CN112305514A - Radar embedded communication method and system - Google Patents

Radar embedded communication method and system Download PDF

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Publication number
CN112305514A
CN112305514A CN202011091499.3A CN202011091499A CN112305514A CN 112305514 A CN112305514 A CN 112305514A CN 202011091499 A CN202011091499 A CN 202011091499A CN 112305514 A CN112305514 A CN 112305514A
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radar
communication
signal
stop band
waveform
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麦超云
刘子明
黄传好
秦传波
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Wuyi University
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Wuyi University
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/41—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00 using analysis of echo signal for target characterisation; Target signature; Target cross-section
    • G01S7/414—Discriminating targets with respect to background clutter
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/023—Interference mitigation, e.g. reducing or avoiding non-intentional interference with other HF-transmitters, base station transmitters for mobile communication or other radar systems, e.g. using electro-magnetic interference [EMI] reduction techniques
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/36—Means for anti-jamming, e.g. ECCM, i.e. electronic counter-counter measures
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/41—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00 using analysis of echo signal for target characterisation; Target signature; Target cross-section
    • G01S7/411—Identification of targets based on measurements of radar reflectivity
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/41—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00 using analysis of echo signal for target characterisation; Target signature; Target cross-section
    • G01S7/418—Theoretical aspects
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006—Arrangements for removing intersymbol interference

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Power Engineering (AREA)
  • Signal Processing (AREA)
  • Radar Systems Or Details Thereof (AREA)

Abstract

The invention discloses a radar embedded communication method and a system, wherein the method comprises the steps of establishing a target function at a radar end by adopting a power spectrum matching method, solving the target function by using a quasi-Newton method to obtain a discrete stop band constraint waveform, and transmitting the discrete stop band constraint waveform; at the tag end, modulating a discrete stop band constraint waveform and embedding communication information to be transmitted to obtain a communication signal, obtaining a radar receiving signal according to the communication signal and a radar scattering echo, and transmitting the radar receiving signal; the method can avoid the interference of the same frequency signals, improve the frequency band utilization rate and the communication information number of the communication signals, and realize low error rate and low interception rate of communication under the condition of keeping the radar detection performance.

Description

Radar embedded communication method and system
Technical Field
The invention relates to the field of radar communication, in particular to a radar embedded communication method and a radar embedded communication system.
Background
Radar Embedded Communication (REC) is to embed a small amount of Communication information into a Radar waveform to realize active Communication between a Radar response tag and a Radar. The radar embedded communication realizes the covert communication between friend devices by taking radar echo as a carrier of communication signals. The increasingly widespread use of radar, communication and navigation systems in society has led to the scarcity of spectrum resources, which has made radar and communication systems operate in the same frequency band. The coexistence of frequency spectrums brings the problem of mutual interference among signals, so that the performance of radar embedded communication is reduced, and the interference conditions are more.
Disclosure of Invention
The present invention is directed to at least one of the technical problems of the prior art, and provides a radar embedded communication method and system.
The technical scheme adopted by the invention for solving the problems is as follows:
in a first aspect of the present invention, a radar-embedded communication method performed by a first communication device communicating with a second communication device, includes:
obtaining a target function of a discrete stop band constrained waveform sequence by a power spectrum matching method according to the ideal power spectrum;
solving an objective function of the discrete stop band constrained waveform sequence to obtain a discrete stop band constrained waveform;
transmitting a radar signal corresponding to the discrete stop band constraint waveform;
and receiving a radar receiving signal transmitted by the second communication device, wherein the radar receiving signal is obtained by the second communication device receiving the radar signal, modulating the discrete stop band constraint waveform and embedding communication information to be transmitted to obtain a communication signal, and obtaining the communication signal according to the communication signal and a radar scattering echo.
According to the first aspect of the present invention, the objective function of the discrete stop band constraint waveform sequence is:
Figure BDA0002722231170000021
in the formula
Figure BDA0002722231170000022
For ideal power spectra, s is the dispersion to be obtainedStop band constraint waveform, Θ ═ θ1,θ2,…,θN]A is a discrete Fourier transform matrix for the phase vector of the discrete stop band constrained waveform to be obtained.
