CN109474946B - Method for predicting electromagnetic radiation of base station in rural area - Google Patents

Method for predicting electromagnetic radiation of base station in rural area Download PDF

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CN109474946B
CN109474946B CN201811514722.3A CN201811514722A CN109474946B CN 109474946 B CN109474946 B CN 109474946B CN 201811514722 A CN201811514722 A CN 201811514722A CN 109474946 B CN109474946 B CN 109474946B
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base station
value
area
base stations
electromagnetic radiation
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杨万春
王俊
邓敏
彭艳芬
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Xiangtan University
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W24/00—Supervisory, monitoring or testing arrangements
    • H04W24/06—Testing, supervising or monitoring using simulated traffic
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B17/00—Monitoring; Testing
    • H04B17/30—Monitoring; Testing of propagation channels
    • H04B17/309—Measuring or estimating channel quality parameters
    • H04B17/318—Received signal strength
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B17/00—Monitoring; Testing
    • H04B17/30—Monitoring; Testing of propagation channels
    • H04B17/391—Modelling the propagation channel
    • H04B17/3913—Predictive models, e.g. based on neural network models

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Abstract

The invention discloses a method for predicting electromagnetic radiation of a rural area base station, which comprises the following steps: the method provides a distribution model of the number of base stations in the rural area to obtain the probability distribution f (x) of the number of the base stations in the area, substitutes parameters and calculates to obtain a value interval of the number of the base stations in the area, uses the maximum integer in the interval as a value N of the number of the base stations, obtains the position coordinate distribution of the base stations in the area by a point distribution uniform algorithm, and finally obtains the total electromagnetic radiation value of each base station in the area by prediction. The invention analyzes the number of the base stations according to the distribution of the base stations in the area, then carries out base station distribution analysis and accurately predicts the electromagnetic radiation intensity of the base stations in the scenic spot.

