CN115175306A - Electric power Internet of things indoor positioning method based on convolutional neural network - Google Patents

Electric power Internet of things indoor positioning method based on convolutional neural network Download PDF

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CN115175306A
CN115175306A CN202210729213.2A CN202210729213A CN115175306A CN 115175306 A CN115175306 A CN 115175306A CN 202210729213 A CN202210729213 A CN 202210729213A CN 115175306 A CN115175306 A CN 115175306A
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rssi
neural network
convolutional neural
sample
training
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CN115175306B (en
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宋文卓
郭夫然
张亮
宋景博
汪赟
姚晗
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State Grid Corp of China SGCC
Economic and Technological Research Institute of State Grid Henan Electric Power Co Ltd
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State Grid Corp of China SGCC
Economic and Technological Research Institute of State Grid Henan Electric Power Co Ltd
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W64/00Locating users or terminals or network equipment for network management purposes, e.g. mobility management
    • H04W64/006Locating users or terminals or network equipment for network management purposes, e.g. mobility management with additional information processing, e.g. for direction or speed determination
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06NCOMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00Computing arrangements based on biological models
    • G06N3/02Neural networks
    • G06N3/08Learning methods
    • GPHYSICS
    • G16INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
    • G16YINFORMATION AND COMMUNICATION TECHNOLOGY SPECIALLY ADAPTED FOR THE INTERNET OF THINGS [IoT]
    • G16Y10/00Economic sectors
    • G16Y10/35Utilities, e.g. electricity, gas or water
    • GPHYSICS
    • G16INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
    • G16YINFORMATION AND COMMUNICATION TECHNOLOGY SPECIALLY ADAPTED FOR THE INTERNET OF THINGS [IoT]
    • G16Y40/00IoT characterised by the purpose of the information processing
    • G16Y40/60Positioning; Navigation
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B17/00Monitoring; Testing
    • H04B17/30Monitoring; Testing of propagation channels
    • H04B17/309Measuring or estimating channel quality parameters
    • H04B17/318Received signal strength
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W4/00Services specially adapted for wireless communication networks; Facilities therefor
    • H04W4/30Services specially adapted for particular environments, situations or purposes
    • H04W4/33Services specially adapted for particular environments, situations or purposes for indoor environments, e.g. buildings

Abstract

The invention discloses an electric power Internet of things indoor positioning method based on a convolutional neural network, which comprises the following steps: s1, in an off-line fingerprint library construction stage, generating a probability density function graph for each acquisition position by using a kernel density estimation method for constructing an RSSI statistical sample fingerprint library; s2, in a training stage, training the convolutional neural network by using a statistical sample fingerprint library; and S3, in an online positioning stage, predicting the position of the equipment based on a convolutional neural network algorithm according to the RSSI sample acquired by the equipment needing to be positioned. The spatial statistical distribution characteristic of the signal intensity and the spatial feature extraction advantage of the convolutional neural network are fully utilized, and an accurate and stable indoor positioning technology can be provided in the application scene of the power internet of things.

Description

Electric power Internet of things indoor positioning method based on convolutional neural network
Technical Field
The invention relates to the technical field of wireless sensor networks, in particular to an indoor positioning method of an electric power internet of things based on a convolutional neural network.
Background
With the continuous progress of technologies such as wireless communication and microelectronics, the application of the internet of things in a power system is more and more extensive. Various wireless communication technologies are currently applied to power systems, such as LoRa, NB-IoT, OFDM, etc. In an electric power system, such as a power plant, a substation, etc., many devices are indoors, and position information of the devices is needed when the system is operated. However, the traditionally used outdoor positioning technology, such as GPS, is affected by obstacles such as walls and is difficult to apply to indoor environments, so indoor positioning in the power internet of things becomes a problem to be solved urgently.
Indoor positioning is subject to more and more domestic and foreign researches. RSSI is the most commonly used indicator in indoor positioning because it can be easily obtained in many wireless communication devices (e.g., loRa, NB-IoT, zigBee, OFDM). Although there are various indoor positioning methods based on RSSI, the accuracy, stability and the like of these methods need to be improved, and in a power system, there are a lot of problems of interference, noise, shielding and the like, so that a high-accuracy and stable indoor positioning method oriented to the power internet of things is urgently needed.
Disclosure of Invention
In order to overcome the defects, the invention aims to provide the electric power internet of things indoor positioning method based on the convolutional neural network, which makes full use of the spatial statistical distribution characteristic of the signal intensity and the spatial feature extraction advantage of the convolutional neural network, and can provide an accurate and stable indoor positioning technology in the electric power internet of things application scene.