According to the first aspect of the present invention, solving an objective function of the discrete stop band constraint waveform sequence comprises: and solving an objective function of the discrete stop band constraint waveform sequence by using a quasi-Newton method.
In a second aspect of the present invention, a radar-embedded communication method performed by a second communication device that communicates with a first communication device, includes the steps of:
receiving the radar signal transmitted by the first communication device, wherein the radar signal is obtained by the first communication device according to an ideal power spectrum through a target function of a discrete stop band constraint waveform sequence obtained by a power spectrum matching method, solving the target function of the discrete stop band constraint waveform sequence to obtain a discrete stop band constraint waveform corresponding to the discrete stop band constraint waveform;
modulating the discrete stop band constraint waveform and embedding communication information to be transmitted to obtain a communication signal;
obtaining a radar receiving signal according to the communication signal and the radar scattering echo;
and transmitting the radar receiving signal.
According to the second aspect of the present invention, the modulating the discrete stop band constraint waveform and embedding the communication information to be transmitted to obtain the communication signal specifically includes the following steps:
converting the discrete stop band constraint waveform into a Topritz matrix;
performing eigenvalue decomposition on the Topritz matrix to obtain N eigenvalues and N eigenvectors, wherein the eigenvectors correspond to the eigenvalues one by one;
sorting the N eigenvalues, and forming a matrix V by the (N-L) eigenvectors corresponding to the (N-L) minimum eigenvaluessWherein L is a constant value jointly determined by the radar response tag and the radar receiver;
according to matrix VsObtaining k combined matrix with Vs＝[v11 v2 … vN-L]，v1，v2，…，vN-LIs a matrix VsThe k combined matrices are respectively expressed as:
Figure BDA0002722231170000031
k is the number of communication information;
deriving a communication signal from the combining matrix, the communication signal being represented as:
Figure BDA0002722231170000032
wherein b is1、b2…bkIs a pseudorandom Nx1 vector.
According to a second aspect of the invention, the radar reception signal is yr(t)＝αkck(t)+ys(t) + n (t), where n (t) is system noise, ys(t) is the radar scattered echo, αkFor losses to said communication signal, ck(t) is the communication signal.
In a third aspect of the present invention, a radar embedded communication system includes a first communication device and a second communication device that communicate with each other;
the first communication device includes:
the waveform calculation module is used for obtaining an objective function of the discrete stop band constraint waveform sequence through a power spectrum matching method according to the ideal power spectrum, solving the objective function of the discrete stop band constraint waveform sequence and obtaining a discrete stop band constraint waveform close to the ideal power spectrum density;
the radar is connected with the waveform computing module and used for transmitting radar signals corresponding to the discrete stop band constraint waveforms;
a radar receiver for receiving the radar reception signal;
the second communication device includes:
a signal receiver for receiving the radar signal transmitted by the radar;
the signal calculation module is connected with the signal receiver and used for modulating the discrete stop band constraint waveform and embedding communication information to be transmitted to obtain a communication signal and obtaining a radar receiving signal according to the communication signal and a radar scattering echo;
and the radar response tag is connected with the signal calculation module and is used for transmitting the radar receiving signal.
According to a third aspect of the invention, the objective function of the discrete stop band constraint waveform sequence is:
Figure BDA0002722231170000041
in the formula
Figure BDA0002722231170000042
For an ideal power spectrum, s is the discrete stop band constraint waveform to be obtained, and θ ═ θ1,θ2,…,θN]A is a discrete Fourier transform matrix for the phase vector of the discrete stop band constrained waveform to be obtained.
According to a third aspect of the invention, the signal calculation module is configured to perform the following steps to obtain the communication signal:
converting the discrete stop band constraint waveform into a Topritz matrix;
performing eigenvalue decomposition on the Topritz matrix to obtain N eigenvalues and N eigenvectors, wherein the eigenvectors correspond to the eigenvalues one by one;
sorting the N eigenvalues, and forming a matrix V by the (N-L) eigenvectors corresponding to the (N-L) minimum eigenvaluessWherein L is a constant value jointly determined by the radar response tag and the radar receiver;
according to matrix VsObtaining k combined matrix with Vs＝[v1 v2 … vN-L]，v1，v2，…，vN-LIs a matrix VsThe k combined matrices are respectively expressed as:
Figure BDA0002722231170000051
k is the number of communication information;
deriving a communication signal from the combining matrix, the communication signal being represented as:
Figure BDA0002722231170000052
wherein b is1、b2…bkIs a pseudorandom Nx1 vector.
