CN110912630A - Airspace spectrum sensing method based on multiple antennas - Google Patents
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Abstract
The invention belongs to the technical field of cognitive radio, and particularly relates to a spatial domain spectrum sensing method based on multiple antennas. The invention takes the space angle dimension information as a new space spectrum sensing method of spectrum opportunity, estimates the arrival angle of the signal space angle dimension, and can avoid the communication direction of the main user or carry out null antenna beam design on the communication direction of the main user through the beam forming technology, so that the cognitive user can avoid the communication direction of the main user at the same frequency, the same time or even the same place and carry out spectrum access through different space angles, thereby increasing the system capacity and improving the spectrum utilization rate. The invention takes the space angle dimension information as a new spectrum opportunity to detect the spectrum cavity of the space angle dimension, and compared with the traditional dimension spectrum sensing algorithm, the invention increases the system capacity and improves the spectrum utilization rate although the realization complexity is increased.
Description
Technical Field
The invention belongs to the technical field of cognitive radio, and particularly relates to a spatial domain spectrum sensing method based on multiple antennas.
Background
With the continuous development of wireless communication, spectrum resources become more scarce, which severely restricts the development of communication technology. To promote the development of wireless communication, it is necessary to improve the utilization rate of spectrum resources, wherein the Cognitive Radio (CR) technology is an effective method for solving the spectrum shortage and improving the utilization rate of spectrum resources. The basic idea of CR is spectrum sharing or spectrum reuse, which is characterized by allowing an unauthorized Cognitive User (CU) to access an authorized frequency band at an opportunity without interfering with the communication of an authorized Primary User (PU). To achieve this, the Cognitive User (CU) system must continuously detect whether an authorized Primary User (PU) is occupying a certain authorized frequency band, i.e. a spectrum sensing process.
Although the traditional dimensional spectrum sensing algorithm improves the detection performance to a certain extent, the detection is mainly carried out in the frequency dimension, the time dimension and the geographical latitude, and the spectrum development capability is limited. On the other hand, due to the rapid development of the multi-antenna technology and the application of the 5G large-scale antenna array, the mobile terminal and the base station have the angle identification capability, and the development of angle dimensional spectrum resources is promoted. If the arrival angle of the signal space angle dimension is estimated, the main user (PU) communication direction can be avoided or the null antenna beam design can be carried out on the main user communication direction through the beam forming technology, so that the cognitive user can avoid the communication direction of the main user at the same frequency, the same time or even the same place, and the spectrum access is carried out through different space angles, thereby increasing the system capacity and improving the spectrum utilization rate.
Disclosure of Invention
The invention provides a space domain spectrum sensing method based on multiple antennas, and aims to increase system capacity and improve spectrum utilization rate.
The technical scheme of the invention is as follows:
for a Cognitive User (CU) carrying multiple antennas, the antennas are isotropic M-element Uniform Circular Arrays (UCAs). Assuming that D (D is less than or equal to M) far-field main user signals in the space are incident to the M-element uniform circular array from different directions, and the circle center of the uniform circular array is taken as a reference point, the ith main user signal reaching the array element j is as follows:
wherein h isijIndicating the i-th primary user signal siChannel gain between (t) and jth receive antenna, zi(t) is the complex envelope of the ith primary user signal, containing signal information,is the carrier of the spatial signal. Since the signal satisfies the narrowband assumption, zi(t-τ)≈zi(t) throughThe signal after the propagation delay τ can be expressed as:
then ideally the signal received by the jth array element can be expressed as:
wherein, tauijThe time delay of the ith main user signal reaching the array element j relative to the reference point, wj(t) variance σ over array element j2White additive gaussian noise.
