CN109921837A - A kind of robust ada- ptive beamformer method based on multicast frequency control battle array direction modulation - Google Patents
A kind of robust ada- ptive beamformer method based on multicast frequency control battle array direction modulation Download PDFInfo
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Abstract
The present invention provides a kind of robust ada- ptive beamformer methods based on multicast frequency control battle array direction modulation, introduce frequency control battle array direction modulation technique, by optimizing Wave beam forming vector, under conditions of meeting target legitimate user group, minimum sends available power signal, and non-targeted legitimate user group is made to can not receive the signal for being not belonging to it, in addition to this, in the certain situation of general power, minimum available signal power, it both can be by more power distributions to man made noise, increase Human disturbance on the position there may be listener-in again, avoid listener-in's tapped signal, to effective guarantee communication security.
Description
Technical Field
The invention relates to direction modulation of an antenna array, which is suitable for wireless safety communication by using a frequency control array combined with an artificial noise steady beam forming direction modulation synthesis method.
Background
Based on a multi-broadcast direction modulation system (as shown in fig. 1), there are several legal user groups, each of which has several legal users, and different information needs to be transmitted to the corresponding legal user group, and it is ensured that other legal user groups cannot receive information which does not belong to the group. In addition to this, it is also possible to prevent eavesdroppers on the confidential information from possibly being located.
The current phased array based directional modulation technology can realize directional secure communication, namely, the signal-to-noise ratio in the direction of a legal user is high, and the signal-to-noise ratio in other directions is low. However, if the eavesdropper and the legitimate user are in the same direction, secure communication cannot be achieved.
Disclosure of Invention
In order to overcome the defects of the prior art, the invention provides a frequency control array robustness optimization safe communication method based on a random frequency offset strategy, which enables a target legal user group to receive corresponding information by introducing a frequency control array technology, optimizing a beam forming technology and combining artificial noise, and meanwhile, other legal receiver groups cannot receive information which does not belong to the target legal user group. In addition, interference signals are added at the position of a possible eavesdropper, and the fact that the eavesdropper at the possible position cannot eavesdrop the confidential signals is guaranteed, so that the communication safety is effectively guaranteed.
The technical scheme adopted by the invention for solving the technical problem comprises the following steps:
(1) generating random frequency offset under the constraint of a preset frequency offset range;
(2) respectively calculating the guide matrixes of a target legal user group and a non-target legal user group according to the carrier frequency;
(3) singular value decomposition is carried out on the non-target legal user matrix to obtain a zero space of a non-target legal user group;
(4) obtaining an optimal beam forming vector under the minimum expected power constraint of a target legal user group and the zero space constraint of a non-target legal user group according to the target legal user group steering matrix;
(5) calculating the power for sending useful signals according to the obtained optimal beam forming vector, and distributing the rest power to artificial noise;
(6) calculating a legal user group guide matrix according to the positions of the legal user groups, and performing singular value decomposition on the legal user group guide matrix to obtain a null space of the legal user groups;
(7) calculating a guide matrix of the eavesdropper according to the possible position and the error of the eavesdropper, and calculating to obtain an artificial noise projection matrix by combining a null space of a legal user group; and further obtaining a baseband signal for sending the kth legal user group.
The step (1) generates random frequency deviation delta fnN is 0,1,. N-1, N is the number of source antennas.
The step (2) takes the kth legal user group as a target legal user group, wherein K is 0,1, …, K-1, and K is the total number of the legal user groups; calculating the frequency control array steering matrix of the target legal user group and the non-target legal user group,and Hl,-k＝[Hl,0,...,Hl,k-1,Hl,k+1,...,Hl,K-1]Wherein for signal attenuation, MkThe total number of valid users in the kth group,respectively showing the distance between the mth legal user in the kth legal user group and the information source antenna and the angle between the connecting line of the mth legal user and the information source antenna and the north direction, wherein the distance d between the array antennas is c/2 (f)0+ Δ F), c represents the electromagnetic wave propagation rate, the maximum frequency offset of each antenna is Δ F, and the signal reference carrier frequency is F0。
The step (3) is to decompose the singular value of the guiding matrix of the non-target legal user to obtain
The step (4) calculates the optimal beam forming vectorWherein,
the step (5) calculates the power for sending the useful signalThe power P allocated to the artificial noise is thenAN＝Ps-PuWherein P issIs the total power.
