WO2016065683A1 - Three-dimensional beam forming design method in multi-user 3d-multiple input multiple output (mimo) system - Google Patents

Three-dimensional beam forming design method in multi-user 3d-multiple input multiple output (mimo) system Download PDF

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WO2016065683A1
WO2016065683A1 PCT/CN2014/092049 CN2014092049W WO2016065683A1 WO 2016065683 A1 WO2016065683 A1 WO 2016065683A1 CN 2014092049 W CN2014092049 W CN 2014092049W WO 2016065683 A1 WO2016065683 A1 WO 2016065683A1
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user
antenna
base station
antenna array
users
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PCT/CN2014/092049
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Chinese (zh)
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任品毅
张逸炎
孙黎
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西安交通大学
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0617Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal for beam forming
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413MIMO systems
    • H04B7/0452Multi-user MIMO systems

Definitions

  • the invention belongs to the field of wireless communications, and in particular relates to a three-dimensional beamforming design method in a multi-user 3D-MIMO system.
  • 3D-MIMO Three dimensional Multiple-Input Multiple-Output
  • LTE Long Term Evolution
  • 3D-MIMO uses a large number of antennas to arrange spatial antenna arrays for three-dimensional beamforming signal transmission, which greatly improves system performance.
  • most of the previous studies have studied three-dimensional beamforming in the traditional two-dimensional channel model.
  • the antenna model used is only a fixed antenna port in which the antenna pattern has been fixed, and is not a planar antenna array composed of an active antenna system in practice. Ignoring the three-dimensional distribution characteristics of the user in space, the method of improving the system throughput only by adjusting the base station antenna downtilt is not ideal in the three-dimensional scene. Therefore, it is necessary to design an efficient three-dimensional beamforming scheme in combination with the characteristics of a complete three-dimensional system suitable for a 3D-MIMO system, particularly the characteristics of a planar antenna array used therein.
  • the object of the present invention is to apply a planar antenna array based on the newly proposed 3D channel model of the 3GPP organization, and propose a three-dimensional beamforming design method for a multi-user 3D-MIMO system for a single-cell multi-user cellular system.
  • the method effectively reduces the interference between multiple users of the system and greatly improves the overall throughput of the system.
  • the present invention adopts the following technical solutions:
  • a three-dimensional beamforming design method in a multi-user 3D-MIMO system includes the following steps:
  • each antenna port in the configured planar antenna array serves a separate user.
  • the precoding applied on these antenna ports is the precoding recommended in the 3GPP standard, and the user is served at the same time. Select from all users by a multi-user scheduling algorithm;
  • the configuration of the base station antenna array is determined by the designed multi-user scheduling algorithm.
  • the electronic downtilt angle used in the precoding applied to each antenna port is determined by the configuration of the adopted base station antenna array, and finally the system is maximized.
  • the purpose of throughput is determined by the designed multi-user scheduling algorithm.
  • a further improvement of the present invention is that, in step 1), the application is proposed to distribute the user's distribution law in the new 3D scene in the 3GPP standard, and calculate the probability density function of the apex angle of the user's direct viewing path.
  • step 1) the multi-user scheduling algorithm in the system should satisfy the following conditions:
  • step 2) the following steps are specifically included:
  • the base station selects the simultaneously scheduled users at each time interval using the designed multi-user scheduling algorithm
  • the base station uses a rectangular antenna array consisting of M ⁇ N antenna elements, one column of each antenna array serving as a single antenna port, serving one of the users simultaneously scheduled;
  • M is the number of rows of the antenna array
  • is the carrier wavelength
  • m is the serial number of the antenna element
  • d v is the line spacing of the array
  • ⁇ etilt is the electronic downtilt angle used.
  • is the pi
  • the electronic downtilt angle is the same in the precoding used by all antenna elements in the same antenna port
  • the electronic downtilt angle in the precoding used by different ports is different.
  • step 3 the following steps are specifically included:
  • the antenna array used by the base station is a rectangular antenna array composed of M ⁇ N antenna elements, and the M in the antenna array configuration should satisfy:
  • Ln() means taking the natural logarithm
  • E() means the mathematical expectation
  • ⁇ d is the difference of the apex angle of the user who is scheduled at the same time
  • ⁇ z is the apex angle of the antenna port serving user
  • is the adjustment angle
  • ⁇ d is the difference between the apex angles of the users scheduled at the same time
  • ⁇ M is calculated by the following formula:
  • is the carrier wavelength
  • d v is the row spacing of the array
  • M is the number of rows of the antenna array.
  • the present invention has the following advantages:
  • the present invention uses a newly proposed complete three-dimensional system model conforming to the 3D-MIMO system, including a three-dimensional scene, a planar antenna array model and a three-dimensional channel model, and combined with the characteristics of the system model to design a more realistic set of three-dimensional beam assignments.
  • Shape scheme, the influence of user distribution and user scheduling algorithm on beamforming effect is analyzed in the present invention, and The best method, which greatly improves the overall performance of the 3D-MIMO system.
  • Figure 1 is a diagram of a planar antenna array model.
  • FIG. 2 is a schematic diagram of beamforming of a single antenna port.
  • Figure 3 is a system model diagram of the beamforming scheme.
  • Figure 4 is a comparison of the wideband signal-to-noise ratio of the system under different electronic downtilt angles.
  • Figure 5 is a comparison of user rates for different antenna models and configurations.
  • FIG. 1 shows a planar antenna array used by a base station, and the specific description is as follows:
  • the two-dimensional antenna plane array used by the base station is composed of antenna elements arranged in M rows and N columns, and the distance between rows and columns is d H and d V , respectively .
  • Each antenna element is independently excited by a transmitter, and its amplitude and phase can be independently adjusted.
  • radio resources are allocated in units of antenna ports.
  • Each antenna port is composed of several physical antenna elements, all of which carry the same information.
  • the antenna elements, rather than the antenna port are given by the protocol.
