CN110320499A - MIMO radar beam transmitting beam pattern method based on Subarray partition - Google Patents

MIMO radar beam transmitting beam pattern method based on Subarray partition Download PDF

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Publication number
CN110320499A
CN110320499A CN201910720576.8A CN201910720576A CN110320499A CN 110320499 A CN110320499 A CN 110320499A CN 201910720576 A CN201910720576 A CN 201910720576A CN 110320499 A CN110320499 A CN 110320499A
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transmitting
submatrix
mimo radar
subarray
array
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施君南
姜艳娜
王鹏飞
邱晓燕
蒋洁
李伯达
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Shanghai Radio Equipment Research Institute
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Shanghai Radio Equipment Research Institute
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO 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
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00

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

Abstract

The present invention provides a kind of MIMO radar beam transmitting beam pattern method based on Subarray partition, include step: S1, establishing MIMO radar transmitting signal model, the transmitting array number of the model is N, emits submatrix number M, the corresponding launching beam of a transmitting submatrix according to task setting;S2, the transmission power ratio according to each wave beam determine the array number of each transmitting submatrix;S3, according to each transmitting submatrix array number by it is non-homogeneous it is not overlapping in a manner of, N number of transmitting array element is divided to M submatrix;S4, MIMO radar beam transmitting directional diagram is designed according to subarray configuration.The present invention is not overlapped Subarray partition mode by non-homogeneous, in conjunction with MIMO radar beam transmitting beam pattern, realizes MIMO radar simultaneous multiple beams target detection tracing ability.The present invention is easy to through hardware realization, and can flexibly change subarray configuration, under maximum Signal to Interference plus Noise Ratio criterion, has steady anti-interference ability.

