A method for electromagnetic spectrum monitoring network deployment based on regular hexagon
By adopting a hexagonal-based electromagnetic spectrum monitoring network deployment method, the problems of high equipment interference and high redundancy in the square deployment method are solved. This method achieves efficient coverage and connectivity of the electromagnetic spectrum monitoring network, reduces the number of devices and interference, and improves the stability of data transmission.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- NAT UNIV OF DEFENSE TECH
- Filing Date
- 2023-06-21
- Publication Date
- 2026-07-28
AI Technical Summary
The existing square deployment method results in significant interference between electromagnetic spectrum monitoring network devices, high redundancy, and affects network coverage quality and connectivity.
An electromagnetic spectrum monitoring network deployment method based on regular hexagons is adopted. By constructing a Boolean sensing model, the optimal deployment mode is calculated with the optimization objectives of maximizing coverage and minimizing redundant coverage. Based on the center point and side length of the regular hexagon, a regular hexagonal grid is constructed within the rectangle to determine the location of the electromagnetic spectrum monitoring equipment.
It achieves full coverage and connectivity of the task area, reduces the number of devices and deployment costs, reduces interference between devices, and improves the stability and reliability of data transmission.
Smart Images
Figure CN116684888B_ABST
Abstract
Description
Technical Field
[0001] This application relates to the field of communication network coverage technology, and more specifically, to a method for deploying an electromagnetic spectrum monitoring network based on a regular hexagon. Background Technology
[0002] The deployment of electromagnetic spectrum monitoring networks must consider both coverage and connectivity. Network coverage determines the network's ability to monitor the electromagnetic environment, impacting the completeness and accuracy of electromagnetic environment data acquisition and reflecting the quality of the "sensing and monitoring" provided by the network. Network connectivity determines the degree of "close correlation" between electromagnetic spectrum monitoring equipment within the mission area, affecting the effectiveness and timeliness of data transmission and aggregation, and is a prerequisite for ensuring the network meets its functional requirements. However, all network deployment organizers also hope that the deployed network not only meets the performance requirements of electromagnetic spectrum monitoring network applications but also ensures high efficiency and effectiveness in deployment.
[0003] Currently, a square deployment method exists in the field of communications, which deploys nodes at the four vertices of a square. This method has high redundancy, and the deployment positions are too close together, resulting in greater interference between devices and affecting the quality of notifications. Summary of the Invention
[0004] To address at least one deficiency or improvement requirement of the prior art, this invention provides a method for deploying an electromagnetic spectrum monitoring network based on a regular hexagon. This method can effectively handle and solve the problem of boundary coverage of the task area, facilitate the planning, design, and solution of the number of electromagnetic spectrum monitoring devices within the task area, and can be used to guide the location planning of small-scale static electromagnetic spectrum monitoring networks.
