CN114070541B - Multi-user cooperative physical layer safe transmission method based on weighted fractional Fourier transform - Google Patents
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Abstract
A multi-user cooperative physical layer safe transmission method based on weighted fractional Fourier transform belongs to the technical field of secret communication. The invention solves the problem of low safety capacity of the conventional relay communication method. The invention can be used as a special form of artificial noise in a relay network to improve the safety capacity of a wireless communication system by the implementation of WFRFT. Through the design of the transmitting signals, the destination node can recover the received signals of the plurality of relay nodes, and meanwhile, mutual interference among the signals only affects an eavesdropper, so that the safety performance of the relay system is effectively improved. The invention can be applied to the field of secret communication.
Description
Technical Field
The invention belongs to the technical field of secret communication, and particularly relates to a multi-user cooperative physical layer safe transmission method based on weighted fractional Fourier transform.
Background
With the rapid development of communication technology in recent years, the reliability and effectiveness of wireless communication have been able to meet the needs of people in most situations. However, wireless communication technology brings convenience to the production and life of people, and the following security problems are also attracting attention. At present, the security performance of a communication system is ensured at a network layer mainly through a cryptography method, but the problems of difficult key distribution and management, easy violent cracking and the like exist. The physical layer security technology has gained wide attention by virtue of the characteristic that the physical layer security technology can utilize channel information to ensure the secure transmission of the information at the bottom layer. The cooperative communication can more fully utilize communication resources, and the connectivity and reliability of the system are effectively improved. The physical layer security technology is applied to the cooperative communication system, so that the communication resources can be utilized more effectively to improve the security performance of the cooperative communication system.
However, the security capacity of the conventional cooperative relay communication system is still low, and thus, it is necessary to study a method for improving the security capacity of the relay communication system.
Disclosure of Invention
The invention aims to solve the problem of low safety capacity of a communication method in the existing relay communication system, and provides a multi-user cooperative physical layer safety transmission method based on weighted fractional Fourier transform.
The technical scheme adopted by the invention for solving the technical problems is as follows:
a multi-user cooperative physical layer safe transmission method based on weighted fractional Fourier transform specifically comprises the following steps:
A1, a source node performs baseband mapping on 0 and 1 bit data generated by an information source to obtain a modulation result after the baseband mapping;
step A2, the source node adopts an artificial noise embedding method to carry out noise embedding on the modulation result obtained in the step A1, and a result after artificial noise embedding is obtained;
Step A3, the source node processes the result obtained in the step A2 after artificial noise embedding, and transmits the processed result to a channel;
step A4, N relay nodes in the relay resource pool The signals transmitted to the channels in the step A3 are received respectively, and the received signals are processed to obtain processed digital signals;
Step A5, selecting N relay nodes from the relay resource pool to meet the requirement The selected relay nodes form a relay resource pool/>
Wherein,The safety capacity between the source node and the relay node R i′ is represented, i' =1, 2, …, N, R 0 is the information transmission rate of the source node;
Step B1, relay resource pool Decoding the digital signals obtained in the step A4 by each relay node to obtain a relay resource pool/>, respectivelyA decoded message sequence x corresponding to each relay node in the network;
step B2, the relay resource pool obtained from step A5 A part of relay nodes are selected to form a cooperation combinationAnd combine the selected collaboration/>The relay node in (a) is denoted as D j, where j=0, 1,2, …, J-1, J is the cooperative combination/>The number of inner relay nodes;
step B3, cooperative combination Each relay node D j in the (B1) performs signal processing on the decoded message sequence x obtained in the step to obtain a processed signal corresponding to each relay node D j;
Step B4, each relay node D j sequentially performs digital-to-analog conversion and up-conversion on the signals obtained in the step B3, and each relay node D j transmits the respective signals to a channel;
Step B5, the destination node performs down-conversion processing and analog-to-digital conversion on the received signal transmitted to the channel in the step B4 to obtain a signal z;
Step B6, performing four-term weighted fractional Fourier transform with the transformation order of-4alpha M/J on the signal z obtained in the step B5 to obtain a transformation result;
and B7, performing baseband demapping on the conversion result obtained in the step B6 to recover 0 and 1 bit data.