  • the pattern of the antenna elements is divided into horizontal and vertical directions, and they are all modeled as a quadratic function. In the protocol, the direction of the vertical direction of a single antenna element is set to:
  • ⁇ 3dB represents the 3dB beamwidth in the vertical direction
  • SLA V represents the maximum attenuation of the antenna element in the vertical direction
  • the protocol states that in an antenna array, every K antennas will form an antenna port, each of which will be weighted by a precoding ⁇ m .
  • a column of M antenna elements in the antenna array will be formed into one antenna port, and the entire antenna array has N ports.
  • Figure 2 shows a case where an antenna port transmits a signal to a user after precoding ⁇ m weighting.
  • the precoding recommended in the protocol is used at this time:
  • is the carrier wavelength
  • m is the serial number of the antenna element
  • d v is the row spacing of the array.
  • is the pi
  • ⁇ etilt is the electron downtilt defined between 0° and 180°, where 90° is expressed in the plane of the antenna array.
  • the precoding ⁇ m used by the antenna elements in the same antenna port has the same electronic downtilt angle ⁇ etilt .
  • Such precoding makes the phase of each antenna element gradually change.
  • We set the phase of the mth antenna element to be offset (exp(-j(m-1) ⁇ d V ), so the gain effect of the entire antenna port can be expressed.
  • the precoding ⁇ m used can be compared with the assumed phase difference exp(-j(m-1) ⁇ d V )
  • Figure 3 is a model diagram of the entire system.
  • This is a single-cell versatile downlink MIMO system with a base station equipped with a two-dimensional antenna array and Num u users, all equipped with an omnidirectional antenna.
  • x i and y i as the relative distances of the i-th user to the base station in the system on the x-axis and the y-axis of the horizontal plane, respectively, and set the heights of the base station and the user i to h 0 and h i , respectively .
  • Let the user's apex angle ⁇ z be the angle of the z-axis positive semi-axial base station to the user's direct vision path in the figure, which ranges from 0° to 180°, and according to the geometric relationship
  • the apex angle ⁇ z can be calculated from the geographic location of the user, ie
  • the three-dimensional distribution of the user in the new scene is also proposed in the protocol.
  • all users had a height of 1.5 m.
  • it is difficult to perform three-dimensional beamforming because the users are too close together in the pitch angle domain to effectively distinguish the beams.
  • the user is still evenly distributed in the horizontal plane as before, but now only 20% of the users are in outdoor users, and the height is 1.5m.
  • Other indoors are considered to be in high-rise buildings.
  • the maximum number of floors in each building is evenly distributed within a certain range, and indoor users are evenly distributed in different heights of the building.
  • the user's location is limited to a certain area, including the minimum distance from the base station, the maximum distance from the base station, the minimum height of the user, and the maximum height of the user.
  • the distribution of the user's apex angle ⁇ z can be calculated, and the probability density function f ⁇ ( ⁇ z ) can be obtained.
  • the base station uses one antenna port to serve one user and simultaneously schedules multiple users.
  • SINR received signal to interference and noise ratio
  • the received power of the useful signal should be amplified as much as possible.
  • the characteristics of the antenna port pattern composed of antenna elements can be known as the precoded power used by this antenna port.
  • the subtilt angle and the apex angle of the user serving this antenna should have the following relationship: the power to receive the useful signal is maximum:
  • the main lobe of the antenna port pattern will be aligned to the service user, and the useful signal gain is the largest, which is obviously optimal when the base station only serves a single user.
  • the signals between different users will cause interference between users when serving multiple users.
  • the signal to interference and noise ratio is also the largest. Therefore, it is necessary to minimize the power of the interference while maintaining a large signal power, so that the user SINR can be maximized.
  • the main lobe is very similar to the quadratic function. Therefore, using the characteristics of the quadratic function - in the middle region is gentle and steep on both sides, we can reduce the interference by adjusting the downtilt angle of the antenna port.
  • the electronic downtilt angle is shifted by a small angle on the original basis, called the adjustment angle.
  • which is characterized by the antenna port pattern, shows that this will cause the signal power received by the user to be slightly reduced and the received interference signal to be greatly attenuated.
  • the program is expressed by a formula
  • the sign indicates the adjustment of the original apex angle
  • the direction of adjustment is the direction away from the inclination angle of other users.
  • the electronic downtilt angle will have an optimal value to maximize the user's signal to interference and noise ratio according to the location and top angle of the service user.
  • the configuration M of the base station antenna has a great influence on the performance of the three-dimensional beamforming. Therefore, the value of M will have an optimal value according to the distribution characteristics of the user in the scene.
  • the user scheduling algorithm has a great influence on the user.
  • the optimal user scheduling algorithm is determined by the distribution of the user in the scene, and the optimal user scheduling algorithm conforms to a certain objective function.
  • the optimal base station configuration and optimal electronic downtilt are related to the optimal user scheduling algorithm.
  • Figure 4 is a simulation diagram of the cumulative distribution function of the wideband signal to interference and noise ratio of the system under different downtilt schemes. If the shot S is a set of scheduled users then the broadband SINR of the user i can be expressed
  • Broadband SINR is an important indicator of system performance.
  • Figure 5 is a graph comparing the cumulative probability density of system user averages and rates for different antenna configurations.
  • the antenna configuration M achieves the optimal system performance at a certain value, and this value is the optimal M value.
  • the system performance improvement is very large compared with the conventionally used antenna port (AP).
  • AP conventionally used antenna port
  • the scheme is determined by multiple factors. The global optimal solution of the scheme will be to use the optimal antenna configuration under the optimal user scheduling algorithm, while using the most advantageous electronic downtilt.