Description

MIMO radar beam transmitting beam pattern method based on Subarray partition
Technical field
The present invention relates to MIMO radar technical fields, and in particular to a kind of MIMO radar multi-beam hair based on Subarray partition Penetrate beam pattern method.
Background technique
Subarray partition can increase the flexibility of Array Design, it is an important research of transmitting pattern design field Project.In practice, in order to obtain the performance indicators such as higher signal-to-noise ratio, narrower main lobe width, radar array is needed on hundred Thousand array element synthesizes transmitting pattern.If optimizing Launch Right or transmitted waveform in array element grade, although can obtain optimal Directional diagram performance, but system complexity and cost can be not only improved, also computation complexity can be made larger, it is difficult to meet real-time Property require.If array structure and transmitted waveform can optimize simultaneously, guaranteeing that directional diagram performance loss is lesser Under the conditions of, hardware realization complexity can be greatly reduced.If array to be divided into multiple submatrixs in a certain way in advance, that It only needs to optimize transmitted waveform at this time, does so the loss that may result in transmitting pattern performance, but it can protected Under the premise of demonstrate,proving a performance requirement, the difficulty of Project Realization is reduced, additionally it is possible to reduce the number of optimized variable, improve Launch Right Or the computational efficiency of transmitted waveform, it reduces and calculates the time.
In the prior art:
(" the massive phased array antenna Subarray partition side based on weighting K mean cluster patent No. CN201510329408.8 Method ") a kind of massive phased array antenna Antenna Subarray Division based on weighting K mean cluster is provided, the submatrix referred in text is drawn Point method is a kind of based on the method for minimizing weight vector approximate error.This method requires to calculate first before Subarray partition Full array element weight vector out, calculation amount is huge, is not able to satisfy requirement of real-time.
Patent No. CN201610960284.8 (" the MIMO radar array design methodology based on non-homogeneous Subarray partition ") is mentioned A kind of MIMO (Multiple-Input Multiple-Output multiple-input and multiple-output) non-homogeneous Subarray partition side of radar is supplied Method divides submatrix using uniform or non-homogeneous overlapping method in text, and Subarray partition mode is simple and easy.But it is not given in text Out for transmitting multi-beam mode MIMO radar Subarray partition design method.
Patent No. CN201611183179.4 (" a kind of Connectors for Active Phased Array Radar antenna Antenna Subarray Division ") provides one Kind uses the Antenna Subarray Division of genetic algorithm and fuzzy C-means clustering, uses genetic algorithm to calculate weighing vector in text, and adopt With the mode of fuzzy clustering, Subarray partition form is determined.Since genetic algorithm computation complexity is higher, the required calculating time compared with It is more, therefore this method is not suitable for the high MIMO radar system of requirement of real-time.
In academic paper " the best Subarray partition of phased array MIMO radar " text of Nanjing electronics research institute Zou Jialong, in detail Phased array MIMO radar is given using the Beamforming Method of completely overlapping Subarray partition mode, and analyzes submatrix number to spy Influence of the ranging from, output performance indicators such as Signal to Interference plus Noise Ratio.But just for the Antenna Subarray Division under the conditions of single wave beam in text It is studied with performance influence, is not furtherd investigate for multi-beam.
The academic paper of the 723rd research institute Chen Jianfeng of China Shipbuilding Industry Corporation " draw by the submatrix based on submatrix overlay structure Point technical research " in a text, describe a kind of large-scale array overlay structure Antenna Subarray Division in detail, this method provides window letters Several effects can effectively inhibit the overstocked graing lobe as caused by Subarray partition.But this method Subarray partition is in the form of a single, does not have Under conditions of environment and detection number of targets variation, flexibly changes subarray configuration, realize optimized detection.
As known from the above, how to realize that the MIMO radar beam transmitting based on Subarray partition is one and has practical application valence The problem of value.
Summary of the invention
The purpose of the present invention is to provide a kind of MIMO radar beam transmitting beam pattern side based on Subarray partition Method.MIMO radar uses beam pattern method of the invention, can flexibly change subarray configuration according to mission requirements, has same When multi-beam echo sounding tracking ability, have lower minor level, and under maximum Signal to Interference plus Noise Ratio criterion, have steady anti-dry Disturb ability.
In order to achieve the above object, the present invention provides a kind of MIMO radar beam transmitting directional diagram based on Subarray partition Design method, comprising the steps of:
