CN115577253A - Supervision spectrum sensing method based on geometric power - Google Patents

Supervision spectrum sensing method based on geometric power Download PDF

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CN115577253A
CN115577253A CN202211470072.3A CN202211470072A CN115577253A CN 115577253 A CN115577253 A CN 115577253A CN 202211470072 A CN202211470072 A CN 202211470072A CN 115577253 A CN115577253 A CN 115577253A
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骆忠强
胡倩
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Sichuan University of Science and Engineering
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Abstract

The invention discloses a supervision spectrum sensing method based on geometric power, which relates to the field of spectrum sensing and comprises the following steps: constructing a noise model with generalized Gaussian distribution, and simulating and receiving signals in a noise environment generated by the noise model; carrying out geometric power solution on the received signals, and taking the obtained geometric power as a feature vector; constructing a supervised learning model, and training the supervised learning model through the feature vectors to obtain a trained supervised learning model; and acquiring and inputting the geometric power of the signal in the actual environment into the trained supervised learning model for spectrum sensing. The method has better sensing accuracy rate compared with a mode of sensing the frequency spectrum by using energy statistics and differential entropy by acquiring the geometric power of the received signal as the basis for sensing whether the frequency spectrum is used, particularly under the condition of low signal-to-noise ratio.

Description

Supervision spectrum sensing method based on geometric power
Technical Field
The invention relates to the field of spectrum sensing, in particular to a supervision spectrum sensing method based on geometric power.
Background
With the rapid development of wireless communication technology, more and more intelligent devices begin to become a part of internet of things and wireless communication, the demand of the devices on frequency spectrum is very large, and frequency spectrum resources are limited, so how to improve the frequency spectrum utilization rate is the focus of research at present, and Cognitive Radio (CR) is one of the methods for solving the problem. Since a Primary User (PU), that is, a User having a licensed spectrum, does not use a spectrum at all times, when the PU does not use the licensed spectrum, the CR uses an opportunistic use of a free spectrum, so the CR is also called a Secondary User (SU), and the SU can only use the spectrum when the PU is inactive, once the PU uses the spectrum, the SU must quit using the spectrum immediately, and it is necessary to ensure that interference is not caused to the PU, so it is very critical to detect whether the spectrum is used by the PU in time and accurately, spectrum Sensing (SS) in the CR can solve this problem, but since a wireless communication environment is very complicated, an SS process is affected by problems such as noise, shadow, and multipath effect, and the detection performance is deteriorated, so many studies are made on how to improve the SS detection performance, especially under the condition of low signal-to-noise ratio.
Disclosure of Invention
Aiming at the defects in the prior art, the supervision spectrum sensing method based on the geometric power solves the problem that the existing spectrum sensing method is low in detection accuracy under the condition of low signal to noise ratio.
In order to achieve the purpose of the invention, the invention adopts the technical scheme that:
a supervised spectrum sensing method based on geometric power is provided, which comprises the following steps:
s1, constructing a noise model with generalized Gaussian distribution, and simulating and receiving signals in a noise environment generated by the noise model;
s2, solving the geometric power of the received signal, and taking the obtained geometric power as a feature vector;
s3, constructing a supervised learning model, and training the supervised learning model through the feature vectors to obtain a trained supervised learning model;
and S4, acquiring and inputting the geometric power of the signal in the actual environment into the trained supervised learning model for spectrum sensing.
Further, in step S1, the shape parameter of the noise is greater than 0 and less than or equal to 2, and the scale parameter of the noise is greater than 0.
Further, the specific method of step S2 includes the following substeps:
s2-1, sampling the received signals for N times, wherein the number of sampling points in each sampling is M, and obtaining N sample sets;
s2-2, according to a formula:
Figure 945524DEST_PATH_IMAGE001
through the first stepiThe average value of the samples in the sample set replaces the expected value, and the average value is obtainediGeometric power corresponding to each sample set
Figure 780887DEST_PATH_IMAGE002
(ii) a Wherein
Figure 277727DEST_PATH_IMAGE003
Denotes the firstiIn a sample setjA sample;
s2-3, according to a formula:
Figure 928152DEST_PATH_IMAGE004
constructing feature vectors
Figure 101513DEST_PATH_IMAGE005
。
Further, the specific method of step S3 includes the following substeps:
s3-1, according to a formula:
Figure 361855DEST_PATH_IMAGE006
constructing hyperplane equation of supervised learning model to obtain linear kernel
Figure 396807DEST_PATH_IMAGE007
(ii) a Wherein
Figure 901738DEST_PATH_IMAGE008
Is a weight vector;
Figure 262312DEST_PATH_IMAGE009
is a deviation vector;
Figure 367540DEST_PATH_IMAGE010
represents a transpose of a matrix;
Figure 940604DEST_PATH_IMAGE008
and
Figure 768883DEST_PATH_IMAGE009
all parameters are parameters to be trained of the supervised learning model; x is the input of the supervised learning model;
s3-2, initialization
Figure 785511DEST_PATH_IMAGE008
And
Figure 128768DEST_PATH_IMAGE009
；
s3-3, taking the feature vector as the input of a supervised learning model, and acquiring the value of a linear kernel corresponding to the feature vector;
s3-4, when the value of the linear kernel corresponding to the feature vector is larger than or equal to 1, outputting a label of a frequency spectrum used by the main user by the supervised learning model; when the value of the linear kernel corresponding to the feature vector is less than or equal to-1, outputting a label of the unused frequency spectrum of the main user by the supervised learning model;
s3-5, judging whether the classification success rate of the current supervised learning model reaches an expected value or not, and if so, taking the current supervised learning model as the trained supervised learning model; otherwise, entering step S3-6;