Abstract

Disclosed is a three-dimensional beam forming design method in a multi-user 3D-Multiple Input Multiple Output (MIMO) system. The method includes the following steps: 1) according to a distribution model of users in a 3D scene, calculating a probability density function of vertex angles from a base station to user direct vision diameters, and designing a multi-user scheduling algorithm in a multi-user MIMO system according to the probability density function of the vertex angles; 2) when the base station sends signals to the users, each antenna port in a configured planar antenna array thereof serving an individual user, pre-codes applied to all the antenna ports being pre-codes suggested in a 3rd Generation Partnership Project (3GPP) standard, and the served users being selected from all the users via the multi-user scheduling algorithm; and 3) deciding, by the designed multi-user scheduling algorithm, configurations of the planar antenna array of the base station, and deciding, by the adopted configurations of the base station antenna array, an electronic downward inclination angle used in each pre-code applied to each antenna port, thereby achieving the aim of maximizing the throughput of the system finally. The present invention greatly improves the overall performance of the 3D-MIMO system.

Description

多用户3D-MIMO系统中三维波束赋形设计方法Three-dimensional beamforming design method in multi-user 3D-MIMO system 技术领域Technical field
本发明属于无线通信领域,具体涉及一种多用户3D-MIMO系统中三维波束赋形设计方法。The invention belongs to the field of wireless communications, and in particular relates to a three-dimensional beamforming design method in a multi-user 3D-MIMO system.
背景技术Background technique
近年来智能移动设备所需求的数据量远超于前,因而3GPP(3rd Generation Partnership Project)致力于在其标准中研究尖端技术来提高频谱效率和用户体验。Three dimensional Multiple-Input Multiple-Output(3D-MIMO)是目前3GPP在下一代长期演进(LTE)无线通信系统中研究的关键技术之一。相比于其他技术,3D-MIMO不需要大容量的回程链路和更多的频谱资源,它利用大量天线排布在空间天线阵列进行三维的波束赋形信号传输,极大的提升了系统性能。然而,以往的大多数研究都在传统二维信道模型下研究三维波束赋形,使用的天线模型也只是天线方向图已经固定天线端口,而并非实际中的有源天线系统组成的平面天线阵列。忽略了用户在空间的三维分布特性,仅通过调整基站天线下倾角来提升系统吞吐量的做法在三维场景中的效果并不理想。因此,需要结合适用于3D-MIMO系统的完整的三维系统的特点,特别是其中使用的平面天线阵列的特性,来设计高效的三维波束赋形方案。In recent years, the amount of data required for smart mobile devices is far superior, and 3GPP (3rd Generation Partnership Project) is committed to researching cutting-edge technologies in its standards to improve spectrum efficiency and user experience. Three dimensional Multiple-Input Multiple-Output (3D-MIMO) is one of the key technologies currently studied by 3GPP in the next generation Long Term Evolution (LTE) wireless communication system. Compared with other technologies, 3D-MIMO does not require large-capacity backhaul links and more spectrum resources. It uses a large number of antennas to arrange spatial antenna arrays for three-dimensional beamforming signal transmission, which greatly improves system performance. . However, most of the previous studies have studied three-dimensional beamforming in the traditional two-dimensional channel model. The antenna model used is only a fixed antenna port in which the antenna pattern has been fixed, and is not a planar antenna array composed of an active antenna system in practice. Ignoring the three-dimensional distribution characteristics of the user in space, the method of improving the system throughput only by adjusting the base station antenna downtilt is not ideal in the three-dimensional scene. Therefore, it is necessary to design an efficient three-dimensional beamforming scheme in combination with the characteristics of a complete three-dimensional system suitable for a 3D-MIMO system, particularly the characteristics of a planar antenna array used therein.
发明内容Summary of the invention
本发明的目的是在3GPP组织最新提出的3D信道模型基础上,应用平面天线阵列的特点,为单小区多用户蜂窝系统提出了一种多用户3D-MIMO系统中三维波束赋形设计方法,该方法有效的降低了系统多用户间干扰,大幅度提升了系统整体吞吐量。The object of the present invention is to apply a planar antenna array based on the newly proposed 3D channel model of the 3GPP organization, and propose a three-dimensional beamforming design method for a multi-user 3D-MIMO system for a single-cell multi-user cellular system. The method effectively reduces the interference between multiple users of the system and greatly improves the overall throughput of the system.
为实现上述目的,本发明采用如下的技术方案:To achieve the above object, the present invention adopts the following technical solutions:
多用户3D-MIMO系统中三维波束赋形设计方法,包括以下步骤:A three-dimensional beamforming design method in a multi-user 3D-MIMO system includes the following steps:
1)根据用户在3D场景中的分布模型,计算基站到用户直视径的顶角的概率密度函数, 并根据顶角的概率密度函数来设计出在多用户MIMO系统中的多用户调度算法;1) calculating a probability density function of the apex angle of the base station to the user's direct viewing path according to the distribution model of the user in the 3D scene, And design a multi-user scheduling algorithm in multi-user MIMO system according to the probability density function of the top angle;
2)基站向用户发送信号时,其配置的平面天线阵列中的每一个天线端口都服务一个单独的用户,这些天线端口上所施加的预编码为3GPP标准中建议的预编码,同时服务的用户由多用户调度算法从所有用户中选择;2) When the base station sends a signal to the user, each antenna port in the configured planar antenna array serves a separate user. The precoding applied on these antenna ports is the precoding recommended in the 3GPP standard, and the user is served at the same time. Select from all users by a multi-user scheduling algorithm;
3)基站天线阵列的配置由所设计的多用户调度算法来决定,施加在每个天线端口上的预编码中使用的电子下倾角由采用的基站天线阵列的配置来决定,最终实现最大化系统吞吐量的目的。3) The configuration of the base station antenna array is determined by the designed multi-user scheduling algorithm. The electronic downtilt angle used in the precoding applied to each antenna port is determined by the configuration of the adopted base station antenna array, and finally the system is maximized. The purpose of throughput.
本发明进一步的改进在于,步骤1)中,应用被提出于3GPP标准中新的3D场景中用户的分布规律,计算用户直视径的顶角的概率密度函数。A further improvement of the present invention is that, in step 1), the application is proposed to distribute the user's distribution law in the new 3D scene in the 3GPP standard, and calculate the probability density function of the apex angle of the user's direct viewing path.