[0005] To achieve the above objectives, according to a first aspect of the present invention, a method for deploying an electromagnetic spectrum monitoring network based on a regular hexagon is provided, the method comprising: A Boolean sensing model is constructed based on the parameters of electromagnetic spectrum monitoring equipment. The optimal deployment mode is calculated with the maximum coverage and minimum redundant coverage as the optimization objectives. Construct the minimum bounding rectangle of the electromagnetic spectrum coverage task area, and establish a Cartesian coordinate system with any two adjacent sides of the minimum bounding rectangle as the x-axis and y-axis; Deploying electromagnetic spectrum monitoring equipment in the optimal deployment mode specifically includes: by As the center point of the regular hexagon, Using the side length of the regular hexagon as an example, let the x-axis coincide with the horizontal axis of symmetry of the regular hexagon to construct the first regular hexagon; Translate the first regular hexagon along the y-axis. The second regular hexagon is obtained, and the first regular hexagon is translated along the x-axis. Then translate along the y-axis The third regular hexagon is obtained. The above translation is performed multiple times to construct a regular hexagonal grid within the smallest bounding rectangle until the regular hexagonal grid covers the smallest bounding rectangle and the number of regular hexagons is minimized. The center positions of all hexagons inside and on the sides of the minimum circumscribed rectangular coordinate system are determined as the deployment locations of the electromagnetic spectrum monitoring equipment; wherein, The sensing radius of the electromagnetic spectrum monitoring equipment; The Boolean sensing model is constructed based on the parameters of the electromagnetic spectrum monitoring equipment. With the optimization objectives of maximizing coverage and minimizing redundant coverage, the optimal deployment mode is calculated, specifically including: Based on the Boolean sensing model, sensing radius, transmission radius of the electromagnetic spectrum monitoring device, and distances between neighboring nodes of the electromagnetic spectrum monitoring device, a coverage control association model for the electromagnetic spectrum monitoring device is constructed, as shown below. ; in, The coverage and connectivity of electromagnetic spectrum monitoring equipment are described using a Boolean sensing model. This indicates the transmission radius of the electromagnetic spectrum monitoring equipment. This indicates the sensing radius of the electromagnetic spectrum monitoring equipment. This is expressed as the Euclidean distance between electromagnetic spectrum monitoring equipment. The sensing radius and transmission radius are mutually restrictive parameters for designing network coverage and network connectivity. The distance between neighboring equipment is a limiting condition for achieving network coverage and connectivity under the joint constraints of the sensing radius and transmission radius, and it also affects network redundancy coverage. The coverage control correlation model achieves maximum coverage and minimum redundancy coverage by constraining the Euclidean distance between electromagnetic spectrum monitoring equipment.
[0006] Furthermore, the above-mentioned hexagon-based electromagnetic spectrum monitoring network deployment method, wherein the Boolean sensing model is constructed based on the parameters of the electromagnetic spectrum monitoring equipment, and the optimal deployment mode is calculated with the maximum coverage and minimum redundant coverage as optimization objectives, specifically includes: A Boolean sensing model is constructed based on the parameters of the electromagnetic spectrum monitoring equipment, and the coverage area of the electromagnetic spectrum monitoring equipment is set to a circle. The sensing radius of an electromagnetic spectrum monitoring device is calculated based on its transmit power and antenna height.
[0007] Furthermore, in the above-mentioned electromagnetic spectrum monitoring network deployment method based on regular hexagons, when the Euclidean distance between the electromagnetic spectrum monitoring equipment is... At that time, electromagnetic spectrum monitoring equipment and The sensory region is connected; When the Euclidean distance between the electromagnetic spectrum monitoring equipment At that time, electromagnetic spectrum monitoring equipment and The sensing regions are connected and interconnected; When the Euclidean distance between the electromagnetic spectrum monitoring equipment At that time, electromagnetic spectrum monitoring equipment and The sensory regions are not connected.
[0008] Furthermore, in the above-mentioned electromagnetic spectrum monitoring network deployment method based on regular hexagons, when the Euclidean distance between the electromagnetic spectrum monitoring equipment is... At that time, the coverage area of electromagnetic spectrum monitoring equipment was the largest.
[0009] Furthermore, the above-mentioned method for deploying an electromagnetic spectrum monitoring network based on regular hexagons also includes: The coverage rate is calculated based on the already covered area of the electromagnetic spectrum coverage task area and the total area of the electromagnetic spectrum coverage task area. As shown in the following formula, ; in, This indicates the area of the mission region covered by the electromagnetic spectrum. This indicates the coverage area of the electromagnetic spectrum monitoring equipment. The number of electromagnetic spectrum monitoring devices. This represents a function used to calculate the area of the task region; The coverage efficiency of the electromagnetic spectrum coverage mission area is calculated as shown in the following formula. .