According to a third aspect of the invention, the radar reception signal is yr(t)＝αkck(t)+ys(t) + n (t), where n (t) is system noise, ys(t) is the radar scattered echo, αkFor losses to said communication signal, ck(t) is the communication signal.
The scheme at least has the following beneficial effects: the radar embedded communication method and the radar embedded communication system utilize the discrete stop band constraint waveform for communication, and the discrete stop band constraint waveform is a waveform with a plurality of discontinuous frequency stop bands and has the advantages of interference suppression and detection performance improvement. The radar embedded communication method and the radar embedded communication system are used for communication, so that the same frequency signal interference can be avoided, the frequency band utilization rate and the communication information number of communication signals are improved, and the low error rate and the low interception rate of communication are realized under the condition of keeping the detection performance of the radar.
Additional aspects and advantages of the invention will be set forth in part in the description which follows and, in part, will be obvious from the description, or may be learned by practice of the invention.
Drawings
The invention is further illustrated with reference to the following figures and examples.
FIG. 1 is a flow chart of a radar embedded communication method according to an embodiment of the present invention;
FIG. 2 is an architecture diagram of a radar-embedded communication system according to an embodiment of the present invention;
FIG. 3 is a power spectral density plot of a discrete stopband constraint waveform;
fig. 4 is a power spectral density map of a communication signal resulting from embedding communication information;
FIG. 5 is a normalized autocorrelation function before a radar waveform is added to a communication signal;
FIG. 6 is a normalized autocorrelation function of a radar waveform after addition to a communication signal;
fig. 7 is an analysis diagram of an interceptive analysis of a communication waveform.
Detailed Description
Reference will now be made in detail to the present preferred embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like reference numerals refer to like elements throughout.
In the description of the present invention, it should be understood that the orientation or positional relationship referred to in the description of the orientation, such as the upper, lower, front, rear, left, right, etc., is based on the orientation or positional relationship shown in the drawings, and is only for convenience of description and simplification of description, and does not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and thus, should not be construed as limiting the present invention.
In the description of the present invention, the meaning of a plurality of means is one or more, the meaning of a plurality of means is two or more, and larger, smaller, larger, etc. are understood as excluding the number, and larger, smaller, inner, etc. are understood as including the number. If the first and second are described for the purpose of distinguishing technical features, they are not to be understood as indicating or implying relative importance or implicitly indicating the number of technical features indicated or implicitly indicating the precedence of the technical features indicated.
In the description of the present invention, unless otherwise explicitly limited, terms such as arrangement, installation, connection and the like should be understood in a broad sense, and those skilled in the art can reasonably determine the specific meanings of the above terms in the present invention in combination with the specific contents of the technical solutions.
Referring to fig. 1, one embodiment of the present invention provides a radar embedded communication method. The radar embedded communication method comprises the following steps:
the first communication device 71 performs step S100, step S200, and step S300;
s100, obtaining a target function of a discrete stop band constraint waveform sequence by a power spectrum matching method according to an ideal power spectrum;
step S200, solving an objective function of the discrete stop band constrained waveform sequence to obtain a discrete stop band constrained waveform close to the ideal power spectral density;
step S300, transmitting a radar signal corresponding to the discrete stop band constraint waveform through the radar 20;
the second communication device 72 performs step S400, step S500, step S600 and step S700;
step S400, receiving a radar signal;
s500, modulating a discrete stop band constraint waveform and embedding communication information to be transmitted to obtain a communication signal;
s600, obtaining a radar receiving signal according to the communication signal and the radar scattering echo;
step S700 of transmitting a radar reception signal through the radar response tag 50;
the first communication device 71 performs step S800;
step S800 receives the radar reception signal by the radar receiver 60.