In order to realize the purpose, the invention adopts the following technical scheme:
an electric power internet of things indoor positioning method based on a convolutional neural network comprises the following steps:
s1, in an off-line fingerprint library construction stage, generating a probability density function graph for each acquisition position by using a kernel density estimation method for constructing an RSSI statistical sample fingerprint library;
s2, in a training stage, training the convolutional neural network by using a statistical sample fingerprint library;
and S3, in an online positioning stage, predicting the position of the equipment based on a convolutional neural network algorithm according to the RSSI sample acquired by the equipment needing to be positioned.
Optionally, the step of the offline fingerprint database construction phase includes:
s11, let L = (L) 1 ,…,l n ) Position acquisition for n RSSI's, where l i =(x i ,y i ,z i ) Is a position l i Three-dimensional coordinates of (a); let A = (a) 1 ,…,a h ) To locate a set of APs within a region, wherein a i Is the ith AP; at any RSSI acquisition location l i Collecting m RSSI samples and recording the RSSI sample set as
Figure BDA0003712258430000021
Wherein
Figure BDA0003712258430000022
For the jth RSSI sample,
Figure BDA0003712258430000023
Obtaining the RSSI value of the kth AP at the acquisition position in the jth sample; after the RSSI sample is collected for each position to be collected, the construction is finishedRaw RSSI sample library
Figure BDA0003712258430000024
S12, giving a raw RSSI sample library R, and acquiring samples R of positions aiming at any RSSI i (i is more than or equal to 1 and less than or equal to n) training a kernel density estimator:
s121, given
Figure BDA0003712258430000025
Order to
Figure BDA0003712258430000026
Needs to acquire location l at RSSI for each AP i Training a kernel density estimator, wherein the kernel density estimator f of the kth AP i,k (r) is given by:
Figure BDA0003712258430000027
wherein K (-) is a kernel function and u is a smoothing parameter; estimating by adopting a Gaussian kernel, and determining a smoothing parameter by adopting a maximum likelihood estimation method; thus, at RSSI acquisition location l i There are h kernel density estimators noted as F i =(f i,1 (r),…,f i,h (r));
S13, order r min And r max Setting the minimum value and the maximum value of the RSSI which can be received, and setting lambda as a step length parameter; then a horizontal axis interval sample point X = (r) of RSSI probability density distribution can be created min ,r min +λ,r min +2λ,…,r max ) (ii) a For any RSSI acquisition position l i The following operations are performed:
s131, for any AP a k (k is more than or equal to 1 and less than or equal to h), utilizing a kernel density estimator f i,k (r) generating respective probabilities Y of all sample points in X i,k =(f i,k (r min ),f i,k (r min +λ),f i,k (r min +2λ),…,f i,k (r max ) ); then, let X = (r) min ,r min +λ,r min +2λ,…,r max ) Is a horizontal axis coordinate, Y i,k =(f i,k (r min ),f i,k (r min +λ),f i,k (r min +2λ),…,f i,k (r max ) ) is a vertical axis coordinate, a line graph G is generated i,k (ii) a Obviously, any RSSI acquisition position l i There are h broken line graphs, which are recorded as G i =(G i,1 ,…,G i,h );
S132, after the operation of S131 is performed on all RSSI acquisition positions, a final offline RSSI fingerprint database G = (G) can be obtained 1 ,…,G n )。
Optionally, the step of the training phase includes:
s21, constructing a convolutional neural network training set by utilizing an offline RSSI fingerprint database G, and acquiring a position l for any RSSI i Taking i as a label, transversely splicing h fold lines to form an image and recording the image as P i As characteristic data, the training data at the acquisition position is recorded as D i =(i,P i ). Finally obtaining a training set D = (D) 1 ,…D n );
S22, building a convolutional neural network n classification by using the existing architecture, and recording the classifier as f;
and S23, training the classifier f on the training set D.