[0010] Furthermore, the above-mentioned method for deploying an electromagnetic spectrum monitoring network based on regular hexagons also includes: The coverage density of the electromagnetic spectrum coverage area is calculated as shown in the following formula. ; in, This represents the number of electromagnetic spectrum monitoring devices within the mission area.
[0011] In summary, compared with the prior art, the above-described technical solutions conceived by this invention can achieve the following beneficial effects: (1) The electromagnetic spectrum monitoring network deployment method based on regular hexagon provided by the present invention models the electromagnetic spectrum monitoring equipment and optimizes the coverage of the electromagnetic spectrum monitoring network in the task area with the maximum coverage range and the minimum redundant coverage. It can effectively handle and solve the boundary coverage problem of the task area, and is easy to plan and solve the number of electromagnetic spectrum monitoring equipment in the task area. It can be used to guide the location planning of small-scale static electromagnetic spectrum monitoring networks.
[0012] (2) The electromagnetic spectrum monitoring network deployment method based on regular hexagons provided by the present invention, in order to As the center point of the regular hexagon, Using the side length of the regular hexagon as an example, let the x-axis coincide with the horizontal axis of symmetry of the regular hexagon to construct a first regular hexagon; then translate the first regular hexagon along the y-axis. The second regular hexagon is obtained, and the first regular hexagon is translated along the x-axis. Then translate along the y-axis The third regular hexagon is obtained. This translation is repeated multiple times to construct a regular hexagonal mesh within the smallest bounding rectangle, until the regular hexagonal mesh covers the smallest bounding rectangle and the number of regular hexagons is minimized. In this way, the rectangular task area is divided into several neatly arranged regular hexagons, and the side length of each regular hexagon is set to... This ensures full communication coverage of the mission area, and deploying electromagnetic spectrum equipment in this way minimizes the number of electromagnetic spectrum devices that need to be deployed.
[0013] (3) The electromagnetic spectrum monitoring network deployment method based on regular hexagon provided by the present invention sets the side length of the regular hexagon to be... The distance between each electromagnetic spectrum device is Calculations show that this method has less redundancy and requires fewer devices than the quadrilateral deployment method, reducing deployment costs while ensuring full communication coverage of the task area.
[0014] (4) The electromagnetic spectrum monitoring network deployment method based on regular hexagon provided by the present invention adopts a regular hexagon deployment mode, and sets the side length of the regular hexagon to be... The distance between each electromagnetic spectrum device is Because the distance between electromagnetic spectrum monitoring devices is relatively greater, the communication interference between them is also smaller. Therefore, the data transmission is more stable and reliable during the monitoring and communication process. Attached Figure Description
[0015] To more clearly illustrate the technical solutions in the embodiments of this application, the accompanying drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0016] Figure 1 A flowchart illustrating a method for deploying an electromagnetic spectrum monitoring network based on a regular hexagon, provided in an embodiment of this application; Figure 2 This is a schematic diagram of the coverage of the electromagnetic spectrum monitoring device provided in the embodiments of this application; Figure 3 This is a schematic diagram of another electromagnetic spectrum monitoring device coverage provided in an embodiment of this application; Figure 4 A schematic diagram of the coverage of an electromagnetic spectrum monitoring device based on a regular hexagon provided in an embodiment of this application; Figure 5 A schematic diagram of a hexagonal coverage grid for the electromagnetic spectrum coverage task area provided in this application embodiment. Detailed Implementation
[0017] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention. Furthermore, the technical features involved in the various embodiments of this invention described below can be combined with each other as long as they do not conflict with each other.
[0018] The terms "first," "second," "third," etc., in the specification, claims, and accompanying drawings of this application are used to distinguish different objects, not to describe a specific order. Furthermore, the terms "comprising" and "having," and any variations thereof, are intended to cover non-exclusive inclusion. For example, a process, method, system, product, or apparatus that includes a series of steps or units is not limited to the listed steps or units, but may optionally include steps or units not listed, or may optionally include other steps or units inherent to these processes, methods, products, or apparatuses.