本发明进一步的改进在于,步骤1)中,该系统中的多用户调度算法,应该满足以下条件:A further improvement of the present invention is that, in step 1), the multi-user scheduling algorithm in the system should satisfy the following conditions:
其每次同时调度的用户其顶角之差为θd,应该满足θd的期望尽可能大,即The difference between the apex angles of the users who are simultaneously scheduled at each time is θ d , and the expectation that θ d should be satisfied is as large as possible, that is,
maxΕθd  (1)MaxΕθ d (1)
其中,E()表示取数学期望,同时,应该在满足以上条件下使得所有θd尽可能接近,即Where E() indicates that the mathematical expectation is taken, and at the same time, all the θ d should be made as close as possible, that is,
Figure PCTCN2014092049-appb-000001
Figure PCTCN2014092049-appb-000001
其中,
Figure PCTCN2014092049-appb-000002
表示所有θd的方差。
among them,
Figure PCTCN2014092049-appb-000002
Represents the variance of all θ d .
本发明进一步的改进在于,步骤2)中,具体包括如下的步骤:A further improvement of the present invention is that, in step 2), the following steps are specifically included:
2-1)基站使用设计的多用户调度算法选择每个时间间隔上同时调度的用户;2-1) The base station selects the simultaneously scheduled users at each time interval using the designed multi-user scheduling algorithm;
2-2)基站使用一个M×N个天线元素组成的矩形天线阵列,每个天线阵列的一列作为一个单独的天线端口,服务同时调度的其中一个用户;2-2) The base station uses a rectangular antenna array consisting of M×N antenna elements, one column of each antenna array serving as a single antenna port, serving one of the users simultaneously scheduled;
2-3)每个天线端口中第m个天线元素使用的预编码ωm2-3) The precoding ω m used by the mth antenna element in each antenna port is
Figure PCTCN2014092049-appb-000003
Figure PCTCN2014092049-appb-000003
其中,M为天线阵列的行数,λ为载波波长,m为天线元素的序号,dv为阵列的行间距,θetilt为使用的电子下倾角,
Figure PCTCN2014092049-appb-000004
π为圆周率,同一个天线端口中所有天线元素使用的预 编码中的电子下倾角都相同,不同的端口使用的预编码中的电子下倾角不同。
Where M is the number of rows of the antenna array, λ is the carrier wavelength, m is the serial number of the antenna element, d v is the line spacing of the array, and θ etilt is the electronic downtilt angle used.
Figure PCTCN2014092049-appb-000004
π is the pi, the electronic downtilt angle is the same in the precoding used by all antenna elements in the same antenna port, and the electronic downtilt angle in the precoding used by different ports is different.
本发明进一步的改进在于,步骤3)中,具体包括如下的步骤:A further improvement of the present invention is that, in step 3), the following steps are specifically included:
3-1)基站所使用的天线阵列为M×N个天线元素组成的矩形天线阵列,天线阵列配置中的M应该满足:3-1) The antenna array used by the base station is a rectangular antenna array composed of M×N antenna elements, and the M in the antenna array configuration should satisfy:
Figure PCTCN2014092049-appb-000005
Figure PCTCN2014092049-appb-000005
其中,
Figure PCTCN2014092049-appb-000006
表示向下取整,θM是满足下面超越方程的唯一解:
among them,
Figure PCTCN2014092049-appb-000006
Indicates rounding down, θ M is the only solution that satisfies the following transcendental equation:
Figure PCTCN2014092049-appb-000007
Figure PCTCN2014092049-appb-000007
其中,
Figure PCTCN2014092049-appb-000008
among them,
Figure PCTCN2014092049-appb-000008
ln()表示取自然对数,E()表示数学期望,θd为每次同时调度的用户其顶角之差;Ln() means taking the natural logarithm, E() means the mathematical expectation, and θ d is the difference of the apex angle of the user who is scheduled at the same time;
3-2)同一个天线端口中所有天线元素使用的预编码中的电子下倾角θetilt都相等,应该满足3-2) The electronic downtilt angle θ etilt in the precoding used by all antenna elements in the same antenna port is equal and should satisfy
θetilt=θz+Δθ  (5)θ etiltz +Δθ (5)
其中,θz为该天线端口服务用户的顶角,Δθ为调整角,应该满足Where θ z is the apex angle of the antenna port serving user, and Δθ is the adjustment angle, which should be satisfied
Δθ=θMd  (6)Δθ=θ Md (6)
其中,θd为每次同时调度的用户其顶角之差,θM是由下列公式计算:Where θ d is the difference between the apex angles of the users scheduled at the same time, and θ M is calculated by the following formula:
Figure PCTCN2014092049-appb-000009
Figure PCTCN2014092049-appb-000009
其中,λ为载波波长,dv为阵列的行间距,M为天线阵列的行数。Where λ is the carrier wavelength, d v is the row spacing of the array, and M is the number of rows of the antenna array.
与现有技术相比,本发明具有如下的优点:Compared with the prior art, the present invention has the following advantages:
本发明使用了符合3D-MIMO系统的最新提出的完整的三维系统模型,包括三维场景,平面天线阵列模型和三维信道模型,并结合该系统模型的特点设计出了更符合实际的整套三维波束赋形方案,本发明中分析了用户分布和用户调度算法对波束赋形效果的影响,给出了 最优方法,从而极大地提高了3D-MIMO系统的整体性能。The present invention uses a newly proposed complete three-dimensional system model conforming to the 3D-MIMO system, including a three-dimensional scene, a planar antenna array model and a three-dimensional channel model, and combined with the characteristics of the system model to design a more realistic set of three-dimensional beam assignments. Shape scheme, the influence of user distribution and user scheduling algorithm on beamforming effect is analyzed in the present invention, and The best method, which greatly improves the overall performance of the 3D-MIMO system.
附图说明DRAWINGS
图1是平面天线阵列模型图。Figure 1 is a diagram of a planar antenna array model.
图2是单个天线端口波束赋形示意图。2 is a schematic diagram of beamforming of a single antenna port.