s3-6, constructing a loss function, calculating a loss value through a real label of the feature vector and an output label of the supervised learning model, and reversely propagating and updating
Figure 771102DEST_PATH_IMAGE008
And
Figure 250625DEST_PATH_IMAGE009
and returning to the step S3-3.
Further, the specific method for acquiring the geometric power of the signal in the actual environment in step S4 is as follows:
the geometric power of the signal in the actual environment is obtained in the same manner as in step S2.
Further, the supervised learning model in step S3 includes an SVM model and a KNN model.
The invention has the beneficial effects that: according to the method, the geometric power of the received signal is obtained to serve as the basis for sensing whether the frequency spectrum is used, and compared with a mode of sensing the frequency spectrum by using energy detection and differential entropy, the method has better sensing accuracy.
Drawings
FIG. 1 is a schematic flow diagram of the process;
FIG. 2 is a performance comparison diagram of SVM spectrum sensing method based on GP, ED and DE;
fig. 3 is a performance comparison diagram of KNN spectrum sensing method based on GP, ED and DE.
Detailed Description
The following description of the embodiments of the present invention is provided to facilitate the understanding of the present invention by those skilled in the art, but it should be understood that the present invention is not limited to the scope of the embodiments, and it will be apparent to those skilled in the art that various changes may be made without departing from the spirit and scope of the invention as defined and defined in the appended claims, and all matters produced by the invention using the inventive concept are protected.
As shown in fig. 1, the method for sensing supervised spectrum based on geometric power includes the following steps:
s1, constructing a noise model with generalized Gaussian distribution, and simulating and receiving signals in a noise environment generated by the noise model;
s2, solving the geometric power of the received signal, and taking the obtained geometric power as a feature vector;
s3, constructing a supervised learning model, and training the supervised learning model through the feature vectors to obtain a trained supervised learning model;
and S4, acquiring and inputting the geometric power of the signal in the actual environment into the trained supervised learning model for spectrum sensing.
In the step S1, the shape parameter of the noise is more than 0 and less than or equal to 2, and the scale parameter of the noise is more than 0. Probability density function of noise model
Figure 936690DEST_PATH_IMAGE011
Comprises the following steps:
Figure 501664DEST_PATH_IMAGE012
wherein
Figure 619792DEST_PATH_IMAGE013
Is a gamma function;
Figure 970133DEST_PATH_IMAGE014
expressed as natural constantseA base exponential function;xis noise;
Figure 312253DEST_PATH_IMAGE015
representing a set of real numbers.
The specific method of step S2 includes the following substeps:
s2-1, sampling the received signals for N times, wherein the number of sampling points in each sampling is M, and obtaining N sample sets;
s2-2, according to a formula:
Figure 364523DEST_PATH_IMAGE001
through the first stepiThe average value of the samples in the sample set replaces the expected value, and the average value is obtainediGeometric power corresponding to each sample set
Figure 535610DEST_PATH_IMAGE002
(ii) a Wherein
Figure 255304DEST_PATH_IMAGE003
Is shown asiIs concentrated in a samplejA sample is obtained;
s2-3, according to a formula:
Figure 33904DEST_PATH_IMAGE004
constructing feature vectors
Figure 515746DEST_PATH_IMAGE005
。
The specific method of step S3 includes the following substeps:
s3-1, according to a formula:
Figure 37994DEST_PATH_IMAGE006
constructing hyperplane equation of supervised learning model to obtain linear kernel
Figure 346616DEST_PATH_IMAGE007
(ii) a Wherein
Figure 545385DEST_PATH_IMAGE008
Is a weight vector;
Figure 572247DEST_PATH_IMAGE009
is a deviation vector;
Figure 367027DEST_PATH_IMAGE010
represents a transpose of a matrix;
Figure 280888DEST_PATH_IMAGE008
and
Figure 401291DEST_PATH_IMAGE009
all are parameters to be trained of the supervised learning model; x is the input of the supervised learning model;
s3-2, initialization
Figure 118711DEST_PATH_IMAGE008
And
Figure 232029DEST_PATH_IMAGE009
；
s3-3, taking the feature vector as the input of a supervised learning model, and acquiring the value of a linear kernel corresponding to the feature vector;
s3-4, when the value of the linear kernel corresponding to the feature vector is larger than or equal to 1, outputting a label of a frequency spectrum used by a master user by the supervised learning model; when the value of the linear kernel corresponding to the feature vector is less than or equal to-1, the supervised learning model outputs a label of the unused frequency spectrum of the master user;
s3-5, judging whether the classification success rate of the current supervised learning model reaches an expected value or not, and if so, taking the current supervised learning model as the trained supervised learning model; otherwise, entering step S3-6;
s3-6, constructing a loss function, calculating a loss value through a real label of the feature vector and an output label of the supervised learning model, and reversely propagating and updating
Figure 515243DEST_PATH_IMAGE008
And
Figure 72126DEST_PATH_IMAGE009
and returning to the step S3-3.
The specific method for acquiring the geometric power of the signal in the actual environment in step S4 is as follows: the geometric power of the signal in the actual environment is obtained in the same manner as in step S2.
The supervised learning model in the step S3 comprises an SVM model and a KNN model, and the SVM model is preferentially adopted.
In an embodiment of the present invention, an SVM and KNN are respectively used as the supervised learning model, as shown in fig. 2 and fig. 3 (the abscissa is the signal-to-noise ratio, and the ordinate is the detection accuracy), the method has a large difference in performance between a method using geometric power (gp) as the feature vector and a method using energy statistics (es) and differential entropy (de) as the feature vector, specifically, when the signal-to-noise ratio is lower than-25 dB, the detection accuracy of the method is much higher than that of the method using energy statistics (es) and differential entropy (de), and the method can achieve a detection accuracy close to 100% when the signal-to-noise ratio is-30 dB, and the detection effect of the method is better than that of the other two methods.