Further, in the step A3, the result obtained in the step A2 after the artificial noise is embedded is processed in the following manner:
And sequentially performing digital-to-analog conversion and up-conversion on the result after artificial noise embedding.
Further, in the step A4, the received signal is processed in the following manner:
The received signal is subjected to down-conversion and analog/digital conversion in sequence.
Further, a secure capacity between the source node and the relay node R i′ The method comprises the following steps:
Wherein, [. Cndot. + =max (0,.), Representing the channel capacity between the source node and the relay node R i′, and C se represents the channel capacity between the source node and the eavesdropper.
Further, the channel capacity between the source node and the relay node R i′ The method comprises the following steps:
Where P 0 denotes the transmit power of the source node, Representing the channel coefficients between the source node and the relay node R i′,Is the variance of white noise.
Further, the channel capacity C se between the source node and the eavesdropper is:
where h se is the channel coefficient between the source node and the eavesdropper, For the channel coefficient between the relay node R i′ and the eavesdropper, P i′ represents the transmission power of the interference signal of the relay node R i′.
Further, the specific process of the step B3 is as follows:
Wherein y j is the processed signal corresponding to relay node D j, lambda j is the signal pre-equalization factor of relay node D j, A j(αM) is the transform coefficient corresponding to the J-th item of the polynomial weighted fractional Fourier transform with the J-th item, And the result obtained by performing four-term weighted fractional Fourier transform with the transformation order of 4J/J on the sequence x is shown.
Further, the signal pre-equalization factor λ j of the relay node D j is:
Wherein, Represents the channel coefficient between the relay node D j and the destination node, (·) * represents the pair/>And taking conjugation.
Further, the transform coefficient a j(αM) corresponding to the J th term of the polynomial weighted fractional fourier transform with J terms is:
where i represents an imaginary unit and α M is a transform coefficient of M term weighted fractional fourier transform.
Still further, the method has a safety capacity C sec of:
Csec＝[Crd-Cre]+
Wherein C rd represents a cooperative combination The achievable channel capacity to the destination node, C re, represents the achievable rate of the eavesdropper;
Wherein, P 0' is the transmitting power of each relay node;
Wherein, Representing the equivalent signal-to-interference-and-noise ratio of the relay node D j at the eavesdropper;
Wherein, Representing the channel coefficient between the relay node D j and the eavesdropper,/>Beta is WFRFT transform coefficient used by eavesdroppers in decoding the received signal,/>
The beneficial effects of the invention are as follows:
The invention provides a multi-user cooperation physical layer safe transmission method based on weighted fractional Fourier transform, which can be used as a special form of artificial noise to improve the safe capacity of a wireless communication system through the implementation of WFRFT in a relay network. Through the design of the transmitting signals, the destination node can recover the received signals of the plurality of relay nodes, and meanwhile, mutual interference among the signals only affects an eavesdropper, so that the safety performance of the relay system is effectively improved.
Drawings
FIG. 1 is a diagram of a system model of the "data broadcast" phase of the present invention;
FIG. 2 is a diagram of a system model of the "user collaboration" phase of the present invention;
FIG. 3 is an overall flow chart of the signal transmission of the present invention;
fig. 4 is a schematic diagram of a process flow of transmitting signals by a source node in a data broadcasting stage according to the present invention;
Fig. 5 is a schematic flow chart of processing a transmission signal by a relay node in a "user cooperation" phase cooperation combination according to the present invention;
Fig. 6 is a schematic flow chart of processing a received signal by a destination node in the "user collaboration" stage of the present invention.