The spatial domain spectrum sensing method comprises the following steps:
s1, the array antennas perform N times of sampling on the received signal, and the signal received by each array antenna of the cognitive user is represented as:
wherein,for the phase difference caused by the propagation delay of the signal,1,2, D denotes the ith primary user signal, 1,2, …, M denotes the jth receiving antenna, θiAndrespectively indicates the azimuth angle and the elevation angle of the ith primary user signal, N is 0,1, …, N-1 indicates the nth sampling number, and λ indicates the wavelength,Represents the carrier angular frequency; let the received data of M array antennas form an M × N dimensional matrix:
wherein,the channel gain matrix of the receiving antenna of the main user and the cognitive user is shown,' indicates the dot product of the matrix,in the form of a matrix of signals,in order for the array to be popular, is an additive noise matrix;
Obtaining an estimated autocorrelation function by sampling a sequenceThen toDecomposing the eigenvalues to obtain M eigenvalues and corresponding eigenvectors thereof, thereby obtainingMaximum eigenvalue ofTraceAnd geometric mean of eigenvalues
S3, taking α E [0,1], calculating a test statistic T of the fusion detection algorithm:
obtaining false alarm probability P according to random matrix theoryfa:
Wherein,σ2is the variance of white Gaussian noise w (n), FTW(.) is a first order Tracy-Widom distribution; according to false alarm probability PfaDetermining a decision threshold gamma:
s4, comparing the statistic T with a decision threshold gamma:
if the test statistic T is larger than the judgment threshold gamma, the sub-band is occupied, a master user exists, and the step S5 is carried out;
if the test statistic T is smaller than the judgment threshold gamma, the sub-band is not occupied, a master user does not exist, and the cognitive user directly performs spectrum access;
s5, estimating the number of main signalsC, arranging the eigenvalues of the sample covariance matrix obtained in the step b from small to large, namely lambda1≥…≥λD>λD+1≥…≥λM,V=[q1,q2,...,qM]Is a corresponding characteristic value, calculating gammak=λk/λk+1K is 1,2, …, M-1, and an estimate of the number of primary signals is takenTo make gammak=max(γ1,γ2,…,γM-1) K is 1,2, …, value of k at M-1;
s6, DOA estimation is carried out on the main signal: estimating the value according to the number of main signalsStructure of the deviceNoise subspace of dimensionAccording toCalculating Music space spectrum, searching Music space and finding outAnd obtaining a main signal DOA estimated value by the peak value, and performing spectrum access on the communication direction avoiding the main user by the cognitive user through a beam forming technology.
The invention has the beneficial effects that: the spatial angle dimension information is used as a new spectrum opportunity to detect the spectrum cavity of the spatial angle dimension, and compared with the traditional dimensional spectrum sensing algorithm, the method increases the realization complexity, increases the system capacity and improves the spectrum utilization rate.
Drawings
FIG. 1 is a system diagram of a spatial-spectral sensing scheme of the present invention;
FIG. 2 is a diagram of a Uniform Circular Array (UCA) model;
FIGS. 3 and 5 are schematic diagrams of signal-to-noise ratio of detection probability VS at α ∈ [0.1,1] under Gaussian channel and Rayleigh fading channel, respectively;
fig. 4 and 6 are schematic diagrams of the DOA estimation Root Mean Square Error (RMSE) VS signal-to-noise ratio under gaussian channel and rayleigh fading channel, respectively.
Detailed Description
The technical solution of the present invention has been described in detail in the summary of the invention section, and the following description is provided to illustrate the applicability of the present invention in conjunction with a simulation example.
Suppose that there is only one master user with frequency f (D ═ 1), the transmitted signal is a QPSK signal, the number of antennas in the uniform circular array is M ═ 16, and the number of sampling points N is 10000.
First, the relationship between the signal-to-noise ratio and the detection probability of the detection scheme at different α values is comparedfaThe number of monte carlo simulations is 2000 for different signal-to-noise ratios (SNRs) — 0.01, SNR-24: 2: 4, as can be seen from fig. 3 and 5, when α e [0.1,1]The smaller the value of α, the better the detection performance of the detection scheme used in the scheme, when α is equal to 0.5 and α is equal to 1, the detection scheme used in the scheme is equivalent to the ME-GM (maximum-eigen-geometric-mean) algorithm and the MET (maximum-eigen-trace) algorithm, respectively, and as can be seen from fig. 3 and 5, when α is equal to or less than 0.4, the detection scheme used in the scheme is superior to the ME-GM algorithm and the MET algorithm.
Comparing Root Mean Square Error (RMSE) of DOA estimates at different signal-to-noise ratios, set the primary signal direction (θ, Φ) to (125 °,80.1 °), SNR to-22: 2: 4, the number of monte carlo simulations was 200 for different signal-to-noise ratios (SNRs). As can be seen from FIGS. 4 and 6, when SNR ≧ 15dB, the root mean square error RMSE of DOA estimation is <1 °, the DOA estimation scheme can more accurately estimate the arrival direction of the primary user signal, and the uniform circular array can realize 360 ° all-round estimation. After estimating the DOA of the main user signal, the cognitive user can avoid the main user access direction to perform spectrum access by using the beam forming technology, so that the spectrum utilization rate is improved, and the scheme can improve the spectrum utilization rate and increase the system capacity.