S1, MIMO radar transmitting signal model is established, the transmitting array number of the model is N;Emitted according to task setting Submatrix number M, the corresponding launching beam of a transmitting submatrix;The transmission power of m-th of launching beam is pm, wherein m=1, 2,...,M;
S2, the transmission power ratio according to each wave beam determine the transmitting array number n of each transmitting submatrixm, m=1,2 ..., M, Wherein
S3, according to it is each transmitting submatrix transmitting array number by it is non-homogeneous overlap in a manner of, N number of transmitting array element is divided to M transmitting submatrix;
The number M of transmitting submatrix is equal to the target number for currently needing to detect;pmFor detection energy needed for m-th of target It measures, wherein m=1,2 ..., M.
The transmitting array number n of each transmitting submatrix is determined described in step S2m, m=1,2 ..., M, in particular under Column formula calculates:
The step S3 includes:
S31, m-th and the N-M+m transmitting array element are divided in m-th of transmitting submatrix, wherein m=1,2 ..., M;
S32, by remaining N-2M transmitting array element random division into M transmitting submatrix.
The step S4 includes:
S41, m-th of transmitting subarray configuration variable F is calculatedm, m=1,2 ..., M;
S42, optimization calculate cost function and obtain the Launch Right w of m-th of transmitting submatrixm;It is described to state cost function are as follows:
Wherein:
θmEmit the angle of submatrix beam position target direction for m-th, WithRespectively θmWith direction θkFull array element emit steering vector, θkIt is dry for k-th The airspace angle disturbed, amm)=Fma(θm) it is m-th of transmitting steering vector for emitting submatrix, amk)=Fma(θk) it is k-th The transmitting steering vector of interference, amm)*Indicate amm) conjugation, K be interference number,The energy interfered for k-th,For noise power, ()TFor transposition, ()HFor conjugate transposition;
S43, MIMO radar beam transmitting directional diagram P (θ) is indicated are as follows:
Wherein, am(θ) is the steering vector of m-th of transmitting submatrix, am(θ)=Fma(θ);A (θ) is that the guiding of full array is sweared Amount, θ are airspace scanning angle.
Compared with prior art, the invention has the following advantages that
1) present invention is not overlapped Subarray partition mode using non-homogeneous, and hardware configuration is simple, it is easy to accomplish.So that every height Battle array aperture is equal and maximum, and the main lobe width of each launching beam is narrow, ensure that the angular resolution of each target.
2) present invention has weighed the detection demand of each target, meets the radiation energy of each target, tool simultaneously as far as possible Standby multiple target detection tracking ability simultaneously.
3) present invention has steady anti-interference ability under maximum Signal to Interference plus Noise Ratio criterion.
Detailed description of the invention
In order to illustrate more clearly of technical solution of the present invention, attached drawing needed in description will be made simply below It introduces, it should be apparent that, the accompanying drawings in the following description is one embodiment of the present of invention, and those of ordinary skill in the art are come It says, without creative efforts, is also possible to obtain other drawings based on these drawings:
Fig. 1 is the MIMO radar beam transmitting beam pattern method flow signal of the invention based on Subarray partition Figure;
Fig. 2 is 0 ° of beam position of submatrix transmitting pattern in Application Example of the invention;
Fig. 3 is -40 ° of beam position of submatrix transmitting pattern in Application Example of the invention;
Fig. 4 is to emit Subarray partition schematic diagram in Application Example of the invention.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other Embodiment shall fall within the protection scope of the present invention.
The present invention provides a kind of MIMO radar beam transmitting beam pattern method based on Subarray partition, such as Fig. 1 institute Show, comprising the steps of:
S1, MIMO radar transmitting signal model is established, the transmitting array number of the model is N;Emitted according to task setting Submatrix number M, M are equal to the target number for currently needing to detect, a transmitting submatrix corresponding a launching beam, a detection mesh Mark;The transmission power of m-th of launching beam is pm, pmFor detection energy needed for m-th of target, wherein m=1,2 ..., M.
S2, the transmitting array number of each transmitting submatrix is determined according to the transmission power of each launching beam ratio according to formula (1) nm, m=1,2 ..., M, wherein
In Application Example of the invention, the MIMO radar is transmitting-receiving with the radar system for setting half-wavelength array element spacing System emits array number N=32.1 ° is divided between the azimuth dimension discrete angular of airspace, there are an interference in attitude in airspace 20 °, the INR=50dB of interference.The target number that need to be tracked is 2, respectively in azimuth [- 40 °, 0 °], pair of two targets Answering power ratio is 0.6:1.Therefore, launching beam and submatrix number are M=2, and the corresponding transmitting submatrix in -40 ° of azimuth is the One transmitting submatrix, array number n1, the corresponding transmitting submatrix of the wave beam that 0 ° of azimuth is the second transmitting submatrix, and array number is n2, have according to formula (1)