Optionally, the online positioning stage includes:
s31, continuously collecting m RSSI samples for a certain device d to be positioned, and recording the set of the RSSI samples as
Figure BDA0003712258430000031
Wherein
Figure BDA0003712258430000032
For the jth RSSI sample,
Figure BDA0003712258430000033
Obtaining the RSSI value of the kth AP at the acquisition position in the jth sample;
s32, needing to locate each AP to be detectedTraining a kernel density estimator on device d, wherein kernel density estimator f of kth AP d,k (r) is given by:
Figure BDA0003712258430000041
wherein K (-) is a kernel function and u is a smoothing parameter; considering that the signal intensity presents Gaussian distribution, the method adopts a Gaussian kernel to estimate, and the smooth parameter is determined by adopting a maximum likelihood estimation method; thus, there are h kernel density estimators, denoted as F, on the device d to be positioned d =(f d,1 (r),…,f d,h (r));
S33, for any AP a k (k is more than or equal to 1 and less than or equal to h), utilizing a nuclear density estimator f d,k (r) generating respective probabilities Y of all sample points in X d,k =(f d,k (r min ),f d,k (r min +λ),f d,k (r min +2λ),…,f d,k (r max ) ); then, let X = (r) min ,r min +λ,r min +2λ,…,r max ) Is a horizontal axis coordinate, Y d,k =(f d,k (r min ),f d,k (r min +λ),f d,k (r min +2λ),…,f d,k (r max ) ) is a vertical axis coordinate, a line graph G is generated d,k (ii) a H broken line graphs are arranged on the equipment d to be positioned, and the broken line graphs are recorded as G d =(G d,1 ,…,G d,h );
And S34, positioning by using the trained convolutional neural network f.
Optionally, the step of performing positioning by using the trained convolutional neural network f includes:
s341, adding G d The h broken line graphs in the middle are transversely spliced to form an image which is marked as P d As characteristic data;
s342, adding P d F is transmitted in for classification, K positions with the maximum f output layer softmax function estimation value are taken, and the K positions with the maximum probability are recorded as
Figure BDA0003712258430000042
Wherein
Figure BDA0003712258430000043
Figure BDA0003712258430000044
Are respectively as
Figure BDA0003712258430000045
Three-dimensional coordinates of (a);
s343, the final positioning result of the equipment d to be positioned is
Figure BDA0003712258430000046
The invention has the following positive beneficial effects:
the method aims at the characteristics of complex radio frequency environment, serious interference and the like of the power internet of things, utilizes the convolutional neural network to extract the spatial distribution characteristics of the signal intensity, and is used for accurate and robust indoor positioning of the power equipment. The method comprises the following steps: the method comprises an off-line fingerprint database construction stage, a training stage and an on-line positioning stage. The spatial statistical distribution characteristic of the signal intensity and the spatial feature extraction advantage of the convolutional neural network are fully utilized, and an accurate and stable indoor positioning technology can be provided in the application scene of the power internet of things.
Drawings
Fig. 1 is a schematic block diagram of an indoor positioning method of an electric power internet of things based on a convolutional neural network according to embodiment 1 of the present invention;
fig. 2 is a schematic diagram of acquiring an original RSSI provided in step S11 in embodiment 1 of the present invention;
fig. 3 is a schematic diagram of line graph generation provided in step S131 in embodiment 1 of the present invention;
fig. 4 is a schematic diagram of training set generation provided in step S21 in embodiment 1 of the present invention;
fig. 5 is a schematic diagram of generating a final positioning of an output layer in step S342 according to embodiment 1 of the present invention.
Detailed Description
The invention will be further described with reference to some specific embodiments.
Example 1
As shown in fig. 1 to 5, an electric power internet of things indoor positioning method based on a convolutional neural network includes the steps:
s1, in an off-line fingerprint library construction stage, generating a probability density function graph for each acquisition position by using a kernel density estimation method for constructing an RSSI statistical sample fingerprint library;
s2, in a training stage, training the convolutional neural network by using a statistical sample fingerprint library;
and S3, in an online positioning stage, predicting the position of the equipment based on a convolutional neural network algorithm according to the RSSI sample acquired by the equipment needing to be positioned.
According to the method, aiming at the characteristics of complex radio frequency environment, serious interference and the like of the power internet of things, the spatial distribution characteristics of the signal intensity are extracted by using the convolutional neural network, the method is used for accurate and robust indoor positioning of the power equipment, the spatial statistical distribution characteristics of the signal intensity and the spatial characteristic extraction advantages of the convolutional neural network are fully utilized, and accurate and stable indoor positioning technology can be provided in the application scene of the power internet of things.
