication relation mining is provided, and the current related technology blank is solved.
Drawings
FIG. 1 is a correlation model solution process;
FIG. 2 is a result of solving a 4-node communication model;
FIG. 3 model performance index.
Detailed Description
The technical scheme of the invention is described in detail in the following with reference to the accompanying drawings and embodiments:
examples
In the Ad-hoc network in this example, there are 4 nodes, the observation time length is set to 400s, and the number range of communication pairs for each pair of nodes is [3,8 ]]Length range of each communication cycle [10s,20s ]]Density range of signal [3/s,10/s]The probability distribution of the interval time is
Figure GDA0003641977280000032
Fig. 1 is a processing result for a certain pair of nodes, and it can be seen that (a) the red part whose expression value is 1 in the normalized weight in the graph and (d) the true association in the graph have a strong correspondence, which indicates that the weight extracted by the model and the association have a strong correspondence, and after the filtering and smoothing processing in (b), it can be seen that the continuous communication segment can be well extracted, and further, the result close to the true association in (d) can be well recovered in (c).
Fig. 2 is a summary of processing results of 6 sets of association pairs of 4 nodes, where each subgraph represents the normalization weight, the filtered normalization weight, the extracted association, and the true association from top to bottom. It can be seen that when multiple pairs of nodes communicate simultaneously, although the identification is incomplete, the model can better distinguish the communicating pairs of nodes.
Fig. 3 shows the precision ratio and the recall ratio of the correlation obtained by statistics after 10000 times of simulation. It can be seen that the precision ratio of the model is close to 1, the representative model judges the incidence relation more accurately, the recall ratio is distributed at about 90%, and the model can basically find out most of the communication relations.
Conclusion analysis: the model provides a solution to how to extract correlations in a communication system from a detected signal. 10000 times of simulation shows that most of the communication relations can be accurately identified by the model, and under the scene of simultaneous communication of multiple node pairs, incomplete identification can occur, but the identification coverage rate of the communication relations can also reach more than 90%.

Claims (1)

1. Statistics-based communication signal correlation method for a communication system having N nodes P ═ { P ═ P1,p2...,pNAn Ad-hoc network defining M signals S ═ S detected from these nodes during time T1,S2...,SMH, signal SiIs that
Figure FDA0003641977270000018
Signal SiHas a TOA of
Figure FDA0003641977270000019
The aim is to obtain the association relationship between the m-th node and the n-th node
Figure FDA0003641977270000011
0 denotes p at time tmpnNodes are not associated, 1 denotes p at time tmpnThe nodes are related; the association method is characterized by comprising the following steps:
s1, setting the time slot interval between the response message and the signal to obey the probability density function f (t), and according to the TOA flow of the signal
Figure FDA0003641977270000012
Nodal flow of sum signals
Figure FDA0003641977270000013
Calculating weights
Figure FDA00036419772700000110
Figure FDA0003641977270000014
Extracting each group p in turnmpnThe weight of the node pair is that m is more than or equal to 1 and less than or equal to N, N is more than or equal to 1 and less than or equal to N, m is not equal to N, and then the normalized weight is obtained:
Figure FDA0003641977270000015
setting the value of a pair of normalization weights at a certain moment to be 1 to represent the moment, wherein the communication possibility of the pair of nodes is strongest;
s2, for each group p obtained in the step S1mpnAnd (3) smoothing the normalized weight sequence of the node pair by filtering:
defining the temporal radius T of the filteringrThe filtered weights are as follows:
Figure FDA0003641977270000016
s3, obtaining the association relationship as follows:
Figure FDA0003641977270000017
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