CN104618080B - Channel calibration method for extensive multiple-input and multiple-output tdd systems - Google Patents

Channel calibration method for extensive multiple-input and multiple-output tdd systems Download PDF

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CN104618080B
CN104618080B CN201510047935.XA CN201510047935A CN104618080B CN 104618080 B CN104618080 B CN 104618080B CN 201510047935 A CN201510047935 A CN 201510047935A CN 104618080 B CN104618080 B CN 104618080B
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粟欣
容丽萍
曾捷
刘强
许希斌
王京
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Tsinghua University
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Abstract

本发明涉及一种用于大规模多输入多输出时分双工系统的信道校准方法,属于无线通信中继信道校准技术领域,该方法包括:将大规模多输入多输出系统分成三个子系统,三个子系统包括一个单输入单输出系统,两个单输入多输出系统;分别校准三个子系统的上下行信道得出信道校准系数。然后根据三个子系统的信道校准系数得出整个多输入多输出系统的校准系数,再根据上行信道状态信息得出整个系统的比较准确的下行信道状态信息。本方法可以减少信道状态信息的反馈,使系统容量相较于一般传统方法有一定的提高,并减少了系统发送导频所消耗的功率。

The invention relates to a channel calibration method for a large-scale multiple-input multiple-output time division duplex system, which belongs to the technical field of wireless communication relay channel calibration. The method includes: dividing the large-scale multiple-input multiple-output system into three subsystems. The subsystems include a single-input single-output system and two single-input multiple-output systems; the uplink and downlink channels of the three subsystems are respectively calibrated to obtain channel calibration coefficients. Then the calibration coefficients of the whole MIMO system are obtained according to the channel calibration coefficients of the three subsystems, and the relatively accurate downlink channel state information of the whole system is obtained according to the uplink channel state information. The method can reduce the feedback of the channel state information, improve the system capacity compared with the general traditional method, and reduce the power consumed by the system to send the pilot frequency.

Description

用于大规模多输入多输出时分双工系统的信道校准方法Channel Alignment Method for Massive MIMO Time Division Duplex System

技术领域technical field

本发明属于无线通信中继信道校准技术领域,特别涉及一种无线通信领域TDD-LS-MIMO的多天线基站到多天线中继下行信道校准方法The invention belongs to the technical field of wireless communication relay channel calibration, in particular to a TDD-LS-MIMO multi-antenna base station to multi-antenna relay downlink channel calibration method in the wireless communication field

背景技术Background technique

随着移动终端的不断增加,下行数据的业务量也越来越大,多输入多输出(MIMO)系统可以增大信道容量,从而引起产业界和学术届的广泛关注。MIMO有两种双工模式,一种是频分双工(FDD),另一种是时分双工(TDD)。频分双工(FDD)是现在广泛应用的一种双工模式,主要特征为上下行信道工作在不同的的频段,然而在MIMO系统中,频分双工(FDD)在对下行信道状态进行估计时导频开销过于巨大。而采用时分双工(TDD)模式,因为其上下行信道都工作在同一频段,故上下行信道存在互易性,可根据上行信道状态信息估计下行信道状态信息。然而由于上下行发射,接收器件的不完美性,导致信道互易性遭到破坏,利用上行信道状态信息,不能准确的估算出下行信道的状态信息。故需要对上下行信道进行校准,使其满足互易性。传统的信道校准技术是,分别获得上下行信道状态信息,让后再进行校准得到上下行信道的关系,效率较低,且需要反馈大量的下行信道状态信息给基站。With the continuous increase of mobile terminals, the traffic volume of downlink data is also increasing. The multiple-input multiple-output (MIMO) system can increase the channel capacity, which has attracted extensive attention from the industry and academia. MIMO has two duplex modes, one is Frequency Division Duplex (FDD) and the other is Time Division Duplex (TDD). Frequency Division Duplex (FDD) is a duplex mode that is widely used now. The main feature is that the uplink and downlink channels work in different frequency bands. The pilot overhead is too large when estimated. In the time division duplex (TDD) mode, because both the uplink and downlink channels work in the same frequency band, there is reciprocity between the uplink and downlink channels, and the downlink channel state information can be estimated based on the uplink channel state information. However, due to the imperfection of uplink and downlink transmission and receiving devices, the channel reciprocity is destroyed, and the uplink channel status information cannot be accurately estimated by using the uplink channel status information. Therefore, it is necessary to calibrate the uplink and downlink channels to satisfy reciprocity. The traditional channel calibration technology is to obtain uplink and downlink channel state information separately, and then perform calibration to obtain the relationship between uplink and downlink channels. The efficiency is low, and a large amount of downlink channel state information needs to be fed back to the base station.

