CN114337774B - Safe transmission method for double-satellite communication system - Google Patents
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- CN114337774B CN114337774B CN202111513780.6A CN202111513780A CN114337774B CN 114337774 B CN114337774 B CN 114337774B CN 202111513780 A CN202111513780 A CN 202111513780A CN 114337774 B CN114337774 B CN 114337774B
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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- Y02D—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
- Y02D30/00—Reducing energy consumption in communication networks
- Y02D30/70—Reducing energy consumption in communication networks in wireless communication networks
Abstract
The application discloses a safe transmission method facing to a double-satellite communication system in the technical field of wireless communication, which comprises the steps of obtaining perfect channel information of legal users and imperfect channel information of eavesdroppers; establishing a safe transmission problem model taking a beam forming weight vector as a variable; taking uncertainty caused by imperfect information of an eavesdropper channel into consideration, and introducing a safety interruption probability constraint condition; solving a safe transmission problem model according to the actual conditions of all satellites in the double-satellite communication system to obtain a beam forming weight vector; the user signals are multiplied by the beam forming weight vectors obtained in the space-time coding follow-up, sent to the corresponding satellites and forwarded to the ground users through the satellites, so that the communication quality of the double-satellite communication system is ensured, and meanwhile, the safety and reliability of information transmission between legal users and the satellites are improved.
Description
Technical Field
The application belongs to the field of satellite communication, and particularly relates to a safe transmission method for a double-satellite communication system.
Background
Satellite communication has wide coverage, is not affected by regions, has large communication capacity and the like, and has wide application prospect in the fields of remote region communication, navigation, disaster relief and the like. However, due to the inherent broadcasting characteristics and wide area coverage of satellites, security issues are of great concern.
The traditional upper encryption method has the premise that an eavesdropper has limited computing power and cannot decipher an encryption algorithm. However, with the development of quantum computing and the enhancement of the computing power of eavesdroppers, the conventional key mechanism has difficulty in ensuring the secure transmission of signals. Unlike terrestrial wireless communication systems, in many cases of malicious eavesdropping in satellite communication systems, it is often difficult to obtain perfect channel state information of an eavesdropper. Therefore, the physical layer secure transmission method under the condition of imperfect eavesdropper channel information is a technical problem to be solved in the satellite communication field.
In addition, in the satellite communication system, the signals received by the ground users are affected by shadow effect and multipath scattering, so that the communication quality is affected, and how to improve the reliability of the communication is another technical problem in the satellite communication field.
Disclosure of Invention
The application aims to provide a safe transmission method for a double-satellite communication system, which ensures the communication quality of the double-satellite communication system and improves the safety and reliability of information transmission between legal users and satellites.
In order to achieve the above purpose, the technical scheme adopted by the application is as follows:
the application provides a safe transmission method facing a double-satellite communication system, which comprises the following steps:
acquiring perfect channel information of legal users and imperfect channel information of eavesdroppers;
the method comprises the steps of taking the maximum safe rate of a double-satellite communication system as a target, adding a safe interruption probability constraint condition, a transmission rate constraint condition and a satellite maximum transmission power constraint condition of information transmission between a legal user and a satellite, and establishing a safe transmission problem model taking a beam forming weight vector as a variable;
taking uncertainty caused by imperfect information of an eavesdropper channel into consideration, and introducing a safety interruption probability constraint condition;
solving a safe transmission problem model according to the actual conditions of all satellites in the double-satellite communication system to obtain a beam forming weight vector; the user signals are multiplied by the beam forming weight vector obtained before the space-time coding is carried out, and the multiplied beam forming weight vector is sent to the corresponding satellite and is forwarded to the ground user through the satellite.
Preferably, the expression formula of the outage probability constraint condition is:
wherein h is i Represented as satellite channels, w i Expressed as a beamforming weight vector, R expressed as a system safe rate threshold, p k,sop ∈(0,1]For the system outage probability threshold value,noise power, denoted as legal user received signal, ">Noise power expressed as the signal received by an eavesdropper, (·) H Represented as a conjugate transpose operator.
