CN110687538A - Near-field focusing-based super-beam forming method - Google Patents
Near-field focusing-based super-beam forming method Download PDFInfo
- Publication number
- CN110687538A CN110687538A CN201911031089.7A CN201911031089A CN110687538A CN 110687538 A CN110687538 A CN 110687538A CN 201911031089 A CN201911031089 A CN 201911031089A CN 110687538 A CN110687538 A CN 110687538A
- Authority
- CN
- China
- Prior art keywords
- focusing
- array
- super
- beam forming
- phase
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 238000000034 method Methods 0.000 title claims abstract description 22
- 238000003384 imaging method Methods 0.000 claims abstract description 11
- 230000010363 phase shift Effects 0.000 claims description 16
- 238000004364 calculation method Methods 0.000 claims description 9
- 238000005070 sampling Methods 0.000 claims description 6
- 230000014509 gene expression Effects 0.000 claims description 4
- 238000003780 insertion Methods 0.000 claims description 3
- 230000037431 insertion Effects 0.000 claims description 3
- 239000011159 matrix material Substances 0.000 claims description 3
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims description 3
- 238000001514 detection method Methods 0.000 abstract description 3
- 238000005516 engineering process Methods 0.000 abstract description 2
- 238000010586 diagram Methods 0.000 description 5
- 230000000694 effects Effects 0.000 description 5
- 230000009286 beneficial effect Effects 0.000 description 2
- 230000006866 deterioration Effects 0.000 description 2
- 238000003672 processing method Methods 0.000 description 2
- 238000004458 analytical method Methods 0.000 description 1
- 230000015572 biosynthetic process Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 230000011218 segmentation Effects 0.000 description 1
- 230000004304 visual acuity Effects 0.000 description 1
Images
Classifications
-
- 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
- G01S15/00—Systems using the reflection or reradiation of acoustic waves, e.g. sonar systems
- G01S15/88—Sonar systems specially adapted for specific applications
- G01S15/89—Sonar systems specially adapted for specific applications for mapping or imaging
-
- 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
- G01S7/52—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S15/00
- G01S7/523—Details of pulse systems
- G01S7/526—Receivers
Landscapes
- Engineering & Computer Science (AREA)
- Radar, Positioning & Navigation (AREA)
- Remote Sensing (AREA)
- Physics & Mathematics (AREA)
- Computer Networks & Wireless Communication (AREA)
- General Physics & Mathematics (AREA)
- Acoustics & Sound (AREA)
- Measurement Of Velocity Or Position Using Acoustic Or Ultrasonic Waves (AREA)
Abstract
The invention discloses a super-beam forming method based on near-field focusing, and belongs to the technical field of sonar signal processing. Receiving array element domain data; calculating a focusing ring coefficient; applying a focal ring number to the super-beamforming; and performing imaging processing on the beam domain data after the beam forming processing. The method has the advantages of narrow main lobe of the ultra-beam and low side lobe, can effectively improve the detection performance of the sonar system, reduce the false alarm probability and improve the estimation precision of the target azimuth; the adoption of the sectional focusing super-beam forming technology can carry out focusing compensation on the phase in the near-field range, thereby making up the problem of image blurring caused by phase mismatch.
Description
Technical Field
The invention relates to the technical field of sonar signal processing, in particular to a super-beam forming method based on near-field focusing.
Background
The high-frequency multi-beam sonar is an important instrument for detecting the current marine target and is mainly applied to detecting, positioning and classifying the short-distance small targets in the sea. However, the image sonar has the problems of imaging blurring and the like in a near-field working area, and the working performance of the equipment is seriously influenced. This is because the conventional beam forming method assumes a plane wave, and does not perform focus compensation on the near-field range, which causes phase mismatch, a main lobe of a beam becomes wider, and side lobes increase, which causes a reduction in azimuth resolution, and causes a serious deterioration in sonar image performance. Meanwhile, the traditional conventional beam forming has wider main lobe and higher side lobe, and is not beneficial to the resolution and identification of multiple targets.
Disclosure of Invention
The invention aims to provide a super-beam forming method based on near-field focusing, which aims to solve the problem of imaging blurring caused by the fact that a traditional beam is formed in a near-field working area.