The step (6) calculates a guiding matrix H of the legal user groupl＝[Hl,0,Hl,1,...,Hl,K-1]Steering the legal user group to the singular value of the matrixDecomposing to obtain
The step (8) is to calculate an artificial noise projection matrixWhereinRepresenting and taking matrixThe feature vector corresponding to the largest feature value,re＝[re,0,re,1,...,re,I]and thetae＝[θe,0,θe,1,...,θe,I]Respectively representing the position vectors of the eavesdroppers, wherein the total number of the eavesdroppers is I; obtaining the baseband signal for sending the kth legal user group asWherein x iskRepresenting baseband information symbols, nANFor normalized artificial noise, satisfyz is a noise vector, satisfying a gaussian random distribution.
The invention has the beneficial effects that:
1. the invention provides a scheme of random frequency deviation, so that the directional modulation of the frequency control array has better decoupling effect;
2. the invention provides an optimized beam forming vector, so that under the condition of meeting the minimum expected power of a target legal user group, the target legal user group can be ensured to demodulate corresponding signals, and artificial interference is added aiming at the position where an eavesdropper possibly exists, so that the eavesdropping of confidential information is more difficult.
3. The invention combines artificial noise, minimizes useful signal transmitting power under the premise of a certain total power, and distributes more power to interference noise under the condition of not influencing a legal user group, so that an eavesdropper is difficult to demodulate information.
Drawings
FIG. 1 is a diagram of an eavesdropper and a group of legitimate users according to the present invention;
FIG. 2 is a schematic diagram of the wave velocity forming principle of the frequency control array of the present invention;
FIG. 3 shows an array 64 (Δ r) used in the present inventione,Δθe) Artificial noise profile (5,5 °).
Fig. 4 is a signal to interference and noise ratio distribution diagram of the present invention using an array 64.
Detailed Description
The present invention will be further described with reference to the following drawings and examples, which include, but are not limited to, the following examples.
The invention introduces the frequency control array direction modulation to realize wireless secret communication, and is widely applied to the direction modulation secret communication due to the two-dimensional dependence of the distance and the angle of the frequency control array. The introduction of artificial noise prevents a legal user from being influenced by the artificial noise, and the signal-to-interference-and-noise ratio of an eavesdropper is greatly reduced, so that the eavesdropper can hardly demodulate confidential information.
The technical scheme adopted by the invention comprises the following steps:
(1) setting initialization parameters;
(2) generating random frequency offset under the constraint of a preset frequency offset range;
(3) respectively calculating the guide matrixes of a target legal user group and a non-target legal user group according to the generated carrier frequency;
(4) decomposing the non-target legal user matrix by using singular value decomposition according to the non-target legal user guide matrix to obtain a zero space of a non-target legal user group;
(5) obtaining an optimal beam forming vector under the minimum expected power constraint of a target legal user group and the zero space constraint of a non-target legal user group according to the target legal user group steering matrix;
(6) and calculating the power for sending the useful signal according to the obtained optimal beam forming vector, and distributing the rest power to the artificial noise.
(7) Calculating a legal user group guide matrix according to the positions of the legal user groups, and decomposing singular values of the legal user group guide matrix to obtain a null space of the legal user groups;
(8) and calculating a guide matrix according to the possible position and the error of the eavesdropper, and calculating to obtain an artificial noise projection matrix by combining a null space of a legal user group. And obtaining a baseband signal for sending the kth legal user group.
Further, setting the initialization parameters includes: initialization parametersRespectively representing the distance between the mth legal user of the kth legal user group and the information source antenna and the angle between the connecting line of the mth legal user and the true north direction; r ise,i,θe,iRespectively representing the ith eavesdropper position vector, Δ re,i,Δθe,iIndicating an i-th eavesdropper position error; the number of the information source antennas is N; the maximum frequency offset of each antenna is delta F, and the signal reference carrier frequency is F0. According to the formula d ═ c/2 (f)0+ af) initializes the spacing between the array antennas, where c represents the electromagnetic wave propagation rate.