发明内容Contents of the invention

本发明的目的是为推进无线通信领域的时分双工大规模多输入多输出技术的应用,提出的一种用于大规模多输入多输出时分双工系统的信道校准方法,该方法可以较为准确度校准时分双工大规模多输入多输出系统上下行信道,通过互易性原理可以比较简洁的得到下行信道准确信息。The purpose of the present invention is to promote the application of time-division duplex large-scale multiple-input multiple-output technology in the field of wireless communication, and propose a channel calibration method for large-scale multiple-input multiple-output time-division duplex systems, which can be more accurate To calibrate the uplink and downlink channels of a time-division duplex massive MIMO system, the accurate information of the downlink channel can be obtained relatively simply through the principle of reciprocity.

本发明提出的一种用于大规模多输入多输出时分双工系统的信道校准方法,,其特征在于,该方法包括:将大规模多输入多输出系统分成三个子系统,三个子系统包括一个单输入单输出系统(SISO),两个单输入多输出系统(SIMO)。分别校准三个子系统的上下行信道得出信道校准系数。然后根据三个子系统的信道校准系数得出整个多输入多输出系统(MIMO)的校准系数,再根据上行信道状态信息得出整个系统的比较准确的下行信道状态信息。A channel calibration method for a large-scale MIMO time-division duplex system proposed by the present invention is characterized in that the method includes: dividing the large-scale MIMO system into three subsystems, and the three subsystems include a Single Input Single Output System (SISO), Two Single Input Multiple Output System (SIMO). Calibrate the uplink and downlink channels of the three subsystems respectively to obtain the channel calibration coefficients. Then, according to the channel calibration coefficients of the three subsystems, the calibration coefficients of the whole MIMO system are obtained, and then the relatively accurate downlink channel state information of the whole system is obtained according to the uplink channel state information.

本发明具体包括以下步骤:The present invention specifically comprises the following steps:

1)确定参考信道,参考天线,划分子系统:将大规模基站与用户的多输入多输出系统a分成三个子系统,用户B端发送上行导频信号,基站A端根据B端发送的导频信号估计上行信道状态信息,选出信道增益最高的一个信道作为参考信道,参考信道两端的天线作为参考天线,设A端有M根天线分别为A1~AM,基站A选出的参考天线为A1,A2~AM,Ai∈C(i=2,3,...M)表示A的其他天线;基站A发送含参考天线的信息给基站B,B端有N根天线分别为B1~BN,则基站B根据基站A发送的信息选出参考天线为B1,B2~BN(Bj∈D(j=2,3,..,N))表示B的其他天线;天线A1和天线B1组成单输入单输出子SISO系统b,参考天线A1和天线A2~AM组成一个单输入多输出子SIMO系统c,天线B1和天线B2~BN组成另一个单输入多输出子SIMO系统d;1) Determine the reference channel, refer to the antenna, and divide the subsystems: divide the multiple-input multiple-output system a of the large-scale base station and the user into three subsystems, the user B sends the uplink pilot signal, and the base station A sends the pilot according to the B-side The signal estimates the uplink channel state information, selects a channel with the highest channel gain as the reference channel, and the antennas at both ends of the reference channel as the reference antenna, assuming that there are M antennas at the A end, which are A 1 ~ A M , and the reference antenna selected by base station A A 1 , A 2 ~A M , A i ∈ C (i=2,3,...M) represent other antennas of A; base station A sends information including reference antennas to base station B, and B has N antennas are B 1 ~B N , then base station B selects the reference antenna as B 1 according to the information sent by base station A, and B 2 ~B N (B j ∈ D(j=2,3,..,N)) means that B Antenna A 1 and antenna B 1 form a single-input single-output sub-SISO system b, reference antenna A 1 and antennas A 2 to A M form a single-input multiple-output sub-SIMO system c, antenna B 1 and antenna B 2 ~B N form another single-input multiple-output sub-SIMO system d;

2)估计系统b的信道校准系数βb:估计SISO系统b上行和下行信道状态信息,根据公式(3)得到:Gb=Hb·βb (4),2) Estimating the channel calibration coefficient β b of system b: estimating the uplink and downlink channel state information of SISO system b, according to formula (3): G b = H b · β b (4),