图3是该波束赋形方案的系统整体模型图。Figure 3 is a system model diagram of the beamforming scheme.
图4是不同电子下倾角下系统宽带信干噪比对比图。Figure 4 is a comparison of the wideband signal-to-noise ratio of the system under different electronic downtilt angles.
图5是不同天线模型和配置下用户速率对比图。Figure 5 is a comparison of user rates for different antenna models and configurations.
具体实施方式detailed description
下面结合附图和实施例对本发明做进一步说明。The invention will be further described below in conjunction with the drawings and embodiments.
图1中表示基站所使用平面天线阵列,具体的描述如下:FIG. 1 shows a planar antenna array used by a base station, and the specific description is as follows:
基站使用的二维天线平面阵列是由排布成M行N列的天线元素所组成的,行之间和列之间的距离分别为dH和dV。每个天线元素都由一个发射机独立溃电激励,其幅度和相位都可以被独立的调整。在LTE中,无线资源按照天线端口为单位进行分配,每一个天线端口都是由数个物理上的天线元素组成,这些元素都携带者相同的信息。与传统的WINNER等信道不同,在新的三维系统模型协议中,天线元素而不是天线端口的方向图被协议给定。天线元素的方向图被划分为水平方向和垂直方向上的方向图,他们都被建模成为一个二次函数的形式。协议中,单个天线元素在垂直方向上的方向图被设定为:The two-dimensional antenna plane array used by the base station is composed of antenna elements arranged in M rows and N columns, and the distance between rows and columns is d H and d V , respectively . Each antenna element is independently excited by a transmitter, and its amplitude and phase can be independently adjusted. In LTE, radio resources are allocated in units of antenna ports. Each antenna port is composed of several physical antenna elements, all of which carry the same information. Unlike traditional WINNER channels, in the new 3D system model protocol, the antenna elements, rather than the antenna port, are given by the protocol. The pattern of the antenna elements is divided into horizontal and vertical directions, and they are all modeled as a quadratic function. In the protocol, the direction of the vertical direction of a single antenna element is set to:
Figure PCTCN2014092049-appb-000010
Figure PCTCN2014092049-appb-000010
θ3dB=65°,SLAV=30θ 3dB =65°, SLA V =30
其中,θ3dB表示垂直方向3dB波束宽都,SLAV表示垂直方向上天线元素最大衰减。Where θ 3dB represents the 3dB beamwidth in the vertical direction, and SLA V represents the maximum attenuation of the antenna element in the vertical direction.
协议中规定在天线阵列中,每K个天线将组成一个天线端口,其中的每个元素都将被一个预编码ωm加权。通常规定K=1或者K=M,在后一种情况下,天线阵列中一列M个天线元素将被组成一个天线端口,整个天线阵列有N个端口。 The protocol states that in an antenna array, every K antennas will form an antenna port, each of which will be weighted by a precoding ω m . Usually, K = 1 or K = M is specified. In the latter case, a column of M antenna elements in the antenna array will be formed into one antenna port, and the entire antenna array has N ports.
图2所示为一个天线端口在预编码ωm加权后,向一个用户传输信号的情况。此时使用的是协议中建议的预编码:Figure 2 shows a case where an antenna port transmits a signal to a user after precoding ω m weighting. The precoding recommended in the protocol is used at this time:
Figure PCTCN2014092049-appb-000011
Figure PCTCN2014092049-appb-000011
其中,M为天线阵列的行数,λ为载波波长,m为天线元素的序号,dv为阵列的行间距,
Figure PCTCN2014092049-appb-000012
π为圆周率,θetilt是定义在0°到180°之间的电子下倾角,其中90°表示于天线阵列平面。同一个天线端口中的天线元素使用的预编码ωm都有着相同的电子下倾角θetilt。这样的预编码使得每一个天线元素的相位逐渐改变,我们设第m个天线元素的相位为偏移为exp(-j(m-1)αdV),因此整个天线端口的增益效果可以被表示为F(θ)
Where M is the number of rows of the antenna array, λ is the carrier wavelength, m is the serial number of the antenna element, and d v is the row spacing of the array.
Figure PCTCN2014092049-appb-000012
π is the pi, and θ etilt is the electron downtilt defined between 0° and 180°, where 90° is expressed in the plane of the antenna array. The precoding ω m used by the antenna elements in the same antenna port has the same electronic downtilt angle θ etilt . Such precoding makes the phase of each antenna element gradually change. We set the phase of the mth antenna element to be offset (exp(-j(m-1)αd V ), so the gain effect of the entire antenna port can be expressed. F(θ)
Figure PCTCN2014092049-appb-000013
Figure PCTCN2014092049-appb-000013
其中,θ是电波传播的路径和水平面之间的俯仰角。当一个天线端口向一个用户直射发送信息时,用户的俯仰角θe就等于θ,因此由等比数列求和公式,可以计算得到F(θ)为Where θ is the pitch angle between the path of the wave propagation and the horizontal plane. When an antenna port transmits information directly to a user, the user's pitch angle θ e is equal to θ. Therefore, by the summation series formula, F(θ) can be calculated as
Figure PCTCN2014092049-appb-000014
Figure PCTCN2014092049-appb-000014
使用的预编码ωm与所假设的相位差exp(-j(m-1)αdV)相比,可以得到关系式The precoding ω m used can be compared with the assumed phase difference exp(-j(m-1)αd V )
Figure PCTCN2014092049-appb-000015
Figure PCTCN2014092049-appb-000015
当表达式When expression
Figure PCTCN2014092049-appb-000016
Figure PCTCN2014092049-appb-000016
成立时,有端口的方向性增益最大,此时有 When it is established, the directional gain of the port is the largest.