[0019] The deployment and coverage of electromagnetic spectrum monitoring networks are most closely related. The location and deployment of various electromagnetic spectrum monitoring equipment within the mission area directly affect the coverage performance of the electromagnetic spectrum monitoring network, while the coverage performance requirements also influence the deployment design of the electromagnetic spectrum monitoring network. To achieve the coverage and connectivity requirements of the electromagnetic spectrum monitoring network through coverage control, and to reduce redundant coverage areas, it is necessary to analyze and model the conditions and interrelationships of coverage control, and to measure the coverage quality of the electromagnetic spectrum monitoring network through a coverage control evaluation model.
[0020] This application provides a method for deploying an electromagnetic spectrum monitoring network based on regular hexagons. Figure 1 This is a flowchart illustrating a method for deploying an electromagnetic spectrum monitoring network based on a regular hexagon, as provided in an embodiment of this application. Please refer to [link / reference]. Figure 1 The method includes the following steps: (1) Based on the parameters of the electromagnetic spectrum monitoring equipment, a Boolean sensing model is constructed, and the optimal deployment mode is calculated with the maximum coverage and the minimum redundant coverage as the optimization objectives.
[0021] Specifically, a Boolean sensing model is constructed based on the parameters of electromagnetic spectrum monitoring equipment, and the coverage area of the electromagnetic spectrum monitoring equipment is set as a circle. The Boolean sensing model can quickly and effectively describe the monitoring coverage area of each electromagnetic spectrum monitoring device and facilitate coverage calculations, effectively simplifying the complexity of research on electromagnetic spectrum monitoring network coverage control problems.
[0022] The sensing radius of an electromagnetic spectrum monitoring device is calculated based on its transmit power and antenna height. The sensing radius represents the intensity of the monitoring capability of the electromagnetic spectrum monitoring equipment; a larger sensing radius results in a larger sensing range, thus increasing the distance between monitoring devices. The sensing radius of an electromagnetic spectrum monitoring device depends on numerous influencing factors, including the transmit power of its monitoring system, antenna height, surrounding natural environment, the monitored frequency, and the antenna position of the monitored device. This application only considers the inherent parameters of the monitoring system, such as transmit power and antenna height, for the sensing distance provided by a single measured frequency point, ignoring the influence of geographical environment and climate conditions on the sensing distance.
[0023] Electromagnetic spectrum monitoring equipment typically uses wireless communication for data transmission. The transmission radius is expressed as the data transmission distance of the electromagnetic spectrum monitoring equipment. The greater the transmission distance, the better the network connectivity, which is a limiting condition affecting the deployment location of electromagnetic spectrum monitoring equipment.
[0024] Based on the Boolean sensing model, sensing radius, transmission radius of the electromagnetic spectrum monitoring device, and distances between neighboring nodes of the electromagnetic spectrum monitoring device, a coverage control association model for the electromagnetic spectrum monitoring device is constructed, as shown below. ; in, The coverage and connectivity of electromagnetic spectrum monitoring equipment are described using a Boolean sensing model. This indicates the transmission radius of the electromagnetic spectrum monitoring equipment. This indicates the sensing radius of the electromagnetic spectrum monitoring equipment. This is expressed as the Euclidean distance between electromagnetic spectrum monitoring equipment.
[0025] An electromagnetic spectrum monitoring device can simultaneously form neighbor relationships with multiple electromagnetic spectrum monitoring devices, creating a neighbor set. Only after forming neighbor relationships can the monitoring areas of each electromagnetic spectrum monitoring device be connected, resulting in overlap of monitoring areas between neighboring devices.
[0026] Sensing radius and transmission radius are mutually restrictive parameters for designing network coverage and connectivity. The distance between neighboring equipment is a limiting condition for achieving network coverage and connectivity under the joint constraints of sensing radius and transmission radius, and it also affects network redundancy coverage. The coverage control correlation model constrains the Euclidean distance between electromagnetic spectrum monitoring equipment to achieve maximum coverage while minimizing redundancy coverage.