In order to solve the above technical problem, the present invention provides a method for forming a super-beam based on near-field focusing, comprising:
receiving array element domain data;
calculating a focusing ring coefficient;
applying a focal ring number to the super-beamforming;
and performing imaging processing on the beam domain data after the beam forming processing.
Optionally, calculating the focus ring coefficient includes:
the near field condition isWherein L is the effective array length of the array, lambda is the wavelength, and D is the distance of the near field range;
the phase shift formed by the acoustic focusing phase shift wave beam is calculated according to a spherical wave rule, acoustic focusing is carried out on the acoustic wave emitted from a certain point in space, and left and right array acoustic focusing can be formed;
calculating the sound path difference or phase difference of the focusing point reaching each element of the receiving array, then compensating the sound path difference or phase difference during receiving processing, and forming signals transmitted from the receiving point after compensation to realize in-phase superposition so that the sound array focuses on the focusing point in space;
left half matrix phase difference phiiThe expression is as follows:
wherein R is0Is the focusing distance, λ is the wavelength, N is the total number of elements, i is the number of elements, d is the interval of elements, θkIs the angle of incidence;
by inserting phase shift angles psi between adjacent array elementskThen, the output corresponding to each array element is:
t is time, k is the beam number, j is the unit of imaginary number, ω 02 pi f t, f is the center frequency, phiihIs a phase shift, ψikIs phase compensation of which-phiik=φikThen, the above formula is rewritten as:
the phase difference is shown in the formula, and the formula is a calculation formula of a phase shift compensation angle of spherical waves;
the active sonar transmits a pulse signal to water through a transmitting transducer, the pulse signal is reflected by a target, the distance is measured by using the time difference between a received echo and the transmitted pulse signal, and the round-trip propagation time is as follows:
wherein R is the target distance and c is the sound velocity;
after the echo signal is sampled, the relation between the sampling point N and the distance is as follows:
fsthe sampling rate is used for calculating the insertion positions of the phase compensation coefficients of different focusing distances according to the formula.
Optionally, applying a focal ring number to the superbeam forming comprises:
equally dividing the receiving linear array into a left sub-array and a right sub-array, wherein the left sub-array and the right sub-array are respectively arranged according toThe base band conventional wave beam forming method is used for forming wave beams to obtain sum wave beams SLSum and difference beam SRAnd then:
sum beam SS=|SL|+|SR|
Difference beam SD=|SL-SR|
Subtracting the sum beam from the difference beam, and performing weighting calculation to obtain the super beam SHThe output is:
wherein n is the super-beam index and is within the range of 0.3-1, and is used for adjusting the main lobe width and the side lobe height of the output beam.
Optionally, the near-field model is adopted to calculate the beam, super-beam forming is performed, and a segmented focusing algorithm is adopted, so that the width of the main lobe is compressed while the side lobe is greatly reduced.
The invention provides a super-beam forming method based on near-field focusing, which receives array element domain data; calculating a focusing ring coefficient; applying a focal ring number to the super-beamforming; and performing imaging processing on the beam domain data after the beam forming processing.
The invention has the following beneficial effects:
(1) the method has the advantages of narrow main lobe of super-beam and low side lobe, can effectively improve the detection performance of the sonar system, reduce the false alarm probability and improve the estimation precision of the target azimuth;
(2) the method adopts a segmented focusing super-beam forming technology to perform focusing compensation on the phase within a near-field range, so that the problem of image blurring caused by phase mismatch is solved;
(3) the method effectively improves the resolving power of the sonar on a plurality of targets in different directions in the space, and has the advantages of quick computing power, simple structure and easy realization while the focusing super-beam forming precision is not lost.
Drawings
FIG. 1 is a schematic flow chart of a near-field focusing-based super-beam forming method provided by the invention;
FIG. 2 is a schematic diagram of left and right acoustic focusing;
FIG. 3 is a schematic diagram of a right beam focus A point;
FIG. 4 is a schematic diagram of a super-beamforming processing method;
FIG. 5 is a diagram of the effects of conventional beamforming, unfocused;
fig. 6 is a diagram showing effects of super-beamforming and near-field focusing.