It can be calculated n1It is 14, n2It is 18.
S3, according to each transmitting submatrix array number by it is non-homogeneous it is not overlapping in a manner of, it is a that N number of transmitting array element is divided to M Emit submatrix;
Step S3 specifically includes:
S31, m-th and the N-M+m transmitting array element are divided in m-th of transmitting submatrix, wherein m=1,2 ..., M;
As shown in figure 4, in Application Example of the invention, MIMO radar is emitted into the 1st in signal model and the 31 transmitting array elements are allocated to the first transmitting submatrix, and the 1st and the 31st transmitting array element is the boundary array element of the first transmitting submatrix. 2nd and the 32nd transmitting array element is allocated to the second transmitting submatrix, the 2nd and the 32nd transmitting array element is the second transmitting submatrix Boundary array element.
S32, by remaining N-2M transmitting array element random division into M transmitting submatrix.2nd and the 32nd transmitting battle array The boundary array element that member emits submatrix for second.
Fig. 4 is to emit Subarray partition schematic diagram in Application Example of the invention.The transmitting battle array that classification designator is 1 in Fig. 4 Member is divided to the first transmitting submatrix, and the transmitting array element that classification designator is 0 is divided to the second transmitting submatrix.First, which emits submatrix, includes 1st, 4,5,6,7,9,10,11,14,16,17,18,22,23,26,27,30,31 transmitting array element.Second, which emits submatrix, includes 2nd, 3,8,12,13,15,19,20,21,24,25,28,29,32 transmitting array element.
S4, MIMO radar beam transmitting directional diagram is designed according to determining transmitting subarray configuration.
The step S4 includes:
S41, transmitting subarray configuration variable F is calculatedm, m=1,2 ..., M;FmIt is a nmThe matrix and satisfaction of × N
Wherein FmRow vector and be 1, column vector and be 0 or 1.
S42, optimization calculate cost function and obtain the Launch Right w of m-th of submatrixm;It is described to state cost function are as follows:
Wherein:
θmEmit the angle of submatrix beam position target direction for m-th, WithRespectively θmWith direction θkFull array element emit steering vector, θkIt is dry for k-th The airspace angle disturbed, amm)=Fma(θm) it is m-th of transmitting steering vector for emitting submatrix, amk)=Fma(θk) it is k-th The transmitting steering vector of interference, amm)*Indicate amm) conjugation, K be interference number,The energy interfered for k-th, For noise power, ()TFor transposition, ()HFor conjugate transposition;
S43, MIMO radar beam transmitting directional diagram P (θ) is indicated are as follows:
Wherein, am(θ) is the steering vector of m-th of transmitting submatrix, am(θ)=Fma(θ);A (θ) is that the guiding of full array is sweared Amount, θ are airspace scanning angle.
In Application Example of the invention, the directional diagram of the first transmitting submatrix and the second transmitting submatrix is respectively such as Fig. 2, figure Shown in 3.Array element spacing, which is penetrated, due to two transmitting submatrixs middle part distributions is greater than half-wavelength, the secondary lobe of directional diagram is higher.Two The main lobe power ratio for emitting subarray patterns is 0.6039, meets design requirement.Two transmitting subarray patterns are in disturber Recess is generated to (i.e. 20 ° of attitude), is directed toward interference radiating way radiation energy to have the function that reduce in transmitting terminal.Such as figure 2, shown in Fig. 3, the first transmitting submatrix, the second final Signal to Interference plus Noise Ratio for emitting submatrix are respectively 17.51dB, 13.99dB.
Compared with prior art, the invention has the following advantages that
1) present invention is not overlapped Subarray partition mode using non-homogeneous, and hardware configuration is simple, it is easy to accomplish.So that every height Battle array aperture is equal and maximum, and the main lobe width of each launching beam is narrow, ensure that the angular resolution of each target.
2) present invention has weighed the detection demand of each target, meets the radiation energy of each target, tool simultaneously as far as possible Standby multiple target detection tracking ability simultaneously.
3) present invention has steady anti-interference ability under maximum Signal to Interference plus Noise Ratio criterion.
The above description is merely a specific embodiment, but scope of protection of the present invention is not limited thereto, any Those familiar with the art in the technical scope disclosed by the present invention, can readily occur in various equivalent modifications or replace It changes, these modifications or substitutions should be covered by the protection scope of the present invention.Therefore, protection scope of the present invention should be with right It is required that protection scope subject to.