[0027] Figure 2 This is a schematic diagram of the coverage of the electromagnetic spectrum monitoring equipment provided in the embodiments of this application. The Euclidean distance between the electromagnetic spectrum monitoring devices is... At that time, electromagnetic spectrum monitoring equipment and The sensing area is connected; when the Euclidean distance between electromagnetic spectrum monitoring equipment is... At that time, electromagnetic spectrum monitoring equipment and The sensing areas are connected and interconnected; when the Euclidean distance between electromagnetic spectrum monitoring equipment is... At that time, electromagnetic spectrum monitoring equipment and The sensory regions are not connected.
[0028] Calculations show that when the Euclidean distance between the electromagnetic spectrum monitoring devices is... At that time, the coverage area of the electromagnetic spectrum monitoring equipment was the largest. The proof process is as follows: Figure 3 This is a schematic diagram illustrating the coverage of another electromagnetic spectrum monitoring device provided in an embodiment of this application. Let the center of the circle be... O 1. O 2. O The three circles of equation 3 intersect each other pairwise. Their radii are all equal to 3. r , O 1. O 2 respectively and OThe three circles intersect at points A and B. The center of the circle... O 1. O The distance between 2 is d 1. Center of the circle O 1. O The distance between 3 is d 2. Center O 2. O The distance between 3 is d 3. Order i 1=∠ O 1 O 3 O 2, i 2=∠ O 1 O 3 A , i 3=∠ O 2 O 3 B According to the Law of Cosines, we know d 2=2 rcosθ 2, d 3=2 rcosθ 3. Therefore d 1. d 2. d 3 are all less than 2 r Under the condition of complete coverage, and i 1< i 2+ i 3, we can get △ O 1 O 2 O Area of 3 S T for: S T =1 / 2 d 2 d 3sin i 1 =2 r 2 cos i 2cos i 3sin i 1 = r 2 (cos ( i 2+ i 3) + cos( i 2- i 3)) sin i 1≤ r 2 (cos i 2+1) sin i 1 If and only if i 1= i 2+ i When the equation reaches its maximum value (3), the three circles intersect at a single point. The prerequisite for the three disks to achieve the maximum coverage area is that the three intersecting circles intersect at a single point. When the coverage area of the three circles reaches its maximum value, the sum of the areas of their overlapping portions is minimized. Let the circles... O 1. O 2. O The centers of the three circles form a triangle, and the three circles... O 1. O 2. O 3 intersect at point O 4, and the center of the circle O 1. O 2. O 3 to O The distance of 4 is r Then the dot O 1. O 2. O 3 located in O 4 is the center of the circle. r On a circle with radius , respectively using S 1. S 2. S 3 represents a circle O 1. O 2. O 3. Three overlapping parts that intersect in pairs, a circle O 1. O 2. O 4 intersect at point C. The sum of the areas of sectors AO3B, BO2C, and AO1C is used... S s Indicates that the overlapping part S 1. S 2. S The area of 3 is equal to S s Subtract the area of polygon AO1CO2B O3. That is, minimizing the area of the overlapping portion is equivalent to △ O 1 O 2 O The area of 3 is the largest; when △ O 1 O 2 O When 3 is an equilateral triangle, △ O 1 O 2 O The area of circle 3 is the largest. Therefore, when the center... O 1. O 2. O When the positions of the three disks form an equilateral triangle, the effective coverage area of the three disks is the largest.