The step of the off-line fingerprint database construction phase comprises the following steps:
s11, let L = (L) 1 ,…,l n ) Position acquisition for n RSSI's, where l i =(x i ,y i ,z i ) Is a position l i Three-dimensional coordinates of (a); let A = (a) 1 ,…,a h ) To locate a set of APs within a region, wherein a i Is the ith AP; at any RSSI acquisition location l i Collecting m RSSI samples and recording the RSSI sample set as
Figure BDA0003712258430000061
Wherein
Figure BDA0003712258430000062
For the jth RSSI sample,
Figure BDA0003712258430000063
Obtaining the RSSI value of the kth AP at the acquisition position in the jth sample; after the RSSI sample is collected for each position to be collected, an original RSSI sample library is constructed
Figure BDA0003712258430000064
S12, giving a raw RSSI sample library R, and acquiring samples R of positions aiming at any RSSI i (i is more than or equal to 1 and less than or equal to n) training a kernel density estimator:
s121, given
Figure BDA0003712258430000065
Order to
Figure BDA0003712258430000066
Needs to acquire location l at RSSI for each AP i Last train a kernel density estimator, wherein kernel density estimator f of kth AP i,k (r) is given by:
Figure BDA0003712258430000067
wherein K (-) is a kernel function and u is a smoothing parameter; considering that the signal intensity presents Gaussian distribution, a Gaussian kernel is adopted for estimation, and a maximum likelihood estimation method is adopted for determining a smoothing parameter; thus, at RSSI acquisition location l i There are h kernel density estimators noted as F i =(f i,1 (r),…,f i,h (r));
S13, order r min And r max Taking the minimum value and the maximum value of the RSSI which can be received, and taking lambda as a step length parameter; then a horizontal axis interval sample point X = (r) of RSSI probability density distribution can be created min ,r min +λ,r min +2λ,…,r max ) (ii) a For any RSSI acquisition position l i Performing the following operations:
s131, for any AP a k (k is more than or equal to 1 and less than or equal to h), utilizing a nuclear density estimator f i,k (r) generating respective probabilities Y of all sample points in X i,k =(f i,k (r min ),f i,k (r min +λ),f i,k (r min +2λ),…,f i,k (r max ) ); then, let X = (r) min ,r min +λ,r min +2λ,…,r max ) Is a horizontal axis coordinate, Y i,k =(f i,k (r min ),f i,k (r min +λ),f i,k (r min +2λ),…,f i,k (r max ) ) is a vertical axis coordinate, a line graph G is generated i,k (ii) a Obviously, any RSSI acquisition location/ i There are h broken line graphs, which are recorded as G i =(G i,1 ,…,G i,h );
S132, after the operation of S131 is performed on all RSSI acquisition positions, a final offline RSSI fingerprint database G = (G) can be obtained 1 ,…,G n )。
Most of the existing indoor positioning algorithms are used for positioning based on mean values, and statistics and spatial distribution characteristics of RSSI samples are ignored, so that the statistical characteristics of original samples are extracted by utilizing a kernel density estimation method aiming at each RSSI acquisition position of spatial distribution.
The step of the training phase comprises:
s21, constructing a convolutional neural network training set by utilizing an offline RSSI fingerprint database G, specifically: for any RSSI acquisition position l i Taking i as a label, transversely splicing h fold lines to form an image and recording the image as P i As characteristic data, the training data at the acquisition position is recorded as D i =(i,P i ). Finally obtaining a training set D = (D) 1 ,…D n );
S22, building a convolutional neural network n classification by using an existing architecture (such as AlexNet, VGGNet and the like), and recording the classifier as f;
and S23, training the classifier f on the training set D.
The step of the online positioning phase comprises:
s31, continuously collecting m RSSI samples for a certain device d to be positioned, and recording the set of the RSSI samples as
Figure BDA0003712258430000081
Wherein
Figure BDA0003712258430000082
For the jth RSSI sample,
Figure BDA0003712258430000083
Obtaining the RSSI value of the kth AP at the acquisition position in the jth sample;
s32, training a kernel density estimator on the device d to be positioned for each AP, wherein the kernel density estimator f of the kth AP d,k (r) is given by:
Figure BDA0003712258430000084
wherein K (-) is a kernel function and u is a smoothing parameter; considering that the signal intensity presents Gaussian distribution, the method adopts a Gaussian kernel to estimate, and the smooth parameter is determined by adopting a maximum likelihood estimation method; thus, there are h kernel density estimators, denoted as F, on the device d to be positioned d =(f d,1 (r),…,f d,h (r));
S33, for any AP a k (k is more than or equal to 1 and less than or equal to h), utilizing a nuclear density estimator f d,k (r) generating respective probabilities Y of all sample points in X d,k =(f d,k (r min ),f d,k (r min +λ),f d,k (r min +2λ),…,f d,k (r max ) ); then, let X = (r) min ,r min +λ,r min +2λ,…,r max ) Is a horizontal axis coordinate, Y d,k =(f d,k (r min ),f d,k (r min +λ),f d,k (r min +2λ),…,f d,k (r max ) ) is a vertical axis coordinate, a line graph G is generated d,k (ii) a H broken line graphs are arranged on the equipment d to be positioned, and the broken line graphs are recorded as G d =(G d,1 ,…,G d,h );
And S34, positioning by using the trained convolutional neural network f.