Claims (6)

1. A supervised spectrum sensing method based on geometric power is characterized by comprising the following steps:
s1, constructing a noise model with generalized Gaussian distribution, and simulating and receiving signals in a noise environment generated by the noise model;
s2, solving the geometric power of the received signal, and taking the obtained geometric power as a feature vector;
s3, constructing a supervised learning model, and training the supervised learning model through the feature vectors to obtain a trained supervised learning model;
and S4, acquiring and inputting the geometric power of the signal in the actual environment into the trained supervised learning model for spectrum sensing.
2. The supervised spectrum sensing method based on geometric power as recited in claim 1, wherein in step S1, a shape parameter of the noise is greater than 0 and less than or equal to 2, and a scale parameter of the noise is greater than 0.
3. The supervised spectral sensing method based on geometric power according to claim 1, wherein the specific method of step S2 includes the following sub-steps:
s2-1, sampling the received signals for N times, wherein the number of sampling points in each sampling is M, and obtaining N sample sets;
s2-2, according to a formula:
Figure 294522DEST_PATH_IMAGE001
through the first stepiThe average value of the samples in each sample set replaces the expected value, and the average value is obtainediGeometric power corresponding to each sample set
Figure 492285DEST_PATH_IMAGE002
(ii) a Wherein
Figure 39941DEST_PATH_IMAGE003
Is shown asiIs concentrated in a samplejA sample is obtained;
s2-3, according to a formula:
Figure 23072DEST_PATH_IMAGE004
constructing feature vectors
Figure 997981DEST_PATH_IMAGE005
。
4. The supervised spectral sensing method based on geometric power according to claim 3, wherein the specific method of step S3 includes the following sub-steps:
s3-1, according to a formula:
Figure 683040DEST_PATH_IMAGE006
constructing hyperplane equation of supervised learning model to obtain linear kernel
Figure 34387DEST_PATH_IMAGE007
(ii) a Wherein
Figure 308242DEST_PATH_IMAGE008
Is a weight vector;
Figure 719632DEST_PATH_IMAGE009
is a deviation vector;
Figure 626408DEST_PATH_IMAGE010
representing a matrixTransposing;
Figure 594496DEST_PATH_IMAGE008
and
Figure 535907DEST_PATH_IMAGE009
all are parameters to be trained of the supervised learning model; x is the input of the supervised learning model;
s3-2, initialization
Figure 806613DEST_PATH_IMAGE008
And
Figure 200686DEST_PATH_IMAGE009
；
s3-3, taking the feature vector as the input of a supervised learning model, and acquiring the value of a linear kernel corresponding to the feature vector;
s3-4, when the value of the linear kernel corresponding to the feature vector is larger than or equal to 1, outputting a label of a frequency spectrum used by a master user by the supervised learning model; when the value of the linear kernel corresponding to the feature vector is less than or equal to-1, the supervised learning model outputs a label of the unused frequency spectrum of the master user;
s3-5, judging whether the classification success rate of the current supervised learning model reaches an expected value or not, and if so, taking the current supervised learning model as the trained supervised learning model; otherwise, entering step S3-6;
s3-6, constructing a loss function, calculating a loss value through a real label of the feature vector and an output label of the supervised learning model, and reversely propagating and updating
Figure 159414DEST_PATH_IMAGE008
And
Figure 204600DEST_PATH_IMAGE009
and returning to the step S3-3.
5. The supervised spectrum sensing method based on geometric power as claimed in claim 3, wherein the specific method for acquiring the geometric power of the signal in the actual environment in step S4 is as follows:
the geometric power of the signal in the actual environment is obtained in the same manner as in step S2.
6. The supervised geometric power-based supervised spectrum sensing method according to claim 4, wherein the supervised learning model in step S3 comprises an SVM model and a KNN model.
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