[0029] Figure 4This is a schematic diagram illustrating the coverage of an electromagnetic spectrum monitoring device based on a regular hexagon, provided in an embodiment of this application. Further, the circle... O 1 intersects the outer six identical circles at points A, B, C, D, E, and F respectively, forming a circle inscribed in the outer circle. O A regular hexagon with a center that coincides with the center of the circle indicates the location of the electromagnetic spectrum monitoring equipment. The side length of the hexagon is equal to the radius of the circle. Assume the circle... O The radius of 1 is r The area of the regular hexagon is: ; As the number of regular hexagons increases, the ratio of the sum of the areas covered by each regular hexagon to the effective area covered by each disk is analyzed. The ratios of the sum of the areas covered by each regular hexagon from 1 to 10 to the effective area covered by each disk are calculated, and the ratios are shown in Table 1.
[0030] Table 1. Ratio of the area covered by a regular hexagon to that covered by a circle.
[0031] As the number of electromagnetic spectrum monitoring equipment that needs to be deployed increases, the sum of the areas covered by hexagonal shapes will become increasingly close to the effective area covered by discs.
[0032] (2) Figure 5 This is a schematic diagram of a hexagonal coverage grid for the electromagnetic spectrum coverage task area provided in an embodiment of this application. A minimum bounding rectangle for the electromagnetic spectrum coverage task area is constructed, and a Cartesian coordinate system is established using any two adjacent sides of this minimum bounding rectangle as the x-axis and y-axis.
[0033] (3) Deploy electromagnetic spectrum monitoring equipment using the optimal deployment mode, specifically including: Using the center point of the regular hexagon as the center point, let the x-axis coincide with the horizontal axis of symmetry of the regular hexagon to construct the first regular hexagon; Translate the first regular hexagon along the y-axis. The second regular hexagon is obtained, and the first regular hexagon is translated along the x-axis. Then translate along the y-axis The third regular hexagon is obtained. The above translation is performed multiple times to construct a regular hexagonal grid within the smallest bounding rectangle until the regular hexagonal grid covers the smallest bounding rectangle and the number of regular hexagons is minimized. The center positions of all hexagons inside and on the sides of the minimum circumscribed rectangular coordinate system are determined as the deployment locations of the electromagnetic spectrum monitoring equipment; wherein, The sensing radius of the electromagnetic spectrum monitoring equipment.
[0034] Specifically, with Using the center point of the regular hexagon as the center point, let the x-axis coincide with the horizontal axis of symmetry of the regular hexagon to construct the first regular hexagon; Translate the first regular hexagon along the y-axis. The second regular hexagon is obtained, and the first regular hexagon is translated along the x-axis. Then translate along the y-axis We obtain the third regular hexagon; Translate the second regular hexagon along the y-axis. The fourth regular hexagon is obtained, and the second regular hexagon is translated along the x-axis. Then translate along the y-axis We obtain the fifth regular hexagon; Translate the fourth regular hexagon along the y-axis. The sixth regular hexagon is obtained, and the fourth regular hexagon is translated in the x-axis direction. Then translate along the y-axis We obtain the seventh regular hexagon; ... Following the above method, multiple translations are performed to construct a regular hexagonal grid within the smallest bounding rectangle until the regular hexagonal grid completely covers the smallest bounding rectangle and the number of regular hexagons is minimized.
[0035] It should be noted that, in order to ensure that the electromagnetic spectrum monitoring equipment can seamlessly cover the entire mission area, the side length of the regular hexagonal coverage grid is... It must be less than or equal to the sensing radius of the electromagnetic spectrum monitoring equipment. Meanwhile, to ensure connectivity between electromagnetic spectrum monitoring equipment, the distance between the center points of adjacent hexagonal coverage grids must be less than or equal to the transmission radius of the electromagnetic spectrum monitoring equipment. Based on the line connecting the center points of adjacent hexagonal covering grids and the side length of the hexagonal covering grid... According to the geometric relationship, the distance between the center points of adjacent regular hexagonal covered grids is Therefore, when the condition is met This ensures connectivity between electromagnetic spectrum monitoring equipment. Therefore, to ensure seamless coverage and connectivity of the mission area by the deployed electromagnetic spectrum monitoring equipment, the side length of the hexagonal coverage grid... The value should be The minimum value in the range, that is, the value that satisfies the following conditions: ; Furthermore, the coverage rate is calculated based on the already covered area of the electromagnetic spectrum coverage task area and the total area of the electromagnetic spectrum coverage task area. As shown in the following formula, ; in, This indicates the area of the mission region covered by the electromagnetic spectrum. This indicates the coverage area of the electromagnetic spectrum monitoring equipment. The number of electromagnetic spectrum monitoring devices. This represents a function used to calculate the area of the task region; The coverage efficiency of the electromagnetic spectrum coverage mission area is calculated as shown in the following formula. .