其中,.多次估计Gb,Hb,生成一个总体最小二乘问题,解最小二乘问题,则求出校准系数βbin, . Estimate G b , H b multiple times to generate a total least squares problem, and solve the least squares problem to find the calibration coefficient β b ;

3)估计系统b的信道校准系数βc:A1和A2~AM组成的SIMO系统c,获得SIMO系统c上行和下行信道状态信息Gc,Hc,根据公式(3)得到:3) Estimate the channel calibration coefficient β c of system b: SIMO system c composed of A 1 and A 2 ~A M , obtain the uplink and downlink channel state information G c , H c of SIMO system c, according to formula (3):

Gc=βc·Hc (5)G cc H c (5)

其中,多次估计Gc,Hc,生成M-1个总体最小二乘问题,解最小二乘问题,则求出校准系数βcdiag(βc)为βc主对角线元素;in, Estimate G c , H c multiple times, generate M-1 total least squares problems, and solve the least squares problems, then find the calibration coefficient β c : diag(β c ) is the main diagonal element of β c ;

4)估计系统b的信道校准系数βd:获得由B1,B2~BN组成的SIMO系统d,获得该SIMO系统d上行和下行信道状态信息Gd,Hd,根据公式(3)可得到Gd=βd·Hd (6)4) Estimate the channel calibration coefficient β d of system b: obtain the SIMO system d composed of B 1 , B 2 ~B N , obtain the uplink and downlink channel state information G d , H d of the SIMO system d, according to the formula (3) Can get G d =β d ·H d (6)

其中多次估计Gd,Hd,生成N-1个总体最小二乘问题,解最小二乘问题,则求出校准系数βddiag(βd)为βd主对角线元素;in Estimate G d , H d multiple times, generate N-1 total least squares problems, and solve the least squares problem, then find the calibration coefficient β d : diag(β d ) is the main diagonal element of β d ;

5)计算大规模多输入多输出系统a的校准系数βa为:5) Calculate the calibration coefficient β a of the large-scale MIMO system a as:

通过步骤2),3),4)可以得出其中βbcc含βa的所有的信息,故βa用βbcc表示如下:Through steps 2), 3), and 4), it can be obtained that β b , β c , and β c contain all the information of β a , so β a is represented by β b , β c , and β c as follows:

6)根据公式(8)估计大规模多输入多输出系统a的下行信道状态信息:6) Estimate the downlink channel state information of the massive MIMO system a according to formula (8):

[G]mn=[H]mn·[βa]mn (8)[G] mn = [H] mna ] mn (8)

[G]mn为第mn个信道的下行信道状态信息,[H]mn为第mn个信道的上行信道状态信息,[G] mn is the downlink channel state information of the mnth channel, [H] mn is the uplink channel state information of the mnth channel,

a]mn为第mn个信道的信道校准系数,则根据上行信道信息估算下行信道状态信息。a ] mn is the channel calibration coefficient of the mnth channel, and the downlink channel state information is estimated according to the uplink channel information.

本方法可以减少信道状态信息的反馈,使系统容量相较于一般传统方法有一定的提高,并减少了系统发送导频所消耗的功率。The method can reduce the feedback of the channel state information, improve the system capacity compared with the general traditional method, and reduce the power consumed by the system to send the pilot frequency.

附图说明Description of drawings

图1为本发明的系统模型示意图。Fig. 1 is a schematic diagram of the system model of the present invention.

图2为本发明的系统等效电路示意图。Fig. 2 is a schematic diagram of a system equivalent circuit of the present invention.

图3本发明方法流程框图。Fig. 3 is a flow chart of the method of the present invention.

具体实施方式detailed description

本发明提出的用于大规模多输入多输出时分双工系统的信道校准方法,结构附图及实施例进一步说明如下:The channel calibration method for the large-scale MIMO time division duplex system proposed by the present invention, the structural drawings and the embodiments are further described as follows:

本发明将大规模基站与用户的多输入多输出系统分成三个子系统,如图1所示:大规模多输入多输出系统a(MIMO)分成的三个子系统包括一个单输入单输出系统b(SISO),两个单输入多输出系统c和d(SIMO)。发送端由基站A表示,接收端由用户B表示。A端有M根天线分别为A1~AM,A1为选定的参考天线,A2~AM(Ai∈C(i=2,3,...M))表示A的其他天线。B端有N根天线分别为B1~BN,B1为选定的参考天线,B2~BN(Bj∈D(j=2,3,..,N))表示B的其他天线。天线A1~AM和B1~BN组成整个的MIMO系统,参考天线A1和参考天线B1组成单输入单输出子SISO系统用系统b表示,参考天线A1和天线A2~AM组成其中一个单输入多输出子SIMO系统用系统c表示,天线B1和天线B2~BN组成另一个单输入多输出子SIMO系统用系统d表示。The present invention divides the MIMO system of large-scale base stations and users into three subsystems, as shown in Figure 1: the three subsystems divided into the large-scale multiple-input multiple-output system a (MIMO) include a single-input single-output system b ( SISO), two single-input multiple-output systems c and d (SIMO). The sending end is represented by base station A, and the receiving end is represented by user B. There are M antennas at terminal A, which are A 1 ~A M , A 1 is the selected reference antenna, and A 2 ~A M (A i ∈ C(i=2,3,...M)) represent other antennas of A antenna. There are N antennas at the B terminal, respectively B 1 ~B N , B 1 is the selected reference antenna, B 2 ~B N (B j ∈ D(j=2,3,..,N)) represents the other antennas of B antenna. Antennas A 1 ~A M and B 1 ~B N form the entire MIMO system. Reference antenna A 1 and reference antenna B 1 form a single-input single-output sub-SISO system, denoted by system b. Reference antenna A 1 and antennas A 2 ~A One of the single-input multiple-output sub-SIMO systems composed of M is denoted by system c, and the other single-input multiple-output sub-SIMO system is denoted by antenna B1 and antennas B2 - BN .

本发明的原理:Principle of the present invention:

上述系统的等效电路如图2所示:TA为A端发射电路的等效滤波器,TB为B端发射电路的等效滤波器,RA为A端接收电路的等效滤波器,RB为B端接收电路的等效滤波器,C为理想的电磁信道。The equivalent circuit of the above system is shown in Figure 2: T A is the equivalent filter of the transmitting circuit at the A terminal, T B is the equivalent filter of the transmitting circuit at the B terminal, and R A is the equivalent filter of the receiving circuit at the A terminal , RB is the equivalent filter of the receiving circuit at the B end, and C is an ideal electromagnetic channel.

设:下行信道状态信息为:G=RB·C·TA (1),Suppose: the downlink channel state information is: G=R B C T A (1),

上行信道状态信息为:H=RA·CT·TB (2)。The uplink channel state information is: H= RA · C T ·TB (2).

由于TA,TB,RA,RB的不完美性,故上行信道状态信息H和下行信道状态信息G不相等,即G≠H,为了利用H估计G,故需要对信道进行校准,即Due to the imperfection of TA , TB, RA , and RB , the uplink channel state information H and the downlink channel state information G are not equal, that is, G≠H. In order to use H to estimate G, the channel needs to be calibrated. which is

消去式(1)、(2)的C即可以得到:G=PB·H·PA (3),Elimination of C in formula (1), (2) can get: G=P B H P A (3),

其中并且不考虑天线之间的串扰问题则TA,TB,RA,RB为对角矩阵。in And without considering the crosstalk between the antennas, T A , T B , R A , and R B are diagonal matrices.

本发明用于大规模多输入多输出时分双工系统的信道校准方法,如图3所示,其特征在于,包括以下具体步骤:The present invention is used for the channel calibration method of large-scale multiple-input multiple-output time division duplex system, as shown in Figure 3, it is characterized in that, comprises the following specific steps:

1)确定参考信道,参考天线,划分子系统:用户B发送上行导频信号,基站A根据B发送的导频信号估计上行信道状态信息,选出信道增益最高的一个信道作为参考信道,参考信道两端的天线作为参考天线,设基站A选出的参考天线为A1,基站A发送含参考天线的信息给基站B,则基站B根据基站A发送的信息选出参考天线为B1,天线A1和天线B1组成单输入单输出子SISO系统b;1) Determine the reference channel, reference antenna, and divide the subsystem: User B sends an uplink pilot signal, and base station A estimates the uplink channel state information according to the pilot signal sent by B, and selects a channel with the highest channel gain as the reference channel, and the reference channel The antennas at both ends are used as reference antennas. Suppose the reference antenna selected by base station A is A 1 . Base station A sends information containing the reference antenna to base station B. Then base station B selects the reference antenna as B 1 according to the information sent by base station A. Antenna A 1 and antenna B 1 form a single-input single-output sub-SISO system b;

2)估计系统b的信道校准系数βb:估计SISO系统b上行和下行信道状态信息,根据公式(3)得到:Gb=Hb·βb (4),2) Estimating the channel calibration coefficient β b of system b: estimating the uplink and downlink channel state information of SISO system b, according to formula (3): G b = H b · β b (4),