Further, the step (2) comprises the steps of:
generating a random frequency offset Δ f under bandwidth constraintsn,n＝0,1,...N-1。
Further, the step (3) includes the steps of:
let K be 0,1, …, K-1, where K is the total number of legitimate users. Calculating the frequency control array steering matrix of the target legal user group and the non-target legal user group,Hl,-k＝[Hl,0,...,Hl,k-1,Hl,k+1,...,Hl,K-1]. Wherein, for signal attenuation, MkThe total number of the k group legal users.
Further, the step (4) comprises the steps of:
singular value decomposition of non-target legal user guide matrix
Further, the step (5) includes the steps of:
computing optimal beamforming vectors
Wherein,
further, the step (6) includes the steps of:
(61) calculating useful signal power
(62) The total power is constant, and the power P distributed to the artificial noise is calculatedAN＝Ps-PuWherein P issIs the total power.
Further, the step (7) includes the steps of:
(71) calculating a legal user group steering matrix Hl＝[Hl,0,Hl,1,...,Hl,K-1]，
(72) Decomposing the singular value of the steering matrix of the legal user group to obtain
Further, the step (8) includes the steps of:
(81) computing artificial noise projection matricesWhereinRepresenting and taking matrixThe feature vector corresponding to the largest feature value,the indication is taken as to what is desired,re＝[re,0,re,1,...,re,I]and thetae＝[θe,0,θe,1,...,θe,I]Respectively representing the position vectors of the eavesdroppers, the total number of the eavesdroppers being I, MkIndicating the number of legal users in the kth legal user group.
(82) Obtaining the baseband signal for sending the kth legal user group asWherein x iskRepresenting baseband information symbols, nANFor normalized artificial noise, satisfyz is a noise vector satisfying a Gaussian random distribution, i.e.
The invention introduces a frequency control array direction modulation technology, and by optimizing a beam forming vector, under the condition of meeting a target legal user group, a signal with minimum useful power is sent, and a non-target legal user group cannot receive signals which do not belong to the target legal user group. As shown in fig. 2, an embodiment of the present invention provides a frequency control array directional modulation secure communication method based on a broadcasting system, including the steps of:
(1) setting initialization parameters;
initialization parametersRespectively representing the distance between the mth legal user of the kth legal user group and the information source antenna and the angle between the connecting line and the true north direction; r ise,i,θe,iRespectively representing the ith eavesdropper position, and Δ re,i,Δθe,iIndicating an i-th eavesdropper position error; initialThe number N of information source antennas is differentiated; the maximum frequency offset of each antenna is delta F, and the signal reference carrier frequency is F0. According to the formula d ═ c/2 (f)0+ af) initializes the spacing between the array antennas.
(2) Generating a random frequency offset Δ f under bandwidth constraintsn,n＝0,1,...N-1；
(3) Let K be 0,1, …, K-1, where K is the total number of legitimate users. Calculating the frequency control array wave beam vectors of a target legal user group and a non-target legal user group,Hl,-k＝[Hl,0,...,Hl,k-1,Hl,k+1,...,Hl,K-1]。
(4) singular value decomposition of non-target legal user guide matrix
(5) Computing optimal beamforming vectorsWherein,
(6) calculating useful signal powerCalculating the power P allocated to the artificial noiseAN＝Ps-Pu。
(7) Computing a legal user steering matrix Hl＝[Hl,0,Hl,1,...,Hl,K-1]And decomposing its singular values
(8) Calculating an expected eavesdropper steering matrix correlation matrixGetComputing matricesMaximum ofThe eigenvectors corresponding to the eigenvalues are artificial noise projection matrices, i.e.A noise vector z is randomly chosen. Computing normalized artificial noiseFinally, the baseband signal for sending the kth legal user group is obtained
The effects of the present invention can be further explained by the following simulation results.