Figure PCTCN2014092049-appb-000017
Figure PCTCN2014092049-appb-000017
图3是整个系统的模型图。这是一个单小区多用的下行MIMO系统,其中有一个配有二维天线阵列的基站和Numu个用户,用户都配有一根全向天线。我们设xi和yi分别为在系统中的第i个用户到基站在水平面x轴和y轴上的相对距离,设基站和用户i的高度分别为h0和hi。设用户的顶角θz,是图中z轴正半轴向基站到用户直视径的角度,其范围在0°到180°之间,并且根据几何关系有Figure 3 is a model diagram of the entire system. This is a single-cell versatile downlink MIMO system with a base station equipped with a two-dimensional antenna array and Num u users, all equipped with an omnidirectional antenna. We set x i and y i as the relative distances of the i-th user to the base station in the system on the x-axis and the y-axis of the horizontal plane, respectively, and set the heights of the base station and the user i to h 0 and h i , respectively . Let the user's apex angle θ z be the angle of the z-axis positive semi-axial base station to the user's direct vision path in the figure, which ranges from 0° to 180°, and according to the geometric relationship
Figure PCTCN2014092049-appb-000018
Figure PCTCN2014092049-appb-000018
顶角θz可以由用户的地理位置计算得到,即The apex angle θ z can be calculated from the geographic location of the user, ie
Figure PCTCN2014092049-appb-000019
Figure PCTCN2014092049-appb-000019
Figure PCTCN2014092049-appb-000020
Figure PCTCN2014092049-appb-000020
用户在新的场景下的三维分布也在协议中提出了。在之前模型中,所有用户的高度都为1.5m,这种情况下很难进行三维的波束赋形因为用户在俯仰角域中相距太近了,无法有效区分波束。而提出的新的三种场景中,用户在水平面上依旧是均匀分布如前,但是现在只有20%的用户处于室外用户,高度为1.5m。而其他的室内都被认为在高楼中,每一栋楼的最高层数均匀分布在一定范围内,室内的用户也均匀分布在楼的不同高度中。这样,用户的位置被限制在了一定的区域内,包括与基站间最小距离的,与基站的最大距离,用户的最小高度,用户的最大高度。这样,由设定的用户分布模型,可以计算出用户的顶角θz的分布,并求出其概率密度函数fΘz)。The three-dimensional distribution of the user in the new scene is also proposed in the protocol. In the previous model, all users had a height of 1.5 m. In this case, it is difficult to perform three-dimensional beamforming because the users are too close together in the pitch angle domain to effectively distinguish the beams. In the new three scenarios proposed, the user is still evenly distributed in the horizontal plane as before, but now only 20% of the users are in outdoor users, and the height is 1.5m. Other indoors are considered to be in high-rise buildings. The maximum number of floors in each building is evenly distributed within a certain range, and indoor users are evenly distributed in different heights of the building. Thus, the user's location is limited to a certain area, including the minimum distance from the base station, the maximum distance from the base station, the minimum height of the user, and the maximum height of the user. Thus, from the set user distribution model, the distribution of the user's apex angle θ z can be calculated, and the probability density function f Θz ) can be obtained.
在该多用户系统中,基站使用每一个天线端口服务一个用户,并同时调度多个用户,通常天线阵列选用K=M,即每一列都为一个端口,共N个端口服务N个用户。为了使得基站向用户传输信号后用户的接收信干噪比(SINR)最大,那么首先应该尽量放大有用信号的接收功率。由天线元素组成的天线端口方向图的特性可以得知,这个天线端口使用的预编码的电 子下倾角和这个天线服务的用户的顶角应该有如下关系时可以是接收有用信号的功率最大:In the multi-user system, the base station uses one antenna port to serve one user and simultaneously schedules multiple users. Generally, the antenna array uses K=M, that is, each column is one port, and a total of N ports serve N users. In order to maximize the received signal to interference and noise ratio (SINR) of the user after the base station transmits a signal to the user, the received power of the useful signal should be amplified as much as possible. The characteristics of the antenna port pattern composed of antenna elements can be known as the precoded power used by this antenna port. The subtilt angle and the apex angle of the user serving this antenna should have the following relationship: the power to receive the useful signal is maximum:
Figure PCTCN2014092049-appb-000021
Figure PCTCN2014092049-appb-000021
这时天线端口的方向图的主瓣会对准这个服务用户,有用信号增益最大,显然在基站只服务单用户时这种方案是最优的。然而,现在同时服务的用户不止一个,同时服务多用户时不同的用户之间的信号会造成用户间的干扰。在接收功率最大的情况下并不一定能够保证信干噪比也最大。因此需要在保持大的信号功率的同时尽量降低干扰的功率,这样才能使得用户SINR最大。At this time, the main lobe of the antenna port pattern will be aligned to the service user, and the useful signal gain is the largest, which is obviously optimal when the base station only serves a single user. However, there are more than one user serving at the same time, and the signals between different users will cause interference between users when serving multiple users. In the case of the maximum received power, it is not always guaranteed that the signal to interference and noise ratio is also the largest. Therefore, it is necessary to minimize the power of the interference while maintaining a large signal power, so that the user SINR can be maximized.
根据天线端口的方向图我们可以发现,其主瓣与二次函数非常相似。因此,利用二次函数的特点——在中间区域平缓而在两侧陡峭,我们可以通过调整天线端口的下倾角来降低干扰。当两个用户的顶角相差非常小的时候,我们用θetilt=θz的策略会造成严重的干扰,此时将电子下倾角在原有的基础上偏移一个小的角度,称为调整角Δθ,由天线端口方向图的特点可知这会使得用户接收的信号功率略微减小而收到的干扰信号大大减弱。利用这个办法,我们可以非常简单的调整用户的下倾角就获得非常大的信干噪比增益。该方案用公式表示即According to the direction of the antenna port, we can find that the main lobe is very similar to the quadratic function. Therefore, using the characteristics of the quadratic function - in the middle region is gentle and steep on both sides, we can reduce the interference by adjusting the downtilt angle of the antenna port. When the difference between the top angles of the two users is very small, our strategy of using θ etilt = θ z will cause serious interference. At this time, the electronic downtilt angle is shifted by a small angle on the original basis, called the adjustment angle. Δθ, which is characterized by the antenna port pattern, shows that this will cause the signal power received by the user to be slightly reduced and the received interference signal to be greatly attenuated. Using this approach, we can very easily adjust the user's downtilt to get a very large signal to noise ratio gain. The program is expressed by a formula
θetilt=θz±Δθθ etiltz ±Δθ
其中,正负号表示对原来顶角的调整,调整的方向为远离其他用户下倾角的方向。电子下倾角根据服务用户位置和顶角的不同,将会有一个最优的取值使得用户的信干噪比最大。Among them, the sign indicates the adjustment of the original apex angle, and the direction of adjustment is the direction away from the inclination angle of other users. The electronic downtilt angle will have an optimal value to maximize the user's signal to interference and noise ratio according to the location and top angle of the service user.