In this embodiment, the radar-embedded communication method utilizes a discrete stopband constraint waveform for communication, where the discrete stopband constraint waveform is a waveform with multiple discontinuous frequency stopbands, and has the advantages of suppressing interference and improving detection performance. The radar embedded communication method is used for communication, so that the same frequency signal interference can be avoided, the frequency band utilization rate and the communication information number of communication signals are improved, and the low error rate and the low interception rate of communication are realized under the condition of keeping the detection performance of the radar 20.
Further, in step S100, an objective function of the discrete stop band constraint waveform sequence is obtained by a power spectrum matching method according to the ideal power spectrum, which is an ideal power spectrum
Figure BDA0002722231170000081
Is suitable for the environment of external electromagnetic wave,
Figure BDA0002722231170000082
corresponds to a frequency band that may affect the radar-embedded communication system.
The objective function of the discrete stop band constraint waveform sequence is:
Figure BDA0002722231170000083
in the formula
Figure BDA0002722231170000084
For an ideal power spectrum, s is the discrete stop band constraint waveform to be obtained, and θ ═ θ1,θ2,…,θN]A is a discrete Fourier transform matrix for the phase vector of the discrete stop band constrained waveform to be obtained. The elements in A are represented as Amn＝exp(-2πnmi/N)，(·)*Representing the conjugate transformation of the matrix.
Further, in step S200, an objective function of the discrete stop band constraint waveform sequence is solved by using a quasi-newton method.
The solving process is as follows:
step S210, initialize theta0And a minimum value ε, k is 0, S0Using as I
Figure BDA0002722231170000091
Calculate g0；
Step S220, order dk＝-SkgkCalculating f (theta)k+αkdk) And a linear search method is applied to find the step length alpha which can make the step length alpha minimumkAnd make deltak＝αkdkAnd thetak+1＝Θk+δk；
Step S230, if | | deltakIf | | < epsilon, the iteration is ended and the result theta is outputoptim＝Θk+1(ii) a If | | | δkIf | | > is equal to epsilon, then step S240 is executed;
step S240, calculating gk+1Let gamma bek＝gk+1-gkCalculating
Figure BDA0002722231170000092
Let k be k +1, return to step S220.
Determining a proper minimum value epsilon, and obtaining an ideal power spectrum by using the quasi-Newton method
Figure BDA0002722231170000093
The close discrete stop band constrains the waveform s.
In step S300, a radar signal corresponding to the discrete stop band constraint waveform obtained in step S200 is transmitted by the radar 20. In addition, the radar signal emitted by the radar 20 may be reflected by an object and form a radar scattered echo.
In step S400, a radar signal transmitted by the radar 20 is received by the signal receiver 30.
Further, in step S500, modulating the discrete stop band constraint waveform and embedding the communication information to be transmitted to obtain the communication signal specifically includes the following steps:
converting the discrete stop-band constraint waveform into Toeplitz matrix, and expressing the discrete stop-band constraint waveform as s ═ s1 s2... sN]TThen the Topritz matrix S of N × (2N-1) can be expressed as
Figure BDA0002722231170000101
Performing eigenvalue decomposition on the Topritz matrix to obtain N eigenvalues lambda0,λ1,...,λN-1And N feature vectors v0,v1,...,vN-1And the eigenvectors correspond to the eigenvalues one to one;
sorting N eigenvalues and decomposing the eigenvalues into
Figure BDA0002722231170000102
Wherein S is Toplitz matrix, Λ is diagonal matrix containing N eigenvalues, and VmIs a matrix formed by L eigenvectors corresponding to the L maximum eigenvalues, VsIs a matrix formed by (N-L) eigenvectors corresponding to (N-L) minimum eigenvaluesmIs a VmCorresponding characteristic value, ΛsIs a VsThe corresponding characteristic value; forming a matrix V by (N-L) eigenvectors corresponding to the (N-L) minimum eigenvaluessWhere L is a constant value determined by both the radar response tag 50 and the radar receiver 60;
according to matrix VsObtaining k combined matrix with Vs＝[v1 v2 … vN-L]，v1，v2，…，vN-LIs a matrix VsThe k combined matrices are respectively expressed as:
Figure BDA0002722231170000103
k is the number of communication information;
deriving a communication signal from the combining matrix, the communication signal being represented as:
Figure BDA0002722231170000111
wherein b is1、b2…bkIs a pseudorandom Nx1 vector.