[0036] The coverage density of the electromagnetic spectrum coverage area is calculated as shown in the following formula. ; in, This represents the number of electromagnetic spectrum monitoring devices within the mission area.
[0037] A two-dimensional hexagonal grid is established using regular hexagonal cells as units. Based on this grid, the positional relationships of each electromagnetic spectrum monitoring device within the electromagnetic spectrum monitoring network are determined. The size of the hexagonal grid is determined by the performance parameters of the electromagnetic spectrum monitoring devices, and the scale of the electromagnetic spectrum monitoring network is then determined according to the mission area. This allows for the rapid deployment of electromagnetic spectrum monitoring devices at the center of the hexagon, achieving optimal coverage of the region using the minimum number of devices.
[0038] It should be noted that, for the sake of simplicity, the foregoing method embodiments are all described as a series of actions. However, those skilled in the art should understand that this application is not limited to the described order of actions, as some steps may be performed in other orders or simultaneously according to this application. Furthermore, those skilled in the art should also understand that the embodiments described in the specification are preferred embodiments, and the actions and modules involved are not necessarily essential to this application.
[0039] In the above embodiments, the descriptions of each embodiment have different focuses. For parts not described in detail in a certain embodiment, please refer to the relevant descriptions in other embodiments.
[0040] The foregoing description is merely an exemplary embodiment of this disclosure and should not be construed as limiting the scope of this disclosure. Any equivalent changes and modifications made in accordance with the teachings of this disclosure shall still fall within the scope of this disclosure. Those skilled in the art will readily conceive of embodiments of this disclosure upon considering the specification and practicing the disclosure herein. This application is intended to cover any variations, uses, or adaptations of this disclosure that follow the general principles of this disclosure and include common knowledge or customary techniques in the art not described herein. The specification and embodiments are to be considered exemplary only, and the scope and spirit of this disclosure are defined by the claims.
[0041] The technical features of the above embodiments can be combined in any way. For the sake of brevity, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.
[0042] Those skilled in the art will readily understand that the above description is merely a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.
Claims
1. A method for deploying an electromagnetic spectrum monitoring network based on a regular hexagon, characterized in that, include: A Boolean sensing model is constructed based on the parameters of electromagnetic spectrum monitoring equipment. The optimal deployment mode is calculated with the maximum coverage and minimum redundant coverage as the optimization objectives. Construct the minimum bounding rectangle of the electromagnetic spectrum coverage task area, and establish a Cartesian coordinate system with any two adjacent sides of the minimum bounding rectangle as the x-axis and y-axis; Deploying electromagnetic spectrum monitoring equipment in the optimal deployment mode specifically includes: by As the center point of the regular hexagon, Using the side length of the regular hexagon as an example, let the x-axis coincide with the horizontal axis of symmetry of the regular hexagon to construct the first regular hexagon; Translate the first regular hexagon along the y-axis. The second regular hexagon is obtained, and the first regular hexagon is translated along the x-axis. Then translate along the y-axis The third regular hexagon is obtained, and the above translation is performed multiple times to construct a regular hexagonal mesh within the minimum bounding rectangle until the regular hexagonal mesh covers the minimum bounding rectangle and the number of regular hexagons is minimized; The center positions of all hexagons inside and on the sides of the minimum circumscribed rectangular coordinate system are determined as the deployment locations of the electromagnetic spectrum monitoring equipment; wherein, The sensing radius of the electromagnetic spectrum