同时,在方案中,基站天线的配置M,对三维波束赋形的性能有着较大的影响。因此M的取值,根据用户在场景中的分布特性不同,也将会有一个最优的取值。At the same time, in the scheme, the configuration M of the base station antenna has a great influence on the performance of the three-dimensional beamforming. Therefore, the value of M will have an optimal value according to the distribution characteristics of the user in the scene.
用户调度算法对于用户的影响很大,在方案中,最优的用户调度算法由用户在场景中的分布决定,最优的用户调度算法符合一定的目标函数。最优的基站配置和最优的电子下倾角,都与最优的用户调度算法有关。The user scheduling algorithm has a great influence on the user. In the scheme, the optimal user scheduling algorithm is determined by the distribution of the user in the scene, and the optimal user scheduling algorithm conforms to a certain objective function. The optimal base station configuration and optimal electronic downtilt are related to the optimal user scheduling algorithm.
图4是系统在不同下倾角方案下的宽带信干噪比的累积分布函数仿真图。如果射S为调度用户的集合那么用户i的宽带SINR可以表示 Figure 4 is a simulation diagram of the cumulative distribution function of the wideband signal to interference and noise ratio of the system under different downtilt schemes. If the shot S is a set of scheduled users then the broadband SINR of the user i can be expressed
Figure PCTCN2014092049-appb-000022
Figure PCTCN2014092049-appb-000022
其中,j代表干扰用户,Pn代表接收噪声。宽带SINR是衡量系统性能的重要指标。Where j represents the interfering user and P n represents the receiving noise. Broadband SINR is an important indicator of system performance.
使用蒙特卡洛仿真,选用多名用户在协议中定义的新的场景3D-Uma中使用不同的下倾角进行传输,得到了不同情况下的宽带SINR的累积分布函数曲线对比。结果显示如果我们使用不同的常数调整角,那么系统的性能会有非常大的差异。然而不论怎样的常数调整角Δθ都比不上我们使用的最优电子下倾角(最优调整角),在最优的电子下倾角情况下,系统性能最大化。Using Monte Carlo simulation, multiple users were selected to use different downtilt angles for transmission in the new scene 3D-Uma defined in the protocol, and the cumulative distribution function curve comparison of broadband SINR under different conditions was obtained. The results show that if we use different constant adjustment angles, the performance of the system will vary greatly. However, no matter how constant the adjustment angle Δθ is comparable to the optimal electronic downtilt angle (optimal adjustment angle) we use, the system performance is maximized under the optimal electronic downtilt angle.
图5是在不同的天线配置情况下系统用户平均和速率的累计概率密度对比图。当基站的天线使用不同的配置的时候,实际上对系统的性能也有较大的影响。可以看出在图中的仿真条件下,天线配置M在某一个值时达到系统性能最优,这个值即最优的M值。同时可以看到,与传统使用的天线端口(AP)相比,系统性能的提升是非常大的。同时这也说明该方案是由多个因素共同决定的,方案的全局最优解将是在最优的用户调度算法下使用最优的天线配置,同时使用最优点电子下倾角。 Figure 5 is a graph comparing the cumulative probability density of system user averages and rates for different antenna configurations. When the antenna of the base station uses different configurations, it actually has a greater impact on the performance of the system. It can be seen that under the simulation conditions in the figure, the antenna configuration M achieves the optimal system performance at a certain value, and this value is the optimal M value. At the same time, it can be seen that the system performance improvement is very large compared with the conventionally used antenna port (AP). At the same time, it also shows that the scheme is determined by multiple factors. The global optimal solution of the scheme will be to use the optimal antenna configuration under the optimal user scheduling algorithm, while using the most advantageous electronic downtilt.

Claims (5)

  1. 多用户3D-MIMO系统中三维波束赋形设计方法,其特征在于,包括以下步骤:A three-dimensional beamforming design method in a multi-user 3D-MIMO system, comprising the steps of:
    1)根据用户在3D场景中的分布模型,计算基站到用户直视径的顶角的概率密度函数,并根据顶角的概率密度函数来设计出在多用户MIMO系统中的多用户调度算法;1) Calculating a probability density function of the apex angle of the base station to the user's direct vision path according to the distribution model of the user in the 3D scene, and designing a multi-user scheduling algorithm in the multi-user MIMO system according to the probability density function of the apex angle;
    2)基站向用户发送信号时,其配置的平面天线阵列中的每一个天线端口都服务一个单独的用户,这些天线端口上所施加的预编码为3GPP标准中建议的预编码,同时服务的用户由多用户调度算法从所有用户中选择;2) When the base station sends a signal to the user, each antenna port in the configured planar antenna array serves a separate user. The precoding applied on these antenna ports is the precoding recommended in the 3GPP standard, and the user is served at the same time. Select from all users by a multi-user scheduling algorithm;
    3)基站天线阵列的配置由所设计的多用户调度算法来决定,施加在每个天线端口上的预编码中使用的电子下倾角由采用的基站天线阵列的配置来决定,最终实现最大化系统吞吐量的目的。3) The configuration of the base station antenna array is determined by the designed multi-user scheduling algorithm. The electronic downtilt angle used in the precoding applied to each antenna port is determined by the configuration of the adopted base station antenna array, and finally the system is maximized. The purpose of throughput.
