CN109870676A - Radar-communication integration system performance boundary measurement method based on location estimation rate - Google Patents

Radar-communication integration system performance boundary measurement method based on location estimation rate Download PDF

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CN109870676A
CN109870676A CN201910187415.7A CN201910187415A CN109870676A CN 109870676 A CN109870676 A CN 109870676A CN 201910187415 A CN201910187415 A CN 201910187415A CN 109870676 A CN109870676 A CN 109870676A
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communication
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rate
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CN109870676B (en
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杨晓波
张天贤
邓艳红
田团伟
刘辛雨
孔令讲
崔国龙
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University of Electronic Science and Technology of China
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Abstract

The present invention discloses a kind of radar-communication integration system performance boundary measurement method based on location estimation rate, applied to Radar Technology field, for the prior art when measuring radar-communication integration system performance boundary, only target range information, there is no the problem of angle information, the present invention has comprehensively considered target range information and angle information, the radar signal that receiver is received first, signal of communication and its composite signal are modeled, further according to the mode of radar and communications frequency spectrum share in radar-communication integration system, the case where frequency spectrum share is divided into: individually subband is wide for tradition, it is wide wide with radar individual subbands to communicate individual subbands, then location estimation rate is respectively adopted, communication rate is to radar function, communication functionality can be carried out characterization, it is finally logical to radar under different frequency bands sharing mode using location estimation rate and communication rate Believe that the performance limit of system integration system carries out theory deduction, realizes the measurement to the performance of radar-communication integration system.

Description

Radar-communication integration system performance boundary measurement method based on location estimation rate
Technical field
The invention belongs to Radar Technology field, in particular to a kind of radar-communication integration system performance boundary measures skill Art.
Background technique
Modern radar equipment has multiple functions, and such as target detection, deployed with devices simultaneously share the letter obtained with other equipment Breath.How radar equipment to be combined with communication equipment, forms a complete system, solve the problems, such as resource rational utilization, It is more and more research topics in recent years.Radar equipment is combined with communication equipment, an integrated system is formed, how to solve Certainly resource rational utilization problem has become one of the research hotspot of domestic and international expert.
Radar and communications frequency spectrum share is the key that one of to solve frequency spectrum resource shortage, improve availability of frequency spectrum research.This It is the research topic being of practical significance very much, but radar and communication spectrum are shared by caused the problem of interfering with each other, radar The exploitation of the characterizing method of communication integrated system performance and the theoretical research of radar-communication integration system performance boundary are still It is the problem of the research.In document " Inner Bounds on Performance of Radar and Communications Co-Existence,IEEE Transactions on Signal Processing,vol.64, In no.2, pp.464-474,2015 ", the concept of radar estimated information rate is suggested, and by radar system estimated information rate and The communication rate of communication system has derived the accessible performance limit of radar-communication integration system, but it only considered wave beam arrival When the time (Time of Arrival, TOA), without consider wave beam angle of arrival (Direction of Arrival, DOA), i.e., Only target range information, without angle information.From the point of view of the article delivered at present, using location estimation rate to radar communication one Body system performance boundary, which measures, research also.
Summary of the invention
In order to solve the above technical problems, the present invention proposes a kind of radar-communication integration systematicness based on location estimation rate Energy boundary measurement method, it is contemplated that wave beam arrival time, wave beam angle of arrival united information, realize under different frequency bands sharing mode The measurement of radar-communication integration system performance boundary.
Radar-communication integration system performance boundary measurement method based on location estimation rate, comprising:
S1, reception window receive simultaneously: radar signal, signal of communication, composite signal;
S2, frequency spectrum share model split: individually sub- bandwidth mode, the wide mode of communication individual subbands and radar are independent sub for tradition Bandwidth mode;
Under traditional individually sub- bandwidth mode, main broadband is divided into two parts, and for communicating, another part is used for a part Radar;Two parts are not worked intrusively in respective frequency sub-band by any;
In the case where communicating the wide mode of individual subbands, total bandwidth is divided into two parts, and a part is only used for communicating, and referred to as communication is only Vertical subband is wide, and another part is used for radar and communication simultaneously, and referred to as hybrid subband is wide;
Under the wide mode of radar individual subbands, total bandwidth is divided into two parts, and a part is only used for radar, and referred to as radar is only Vertical subband is wide, and another part is used for radar and communication simultaneously, and referred to as hybrid subband is wide;
S3, consider wave beam arrival time, wave beam angle of arrival united information, obtain the location estimation of characterization radar function performance Rate boundary expressions;
S4, communication function performance is characterized using communication rate;
S5, communication rate and location estimation rate boundary in step S2 under different spectral sharing mode are calculated separately.