monitoring equipment; The Boolean sensing model is constructed based on the parameters of the electromagnetic spectrum monitoring equipment. With the optimization objectives of maximizing coverage and minimizing redundant coverage, the optimal deployment mode is calculated, specifically including: Based on the Boolean sensing model, sensing radius, transmission radius of the electromagnetic spectrum monitoring device, and distances between neighboring nodes of the electromagnetic spectrum monitoring device, a coverage control association model for the electromagnetic spectrum monitoring device is constructed, as shown below. ； in, The coverage and connectivity of electromagnetic spectrum monitoring equipment are described using a Boolean sensing model. This indicates the transmission radius of the electromagnetic spectrum monitoring equipment. This indicates the sensing radius of the electromagnetic spectrum monitoring equipment. This is expressed as the Euclidean distance between electromagnetic spectrum monitoring equipment. The sensing radius and transmission radius are mutually restrictive parameters for designing network coverage and network connectivity. The distance between neighboring equipment is a limiting condition for achieving network coverage and connectivity under the joint constraints of the sensing radius and transmission radius, and it also affects network redundancy coverage. The coverage control correlation model achieves maximum coverage and minimum redundancy coverage by constraining the Euclidean distance between electromagnetic spectrum monitoring equipment.
2. The method for deploying an electromagnetic spectrum monitoring network based on a regular hexagon as described in claim 1, wherein, The Boolean sensing model is constructed based on the parameters of the electromagnetic spectrum monitoring equipment. With the optimization objectives of maximizing coverage and minimizing redundant coverage, the optimal deployment mode is calculated, specifically including: A Boolean sensing model is constructed based on the parameters of the electromagnetic spectrum monitoring equipment, and the coverage area of the electromagnetic spectrum monitoring equipment is set to a circle. The sensing radius of an electromagnetic spectrum monitoring device is calculated based on its transmit power and antenna height.
3. The method for deploying an electromagnetic spectrum monitoring network based on a regular hexagon as described in claim 2, wherein, When the Euclidean distance between the electromagnetic spectrum monitoring equipment At that time, electromagnetic spectrum monitoring equipment and The sensory region is connected; When the Euclidean distance between the electromagnetic spectrum monitoring equipment At that time, electromagnetic spectrum monitoring equipment and The sensing regions are connected and interconnected; When the Euclidean distance between the electromagnetic spectrum monitoring equipment At that time, electromagnetic spectrum monitoring equipment and The sensory regions are not connected.
4. The method for deploying an electromagnetic spectrum monitoring network based on a regular hexagon as described in claim 3, wherein, When the Euclidean distance between the electromagnetic spectrum monitoring equipment At that time, the coverage area of electromagnetic spectrum monitoring equipment was the largest.
5. The method for deploying an electromagnetic spectrum monitoring network based on a regular hexagon as described in claim 4, wherein, Also includes: The coverage rate is calculated based on the already covered area of the electromagnetic spectrum coverage task area and the total area of the electromagnetic spectrum coverage task area. As shown in the following formula, ； in, This indicates the area of the mission region covered by the electromagnetic spectrum. This indicates the coverage area of the electromagnetic spectrum monitoring equipment. The number of electromagnetic spectrum monitoring devices. This represents a function used to calculate the area of the task region; The coverage efficiency of the electromagnetic spectrum coverage mission area is calculated as shown in the following formula. 。 6. The method for deploying an electromagnetic spectrum monitoring network based on a regular hexagon as described in claim 5, wherein, Also includes: The coverage density of the electromagnetic spectrum coverage area is calculated as shown in the following formula. ； in, This represents the number of electromagnetic spectrum monitoring devices within the mission area.