Description

Method for predicting electromagnetic radiation of base station in rural area
Technical Field
The invention relates to a method for predicting electromagnetic radiation of a base station in a rural area.
Background
With the infinite communication convenience brought to people by mobile communication technology, the communication technology of countries in the world is developed rapidly and unprecedentedly, which mainly comprises: the radar microwave station, the satellite ground station, the mobile communication base station, the radio paging, the mobile phone and the like bring great convenience to the work and the life of people. But also brings new problems to the environment. However, in the currently published documents and patents, the radiation value of the base station exposed in the rural area is rarely considered, and no method is available for estimating the total electromagnetic radiation exposure level of each base station in the area according to the distribution situation of the base stations in the rural area.
Aiming at the defects in the prior art, the patent provides a rural area base station electromagnetic radiation prediction method, which comprises the steps of firstly providing a distribution model of the number of rural area base stations to obtain the probability distribution f (x) of the number of base stations in an area, further obtaining specific values of the number of base stations under the condition, obtaining the position coordinate distribution of the base stations in the area by using a uniform point distribution algorithm, and finally predicting to obtain the total electromagnetic radiation value of each base station in the area.
Disclosure of Invention
In order to solve the technical problem, the invention provides a method for predicting the electromagnetic radiation of a base station in a rural area.
The technical scheme for solving the technical problems comprises the following steps:
(1) establishing a rural area base station distribution model:
Figure GDA0003328414450000011
wherein x is the number of base stations and is a random number, wherein f (x) is the probability when the number of the base stations is x, mu is the average number of the base stations and has the unit of one, and sigma is the variance of the statistical base station data and takes the value of 0.76;
the expression of the mean value μ of the number of base stations and the area S is as follows:
μ＝0.3972·S
(2) when the probability of being (mu-1.96 sigma, mu +1.96 sigma) in the base station number interval is 95.4%, the maximum integer in the interval is selected as the base station number N:
N＝[μ+1.96σ]
wherein [ mu +1.96 sigma ] has a value of the largest integer not exceeding mu +1.96 sigma;
(3) according to the number N of the base stations obtained in the step (2), obtaining the position coordinate distribution (x) of the base stations in the area by a uniform point distribution algorithmi,yi) I is the base station label, i is 1, 2, …, N;
(4) and (4) obtaining the electromagnetic radiation intensity E of the predicted base station according to the step (3) and by combining the power density expression.
In the step (3), the number N of base stations obtained in the step (2) is combined, and a coordinate expression of each base station in the area is obtained according to a uniform point distribution algorithm, where the coordinate expression is as follows:
Figure GDA0003328414450000021
wherein i is the label of the ith base station and takes the value of 1, …, N; (x)i,yi) Is the ith base station coordinate point, h is the side length of the predicted square region,
Figure GDA0003328414450000022
is not more than
Figure GDA0003328414450000023
Is the remainder of the remainder division of the value of 2 · i by N, and the remainder of the division of the value of 3 · i by N.
In the method for predicting the electromagnetic radiation of the base station in the rural area, in the step (4), the coordinates (x) of the base station obtained in the step (3) are combinedi,yi) According to the Euclidean distance formula in the plane:
Figure GDA0003328414450000024
wherein xc，ycRespectively as the abscissa and ordinate of the predicted point, RiObtaining a total value expression of the predicted radiation intensity of each base station to the point to be measured in the area for the distance between the predicted point and the ith base station, wherein the unit is m:
Figure GDA0003328414450000025
wherein E is the total value of the radiation intensity of each base station to the point, and the unit is uw/cm2I is the base station label, the value is 1, …, N, P is the transmission power of the base station, the unit is W, G is the antenna gain of the base station, and the unit is dB.
The invention has the beneficial effects that: the method comprises the steps of firstly providing a distribution model of the number of base stations in the rural area, obtaining probability distribution f (x) of the number of the base stations in the area, obtaining specific values of the number of the base stations under the condition, obtaining position coordinate distribution of the base stations in the area by a uniform point distribution algorithm, and finally predicting to obtain the total electromagnetic radiation value of each base station in the area.
Detailed Description
The implementation object of the invention is a base station with three operator communication network systems, and the working frequency bands are respectively as follows: the mobile (890-909 MHz), the communication (954-960 MHz), the telecommunication (825 MHz-840 MHz), the location is rural area, the area of the selected test area is 3km x 3km, the measuring equipment is a spectrometer (frequency range 9kHz-3GHz) with model AT6030D and PCD 82-50 omnidirectional antenna (frequency range 80MHz-3GHz), which are produced by Antai-letter company, the antenna factor is 30dB/m, and the cable loss is 3 dB.
The invention discloses a method for predicting electromagnetic radiation of a rural area base station, which comprises the following steps:
(1) establishing a rural area base station distribution model:
Figure GDA0003328414450000026
wherein x is the number of base stations and is a random number, wherein f (x) is the probability when the number of the base stations is x, mu is the average number of the base stations and has the unit of one, and sigma is the variance of the statistical base station data and takes the value of 0.76;
the expression of the mean value μ of the number of base stations and the area S is as follows:
μ＝0.3972·S
(2) when the probability of being (mu-1.96 sigma, mu +1.96 sigma) in the base station number interval is 95.4%, the maximum integer in the interval is selected as the base station number N:
N＝[μ+1.96σ]
wherein [ mu +1.96 sigma ] has a value of the largest integer not exceeding mu +1.96 sigma;
(3) according to the number N of the base stations obtained in the step (2), obtaining the position coordinate distribution (x) of the base stations in the area by a uniform point distribution algorithmi,yi) I is the base station label, i is 1, 2, …, N;
(4) and (4) obtaining the electromagnetic radiation intensity E of the predicted base station according to the step (3) and by combining the power density expression.
In the above steps (1) and (2), since the measurement area is 3km × 3km, that is, S is 9km2The rural area base station mean value μ is calculated as follows:
μ＝0.3972·S＝0.3972×9＝3.5228
by the nature of gaussian distribution, the probability of the base station number interval (μ -1.96 σ, μ +1.96 σ) is 95.4%, and σ is the statistical base station data variance, and takes the value of 0.76, and according to the general selection of operators, the maximum value in the interval is used as the reference value for base station planning, so the maximum integer in the interval is selected as the base station number N:
N＝[μ+1.96σ]＝[3.5228+1.96×0.76]＝[5.0124]＝5
wherein [ mu +1.96 sigma ] has a value of the largest integer not exceeding mu +1.96 sigma;
in the step (3), according to the N obtained by calculation in the step (2), the area to be predicted is 3km multiplied by 3km, after a coordinate system is established, according to a uniform point distribution algorithm,
Figure GDA0003328414450000031
the coordinates of each base station within the area are:
Figure GDA0003328414450000032
Figure GDA0003328414450000033
Figure GDA0003328414450000034
Figure GDA0003328414450000035
Figure GDA0003328414450000036
in the step (4), a predicted point is arbitrarily selected, and coordinates thereof are (1000, 2000), and the coordinates (x) of each base station obtained in the step (3) are combinedi,yi) (ii) a Respectively calculating the distance between the predicted point and each base station according to an in-plane Euclidean distance formula as follows:
Figure GDA0003328414450000037
Figure GDA0003328414450000038
Figure GDA0003328414450000041
Figure GDA0003328414450000042
Figure GDA0003328414450000043
by distance R of the predicted point from each base stationiCalculating the total radiation intensity value E of each base station to the predicted point, wherein the unit is uw/cm2P is the transmission power of the base station, the value is 20W, G is the antenna gain of the base station, the value is 12dB, and the total predicted radiation intensity value expression is substituted:
Figure GDA0003328414450000044
the distance R between the predicted point and each base stationiSubstituting the formula to obtain E ═ 2.39X 10-4uw/cm2To prove the effectiveness of the invention, the average electromagnetic radiation intensity obtained by actually measuring the electromagnetic radiation of the communication frequency bands of three operators at the position with the predicted coordinate point of (1000, 2000) in the predicted area by using a spectrometer and then accumulating is compared with the predicted electromagnetic radiation intensity, and the measured value is 2.23 × 10-4uw/cm2，；
Through comparison, the predicted value and the measured value of the electromagnetic radiation intensity of the base station in the rural area are very consistent, and the validity of the content of the invention is verified.