其中,.多次估计Gb,Hb,则生成一个总体最小二乘问题,解最小二乘问题,便可以求出校准系数βbin, . Estimate G b , H b multiple times, then generate a total least squares problem, solve the least squares problem, then you can find the calibration coefficient β b ;

3)估计子系统c的信道校准系数βc:A1和A2~AM组成的SIMO系统c,获得SIMO系统c上行和下行信道状态信息Gc,Hc,根据公式(3)可得到:Gc=βc·Hc (5)3) Estimate the channel calibration coefficient β c of subsystem c: SIMO system c composed of A 1 and A 2 ~ A M , obtain the uplink and downlink channel state information G c , H c of SIMO system c, according to formula (3) can be obtained : G cc ·H c (5)

其中,(因为天线之间没有串扰问题,所以PC也为对角矩阵,系统c分解成M-1个SISO系统)多次估计Gc,Hc,则可以生成M-1个总体最小二乘问题,解最小二乘问题,便可以求出校准系数βc,diag(βc)为βc主对角线元素,则 in, (Because there is no crosstalk problem between antennas, PC is also a diagonal matrix, and system c is decomposed into M-1 SISO systems) Estimates of G c and H c multiple times can generate M-1 total least squares problems , to solve the least squares problem, the calibration coefficient β c can be obtained, and diag(β c ) is the main diagonal element of β c , then

4)估计子系统d的信道校准系数βd:获得由B1,B2~BN组成的SIMO系统d,获得该SIMO系统d上行和下行信道状态信息Gd,Hd,根据公式(3)可得到Gd=βd·Hd (6)4) Estimate the channel calibration coefficient β d of subsystem d: obtain the SIMO system d composed of B 1 , B 2 ~B N , and obtain the uplink and downlink channel state information G d , H d of the SIMO system d, according to the formula (3 ) can get G d =β d ·H d (6)

其中(因为天线之间没有串扰问题,所以PD也为对角矩阵,所以系统d可以分解成N-1个SISO系统)多次估计Gd,Hd,则可以生成N-1个总体最小二乘问题,解最小二乘问题,便可以求出校准系数βd。diag(βd)为βd主对角线元素, in (Because there is no crosstalk problem between antennas, P D is also a diagonal matrix, so system d can be decomposed into N-1 SISO systems) Estimates G d , H d multiple times can generate N-1 overall least squares The multiplication problem and the least squares problem can be solved to obtain the calibration coefficient β d . diag(β d ) is the main diagonal element of β d ,

5)计算整个系统a的校准系数βa为:5) Calculate the calibration coefficient β a of the whole system a as:

通过步骤2),3),4)可以得出其中βbcc含βa的所有的信息,故βa可以用βbcc表示如下:Through steps 2), 3), and 4), it can be obtained that β b , β c , and β c contain all the information of β a , so β a can be expressed by β b , β c , and β c as follows:

6)根据公式(8)估计系统a的下行信道状态信息:6) Estimate the downlink channel state information of system a according to formula (8):

[G]mn=[H]mn·[βa]mn (8)[G] mn = [H] mna ] mn (8)

[G]mn为第mn个信道的下行信道状态信息,[H]mn为第mn个信道的上行信道状态信息,[βa]mn为第mn个信道的信道校准系数,可根据上行信道信息估算下行信道状态信息,(由于天线发射电路和接收电路的相干时间较电磁信道相干时间长,故可在天线发射电路和接收电路的相干时间内校准多次次信道,可根据公式(8)估算多次下行信道状态信息。[G] mn is the downlink channel state information of the mnth channel, [H] mn is the uplink channel state information of the mnth channel, [β a ] mn is the channel calibration coefficient of the mnth channel, which can be based on the uplink channel information Estimate the downlink channel state information, (because the coherence time of the antenna transmitting circuit and the receiving circuit is longer than that of the electromagnetic channel, it can be calibrated multiple times in the coherence time of the antenna transmitting circuit and the receiving circuit, which can be estimated according to formula (8) Multiple downlink channel state information.