Further, the process of the location estimation rate expression formula of characterization radar function performance is obtained described in step S3 are as follows:
A1, according to the received radar signal of step S1, obtain its probability density function about τ and θ;Wherein, τ indicates wave Beam arrival time, θ indicate wave beam angle of arrival;
A2, according to the probability density function of step A1, obtain accordingly take snow information matrix;
A3, take snow information matrix with step A2, the Cramér-Rao lower bound of wave beam arrival time is obtained, with wave beam angle of arrival Cramér-Rao lower bound;
A4, the Cramér-Rao lower bound according to the Cramér-Rao lower bound of wave beam arrival time, with wave beam angle of arrival;Obtain location estimation The upper bound expression of rate.Step A4 specifically:
A41, location estimation rate are as follows:
Wherein, hrsIt indicates to receive signal entropy, hestIndicate estimation entropy, TpriIndicate pulse recurrence interval;
A42, according to the Cramér-Rao lower bound of wave beam arrival time, Cramér-Rao lower bound with wave beam angle of arrival obtains positioning and estimates The least mean-square error of gauge;
A43, the least mean-square error according to location estimator, respectively obtain the h of received radar signalrsWith hest:
Wherein, JminIndicate the least mean-square error of location estimator, nproIndicate remaining noise in addition to estimating noise;
A44, the h for obtaining step A43rsWith hestIt brings into step A41 expression formula, obtains the upper bound table of location estimation rate Up to formula are as follows:
Wherein, T indicates pulse width, and γ indicates signal-to-noise ratio,
Further, communication rate expression formula described in step S4 are as follows:
Wherein, BcIndicate that communication individual subbands are wide, h indicates signal of communication propagation gain, and κ is Boltzmann constant, T0It indicates Communication system absolute temperature, pcIndicate the power of communications in total bandwidth.
Further, the communication rate in step S5 under the independent sub- bandwidth mode of tradition is respectively as follows: with location estimation rate boundary
Wherein, α is the bandwidth adjustment factor, and 0≤α≤1, B indicate bandwidth, nproIndicate remaining in addition to estimating noise Noise, γ indicate signal-to-noise ratio, BrIndicating that radar individual subbands are wide, δ indicates duty ratio, and T indicates pulse width,N indicates antenna element quantity, and d indicates antenna element spacing, and c indicates the light velocity, λ It is plane wave wavelength, prIndicate that radar transmission power, g indicate the propagation gain of radar signal.
Further, the communication rate that communication individual subbands are wide under the wide mode of individual subbands is communicated in step S5 are as follows:
Wherein, pc,oFor the power of communications for communicating the wide middle distribution of individual subbands under the communication wide mode of individual subbands.
Further, the communication rate and location estimation rate that hybrid subband is wide under the wide mode of individual subbands are communicated in step S5 Feature modeling process are as follows:
B1, the composite signal in the mixing frequency range received is handled using SIC;
B2, joint receiver are first decoded the signal of communication received;
B3, when communication signal decoding success, it is subtracted from composite signal, obtain no communication interference radar letter Number;
B4, using the radar signal in step B3 as interference, obtain hybrid subband it is wide in communication rate are as follows:
Wherein, pc,mFor the power of communications of the wide middle distribution of hybrid subband under the communication wide mode of individual subbands;
B5, due to signal of communication it is removed, according to the location estimation rate boundary expressions of step S3, obtain mixing Location estimation rate boundary in bandwidth are as follows:
Further, the wide location estimation rate of radar individual subbands under the wide mode of radar individual subbands in step S5 are as follows:
Wherein, γr,oFor the wide communication signal-to-noise ratio of radar individual subbands under the wide mode of radar individual subbands, pr,oIt is only for radar Found the radar power of the wide middle distribution of radar individual subbands under sub- bandwidth mode.