Detailed Description
Detailed description of the inventionthe present embodiment is described with reference to fig. 1, 2, 3, 4, 5, and 6. The method for safely transmitting the multi-user cooperative physical layer based on the weighted fractional Fourier transform specifically comprises the following steps:
the encryption method of the data broadcasting phase signal comprises the following steps:
A1, a source node performs baseband mapping on 0 and 1 bit data generated by an information source to obtain a modulation result after the baseband mapping;
Step A2, the source node adopts a relatively mature artificial noise embedding method to carry out noise embedding on the modulation result obtained in the step A1, and a result after artificial noise embedding is obtained;
Step A3, the source node processes the result obtained in the step A2 after artificial noise embedding, and transmits the processed result to a channel;
step A4, N relay nodes in the relay resource pool The signals transmitted to the channels in the step A3 are received respectively, and the received signals are processed to obtain processed digital signals;
After transmitting the signals to the channel in the step A3, each relay node in the relay resource pool receives the signals from the channel, and each relay node processes the signals received from the channel;
Step A5, selecting N relay nodes from the relay resource pool in a polling mode to meet the requirement The selected relay nodes form a relay resource pool/>
Wherein,The safety capacity between the source node and the relay node R i′ is represented, i' =1, 2, …, N, R 0 is the information transmission rate of the source node;
the signal encryption method in the 'user cooperation' stage comprises the following steps:
Step B1, relay resource pool Decoding the digital signals obtained in the step A4 by each relay node to obtain a relay resource pool/>, respectivelyA decoded message sequence x corresponding to each relay node in the network;
step B2, the relay resource pool obtained from step A5 A part of relay nodes are selected to form a cooperative combination/> And combine the selected collaboration/>The relay node in (C) is denoted as D j/>Wherein j=0, 1,2, …, J-1, J is the cooperative combination/>The number of inner relay nodes;
step B3, cooperative combination Each relay node D j in the (B1) performs signal processing on the decoded message sequence x obtained in the step to obtain a processed signal corresponding to each relay node D j;
Step B4, each relay node D j sequentially performs digital-to-analog conversion and up-conversion on the signals obtained in the step B3, and each relay node D j transmits the respective signals to a channel;
After the step B3, the processed signals corresponding to each relay node D j are obtained respectively, and each relay node processes (digital-to-analog conversion and up-conversion) the processed signals corresponding to each relay node in the step B3, that is, the operation of the step B4, and each relay node transmits the processing result of each relay node in the step B4 to a channel;
Step B5, the destination node performs down-conversion processing and analog-to-digital conversion on the received signal transmitted to the channel in the step B4 to obtain a signal z;
Step B6, performing four-term weighted fractional Fourier transform with the transformation order of-4alpha M/J on the signal z obtained in the step B5 to obtain a transformation result;
and B7, performing baseband demapping on the conversion result obtained in the step B6 to recover 0 and 1 bit data.
The fractional fourier transform is a novel mathematical tool combining time-frequency domains, and four weighted fractional fourier transforms are applied to a communication system by the existing scholars, including resisting channel fading and improving the safety performance of the system. The multiple weighted fractional fourier transform uses the four weighted fractional fourier transforms as a kernel function and can be considered as a regenerative transform of the four weighted fractional fourier transforms.
The definition of the four weighted fractional fourier transforms is:
Wherein the method comprises the steps of
Alpha represents the transformation coefficients of the four-term weighted fractional Fourier transform; x 1、X2 and X 3 are the results obtained by 1 to 3 DFT of the sequence X 0, respectively. The energy normalized DFT definition is in the form of:
the multiple weighted fractional fourier transform with M terms is called M term weighted fractional fourier transform, specifically defined as:
Wherein the method comprises the steps of
Alpha M is the transform coefficient of the M term weighted fractional fourier transform.
The invention provides a multi-user cooperative physical layer safe transmission method based on weighted fractional Fourier transform. In the method of the invention, the implementation of WFRFT in a relay network can be used as a special form of artificial noise to improve the security capacity of a wireless communication system. Firstly, a source node sends data to a plurality of selected trusted relay nodes through data broadcasting; then, in the 'user cooperation' stage, selecting the optimal combination mode of the relay nodes, and forwarding the designed four weighted fractional Fourier transform signals through each selected node; and finally, demodulating the received signal with the multiple fractional Fourier transform characteristics by the destination node, and recovering the message signal. The method effectively enhances the safety performance of the relay system.
The second embodiment is as follows: in the first embodiment, the step A3 is different from the specific embodiment in that the artificial noise embedding result obtained in the step A2 is processed in the following manner:
And sequentially performing digital-to-analog conversion and up-conversion on the result after artificial noise embedding.
Other steps and parameters are the same as in the first embodiment.
And a third specific embodiment: the difference between this embodiment and the first or second embodiment is that, in the step A4, the received signal is processed in the following manner:
The received signal is subjected to down-conversion and analog/digital conversion in sequence.
Other steps and parameters are the same as in the first or second embodiment.