Detailed Description
The super beam forming method based on near field focusing proposed by the present invention is further described in detail with reference to the accompanying drawings and specific embodiments. Advantages and features of the present invention will become apparent from the following description and from the claims. It is to be noted that the drawings are in a very simplified form and are not to precise scale, which is merely for the purpose of facilitating and distinctly claiming the embodiments of the present invention.
Example one
The invention provides a near-field focusing-based super-beam forming method, the flow of which is shown in figure 1 and comprises the following steps:
receiving array element domain data;
calculating a focusing ring coefficient;
applying a focal ring number to the super-beamforming;
and performing imaging processing on the beam domain data after the beam forming processing.
Specifically, the first step: receiving data:
receiving array element domain data;
step two: calculating the focusing ring coefficient:
the near field conditions were:
wherein, L is the effective array length of the array, lambda is the wavelength, and D is the distance of the near field range.
The phase shift formed by the acoustic focusing phase shift wave beam is calculated according to the spherical wave rule, acoustic focusing is carried out on the acoustic wave emitted from a certain point in space, and left and right array sound can be formedFocusing, as shown in FIG. 2; in fig. 2, N is the number of elements, o is the geometric center of the array, d is the element spacing, Fo is the normal, and the focal length of the right beam Ao is RoRight sideLeft beam focal length Bo ═ RoLeft side ofThe included angles between Ao and Fo and between Bo and Fo are the left and right beam pointing angles, 1<i<j<N。
Firstly, the sound path difference or phase difference of the sound wave of the focusing point A (or B) reaching each element of the receiving array is calculated, then the sound path difference or phase difference is compensated during receiving processing, and after compensation, the signals transmitted from the receiving point are formed to realize in-phase superposition, so that the sound array is focused on the space A (or B). The spherical wave phase shift compensation angle calculation formula is described below. For simplicity of analysis, the right beam is taken as an example, as shown in fig. 3.
In fig. 3, the focal length of the right beam is Ro, and Ai and Aj are calculated by using the triangular pythagorean theorem: distances Ai and Aj from a focusing point A to primitives i and j, corresponding sound paths Ai-Ro and Aj-Ro and left and right half matrix phase differences phii、φj. And (4) calculating the result: phi is aiAnd phijThe expressions are identical, and the phase difference expression is:
wherein R is0Is the focusing distance, λ is the wavelength, N is the total number of elements, i is the number of elements, d is the interval of elements, θkIs the angle of incidence;
by inserting phase shift angles psi between adjacent array elementskThen, the output corresponding to each array element is:
t is time, k is the beam number, j is the unit of imaginary number, ω 02 pi f t, f is the center frequency, phiihIs a phase shift, ψikIs phase compensation of which-phiik=φikThen, the above formula is rewritten as:
φikis the phase difference, and the formula (1.4) is the calculation formula of the phase shift compensation angle of the spherical wave.
As can be known from the formula (1.4), the phase compensation coefficient formed by the focused beam in the near-field environment is a two-dimensional function of the signal incidence angle theta and the distance R between the sound source and the center of the array element. For single-point focusing, only the beam performance in the area near the focus can be guaranteed, and the beam performance will be deteriorated if targets at other positions are not accurately compensated. Therefore, the whole near field area is divided into a plurality of segments in distance, and the focus compensation is respectively carried out on the middle point of each segment in distance. The more segmentation, the smaller the beam error, the better the focusing performance, and the larger the calculation amount, the more difficult the implementation. In actual engineering, the balance between the amount of calculation and the focusing performance needs to be considered.
The active sonar transmits a pulse signal to water through a transmitting transducer, the pulse signal is reflected by a target, the distance is measured by using the time difference between a received echo and the transmitted pulse signal, and the round-trip propagation time is as follows:
wherein R is the target distance and c is the sound velocity;
after the echo signal is sampled, the relation between the sampling point N and the distance is as follows:
fsis the sampling rate, the insertion position of the phase compensation coefficients for different focusing distances is calculated according to equation (1.6).
Step three: focused super-beam forming:
and applying the ring focusing system number obtained in the second step to the following super-beam forming.