Further, the wide communication rate of hybrid subband and location estimation rate under the wide mode of radar individual subbands in step S5 Feature modeling process are as follows:
C1, the composite signal in the mixing frequency range received is handled using SIC;
C2, joint receiver are first decoded the radar signal received;
C3, when radar signal successfully decoded, it is subtracted from composite signal, obtains the communication letter of no radar signal interference Number;
C4, using the signal of communication in step C3 as interference, obtain hybrid subband it is wide in location estimation rate:
Wherein, γr,mFor the wide communication signal-to-noise ratio of hybrid subband under the wide mode of radar individual subbands, pr,mFor the independent son of radar The radar power of the wide middle distribution of hybrid subband under bandwidth mode;
C5, due to radar signal it is removed, according to the communication rate expression formula of step S4, obtain hybrid subband it is wide in Communication rate are as follows:
Beneficial effects of the present invention: radar signal that the present invention first receives receiver, signal of communication and its compound Signal is modeled, further according to the mode of radar and communications frequency spectrum share in radar-communication integration system, by frequency spectrum share Situation has been divided into three classes, i.e., individually subband is wide, communication individual subbands are wide and radar individual subbands are wide for tradition, has then formulated radar Location estimation rate, communication rate is respectively adopted to radar function, communication function performance in the performance characterization method of communication integrated system It is characterized, finally utilizes location estimation rate and communication rate to the property of radar-communication integration system under different spectral sharing mode Energy boundary carries out theory deduction, realizes the measurement to the performance of radar-communication integration system;The advantage of the invention is that considering Wave beam arrival time (TOA), wave beam angle of arrival (DOA) united information, realize radar communication under different frequency bands sharing mode The measurement of integral system performance limit;Method of the invention is suitable for the fields such as civilian military affairs.
Detailed description of the invention
Fig. 1 is the overall structure block diagram of the method provided by the present invention.
Fig. 2 is structural block diagram of the present invention using tradition ISB frequency spectrum share mode.
Fig. 3 is the structural block diagram that the present invention uses CIB frequency spectrum share mode.
Fig. 4 is the structural block diagram that the present invention uses RIB frequency spectrum share mode.
Fig. 5 is radar-communication integration under tri- kinds of frequency spectrum share modes of ISB, CIB, RIB in the specific embodiment of the invention The performance limit simulation result of system.
Fig. 6 is that CIB, RIB frequency spectrum share mode are communicated compared to ISB frequency spectrum share mode in the specific embodiment of the invention Rate performance improvement simulation result.
Fig. 7 is that CIB, RIB frequency spectrum share mode are positioned compared to ISB frequency spectrum share mode in the specific embodiment of the invention Expectancy rate performance improvement simulation result.
Specific embodiment
For convenient for those skilled in the art understand that technology contents of the invention, with reference to the accompanying drawing to the content of present invention into one Step is illustrated.
The method that the present invention mainly uses emulation experiment is verified, and all steps, conclusion are all tested on Matlab2014 Card is correct.With regard to specific embodiment, the present invention is described in further detail below.
Step 1: receive signal modeling:
It receives window and receives radar signal z simultaneouslyr(t) and signal of communication zc(t), composite signal is z (t) are as follows:
Z (t)=zr(t)+zc(t) (1)
Define the feature vector a (θ) of antenna:
A (θ)=[1, e-j2πdcosθ/λ,···,e-j2π(N-1)dcosθ/λ]T (2)
Wherein, d is antenna element spacing, and λ is plane wave wavelength, and θ is DOA, received radar signal zr(t) it is given by following formula Out:
Wherein, prIndicate radar transmission power, frIndicate the carrier frequency of radar signal, g indicates that the propagation of radar signal increases Benefit, τrIndicate the propagation delay time of radar signal, φrIt indicates the carrier phase as caused by the propagation delay time, meets φr=- 2πfrτr。nr(t) be mean value be 0, variance σ2=κ TsysWhite Gaussian noise (the Additive White Gaussian of B Noise, AWGN), wherein κ is Boltzmann constant, TsysIndicate radar system noise temperature, B indicates bandwidth.