The communication signal obtained through step S500 has characteristics of a low error rate and a low interception rate.
In step S600, a radar receiving signal is obtained according to the communication signal and the radar scattering echo; radar received signal yr(t)＝αkck(t)+ys(t) + n (t), where n (t) is system noise, ys(t) is the radar scattered echo, αkFor losses to the communication signal, ckAnd (t) is a communication signal.
Step S700, for the second communication device 72, transmits a radar reception signal to the radar receiver 60 through the radar response tag 50.
In step S800, the radar receiver 60 receives a radar reception signal for the first communication device 71.
The radar embedded communication method is used for communication, and interference frequency bands existing in an electromagnetic wave environment are 5-10 MHz, 15-20 MHz, 25-30 MHz and 40-5 MHzSix interference frequency bands of 5MHz, 70-75 MHz and 80-85 MHz. Setting the sequence length of the waveform of the discrete stop band constraint radar 20 as N200, L200, the pass band 5dB, the stop band-20 dB, and the communication information c1、c2、c3、c4That is, the number of communication information K is 4.
Fig. 3 is a power spectral density map of the discrete stop band constraint waveform obtained through steps S100 and S200.
FIG. 4 shows embedding communication information c through step S5001The power spectral density map of the resulting communication signal. Similar to the power spectral density map of the communication signal obtained by embedding other communication information.
The effect of the communication signal on the performance of the radar 20 is analyzed by an autocorrelation function. Fig. 5 and 6 respectively reflect normalized autocorrelation functions before and after the radar 20 waveform is added to the communication signal, and the ordinate is expressed in logarithm. The specific values of the autocorrelation function before embedding the communication waveform are as follows: peak side lobe level PSL-11.70 and integral side lobe level ISL-7.45; the specific values of the autocorrelation function after adding the communication waveform are as follows: peak side lobe level PSL is-12.90 and integrated side lobe level ISL is-7.88. This illustrates that the autocorrelation properties before and after the communication waveform is added are close, i.e., the embedded communication waveform does not affect the detection performance of the radar 20 system.
Further, the interception of the communication waveform is analyzed. Let the signal-to-noise ratio be-15 dB; when the normalized correlation degree is calculated, the large characteristic value number of the interception receiver is changed from 0 to 200; each point was calculated using 200 samples and averaged, the results are shown in figure 7. By analyzing fig. 7, it can be seen from the stationarity of the curve that the radar embedded communication method has good concealment.
Referring to fig. 2, another embodiment of the present invention provides a radar embedded communication system. The radar embedded communication system includes a first communication device 71 and a second communication device 72:
the first communication device 71 includes a waveform calculation module 10, a radar 20, and a radar receiver 60; the second communication device 72 includes the signal receiver 30, the signal calculation module 40, and the radar-responsive tag 50.
The waveform calculation module 10 is configured to obtain an objective function of the discrete stop band constraint waveform sequence by a power spectrum matching method according to the ideal power spectrum, and solve the objective function of the discrete stop band constraint waveform sequence to obtain a discrete stop band constraint waveform close to the ideal power spectral density;
a radar 20 connected to the waveform computation module 10 for transmitting a radar signal corresponding to the discrete stop band constraint waveform;
a signal receiver 30 for receiving a radar signal emitted by the radar 20;
a signal calculation module 40 connected to the signal receiver 30, configured to modulate the discrete stop band constraint waveform and embed the communication information to be transmitted to obtain a communication signal, and obtain a radar reception signal according to the communication signal and the radar scattering echo;
a radar response tag 50 connected to the signal calculation module 40 for transmitting a radar reception signal;
and a radar receiver 60 for receiving the radar reception signal.
Further, for the waveform computation module 10, the objective function of the discrete stop band constraint waveform sequence is:
Figure BDA0002722231170000131
in the formula
Figure BDA0002722231170000132
For an ideal power spectrum, s is the discrete stop band constraint waveform to be obtained, and θ ═ θ1,θ2,…,θN]A is a discrete Fourier transform matrix for the phase vector of the discrete stop band constrained waveform to be obtained. And solving the objective function of the discrete stop band constraint waveform sequence by using a quasi-Newton method to obtain a communication signal.