Preferably, the expression of the transmission rate constraint is:
wherein R is min A transmission rate threshold value representing a legitimate user,
preferably, the expression formula of the satellite maximum transmission power constraint condition is:
||w i || 2 ≤P i，max
wherein P is i,max Representing the i-th satellite maximum transmit power threshold.
Preferably, the uncertainty caused by imperfect information of the eavesdropper channel is considered, and a safe interrupt probability constraint condition is introduced; the process comprises the following steps:
the uncertainty model of the kth eavesdropper channel is expressed as:
wherein g i,k For channel state information between the i-th satellite and the kth eavesdropper,for estimated channel state information between the ith satellite and the kth eavesdropper, Δg i,k For an estimated error between the ith satellite and the kth eavesdropper, the obedience is 0 and the variance is E i,k Complex gaussian distribution of (a);
substituting an uncertainty model of the eavesdropper channel into the outage probability constraint condition and converting by using the Bernstein inequality can obtain:
s + (A)＝max{λ max (A)，0}
wherein Tr (·) is the trace of the matrix; vec (·) represents matrix vectorization.
Preferably, the method for solving the safe transmission problem model to obtain the beamforming weight vector includes the following steps:
the problem of maximizing the safety rate is converted into the problem of minimizing the transmitting power, and the problem of optimizing the transmitting power is further converted into the problem of optimizing the convex through a semi-positive relaxation method; solving the convex optimization problem to obtain a beam forming weight vector w i 。
Preferably, the safety rate maximization problem is converted into the transmission power minimization problem, and the safety rate maximization problem is further converted into the convex optimization problem by a semi-positive relaxation method, and the process comprises the following steps:
by introducing a relaxation variable mu i,k Relaxation variable lambda i,k The semi-positive programming problem can be obtained:
μ i，k I-A i，k ≥0
rank(W i )＝1，W i ≥0
wherein rank (·) represents the rank of the matrix, and I is the identity matrix.
Preferably, the convex optimization problem is solved to obtain a beam forming weight vector w i The process comprises the following steps:
solving to obtain the weight W of the beam forming matrix by a semi-definite relaxation principle and a binary search method i opt ；
Judgment of W i opt Whether the rank is 1; if the rank is 1, for W i opt The eigenvalue decomposition is carried out to solve the beam forming weight vector w i The method comprises the steps of carrying out a first treatment on the surface of the Otherwise, solving the beam forming weight vector w by using Gaussian randomization technology i 。
Compared with the prior art, the application has the beneficial effects that:
(1) According to the actual conditions of all satellites in the double-satellite communication system, solving a safe transmission problem model to obtain a beam forming weight vector; the user signals are multiplied by the beam forming weight vectors obtained in the space-time coding follow-up, and the multiplied user signals are sent to corresponding satellites and forwarded to ground users through the satellites, so that the safety and reliability of information transmission between legal users and the satellites are improved.
(2) In the application, with the maximum safe rate of a double-satellite communication system as a target, adding a satellite maximum transmitting power constraint condition, an interruption probability constraint condition and a transmission rate constraint condition of information transmission between a legal user and a satellite, and establishing a safe transmission problem model with a beam forming weight vector as a variable; and ensuring the communication quality of the double-satellite communication system through a safe transmission problem model.
(3) The uncertainty caused by imperfect information of the eavesdropper channel is introduced into a constraint condition of outage probability of information transmission between a legal user and a satellite; taking into account probability constraints under non-conservative strategies, seeking a maximum safe reachable rate under outage probability constraints, namely seeking a maximum confidentiality rate; the burden of the system can be reduced on the premise of ensuring the safety of the double-satellite communication system.
Drawings
FIG. 1 is a schematic diagram of a satellite communication system according to an embodiment of the present application;
fig. 2 is a flowchart of a secure transmission method for a dual-satellite communication system according to the present application.