The mathematic(al) representation of received signal of communication:
Wherein, fcIndicate the carrier frequency of signal of communication, sc(t) equivalent communication baseband signal is indicated, h indicates signal of communication Propagation gain, τcIndicate the propagation delay time of signal of communication, φrIt indicates the carrier phase as caused by propagation delay, meets φc =-2 π fcτc
Step 2: frequency spectrum share model split:
According to the mode that radar and communications frequency range in radar-communication integration system is shared, the case where frequency spectrum share, is divided into Individually subband wide (traditional isolated sub-band, ISB), communication individual subbands are wide for three classes, i.e. tradition (traditional isolated sub-band, CIB) and radar individual subbands it is wide (radar isolated sub-band, RIB)。
Step 2.1: individually subband is wide for tradition:
Under ISB mode, total bandwidth is divided into two parts, and a part is used to communicate, and another part is used for radar, leads to Letter and radar two parts are not worked intrusively in respective frequency sub-band by any.
Step 2.2: communication individual subbands are wide:
Under CIB mode, total bandwidth is divided into two parts, and a part is only used for communicating, and referred to as communication individual subbands are wide, separately A part is used for radar and communication simultaneously, and referred to as hybrid subband is wide.
Step 2.3: radar individual subbands are wide:
Under RIB mode, total bandwidth is divided into two parts, and a part is only used for radar, and referred to as radar individual subbands are wide, separately A part is used for radar and communication simultaneously, and referred to as hybrid subband is wide.
Step 3: the characterization of radar-communication integration system:
Step 3.1: the performance characterization of radar function:
In view of the AWGN in formula (3), radar return signal zr(t) about the probability density function (probability of τ and θ Density function, pdf) are as follows:
Assuming that p (z;τ, θ) meet " routine " condition, available corresponding fisher information matrix (FIM):
After being derived by some algebra, the Cramér-Rao lower bound of TOA and DOA (Commodity Research Bureau, CRB) it is respectively as follows:
Wherein, γ indicates signal-to-noise ratio (Signal to noise ratio, SNR),Indicate square effective bandwidth and Meet:
Δ τ and Δ θ are respectively defined as to the evaluated error of τ and θ, location estimation may be expressed as:
Least mean-square error (Minimum Mean Squared Error, MMSE) J of location estimatorminAre as follows:
Excitation according to estimation entropy, random process entropy to communication rate, location estimation rate is defined as:
Wherein, Tpri=T/ δ indicates pulse recurrence interval, and T indicates pulse width, and δ indicates duty ratio, hrsAnd hestTable respectively Show and receive signal entropy and estimation entropy:
Wherein, nproIt is remaining noise in addition to estimating noise.By formula (13), the available location estimation rate of formula (14) The upper bound are as follows:
Wherein,
Step 3.2: the performance characterization of communication function:
Using communication rate RcomThe performance of communication function is measured, institute's energy on channel in the communication rate bigger expression unit time The maximum number bits of transmission are bigger, and message transmission capability is stronger.According to Shannon's theorems:
Wherein, T0Indicate communication system absolute temperature, BcIndicate communication channel bandwidth.
Step 4: the performance limit analysis of the radar-communication integration system under different spectral sharing mode:
The performance limit analysis of radar-communication integration system under step 4.1:ISB mode;
Under ISB mode, enabling radar bandwidth is Br, communication bandwidth Bc
Bc=α B, Br=(1- α) B (17)
Wherein, α (0≤α≤1) is the bandwidth adjustment factor, BcWide, the B for communication individual subbandsrIt is wide for radar individual subbands.
According to formula (15), formula (16), corresponding communication rate RcomIt is respectively as follows: with location estimation rate
The performance limit analysis of radar-communication integration system under step 4.2:CIB mode:
Under CIB mode, enabling communication individual subbands width is Bc, hybrid subband width is Bmix, while using water flood to communication Power is allocated.Given bandwidth adjustment factor-alpha (0≤α≤1), the mathematic(al) representation of two sub- bandwidth are as follows:
Bc=α B, Bmix=(1- α) B (20)
Step 4.2.1: the wide communication rate of communication individual subbands
According to formula (16), the wide communication rate of individual subbands can must be communicated are as follows:
Wherein, pc,oFor the power of communications for communicating the wide middle distribution of individual subbands.
Step 4.2.2: the wide communication rate of hybrid subband and location estimation rate:
The composite signal in the mixing frequency range received is handled using SIC, joint receiver is first to receiving Signal of communication be decoded.Once signal of communication is decoded into function, it is subtracted from composite signal, obtains no signal of communication The radar signal of interference.