The super-beam forming processing method is as shown in fig. 4, the receiving linear array is equally divided into a left sub-array and a right sub-array, the left sub-array and the right sub-array are respectively subjected to beam forming according to a baseband conventional beam forming method to obtain a sum beam SLSum and difference waveBundle SRThe beam-forming algorithm, according to the definition of the superbeam algorithm,
sum beam SS=|SL|+|SR| (1.7)
Difference beam SD=|SL-SR| (1.8)
Subtracting the sum beam from the difference beam, and performing weighting calculation to obtain the super beam SHThe output is:
wherein n is the super-beam index and is within the range of 0.3-1, and is used for adjusting the main lobe width and the side lobe height of the output beam.
Step four: and (3) sending data:
and obtaining the beam domain data after the beam forming processing through the steps, and performing imaging processing. Fig. 5 adopts a far-field model to calculate a beam, and performs conventional beam forming, but does not adopt a focusing algorithm, so that it can be seen that a higher side lobe causes deterioration of near-field imaging effect, the closer the target is, the poorer the imaging effect is, and the target distance is deviated, so that the positioning is inaccurate. Fig. 6 adopts a near-field model to calculate a beam, carries out super-beam formation, adopts a sectional focusing algorithm, greatly reduces side lobes, simultaneously compresses the width of a main lobe, improves the resolution capability of sonar on a plurality of targets in the space, effectively improves the detection performance of the system, reduces the false alarm probability, improves the estimation precision of the target azimuth, and has optimal imaging effect.
The above description is only for the purpose of describing the preferred embodiments of the present invention, and is not intended to limit the scope of the present invention, and any variations and modifications made by those skilled in the art based on the above disclosure are within the scope of the appended claims.
Claims (4)
1. A super beam forming method based on near field focusing is characterized by comprising the following steps:
receiving array element domain data;
calculating a focusing ring coefficient;
applying a focal ring number to the super-beamforming;
and performing imaging processing on the beam domain data after the beam forming processing.
2. The near-field focusing based super-beamforming method according to claim 1, wherein calculating the number of focus ring comprises:
the near field condition isWherein L is the effective array length of the array, lambda is the wavelength, and D is the distance of the near field range;
the phase shift formed by the acoustic focusing phase shift wave beam is calculated according to a spherical wave rule, acoustic focusing is carried out on the acoustic wave emitted from a certain point in space, and left and right array acoustic focusing can be formed;
calculating the sound path difference or phase difference of the focusing point reaching each element of the receiving array, then compensating the sound path difference or phase difference during receiving processing, and forming signals transmitted from the receiving point after compensation to realize in-phase superposition so that the sound array focuses on the focusing point in space;
left half matrix phase difference phiiThe expression is as follows:
wherein R is0Is the focusing distance, λ is the wavelength, N is the total number of elements, i is the number of elements, d is the interval of elements, θkIs the angle of incidence;
by inserting phase shift angles psi between adjacent array elementskThen, the output corresponding to each array element is:
t is time, k is the beam number, j is the unit of imaginary number, ω02 pi f t, f is the center frequency, phiihIs a phase shift, ψikIs phase compensation of which-phiik=φikThen, the above formula is rewritten as:
φikthe phase difference is shown in the formula, and the formula is a calculation formula of a phase shift compensation angle of spherical waves;
the active sonar transmits a pulse signal to water through a transmitting transducer, the pulse signal is reflected by a target, the distance is measured by using the time difference between a received echo and the transmitted pulse signal, and the round-trip propagation time is as follows:
wherein R is the target distance and c is the sound velocity;
after the echo signal is sampled, the relation between the sampling point N and the distance is as follows:
fsthe sampling rate is used for calculating the insertion positions of the phase compensation coefficients of different focusing distances according to the formula.
3. The near-field focusing based super beam forming method according to claim 1, wherein applying a focal ring number to super beam forming comprises:
equally dividing the receiving linear array into a left sub-array and a right sub-array, and respectively performing beam forming on the left sub-array and the right sub-array according to a baseband conventional beam forming method to obtain a sum beam SLSum and difference beam SRAnd then:
sum beam SS=|SL|+|SR|
Difference beam SD=|SL-SR|
Subtracting the sum beam from the difference beam, and performing weighting calculation to obtain the super beam SHThe output is:
wherein n is the super-beam index and is within the range of 0.3-1, and is used for adjusting the main lobe width and the side lobe height of the output beam.