The specific embodiment IV is as follows: this embodiment differs from one to three embodiments in that the secure capacity between the source node and the relay node R i′ The method comprises the following steps:
Wherein, [. Cndot. + =max (0,.), Representing the channel capacity between the source node and the relay node R i′, and C se represents the channel capacity between the source node and the eavesdropper.
Other steps and parameters are the same as in one to three embodiments.
Fifth embodiment: the present embodiment differs from the specific embodiment by one to four in that the channel capacity between the source node and the relay node R i′ The method comprises the following steps:
Where P 0 denotes the transmit power of the source node, Representing the channel coefficients between the source node and the relay node R i′,Is the variance of white noise.
Other steps and parameters are the same as in one to four embodiments.
Specific embodiment six: this embodiment differs from one to fifth embodiments in that the channel capacity C se between the source node and the eavesdropper is:
where h se is the channel coefficient between the source node and the eavesdropper, For the channel coefficient between the relay node R i′ and the eavesdropper, P i′ represents the transmission power of the interference signal of the relay node R i′.
Other steps and parameters are the same as in one of the first to fifth embodiments.
Seventh embodiment: the difference between this embodiment and one to six embodiments is that the specific process of step B3 is:
Wherein y j is the processed signal corresponding to relay node D j, lambda j is the signal pre-equalization factor of relay node D j, A j(αM) is the transform coefficient corresponding to the J-th item of the polynomial weighted fractional Fourier transform with the J-th item, And the result obtained by performing four-term weighted fractional Fourier transform with the transformation order of 4J/J on the sequence x is shown.
Other steps and parameters are the same as in one of the first to sixth embodiments.
Eighth embodiment: the difference between this embodiment and one of the first to seventh embodiments is that the signal pre-equalization factor λ j of the relay node D j is:
Wherein, Represents the channel coefficient between the relay node D j and the destination node, (·) * represents the pair/>And taking conjugation.
Other steps and parameters are the same as those of one of the first to seventh embodiments.
Detailed description nine: the difference between this embodiment and one to eight embodiments is that the transform coefficient a j(αM) corresponding to the J th term of the polynomial weighted fractional fourier transform with J terms is:
where i represents an imaginary unit and α M is a transform coefficient of M term weighted fractional fourier transform.
Other steps and parameters are the same as in one to eight of the embodiments.
Detailed description ten: this embodiment differs from one of the embodiments one to nine in that the safety capacity C sec of the method is:
Csec＝[Crd-Cre]+
Wherein C rd represents a cooperative combination The achievable channel capacity to the destination node, C re, represents the achievable rate of the eavesdropper;
Wherein, P 0' is the transmitting power of each relay node;
Wherein, Representing the equivalent signal-to-interference-and-noise ratio of the relay node D j at the eavesdropper;
Wherein, Representing the channel coefficient between the relay node D j and the eavesdropper,/>Beta is WFRFT transform coefficient used by eavesdroppers in decoding the received signal,/>
Other steps and parameters are the same as in one of the first to ninth embodiments.
The above examples of the present invention are only for describing the calculation model and calculation flow of the present invention in detail, and are not limiting of the embodiments of the present invention. Other variations and modifications of the above description will be apparent to those of ordinary skill in the art, and it is not intended to be exhaustive of all embodiments, all of which are within the scope of the invention.