The step of positioning by using the trained convolutional neural network f comprises the following steps:
s341, adding G d The h fold lines in the middle are transversely spliced to form an image marked as P d As characteristic data;
s342, adding P d F is transmitted in for classification, the classification result is not taken as an estimation position, but K positions with the maximum f output layer softmax function estimation value are taken, and the K positions with the maximum probability are respectively recorded as
Figure BDA0003712258430000085
Wherein
Figure BDA0003712258430000086
Figure BDA0003712258430000087
Are respectively as
Figure BDA0003712258430000088
Three-dimensional coordinates of (a);
s343, the final positioning result of the equipment d to be positioned is
Figure BDA0003712258430000091
The method aims at the characteristics of complex radio frequency environment, serious interference and the like of the power internet of things, utilizes the convolutional neural network to extract the spatial distribution characteristics of the signal intensity, and is used for accurate and robust indoor positioning of the power equipment. The spatial statistical distribution characteristic of the signal intensity and the spatial feature extraction advantage of the convolutional neural network are fully utilized, and an accurate and stable indoor positioning technology can be provided in the application scene of the power internet of things.
The concrete expression is as follows:
(1) Different from the existing method which directly adopts the mean value for estimation, the method effectively extracts the probability statistical characteristics of the signal intensity at each sampling point in the space by utilizing the kernel density estimation method, and reserves more characteristics for positioning as much as possible in an image mode for a trained probability statistical model.
(2) In addition, the method does not directly use the result of the convolutional neural network for positioning, but uses the average value of K positions with the maximum output layer softmax function estimation value to position, thereby improving the stability of the positioning system.
Finally, the above embodiments are only used for illustrating the technical solutions of the present invention and not for limiting, and other modifications or equivalent substitutions made by the technical solutions of the present invention by those of ordinary skill in the art should be covered within the scope of the claims of the present invention as long as they do not depart from the spirit and scope of the technical solutions of the present invention.

Claims (5)

1. An electric power Internet of things indoor positioning method based on a convolutional neural network is characterized by comprising the following steps:
s1, in an off-line fingerprint library construction stage, generating a probability density function graph for each acquisition position by using a kernel density estimation method for constructing an RSSI statistical sample fingerprint library;
s2, in a training stage, training the convolutional neural network by using a statistical sample fingerprint library;
and S3, in an online positioning stage, predicting the position of the equipment based on a convolutional neural network algorithm according to the RSSI sample acquired by the equipment needing to be positioned.
2. The electric power internet of things indoor positioning method based on the convolutional neural network as claimed in claim 1, wherein the step of the offline fingerprint database construction stage comprises:
s11, let L = (L) 1 ,…,l n ) Position acquisition for n RSSI's, where l i =(x i ,y i ,z i ) Is a position l i Three-dimensional coordinates of (a); let A = (a) 1 ,…,a h ) To locate a set of APs within a region, wherein a i Is the ith AP; at any RSSI acquisition location l i Collecting m RSSI samples and recording the RSSI sample set as
Figure FDA0003712258420000011
Wherein
Figure FDA0003712258420000012
For the jth RSSI sample,
Figure FDA0003712258420000013
Obtaining the RSSI value of the kth AP at the acquisition position in the jth sample; after the RSSI sample is collected for each position to be collected, an original RSSI sample library is constructed
Figure FDA0003712258420000014
S12, giving a raw RSSI sample library R, and acquiring samples R of positions aiming at any RSSI i (i is more than or equal to 1 and less than or equal to n) training a kernel density estimator:
s121, given
Figure FDA0003712258420000015
Order to
Figure FDA0003712258420000016
Needs to acquire location l at RSSI for each AP i Training a kernel density estimator, wherein the kernel density estimator f of the kth AP i,k (r) is given by:
Figure FDA0003712258420000021