The initialization parameter is set as a uniform linear array with the transmitting station array number N being 64, and K being 2, namely two legal user groups, wherein the first legal group has three legal users, the second legal user group has three users, and the positions of the users are respectively I-2, i.e. two eavesdroppers, their location (ar)e,0,Δθe,0) (1700,45 °) and (Δ r)e,1,Δθe,1)＝(2600-50 °). Total power of Ps30 dBm. One carrier frequency of fc1 GHz. And the minimum expected received power of the legitimate users is-90 dBm. The channel noise is-100 dBm. FIG. 3 shows an array 64 (Δ r) used in the present inventione,Δθe) Fig. 4 is a signal to interference plus noise ratio (sinr) profile using the array 64 of the present invention, which is an artificial noise profile of (5,5 °).
Claims (8)
1. A robust beam forming method based on multicast frequency control array direction modulation is characterized by comprising the following steps:
(1) generating random frequency offset under the constraint of a preset frequency offset range;
(2) respectively calculating the guide matrixes of a target legal user group and a non-target legal user group according to the carrier frequency;
(3) singular value decomposition is carried out on the non-target legal user matrix to obtain a zero space of a non-target legal user group;
(4) obtaining an optimal beam forming vector under the minimum expected power constraint of a target legal user group and the zero space constraint of a non-target legal user group according to the target legal user group steering matrix;
(5) calculating the power for sending useful signals according to the obtained optimal beam forming vector, and distributing the rest power to artificial noise;
(6) calculating a legal user group guide matrix according to the positions of the legal user groups, and performing singular value decomposition on the legal user group guide matrix to obtain a null space of the legal user groups;
(7) calculating a guide matrix of the eavesdropper according to the possible position and the error of the eavesdropper, and calculating to obtain an artificial noise projection matrix by combining a null space of a legal user group; and further obtaining a baseband signal for sending the kth legal user group.
2. The method according to claim 1, wherein the method comprises: the step (1) generates random frequency deviation delta fnN is 0,1,. N-1, N is the number of source antennas.
3. The method according to claim 1, wherein the method comprises: the step (2) takes the kth legal user group as a target legal user group, wherein K is 0,1, …, K-1, and K is the total number of the legal user groups; calculating the frequency control array steering matrix of the target legal user group and the non-target legal user group,and Hl,-k＝[Hl,0,...,Hl,k-1,Hl,k+1,...,Hl,K-1]Wherein for signal attenuation, MkThe total number of valid users in the kth group,respectively showing the distance between the mth legal user in the kth legal user group and the information source antenna and the angle between the connecting line of the mth legal user and the information source antenna and the north direction, wherein the distance d between the array antennas is c/2 (f)0+ Δ F), c represents the electromagnetic wave propagation rate, the maximum frequency offset of each antenna is Δ F, and the signal reference carrier frequency is F0。
4. The method according to claim 1, wherein the method comprises: the step (3) is to decompose the singular value of the guiding matrix of the non-target legal user to obtain
5. The method according to claim 1, wherein the method comprises: the step (4) calculates the optimal beam forming vectorWherein,
6. the method according to claim 1, wherein the method comprises: the step (5) calculates the power for sending the useful signalThe power P allocated to the artificial noise is thenAN＝Ps-PuWherein P issIs the total power.
7. According toThe method of claim 1 for robust beamforming based on multicast frequency-steering array directional modulation, wherein: the step (6) calculates a guiding matrix H of the legal user groupl＝[Hl,0,Hl,1,...,Hl,K-1]Decomposing the singular value of the steering matrix of the legal user group to obtain
8. The method according to claim 1, wherein the method comprises: the step (8) is to calculate an artificial noise projection matrixWhereinRepresenting and taking matrixThe feature vector corresponding to the largest feature value,re＝[re,0,re,1,...,re,I]and thetae＝[θe,0,θe,1,...,θe,I]Respectively representing the position vectors of the eavesdroppers, wherein the total number of the eavesdroppers is I; obtaining the baseband signal for sending the kth legal user group asWherein x iskRepresenting baseband information symbols, nANFor normalized artificial noise, satisfyz is a noise vector, satisfying a gaussian random distribution.
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