4. The near-field focusing-based super-beam forming method of claim 3, wherein a near-field model is used for calculating a beam, super-beam forming is performed, and a segmented focusing algorithm is used for compressing the width of a main lobe while greatly reducing side lobes.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201911031089.7A CN110687538A (en) | 2019-10-28 | 2019-10-28 | Near-field focusing-based super-beam forming method |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201911031089.7A CN110687538A (en) | 2019-10-28 | 2019-10-28 | Near-field focusing-based super-beam forming method |
Publications (1)
Publication Number | Publication Date |
---|---|
CN110687538A true CN110687538A (en) | 2020-01-14 |
Family
ID=69114256
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN201911031089.7A Pending CN110687538A (en) | 2019-10-28 | 2019-10-28 | Near-field focusing-based super-beam forming method |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN110687538A (en) |
Cited By (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN112729742A (en) * | 2020-12-25 | 2021-04-30 | 西安理工大学 | Impact positioning method based on probability imaging |
CN113030983A (en) * | 2021-03-17 | 2021-06-25 | 中国科学院声学研究所 | Near-field point-by-point focusing DOA method based on depth sounding side-scan sonar |
CN113391301A (en) * | 2021-05-26 | 2021-09-14 | 南京理工大学 | Super-beam forming method and system based on time modulation linear array |
CN114488008A (en) * | 2022-01-19 | 2022-05-13 | 中国科学院声学研究所 | Square ultrashort baseline positioning method |
CN115902853A (en) * | 2023-03-09 | 2023-04-04 | 中国科学院深海科学与工程研究所 | Synthetic receiving aperture focusing beam forming method suitable for high-speed seabed surveying and mapping |
Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN104215965A (en) * | 2014-09-05 | 2014-12-17 | 中国船舶重工集团公司第七一五研究所 | Gear dividing method of high-frequency sonar near field focusing distance |
CN109116334A (en) * | 2018-10-19 | 2019-01-01 | 海鹰企业集团有限责任公司 | Sonar wave beams forming method and system based on super beam weighting |
CN109283536A (en) * | 2018-09-01 | 2019-01-29 | 哈尔滨工程大学 | A kind of multibeam echosounding sonar water body imaging beam formation algorithm |
CN109581388A (en) * | 2018-12-20 | 2019-04-05 | 华中科技大学 | A kind of near field wide viewing angle Beamforming Method of real time three-dimensional imaging sonar |
CN110235022A (en) * | 2016-12-15 | 2019-09-13 | 达尔豪斯大学 | For using the compound Fresnel that is concerned with to focus the system and method for carrying out Ultrasound beamforming |
-
2019
- 2019-10-28 CN CN201911031089.7A patent/CN110687538A/en active Pending
Patent Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN104215965A (en) * | 2014-09-05 | 2014-12-17 | 中国船舶重工集团公司第七一五研究所 | Gear dividing method of high-frequency sonar near field focusing distance |
CN110235022A (en) * | 2016-12-15 | 2019-09-13 | 达尔豪斯大学 | For using the compound Fresnel that is concerned with to focus the system and method for carrying out Ultrasound beamforming |
CN109283536A (en) * | 2018-09-01 | 2019-01-29 | 哈尔滨工程大学 | A kind of multibeam echosounding sonar water body imaging beam formation algorithm |
CN109116334A (en) * | 2018-10-19 | 2019-01-01 | 海鹰企业集团有限责任公司 | Sonar wave beams forming method and system based on super beam weighting |
CN109581388A (en) * | 2018-12-20 | 2019-04-05 | 华中科技大学 | A kind of near field wide viewing angle Beamforming Method of real time three-dimensional imaging sonar |
Non-Patent Citations (2)
Title |
---|
张昌: "图像声纳的聚焦波束形成技术研究及实现", 《中国优秀硕士学位论文全文数据库 基础科学辑》 * |
杨东方, 《海洋出版社》 * |
Cited By (9)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN112729742A (en) * | 2020-12-25 | 2021-04-30 | 西安理工大学 | Impact positioning method based on probability imaging |
CN112729742B (en) * | 2020-12-25 | 2023-08-22 | 西安理工大学 | Impact positioning method based on probability imaging |
CN113030983A (en) * | 2021-03-17 | 2021-06-25 | 中国科学院声学研究所 | Near-field point-by-point focusing DOA method based on depth sounding side-scan sonar |