Detailed Description
The application is further described below with reference to the accompanying drawings. The following examples are only for more clearly illustrating the technical aspects of the present application, and are not intended to limit the scope of the present application.
As shown in fig. 1-2, a secure transmission method for a dual satellite communication system includes:
acquiring perfect channel information of known legal users and imperfect channel information of eavesdroppers;
the method comprises the steps of taking the maximum safe rate of a double-satellite communication system as a target, adding a safe interruption probability constraint condition, a transmission rate constraint condition and a satellite maximum transmission power constraint condition of information transmission between a legal user and a satellite, and establishing a safe transmission problem model taking a beam forming weight vector as a variable;
the expression formula of the interrupt probability constraint condition is as follows:
wherein h is i Represented as satellite channels, w i Expressed as a beamforming weight vector, R expressed as a system safe rate threshold, p k,sop ∈(0,1]For the system outage probability threshold value,noise power, denoted as legal user received signal, ">Noise power expressed as a legitimate user received signal, (·) H Represented as a conjugate transpose operator.
The expression formula of the transmission rate constraint condition is as follows:
wherein R is min A transmission rate threshold value representing a legitimate user,
the expression formula of the satellite maximum transmitting power constraint condition is as follows:
||w i || 2 ≤P i，max
wherein P is i,max Representing the i-th satellite maximum transmit power threshold.
Taking uncertainty caused by imperfect information of an eavesdropper channel into consideration, and introducing a safety interruption probability constraint condition; the process comprises the following steps:
the uncertainty model of the kth eavesdropper channel is expressed as:
wherein g i,k For channel state information between the i-th satellite and the kth eavesdropper,for estimated channel state information between the ith satellite and the kth eavesdropper, Δg i,k For an estimated error between the ith satellite and the kth eavesdropper, the obedience is 0 and the variance is E i,k Complex gaussian distribution of (a);
substituting an uncertainty model of the eavesdropper channel into the outage probability constraint condition and converting by using the Bernstein inequality can obtain:
s + (A)＝max{λ max (A)，0}
probability constraint reduction is then as follows:
wherein Tr (·) is the trace of the matrix; vec (·) represents matrix vectorization. According to the actual condition of each satellite in the double-satellite communication system, solving the safe transmission problem model to obtain a beam forming weight vector, wherein the calculation process comprises the following steps:
the problem of maximizing the safety rate is converted into the problem of minimizing the transmitting power, and the problem of optimizing the transmitting power is further converted into the problem of optimizing the convex through a semi-positive relaxation method; solving the convex optimization problem to obtain a beam forming weight vector w i 。
The safety rate maximization problem is converted into the transmitting power minimization problem, and the transmitting power minimization problem is further converted into the convex optimization problem through a semi-positive relaxation method, and the process comprises the following steps of:
by introducing a relaxation variable mu i,k Relaxation variable lambda i,k The semi-positive programming problem can be obtained:
μ i，k I-A i，k ≥0
rank(W i )＝1，W i ≥0
wherein rank (·) represents the rank of the matrix, and I is the identity matrix.
Solving to obtain the weight W of the beam forming matrix by a semi-definite relaxation principle and a binary search method i opt The method comprises the steps of carrying out a first treatment on the surface of the Judgment of W i opt Whether the rank is 1; if the rank is 1, for W i opt The eigenvalue decomposition is carried out to solve the beam forming weight vector w i The method comprises the steps of carrying out a first treatment on the surface of the Otherwise, solving the beam forming weight vector w by using Gaussian randomization technology i 。
The user signals are multiplied by the beam forming weight vectors obtained in the space-time coding follow-up, the multiplied user signals are sent to respective satellites through high-capacity feed links, and the satellites transmit the signals to the ground legal users after adopting a satellite carrier beam forming technology, so that the whole information transmission process is completed.