Further, for the radar 20, the radar 20 transmits radar signals to the surrounding according to the communication signals calculated by the waveform calculation module 10.
For the remote signal receiver 30, the signal receiver 30 receives radar signals radiated by the radar 20.
Further to the signal calculation module 40, the signal calculation module 40 is configured to perform the following steps to obtain the communication signal:
converting the discrete stop band constraint waveform into a Topritz matrix;
performing eigenvalue decomposition on the Topritz matrix to obtain N eigenvalues and N eigenvectors, wherein the eigenvectors correspond to the eigenvalues one by one;
sorting the N eigenvalues, and forming a matrix V by the (N-L) eigenvectors corresponding to the (N-L) minimum eigenvaluessWhere L is a constant value determined by both the radar response tag 50 and the radar receiver 60;
according to matrix VsObtaining k combined matrix with Vs＝[v1 v2 … vN-L]，v1，v2，…，vN-LIs a matrix VsThe k combined matrices are respectively expressed as:
Figure BDA0002722231170000141
k is the number of communication information;
deriving a communication signal from the combining matrix, the communication signal being represented as:
Figure BDA0002722231170000142
wherein b is1、b2…bkIs a pseudorandom Nx1 vector.
Further, the signal calculation module 40 obtains a radar receiving signal according to the communication signal and the radar scattering echo processing, where the radar receiving signal is yr(t)＝αkck(t)+ys(t) + n (t), where n (t) is system noise, ys(t) is the radar scattered echo, αkFor losses to the communication signal, ckAnd (t) is a communication signal.
The radar response tag 50 receives and transmits the radar reception signal calculated by the signal calculation module 40.
The radar receiver 60 receives a radar reception signal transmitted by the radar-responsive tag 50.
It should be noted that, the radar embedded communication system, applying the radar embedded communication method as described in the method embodiment, can perform each step of the radar embedded communication method through cooperation of each part, and has the same technical effect, and details are not described herein.
The above description is only a preferred embodiment of the present invention, and the present invention is not limited to the above embodiment, and the present invention shall fall within the protection scope of the present invention as long as the technical effects of the present invention are achieved by the same means.

Claims (10)

1. A radar-embedded communication method performed by a first communication device communicating with a second communication device, the radar-embedded communication method comprising the steps of:
obtaining a target function of a discrete stop band constrained waveform sequence by a power spectrum matching method according to the ideal power spectrum;
solving an objective function of the discrete stop band constrained waveform sequence to obtain a discrete stop band constrained waveform;
transmitting a radar signal corresponding to the discrete stop band constraint waveform;
and receiving a radar receiving signal transmitted by the second communication device, wherein the radar receiving signal is obtained by the second communication device receiving the radar signal, modulating the discrete stop band constraint waveform and embedding communication information to be transmitted to obtain a communication signal, and obtaining the communication signal according to the communication signal and a radar scattering echo.
2. The radar-embedded communication method of claim 1, wherein an objective function of the discrete stop band constraint waveform sequence is:
Figure FDA0002722231160000011
in the formula
Figure FDA0002722231160000012
For an ideal power spectrum, s is the discrete stop band constraint waveform to be obtained, and θ ═ θ1,θ2,…,θN]For the phase vector of the discrete stop-band constrained waveform to be obtained, A is the dispersionA fourier transform matrix.
3. The radar-embedded communication method according to claim 1 or 2, wherein solving the objective function of the discrete stop band constraint waveform sequence comprises: and solving an objective function of the discrete stop band constraint waveform sequence by using a quasi-Newton method.
4. A radar-embedded communication method executed by a second communication device that communicates with a first communication device, characterized by comprising the steps of:
receiving the radar signal transmitted by the first communication device, wherein the radar signal is obtained by the first communication device according to an ideal power spectrum through a target function of a discrete stop band constraint waveform sequence obtained by a power spectrum matching method, solving the target function of the discrete stop band constraint waveform sequence to obtain a discrete stop band constraint waveform corresponding to the discrete stop band constraint waveform;
modulating the discrete stop band constraint waveform and embedding communication information to be transmitted to obtain a communication signal;
obtaining a radar receiving signal according to the communication signal and the radar scattering echo;
and transmitting the radar receiving signal.