Claims (7)
1. The multi-user cooperative physical layer safe transmission method based on weighted fractional Fourier transform is characterized by comprising the following steps of:
A1, a source node performs baseband mapping on 0 and 1 bit data generated by an information source to obtain a modulation result after the baseband mapping;
step A2, the source node adopts an artificial noise embedding method to carry out noise embedding on the modulation result obtained in the step A1, and a result after artificial noise embedding is obtained;
Step A3, the source node processes the result obtained in the step A2 after artificial noise embedding, and transmits the processed result to a channel;
step A4, N relay nodes in the relay resource pool The signals transmitted to the channels in the step A3 are received respectively, and the received signals are processed to obtain processed digital signals;
Step A5, selecting N relay nodes from the relay resource pool to meet the requirement The selected relay nodes form a relay resource pool/>
Wherein,The safety capacity between the source node and the relay node R i′ is represented, i' =1, 2, …, N, R 0 is the information transmission rate of the source node;
secure capacity between the source node and the relay node R i′ The method comprises the following steps:
Wherein, [. Cndot. + =max (0,.), Representing the channel capacity between the source node and the relay node R i′, C se representing the channel capacity between the source node and the eavesdropper;
Channel capacity between source node and relay node R i′ The method comprises the following steps:
Where P 0 denotes the transmit power of the source node, Representing the channel coefficient between the source node and the relay node R i′,/>Is the variance of white noise;
the channel capacity C se between the source node and the eavesdropper is:
where h se is the channel coefficient between the source node and the eavesdropper, For the channel coefficient between the relay node R i′ and the eavesdropper, P i′ represents the transmission power of the interference signal of the relay node R i′;
Step B1, relay resource pool Decoding the digital signals obtained in the step A4 by each relay node to obtain a relay resource pool/>, respectivelyA decoded message sequence x corresponding to each relay node in the network;
step B2, the relay resource pool obtained from step A5 A part of relay nodes are selected to form a cooperative combination/>And combine the selected collaboration/>The relay node in (a) is denoted as D j, where j=0, 1,2, …, J-1, J is the cooperative combination/>The number of inner relay nodes;
step B3, cooperative combination Each relay node D j in the (B1) performs signal processing on the decoded message sequence x obtained in the step to obtain a processed signal corresponding to each relay node D j;
Step B4, each relay node D j sequentially performs digital-to-analog conversion and up-conversion on the signals obtained in the step B3, and each relay node D j transmits the respective signals to a channel;
Step B5, the destination node performs down-conversion processing and analog-to-digital conversion on the received signal transmitted to the channel in the step B4 to obtain a signal z;
Step B6, performing four-term weighted fractional Fourier transform with the transformation order of-4alpha M/J on the signal z obtained in the step B5 to obtain a transformation result;
and B7, performing baseband demapping on the conversion result obtained in the step B6 to recover 0 and 1 bit data.
2. The method for secure transmission of multi-user cooperative physical layer based on weighted fractional fourier transform according to claim 1, wherein in the step A3, the result obtained after artificial noise embedding in the step A2 is processed in the following manner:
And sequentially performing digital-to-analog conversion and up-conversion on the result after artificial noise embedding.
3. The method for secure transmission of multi-user cooperative physical layer based on weighted fractional fourier transform according to claim 2, wherein in the step A4, the received signal is processed in the following manner:
The received signal is subjected to down-conversion and analog/digital conversion in sequence.
4. The method for secure transmission of multi-user cooperative physical layer based on weighted fractional fourier transform according to claim 3, wherein the specific process of step B3 is as follows:
Wherein y j is the processed signal corresponding to relay node D j, lambda j is the signal pre-equalization factor of relay node D j, A j(αM) is the transform coefficient corresponding to the J-th item of the polynomial weighted fractional Fourier transform with the J-th item, And the result obtained by performing four-term weighted fractional Fourier transform with the transformation order of 4J/J on the sequence x is shown.
5. The method for secure transmission of multi-user cooperative physical layer based on weighted fractional fourier transform according to claim 4, wherein the signal pre-equalization factor λ j of the relay node D j is:
Wherein, Represents the channel coefficient between the relay node D j and the destination node, (·) * represents the pair/>And taking conjugation.
6. The multi-user cooperative physical layer security transmission method based on weighted fractional fourier transform according to claim 5, wherein the transform coefficient a j(αM) corresponding to the J th term of the multi-term weighted fractional fourier transform with J terms is:
where i represents an imaginary unit and α M is a transform coefficient of M term weighted fractional fourier transform.
7. The method for secure transmission of multi-user cooperative physical layer based on weighted fractional fourier transform according to claim 6, wherein the secure capacity C sec of the method is:
Csec＝[Crd-Cre]+
Wherein C rd represents a cooperative combination The achievable channel capacity to the destination node, C re, represents the achievable rate of the eavesdropper;
Wherein, P 0' is the transmitting power of each relay node;
Wherein, Representing the equivalent signal-to-interference-and-noise ratio of the relay node D j at the eavesdropper;
Wherein, Representing the channel coefficient between the relay node D j and the eavesdropper,/>Beta is WFRFT transform coefficient used by eavesdroppers in decoding the received signal,/>
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