It will be appreciated by those skilled in the art that embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems) and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
The foregoing is merely a preferred embodiment of the present application, and it should be noted that modifications and variations could be made by those skilled in the art without departing from the technical principles of the present application, and such modifications and variations should also be regarded as being within the scope of the application.
Claims (4)
1. A method for secure transmission for a dual satellite communication system, comprising:
acquiring perfect channel information of known legal users and imperfect channel information of eavesdroppers;
the method comprises the steps of taking the maximum safe rate of a double-satellite communication system as a target, adding a safe interruption probability constraint condition, a transmission rate constraint condition and a satellite maximum transmission power constraint condition of information transmission between a legal user and a satellite, and establishing a safe transmission problem model taking a beam forming weight vector as a variable;
the expression formula of the safe interrupt probability constraint condition is as follows:
wherein h is i Represented as satellite downlink channel vectors, w i Expressed as a beamforming weight vector, R expressed as a system safe rate threshold, p k,sop ∈(0,1]For the system outage probability threshold value,noise power, denoted as legal user received signal, ">Noise power expressed as the signal received by an eavesdropper, (·) H Represented as a conjugate transpose operator;
the expression formula of the transmission rate constraint condition is as follows:
wherein R is min A transmission rate threshold value representing a legitimate user;
the expression formula of the maximum transmitting power constraint condition is as follows:
||w i || 2 ≤P i，max
wherein P is i,max Representing an i-th satellite maximum transmit power threshold;
considering uncertainty caused by imperfect eavesdropper channel information, the process of introducing the safety interruption probability constraint condition comprises the following steps:
the uncertainty model of the kth eavesdropper channel is expressed as:
wherein g i,k Channel state information between the ith satellite and the kth eavesdropper;estimated channel state information between the ith satellite and the kth eavesdropper; Δg i,k For an estimated error between the ith satellite and the kth eavesdropper, the obedience is 0 and the variance is E i,k Is of standard deviation +.> A complex domain vector represented as dimension N x 1;
substituting the uncertain model of the eavesdropper channel into the outage probability constraint condition and then converting by using the Bernstein inequality to obtain the following steps:
s + (A)＝max{λ max (A),0}
wherein Tr (·) is the trace of the matrix; vec (·) represents matrix vectorization; lambda (lambda) max (A) Expressed as the maximum eigenvalue of matrix A, which takes on value A i,k ；
Solving a safe transmission problem model according to the actual conditions of all satellites in the double-satellite communication system to obtain a beam forming weight vector; the user signals are multiplied by the beam forming weight vector obtained before the space-time coding is carried out, and the multiplied beam forming weight vector is sent to the corresponding satellite and is forwarded to the ground user through the satellite.
2. The method for secure transmission in a dual-satellite communication system according to claim 1, wherein the solving the secure transmission problem model to obtain the beamforming weight vector comprises the following steps:
the problem of maximizing the safety rate is converted into the problem of minimizing the transmitting power, and the problem of optimizing the transmitting power is further converted into the problem of optimizing the convex through a semi-positive relaxation method; solving the convex optimization problem to obtain a beam forming weight vector w i 。
3. The method for secure transmission in a dual satellite communication system according to claim 2, wherein the secure rate maximization problem is converted into a transmit power minimization problem, and further converted into a convex optimization problem by a semi-positive relaxation method, the process comprising:
by introducing a relaxation variable mu i,k Relaxation variable lambda i,k The semi-positive programming problem can be obtained:
wherein rank (·) represents the rank of the matrix, and I is the identity matrix.
4. A method for secure transmission in a dual satellite communication system according to claim 3, wherein the beamforming weight vector w is obtained by solving a convex optimization problem i The process comprises the following steps:
solving to obtain beam forming matrix by semi-definite relaxation principle and binary search method
JudgingWhether the rank is 1; if the rank is 1, pair->The eigenvalue decomposition is carried out to solve the beam forming weight vector w i The method comprises the steps of carrying out a first treatment on the surface of the Whether or notThen the beamforming weight vector w is solved using gaussian randomization technique i 。
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