Radar signal is considered as interference, the wide communication signal interference ratio (SIR) of hybrid subband are as follows:
Wherein, pc,mFor the power of communications of the wide middle distribution of hybrid subband.
Communication rate according to formula (16), during hybrid subband is wideMathematic(al) representation are as follows:
Location estimation rate R since signal of communication is removed, according to formula (15), during hybrid subband is wideestAre as follows:
Step 4.2.3: power of communications distribution:
Power of communications is allocated using water flood, optimizes pc,o、pc,mValue to realizing maximum communication rate. Corresponding Lagrangian are as follows:
Wherein, λ is Lagrange multiplier.By solving the KKT point of Lagrangian, available pc,oValue model It encloses are as follows:
Because of pc,o+pc,m=pc, pc,m>=0, further obtain pcWith prThe constraint relationship are as follows:
The performance limit analysis of radar-communication integration system under step 4.3:RIB mode:
Under RIB mode, enabling radar individual subbands width is Br, hybrid subband width is Bmix.Given bandwidth adjustment factor-alpha (0 ≤ α≤1), the mathematic(al) representation of two sub- bandwidth are as follows:
Br=α B, Bmix=(1- α) B (28)
Step 4.3.1: the wide location estimation rate of radar individual subbands
Radar signal in wide for radar individual subbands, not by communication interference, signal-to-noise ratio are as follows:
Wherein, pr,oFor the radar power of the wide middle distribution of radar individual subbands.According to formula (15), corresponding location estimation rate Are as follows:
Step 4.3.2: the wide communication rate of hybrid subband and location estimation rate:
The composite signal in the mixing frequency range received is handled using SIC, joint receiver is first to receiving Radar signal be decoded.Once radar signal is decoded into function, it is subtracted from composite signal, obtains no radar signal The signal of communication of interference.
Signal of communication is considered as to the interference of radar signal, the radar signal interference ratio (SIR) during hybrid subband is wide are as follows:
Wherein, pr,mFor the radar power of the wide middle distribution of hybrid subband, according to formula (15), corresponding location estimation rate are as follows:
Communication rate R since radar signal is removed, according to formula (16), during hybrid subband is widecomMathematic(al) representation Are as follows:
Step 4.3.3: radar power distribution:
As the principle of power of communications distribution, radar power is allocated using water flood, optimizes pr,o、pr,m's Value is to realize that location estimation rate maximizes.
Effect of the invention is further illustrated by following l-G simulation test:
Simulating scenes: assuming that target cross section is it is known that the reception power of receiver follows typical propagation loss model, i.e., Received signal power and r-nDirectly proportional, wherein r is radar range or communications distance, and n is path loss index.Radar 4 and 2 are respectively set to the path loss index of communication.Radar-communication integration system operational parameters are as shown in table 1.
The performance limit simulation result of radar-communication integration system is as schemed under tri- kinds of frequency spectrum share modes of ISB, CIB, RIB Shown in 5.
CIB, RIB frequency spectrum share mode are compared to ISB frequency spectrum share mode communication rate performance improvement simulation result such as Fig. 6 institute Show.
CIB, RIB frequency spectrum share mode are such as compared to ISB frequency spectrum share mode location estimation rate performance improvement simulation result Shown in Fig. 7.
1 radar-communication integration system operational parameters of table
Parameter Numerical value
Bandwidth (B) 8MHz
Wavelength (λ) 0.3m
Absolute temperature (T0) 290K
Radar detection power (pr) 10KW
Radar range (rr) 10km
Radar detection antenna gain (g) 1000
Antenna element spacing (d) 0.3m
Communicate transmission power (pc) 50W
Communications distance (rc) 10km
Antenna element quantity (N) 5
Pulse width (T) 20μs
Target cross section (σ) 2m2
Pulse duty factor (δ) 0.05
DOA π/2
Fig. 5 depicts the performance limit of radar-communication integration system under tri- kinds of frequency spectrum share modes of ISB, CIB and RIB. External constraint indicates, by total bandwidth being distributed to communication or maximum may be implemented in radar respectively under three kinds of frequency spectrum share modes Location estimation rate 7890bit/s and maximum communication data rate 1.445 × 107Bit/s, respectively as shown in A point in Fig. 4 and D point.It can To find out, the performance limit under traditional ISB mode will be lower than RIB mode and CIB mode.Wherein, in B point, because of all bands Width has been distributed on radar, and the communication rate under ISB and RIB mode is 0bit/s, but altogether due to the radar under CIB mode and communication All bandwidth are enjoyed, communication rate still can achieve 4.301 × 106bit/s.Similarly, in C point, because all bandwidth are all distributed Communication is given, the location estimation rate under ISB and CIB mode is 0bit/s, but by the radar under RIB mode and communicates shared institute There is bandwidth, location estimation rate still can achieve 2591bit/s.