Claims (1)
1. A space domain spectrum sensing method based on multiple antennas is characterized in that for cognitive users carrying multiple antennas, the antennas are isotropic M-element uniform circular arrays, and D far-field main user signals enter the M-element uniform circular arrays from different directions in space, and the method comprises the following steps:
s1, the array antennas perform N times of sampling on the received signal, and the signal received by each array antenna of the cognitive user is represented as:
wherein,for the phase difference caused by the propagation delay of the signal,1,2, D denotes the ith primary user signal, 1,2, …, M denotes the jth receiving antenna, θiAndrespectively indicates the azimuth angle and the elevation angle of the ith primary user signal, N is 0,1, …, N-1 indicates the nth sampling number, and λ indicates the wavelength,Represents the carrier angular frequency; let the received data of M array antennas form an M × N dimensional matrix:
wherein,the channel gain matrix of the receiving antenna of the main user and the cognitive user is shown,' indicates the dot product of the matrix,in the form of a matrix of signals,in order for the array to be popular,is an additive noise matrix;
Obtaining an estimated autocorrelation function by sampling a sequenceThen toDecomposing the eigenvalues to obtain M eigenvalues and corresponding eigenvectors thereof, thereby obtainingMaximum eigenvalue ofTraceAnd geometric mean of eigenvalues
S3, taking α E [0,1], calculating a test statistic T of the fusion detection algorithm:
obtaining false alarm probability P according to random matrix theoryfa:
Wherein,σ2is the variance of white Gaussian noise w (n), FTW(.) is a first order Tracy-Widom distribution; according to false alarm probability PfaDetermining a decision threshold gamma:
s4, comparing the statistic T with a decision threshold gamma:
if the test statistic T is larger than the judgment threshold gamma, the sub-band is occupied, a master user exists, and the step S5 is carried out;
if the test statistic T is smaller than the judgment threshold gamma, the sub-band is not occupied, a master user does not exist, and the cognitive user directly performs spectrum access;
s5, estimating the number of main signalsC, arranging the eigenvalues of the sample covariance matrix obtained in the step b from small to large, namely lambda1≥…≥λD>λD+1≥…≥λM,V=[q1,q2,...,qM]Is a corresponding characteristic value, calculating gammak=λk/λk+1K is 1,2, …, M-1, and an estimate of the number of primary signals is takenTo make gammak=max(γ1,γ2,…,γM-1) K is 1,2, …, value of k at M-1;
s6, DOA estimation is carried out on the main signal: estimating the value according to the number of main signalsStructure of the deviceNoise subspace of dimensionAccording toCalculating Music space spectrum, searching Music space and finding outPeak value, thereby obtaining the DOA estimated value of the main signal and cognizing the userAnd performing spectrum access on the direction avoiding the main user communication through a beam forming technology.
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CN111835392A (en) * | 2020-07-13 | 2020-10-27 | 电子科技大学 | Multi-antenna space-domain spectrum sensing method based on non-circular signals |
CN112073131A (en) * | 2020-07-29 | 2020-12-11 | 北京邮电大学 | Spectrum sensing method based on phase difference distribution curve analytic expression and related equipment |
CN112073130A (en) * | 2020-07-29 | 2020-12-11 | 北京邮电大学 | Frequency spectrum sensing method based on three-point shaping of phase difference distribution curve and related equipment |
CN113037408A (en) * | 2021-03-09 | 2021-06-25 | 中国人民解放军军事科学院国防科技创新研究院 | Signal sensing method and device combining space arrival angle and frequency spectrum two-dimensional |
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Publication number | Priority date | Publication date | Assignee | Title |
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CN111835392A (en) * | 2020-07-13 | 2020-10-27 | 电子科技大学 | Multi-antenna space-domain spectrum sensing method based on non-circular signals |
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CN112073130A (en) * | 2020-07-29 | 2020-12-11 | 北京邮电大学 | Frequency spectrum sensing method based on three-point shaping of phase difference distribution curve and related equipment |
CN113037408A (en) * | 2021-03-09 | 2021-06-25 | 中国人民解放军军事科学院国防科技创新研究院 | Signal sensing method and device combining space arrival angle and frequency spectrum two-dimensional |
CN113037408B (en) * | 2021-03-09 | 2022-04-08 | 中国人民解放军军事科学院国防科技创新研究院 | Signal sensing method and device combining space arrival angle and frequency spectrum two-dimensional |
WO2023213081A1 (en) * | 2022-05-05 | 2023-11-09 | 中兴通讯股份有限公司 | Spectrum sensing method, electronic device and computer readable storage medium |
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