Claims (1)

1. A method for predicting electromagnetic radiation of a base station in a rural area is characterized by comprising the following steps:
(1) establishing a rural area base station distribution model:
Figure FDA0003328414440000011
wherein x is the number of base stations and is a random number, f (x) is the probability when the number of the base stations is x, mu is the average number of the base stations and has a unit of one, and sigma is the variance of the statistical base station data and takes the value of 0.76;
the expression of the mean value μ of the number of base stations and the area S is as follows:
μ＝0.3972·S
(2) when the probability of being (mu-1.96 sigma, mu +1.96 sigma) in the base station number interval is 95.4%, the maximum integer in the interval is selected as the base station number N:
N＝[μ+1.96σ]
wherein [ mu +1.96 sigma ] has a value of the largest integer not exceeding mu +1.96 sigma;
(3) according to the number N of the base stations obtained in the step (2), obtaining the position coordinate distribution (x) of the base stations in the area by a uniform point distribution algorithmi,yi) I is the base station label, i is 1, 2, …, N;
obtaining a coordinate expression of each base station in the area according to a uniform point distribution algorithm as follows:
Figure FDA0003328414440000012
wherein i is the label of the ith base station and takes the value of 1, …, N; (x)i,yi) Is the ith base station coordinate point, h is the side length of the predicted square region,
Figure FDA0003328414440000013
is not more than
Figure FDA0003328414440000014
Is the maximum integer of (mod N) is a remainderA number operation, i.e. the remainder of dividing the value of 2 · i by N and the remainder of dividing the value of 3 · i by N;
(4) obtaining the electromagnetic radiation intensity E of the predicted base station according to the step (3) and by combining a power density expression, and according to an in-plane Euclidean distance formula:
Figure FDA0003328414440000015
wherein xc，ycRespectively as the abscissa and ordinate of the predicted point, RiObtaining a total value expression of the predicted radiation intensity of each base station to the point to be measured in the area for the distance between the predicted point and the ith base station, wherein the unit is m:
Figure FDA0003328414440000016
wherein E is the total value of the radiation intensity of each base station to the point, and the unit is uw/cm2I is the base station label, the value is 1, …, N, P is the transmission power of the base station, the unit is W, G is the antenna gain of the base station, and the unit is dB.
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CN111030761B (en) * 2019-12-23 2022-02-11 湘潭大学 Electromagnetic radiation prediction method for mountain base station
CN111010248B (en) * 2019-12-23 2022-02-11 湘潭大学 Base station electromagnetic radiation prediction method based on building
CN111065109B (en) * 2020-01-16 2023-08-22 湘潭大学 Rural area heterogeneous cellular network base station electromagnetic radiation prediction method

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