Fig. 6 depicts CIB, RIB frequency spectrum share mode compared to ISB frequency spectrum share mode communication rate performance improvement situation. As can be seen that the performance of the communication rate under CIB and RIB two ways is all significantly improved compared to ISB mode.Wherein CIB Performance improvement effect is most obvious under mode, when communication rate is 4.301 × 106When bit/s, location estimation rate can reach maximum value.
Fig. 7 depicts CIB, RIB frequency spectrum share mode compared to ISB frequency spectrum share mode location estimation rate performance improvement feelings Condition.As can be seen that the performance of the location estimation rate under CIB and RIB two ways is all significantly improved compared to ISB mode. Wherein performance improvement effect is most obvious under RIB mode, and when location estimation rate is 2591bit/s, communication rate can reach maximum value.
To sum up, the present invention can be very good the performance limit of instrumentation radar communication integrated system.
Those of ordinary skill in the art will understand that the embodiments described herein, which is to help reader, understands this hair Bright principle, it should be understood that protection scope of the present invention is not limited to such specific embodiments and embodiments.For ability For the technical staff in domain, the invention may be variously modified and varied.All within the spirits and principles of the present invention, made Any modification, equivalent substitution, improvement and etc. should be included within scope of the presently claimed invention.

Claims (9)

1. the radar-communication integration system performance boundary measurement method based on location estimation rate characterized by comprising
S1, reception window receive simultaneously: radar signal, signal of communication, composite signal;
S2, frequency spectrum share model split are as follows: the independent sub- bandwidth mode of tradition, the wide mode of communication individual subbands and radar individual subbands Wide mode;
Under traditional individually sub- bandwidth mode, main broadband is divided into two parts, and for a part for communicating, another part is used for thunder It reaches;Two parts are not worked intrusively in respective frequency sub-band by any;
In the case where communicating the wide mode of individual subbands, total bandwidth is divided into two parts, and a part is only used for communicating, referred to as the independent son of communication Bandwidth, another part are used for radar and communication simultaneously, and referred to as hybrid subband is wide;
Under the wide mode of radar individual subbands, total bandwidth is divided into two parts, and a part is only used for radar, the referred to as independent son of radar Bandwidth, another part are used for radar and communication simultaneously, and referred to as hybrid subband is wide;
S3, consider wave beam arrival time, wave beam angle of arrival united information, obtain the location estimation rate side of characterization radar function performance Boundary's expression formula;
S4, communication function performance is characterized using communication rate;
S5, communication rate and location estimation rate boundary in step S2 under different spectral sharing mode are calculated separately.
2. the radar-communication integration system performance boundary measurement method according to claim 1 based on location estimation rate, It is characterized in that, obtaining the process of the location estimation rate expression formula of characterization radar function performance described in step S3 are as follows:
A1, according to the received radar signal of step S1, obtain its probability density function about τ and θ;Wherein, τ indicates that wave beam arrives Up to the time, θ indicates wave beam angle of arrival;
A2, according to the probability density function of step A1, obtain accordingly take snow information matrix;
A3, snow information matrix is taken according to step A2, obtains the Cramér-Rao lower bound of wave beam arrival time, gram with wave beam angle of arrival Latin America Luo Jie;
A4, the Cramér-Rao lower bound according to the Cramér-Rao lower bound of wave beam arrival time, with wave beam angle of arrival;Obtain location estimation rate Upper bound expression.