  2. 根据权利要求1所述的多用户3D-MIMO系统中三维波束赋形设计方法,其特征在于,步骤1)中,应用被提出于3GPP标准中新的3D场景中用户的分布规律,计算用户直视径的顶角的概率密度函数。The method for designing a three-dimensional beamforming in a multi-user 3D-MIMO system according to claim 1, wherein in step 1), the application is proposed to distribute the user in a new 3D scene in the 3GPP standard, and calculate the user straight. The probability density function of the apex angle of the path of view.
  3. 根据权利要求1所述的多用户3D-MIMO系统中三维波束赋形设计方法,其特征在于,步骤1)中,该系统中的多用户调度算法,应该满足以下条件:The method for designing a three-dimensional beamforming in a multi-user 3D-MIMO system according to claim 1, wherein in the step 1), the multi-user scheduling algorithm in the system should satisfy the following conditions:
    其每次同时调度的用户其顶角之差为θd,应该满足θd的期望尽可能大,即The difference between the apex angles of the users who are simultaneously scheduled at each time is θ d , and the expectation that θ d should be satisfied is as large as possible, that is,
    maxΕθd   (1)MaxΕθ d (1)
    其中,E()表示取数学期望,同时,应该在满足以上条件下使得所有θd尽可能接近,即Where E() indicates that the mathematical expectation is taken, and at the same time, all the θ d should be made as close as possible, that is,
    Figure PCTCN2014092049-appb-100001
    Figure PCTCN2014092049-appb-100001
    其中,
    Figure PCTCN2014092049-appb-100002
    表示所有θd的方差。
    among them,
    Figure PCTCN2014092049-appb-100002
    Represents the variance of all θ d .
  4. 根据权利要求1所述的多用户3D-MIMO系统中三维波束赋形设计方法,其特征在于,步骤2)中,具体包括如下的步骤:The method for designing a three-dimensional beamforming in a multi-user 3D-MIMO system according to claim 1, wherein the step 2) specifically includes the following steps:
    2-1)基站使用设计的多用户调度算法选择每个时间间隔上同时调度的用户;2-1) The base station selects the simultaneously scheduled users at each time interval using the designed multi-user scheduling algorithm;
    2-2)基站使用一个M×N个天线元素组成的矩形天线阵列,每个天线阵列的一列作为一个 单独的天线端口,服务同时调度的其中一个用户;2-2) The base station uses a rectangular antenna array consisting of M×N antenna elements, one column of each antenna array as one A separate antenna port that serves one of the users simultaneously scheduled;
    2-3)每个天线端口中第m个天线元素使用的预编码ωm2-3) The precoding ω m used by the mth antenna element in each antenna port is
    Figure PCTCN2014092049-appb-100003
    Figure PCTCN2014092049-appb-100003
    其中,M为天线阵列的行数,λ为载波波长,m为天线元素的序号,dv为阵列的行间距,θetilt为使用的电子下倾角,
    Figure PCTCN2014092049-appb-100004
    π为圆周率,同一个天线端口中所有天线元素使用的预编码中的电子下倾角都相同,不同的端口使用的预编码中的电子下倾角不同。
    Where M is the number of rows of the antenna array, λ is the carrier wavelength, m is the serial number of the antenna element, d v is the line spacing of the array, and θ etilt is the electronic downtilt angle used.
    Figure PCTCN2014092049-appb-100004
    π is the pi, the electronic downtilt angles used in the precoding used by all antenna elements in the same antenna port are the same, and the electronic downtilt angles in the precoding used by different ports are different.
  5. 根据权利要求4所述的多用户3D-MIMO系统中三维波束赋形设计方法,其特征在于,步骤3)中,具体包括如下的步骤:The method for designing a three-dimensional beamforming in a multi-user 3D-MIMO system according to claim 4, wherein the step 3) specifically includes the following steps:
    3-1)基站所使用的天线阵列为M×N个天线元素组成的矩形天线阵列,天线阵列配置中的M应该满足:3-1) The antenna array used by the base station is a rectangular antenna array composed of M×N antenna elements, and the M in the antenna array configuration should satisfy:
    Figure PCTCN2014092049-appb-100005
    Figure PCTCN2014092049-appb-100005
    其中,
    Figure PCTCN2014092049-appb-100006
    表示向下取整,θM是满足下面超越方程的唯一解:
    among them,
    Figure PCTCN2014092049-appb-100006
    Indicates rounding down, θ M is the only solution that satisfies the following transcendental equation:
    Figure PCTCN2014092049-appb-100007
    Figure PCTCN2014092049-appb-100007
    其中,
    Figure PCTCN2014092049-appb-100008
    among them,
    Figure PCTCN2014092049-appb-100008
    ln()表示取自然对数,E()表示数学期望,θd为每次同时调度的用户其顶角之差;Ln() means taking the natural logarithm, E() means the mathematical expectation, and θ d is the difference of the apex angle of the user who is scheduled at the same time;
    3-2)同一个天线端口中所有天线元素使用的预编码中的电子下倾角θetilt都相等,应该满足3-2) The electronic downtilt angle θ etilt in the precoding used by all antenna elements in the same antenna port is equal and should satisfy
    θetilt=θz+Δθ   (5)θ etiltz +Δθ (5)
    其中,θz为该天线端口服务用户的顶角,Δθ为调整角,应该满足Where θ z is the apex angle of the antenna port serving user, and Δθ is the adjustment angle, which should be satisfied
    Δθ=θMd   (6)Δθ=θ Md (6)
    其中,θd为每次同时调度的用户其顶角之差,θM是由下列公式计算: Where θ d is the difference between the apex angles of the users scheduled at the same time, and θ M is calculated by the following formula:
    Figure PCTCN2014092049-appb-100009
    Figure PCTCN2014092049-appb-100009
    其中,λ为载波波长,dv为阵列的行间距,M为天线阵列的行数。 Where λ is the carrier wavelength, d v is the row spacing of the array, and M is the number of rows of the antenna array.
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