5. The radar-embedded communication method according to claim 4, wherein the modulating the discrete stop band constraint waveform and embedding the communication information to be transmitted to obtain the communication signal specifically comprises:
converting the discrete stop band constraint waveform into a Topritz matrix;
performing eigenvalue decomposition on the Topritz matrix to obtain N eigenvalues and N eigenvectors, wherein the eigenvectors correspond to the eigenvalues one by one;
sorting the N eigenvalues, and forming a matrix V by the (N-L) eigenvectors corresponding to the (N-L) minimum eigenvaluessWherein L is the sum of the radar response tag anda constant value determined by the radar receiver;
according to matrix VsObtaining k combined matrix with Vs＝[v11 v2 … vN-L]，v1，v2，…，vN-LIs a matrix VsThe k combined matrices are respectively expressed as:
Figure FDA0002722231160000031
k is the number of communication information;
deriving a communication signal from the combining matrix, the communication signal being represented as:
Figure FDA0002722231160000032
wherein b is1、b2…bkIs a pseudorandom Nx1 vector.
6. The radar-embedded communication method according to claim 4, wherein the radar reception signal is yr(t)＝αkck(t)+ys(t) + n (t), where n (t) is system noise, ys(t) is the radar scattered echo, αkFor losses to said communication signal, ck(t) is the communication signal.
7. The radar embedded communication system is characterized by comprising a first communication device and a second communication device which are communicated with each other;
the first communication device includes:
the waveform calculation module is used for obtaining an objective function of the discrete stop band constraint waveform sequence through a power spectrum matching method according to the ideal power spectrum, solving the objective function of the discrete stop band constraint waveform sequence and obtaining a discrete stop band constraint waveform close to the ideal power spectrum density;
the radar is connected with the waveform computing module and used for transmitting radar signals corresponding to the discrete stop band constraint waveforms;
a radar receiver for receiving the radar reception signal;
the second communication device includes:
a signal receiver for receiving the radar signal transmitted by the radar;
the signal calculation module is connected with the signal receiver and used for modulating the discrete stop band constraint waveform and embedding communication information to be transmitted to obtain a communication signal and obtaining a radar receiving signal according to the communication signal and a radar scattering echo;
and the radar response tag is connected with the signal calculation module and is used for transmitting the radar receiving signal.
8. The radar-embedded communication system of claim 7, wherein an objective function of the sequence of discrete stop band constraint waveforms is:
Figure FDA0002722231160000041
in the formula
Figure FDA0002722231160000042
For an ideal power spectrum, s is the discrete stop band constraint waveform to be obtained, and θ ═ θ1,θ2,…,θN]A is a discrete Fourier transform matrix for the phase vector of the discrete stop band constrained waveform to be obtained.
9. The radar-embedded communication system according to claim 7 or 8, wherein the signal calculation module is configured to perform the following steps to obtain the communication signal:
converting the discrete stop band constraint waveform into a Topritz matrix;
performing eigenvalue decomposition on the Topritz matrix to obtain N eigenvalues and N eigenvectors, wherein the eigenvectors correspond to the eigenvalues one by one;
sorting the N eigenvalues, and forming a matrix V by the (N-L) eigenvectors corresponding to the (N-L) minimum eigenvaluessWherein L is the response of the tag by the radar and the radarTo a constant value determined jointly by the receivers;
according to matrix VsObtaining k combined matrix with Vs＝[v1 v2 … vN-L]，v1，v2，…，vN-LIs a matrix VsThe k combined matrices are respectively expressed as:
Figure FDA0002722231160000051
k is the number of communication information;
deriving a communication signal from the combining matrix, the communication signal being represented as:
Figure FDA0002722231160000052
wherein b is1、b2…bkIs a pseudorandom Nx1 vector.
10. The radar-embedded communication system according to claim 7, wherein the radar reception signal is yr(t)＝αkck(t)+ys(t) + n (t), where n (t) is system noise, ys(t) is the radar scattered echo, αkFor losses to said communication signal, ck(t) is the communication signal.
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