3. the radar-communication integration system performance boundary measurement method according to claim 2 based on location estimation rate, It is characterized in that, step A4 specifically:
A41, location estimation rate are as follows:
Wherein, hrsIt indicates to receive signal entropy, hestIndicate estimation entropy, TpriIndicate pulse recurrence interval;
A42, according to the Cramér-Rao lower bound of wave beam arrival time, Cramér-Rao lower bound with wave beam angle of arrival obtains location estimator Least mean-square error;
A43, the least mean-square error according to location estimator, respectively obtain the h of received radar signalrsWith hest
A44, the h for obtaining step A43rsWith hestIt substitutes into step A41 expression formula, updates the expression formula of location estimation rate.
4. the radar-communication integration system performance boundary measurement method according to claim 3 based on location estimation rate, It is characterized in that, communication rate expression formula described in step S4 are as follows:
Wherein, BcIndicate that communication individual subbands are wide, h indicates signal of communication propagation gain, and κ is Boltzmann constant, T0Indicate communication System absolute temperature, pcIndicate the power of communications in total bandwidth.
5. the radar-communication integration system performance boundary measurement method according to claim 4 based on location estimation rate, It is characterized in that, the communication rate in step S5 under the independent sub- bandwidth mode of tradition is respectively as follows: with location estimation rate boundary
Wherein, α is the bandwidth adjustment factor, and 0≤α≤1, B indicate bandwidth, nproIndicate remaining noise in addition to estimating noise, γ indicates signal-to-noise ratio, BrIndicating that radar individual subbands are wide, δ indicates duty ratio, and T indicates pulse width,N indicates antenna element quantity, and d indicates antenna element spacing, and c indicates the light velocity, λ It is plane wave wavelength, prIndicate that radar transmission power, g indicate the propagation gain of radar signal.
6. the radar-communication integration system performance boundary measurement method according to claim 5 based on location estimation rate, It is characterized in that, communicating the communication rate that communication individual subbands are wide under the wide mode of individual subbands in step S5 are as follows:
Wherein, pc,oFor the power of communications for communicating the wide middle distribution of individual subbands under the communication wide mode of individual subbands.
7. the radar-communication integration system performance boundary measurement method according to claim 6 based on location estimation rate, It is characterized in that, communicating the communication rate and location estimation rate feature modeling that hybrid subband is wide under the wide mode of individual subbands in step S5 Process are as follows:
B1, the composite signal in the mixing frequency range received is handled using SIC;
B2, joint receiver are first decoded the signal of communication received;
B3, when communication signal decoding success, it is subtracted from composite signal, obtains the radar signal of no communication interference;
B4, using the radar signal in step B3 as interference, obtain hybrid subband it is wide in communication rate are as follows:
Wherein, pc,mFor the power of communications of the wide middle distribution of hybrid subband under the communication wide mode of individual subbands;
B5, due to signal of communication it is removed, according to the location estimation rate boundary expressions of step S3, it is wide to obtain hybrid subband In location estimation rate boundary are as follows:
8. the radar-communication integration system performance boundary measurement method according to claim 4 based on location estimation rate, It is characterized in that, the wide location estimation rate of radar individual subbands under the wide mode of radar individual subbands in step S5 are as follows:
Wherein, γr,oFor the wide communication signal-to-noise ratio of radar individual subbands under the wide mode of radar individual subbands, pr,oFor the independent son of radar The radar power of the wide middle distribution of radar individual subbands under bandwidth mode.
9. the radar-communication integration system performance boundary measurement method according to claim 8 based on location estimation rate, It is characterized in that, the wide communication rate of hybrid subband and location estimation rate feature modeling under the wide mode of radar individual subbands in step S5 Process are as follows:
C1, the composite signal in the mixing frequency range received is handled using SIC;
C2, joint receiver are first decoded the radar signal received;
C3, when radar signal successfully decoded, it is subtracted from composite signal, obtains the signal of communication of no radar signal interference;
C4, using the signal of communication in step C3 as interference, obtain hybrid subband it is wide in location estimation rate:
Wherein, γr,mFor the wide communication signal-to-noise ratio of hybrid subband under the wide mode of radar individual subbands, pr,mIt is wide for radar individual subbands The radar power of the wide middle distribution of hybrid subband under mode;
C5, due to radar signal it is removed, according to the communication rate expression formula of step S4, obtain hybrid subband it is wide in communication Rate are as follows:
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