wherein K (-) is a kernel function and u is a smoothing parameter; estimating by adopting a Gaussian kernel, and determining a smoothing parameter by adopting a maximum likelihood estimation method; thus, at RSSI acquisition location l i There are h kernel density estimators noted as F i =(f i,1 (r),…,f i,h (r));
S13, order r min And r max Taking the minimum value and the maximum value of the RSSI which can be received, and taking lambda as a step length parameter; then a horizontal axis interval sample point X = (r) of RSSI probability density distribution can be created min ,r min +λ,r min +2λ,…,r max ) (ii) a For any RSSI acquisition position l i Performing the following operations:
s131 for any AP a k (k is more than or equal to 1 and less than or equal to h), utilizing a nuclear density estimator f i,k (r) generating respective probabilities Y of all sample points in X i,k =(f i,k (r min ),f i,k (r min +λ),f i,k (r min +2λ),…,f i,k (r max ) ); then, let X = (r) min ,r min +λ,r min +2λ,…,r max ) Is a horizontal axis coordinate, Y i,k =(f i,k (r min ),f i,k (r min +λ),f i,k (r min +2λ),…,f i,k (r max ) ) is a vertical axis coordinate, a line graph G is generated i,k (ii) a Obviously, any RSSI acquisition location/ i There are h broken line graphs, which are recorded as G i =(G i,1 ,…,G i,h );
S132, after the operation of S131 is performed on all RSSI collecting positions, a final offline RSSI fingerprint database G = (G) may be obtained 1 ,…,G n )。
3. The electric power internet of things indoor positioning method based on the convolutional neural network as claimed in claim 1, wherein the training stage comprises the steps of:
s21, constructing a convolutional neural network training set by utilizing an offline RSSI fingerprint database G, and acquiring a position l for any RSSI i Using i as its label, and transversely splicing h fold lines to form an image P i As characteristic data, the training data at the acquisition position is recorded as D i =(i,P i ). Finally obtaining a training set D = (D) 1 ,…D n );
S22, building a convolutional neural network n classification by using the existing architecture, and recording the classifier as f;
and S23, training the classifier f on the training set D.
4. The indoor positioning method for the power internet of things based on the convolutional neural network as claimed in claim 1, wherein the step of the online positioning stage comprises:
s31, continuously collecting m RSSI samples for a certain device d to be positioned, and recording the set of the RSSI samples as
Figure FDA0003712258420000031
Wherein
Figure FDA0003712258420000032
For the jth RSSI sample,
Figure FDA0003712258420000033
Obtaining the RSSI value of the kth AP at the acquisition position in the jth sample;
s32, training a kernel density estimator on the device d to be positioned for each AP, wherein the kernel density estimator f of the kth AP d,k (r) is given by:
Figure FDA0003712258420000034
wherein K (-) is a kernel function and u is a smoothing parameter; considering that the signal intensity presents Gaussian distribution, the method adopts a Gaussian kernel to estimate, and the smooth parameter is determined by adopting a maximum likelihood estimation method; thus, there are h kernel density estimators, denoted as F, on the device d to be positioned d =(f d,1 (r),…,f d,h (r));
S33, for any AP a k (k is more than or equal to 1 and less than or equal to h), utilizing a nuclear density estimator f d,k (r) generating respective probabilities Y of all sample points in X d,k =(f d,k (r min ),f d,k (r min +λ),f d,k (r min +2λ),…,f d,k (r max ) ); then, let X = (r) min ,r min +λ,r min +2λ,…,r max ) Is a horizontal axis coordinate, Y d,k =(f d,k (r min ),f d,k (r min +λ),f d,k (r min +2λ),…,f d,k (r max ) ) is a vertical axis coordinate, a line graph G is generated d,k (ii) a H broken line graphs are arranged on the equipment d to be positioned, and the broken line graphs are recorded as G d =(G d,1 ,…,G d,h );
And S34, positioning by using the trained convolutional neural network f.
5. The electric power internet of things indoor positioning method based on the convolutional neural network as claimed in claim 4, wherein the step of positioning by using the trained convolutional neural network f comprises the following steps:
s341, adding G d The h broken line graphs in the middle are transversely spliced to form an image which is marked as P d As characteristic data;
s342, adding P d F is transmitted in for classification, K positions with the maximum estimation value of the softmax function of the f output layer are taken, and the K positions with the maximum probability are recorded as
Figure FDA0003712258420000035
Wherein
Figure FDA0003712258420000036
Are respectively as
Figure FDA0003712258420000041
Three-dimensional coordinates of (a);
s343, the final positioning result of the equipment d to be positioned is
Figure FDA0003712258420000042
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