Claims (5)

1. a kind of MIMO radar beam transmitting beam pattern method based on Subarray partition, which is characterized in that include step:
S1, MIMO radar transmitting signal model is established, the transmitting array number of the model is N;Emit submatrix according to task setting Number M, the corresponding launching beam of a transmitting submatrix;The transmission power of m-th of launching beam is pm, wherein m=1, 2,...,M;
S2, the transmission power ratio according to each wave beam determine the transmitting array number n of each transmitting submatrixm, m=1,2 ..., M, wherein
S3, according to each transmitting submatrix transmitting array number by it is non-homogeneous it is not overlapping in a manner of, it is a that N number of transmitting array element is divided to M Emit submatrix;
S4, MIMO radar beam transmitting directional diagram is designed according to determining transmitting subarray configuration.
2. the MIMO radar beam transmitting beam pattern method based on Subarray partition as described in claim 1, feature It is, the number M for emitting submatrix is equal to the target number for currently needing to detect;pmFor detection energy needed for m-th of target, Middle m=1,2 ..., M.
3. the MIMO radar beam transmitting beam pattern method based on Subarray partition as described in claim 1, feature It is, the transmitting array number n of each transmitting submatrix is determined described in step S2m, m=1,2 ..., M, in particular to according to following public affairs Formula calculates:
4. the MIMO radar beam transmitting beam pattern method based on Subarray partition as described in claim 1, feature It is, the step S3 includes:
S31, m-th and the N-M+m transmitting array element are divided in m-th of transmitting submatrix, wherein m=1,2 ..., M;
S32, by remaining N-2M transmitting array element random division into M transmitting submatrix.
5. the MIMO radar beam transmitting beam pattern method based on Subarray partition as described in claim 1, feature It is, the step S4 includes:
S41, m-th of transmitting subarray configuration variable F is calculatedm, m=1,2 ..., M;
S42, optimization calculate cost function and obtain the Launch Right w of m-th of transmitting submatrixm;The cost function are as follows:
Wherein:
θmEmit the angle of submatrix beam position target direction for m-th,WithRespectively θmWith direction θkFull array element emit steering vector, θkIt is interfered for k-th Airspace angle, amm)=Fma(θm) it is m-th of transmitting steering vector for emitting submatrix, amk)=Fma(θk) it is dry k-th The transmitting steering vector disturbed, amm)*Indicate amm) conjugation, K be interference number,The energy interfered for k-th,For Noise power, ()TFor transposition, ()HFor conjugate transposition;
S43, MIMO radar beam transmitting directional diagram P (θ) is indicated are as follows:
Wherein, am(θ) is the steering vector of m-th of transmitting submatrix, am(θ)=Fma(θ);A (θ) is the steering vector of full array, θ For airspace scanning angle.
CN201910720576.8A 2019-08-06 2019-08-06 MIMO radar beam transmitting beam pattern method based on Subarray partition Pending CN110320499A (en)

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Publication number Priority date Publication date Assignee Title
CN111913153A (en) * 2020-07-03 2020-11-10 西安电子科技大学 MIMO radar rapid multi-beam forming method based on subarray structure
CN113820665A (en) * 2021-05-06 2021-12-21 西安电子科技大学 Time diversity array subarray division-based airspace coverage enhancement method
CN115632685A (en) * 2022-10-11 2023-01-20 南京理工大学 Simultaneous multi-beam shaping method based on subarray-level phased array

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Cited By (5)

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Publication number Priority date Publication date Assignee Title
CN111913153A (en) * 2020-07-03 2020-11-10 西安电子科技大学 MIMO radar rapid multi-beam forming method based on subarray structure
CN111913153B (en) * 2020-07-03 2023-12-26 西安电子科技大学 MIMO radar rapid multi-beam forming method based on subarray structure
CN113820665A (en) * 2021-05-06 2021-12-21 西安电子科技大学 Time diversity array subarray division-based airspace coverage enhancement method
CN113820665B (en) * 2021-05-06 2023-03-14 西安电子科技大学 Airspace coverage area enhancement method based on time diversity array subarray division
CN115632685A (en) * 2022-10-11 2023-01-20 南京理工大学 Simultaneous multi-beam shaping method based on subarray-level phased array

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Application publication date: 20191011