CN113030983B (en) * | 2021-03-17 | 2021-12-28 | 中国科学院声学研究所 | Near-field point-by-point focusing DOA method based on depth sounding side-scan sonar |
CN113391301A (en) * | 2021-05-26 | 2021-09-14 | 南京理工大学 | Super-beam forming method and system based on time modulation linear array |
CN114488008A (en) * | 2022-01-19 | 2022-05-13 | 中国科学院声学研究所 | Square ultrashort baseline positioning method |
CN114488008B (en) * | 2022-01-19 | 2024-10-11 | 中国科学院声学研究所 | Square ultrashort baseline positioning method |
CN115902853A (en) * | 2023-03-09 | 2023-04-04 | 中国科学院深海科学与工程研究所 | Synthetic receiving aperture focusing beam forming method suitable for high-speed seabed surveying and mapping |
CN115902853B (en) * | 2023-03-09 | 2023-05-12 | 中国科学院深海科学与工程研究所 | Synthetic receiving aperture focusing beam forming method suitable for high-speed submarine surveying and mapping |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN110687538A (en) | Near-field focusing-based super-beam forming method | |
CN107831480B (en) | Missile-borne radar sum-difference channel steady self-adaptive clutter suppression method | |
CN109581388B (en) | Near-field wide-view-angle beam forming method of real-time three-dimensional imaging sonar | |
CN109765521B (en) | Beam domain imaging method based on subarray division | |
Zhang et al. | Influence of the stop-and-hop assumption on synthetic aperture sonar imagery | |
CN108836389A (en) | Plane wave reference point is concerned with adaptive beam compound imaging method | |
CN109557526B (en) | Vector hydrophone sparse array arrangement method based on compressed sensing theory | |
Chi et al. | High-resolution real-time underwater 3-D acoustical imaging through designing ultralarge ultrasparse ultra-wideband 2-D arrays | |
CN113126030B (en) | Deep sea direct sound zone target depth estimation method based on broadband sound field interference structure | |
CN103513238B (en) | A kind of target azimuth direction-finding method of Regularization least square subspace intersection | |
CN102846336B (en) | Ultrasonic imaging delay control method and device | |
JP2533287B2 (en) | Linear array lateral motion compensation method | |
CN109491009B (en) | Optical fiber combined array and grating lobe suppression method based on optical fiber combined array | |
CN105824016B (en) | The steady space-time adaptive processing method of motion platform detections of radar treetop level target | |
CN113671485B (en) | ADMM-based two-dimensional DOA estimation method for meter wave area array radar | |
CN111983599A (en) | Target two-dimensional DOA estimation method based on azimuth-pitch dictionary | |
CN109375197B (en) | Small-size vector array low-frequency scattering correction method | |
CN116679306A (en) | Extended aperture sonar imaging method based on coefficient correction | |
CN114563760B (en) | Second-order super-beam forming method, equipment and medium based on SCA array | |
CN113820654B (en) | S-band radar target low elevation DOA estimation method based on beam domain dimension reduction | |
CN113075633A (en) | Target positioning method based on distance-pitching joint dictionary | |
CN109029387B (en) | Wave beam internal fitting multi-beam sounding algorithm | |
CN112711018A (en) | Near-field space mesh structure focusing beam forming method | |
CN111551943A (en) | DAMAS 2-based sparse array high-resolution three-dimensional acoustic imaging method and system | |
CN110244288A (en) | A kind of sonar array signal processing method based on focusing playback principle |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
PB01 | Publication | ||
PB01 | Publication | ||
SE01 | Entry into force of request for substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
RJ01 | Rejection of invention patent application after publication | ||
RJ01 | Rejection of invention patent application after publication |
Application publication date: 20200114 |