实施例Example

本发明方法的具体的实施例中令A端天线M=128,B端天线N=16;In the specific embodiment of the method of the present invention, make A-end antenna M=128, B-end antenna N=16;

本实施例方法的具体步骤如下:The specific steps of the present embodiment method are as follows:

1)用户B发送上行导频信号,基站A根据B发送的导频信号估计上行信道状态信息,选出信道增益最高的一个信道作为参考信道,参考信道两端的天线作为参考天线,则基站A可选出参考天线A1,基站A发送含参考天线的信息给基站B,则基站B可根据基站A发送的信息选出参考天线B1,天线A1和天线B1组成的系统b.1) User B sends the uplink pilot signal, base station A estimates the uplink channel state information according to the pilot signal sent by B, selects the channel with the highest channel gain as the reference channel, and the antennas at both ends of the reference channel as the reference antenna, then base station A can Select the reference antenna A 1 , base station A sends the information containing the reference antenna to the base station B, then the base station B can select the reference antenna B 1 according to the information sent by the base station A, the system b composed of the antenna A 1 and the antenna B 1 .

2.估计SISO系统b上行和下行信道状态信息Gb,Hb,根据公式(3)可得到:Gb=Hb·βb(4),2. Estimate SISO system b uplink and downlink channel state information G b , H b , according to formula (3): G b = H b · β b (4),

其中,.多次估计Gb,Hb,则可以生成一个总体最小二乘问题,解最小二乘问题,便可以求出系统b的信道校准系数βbin, . Estimate G b , H b multiple times, then a total least squares problem can be generated, and the channel calibration coefficient β b of system b can be obtained by solving the least squares problem;

3)A1和A2~A128组成的SIMO系统c,获得SIMO系统c上行和下行信道状态信息Gc,Hc,根据公式(3)可得到:Gc=βc·Hc (5)3) The SIMO system c composed of A 1 and A 2 ~ A 128 can obtain the uplink and downlink channel state information G c , H c of SIMO system c. According to the formula (3), it can be obtained: G cc H c (5 )

其中,(因为天线之间没有串扰问题,所以PC也为对角矩阵,系统c分解成127个SISO系统)多次估计Gc,Hc,则可以生成127个总体最小二乘问题,解最小二乘问题,便可以求出系统b的信道校准系数βc,diag(βc)为βc主对角线元素,则 in, (Because there is no crosstalk problem between antennas, PC is also a diagonal matrix, and system c is decomposed into 127 SISO systems.) Multiple estimations of G c and H c can generate 127 overall least squares problems, and solve least squares multiplication problem, the channel calibration coefficient β c of system b can be obtained, diag(β c ) is the main diagonal element of β c , then

4)获得由B1,B2~BN组成的SIMO系统d,获得该SIMO系统d上行和下行信道状态信息Gd,Hd,根据公式(3)可得到Gd=βd·Hd (6)4) Obtain the SIMO system d composed of B 1 , B 2 ~B N , and obtain the uplink and downlink channel state information G d , H d of the SIMO system d. According to formula (3), G dd ·H d can be obtained (6)

其中(因为天线之间没有串扰问题,所以PD也为对角矩阵,所以系统d可以分解成15个SISO系统)多次估计Gd,Hd,则可以生成15个总体最小二乘问题,解最小二乘问题,便可以求出系统b的信道校准系数βd。diag(βd)为βd主对角线元素, in (Because there is no crosstalk problem between antennas, P D is also a diagonal matrix, so system d can be decomposed into 15 SISO systems) Multiple estimations of G d , H d can generate 15 overall least squares problems, and solve By using the least square problem, the channel calibration coefficient β d of system b can be obtained. diag(β d ) is the main diagonal element of β d ,

5)计算系统a的校准系数为:5) Calculate the calibration coefficient of system a as:

通过步骤2,3,4可以得出其中βbcc含βa的所有的信息,故βa可以用βbcc表示如下:Through steps 2, 3, and 4, it can be obtained that β b , β c , and β c contain all the information of β a , so β a can be expressed by β b , β c , and β c as follows:

6)基于[G]mn=[H]mn·[βa]mn (8)6) Based on [G] mn = [H] mn · [β a ] mn (8)

[G]mn为第mn个信道的下行信道状态信息,[H]mn为第mn个信道的上行信道状态信息,[βa]mn为第mn个信道的信道校准系数,可根据上行信道信息估算下行信道状态信息,(由于天线发射电路和接收电路的相干时间较电磁信道相干时间长,故可在天线发射电路和接收电路的相干时间内校准多次信道,可根据公式(8)估算多次下行信道状态信息。[G] mn is the downlink channel state information of the mnth channel, [H] mn is the uplink channel state information of the mnth channel, [β a ] mn is the channel calibration coefficient of the mnth channel, which can be based on the uplink channel information Estimate the downlink channel state information, (since the coherence time of the antenna transmitting circuit and the receiving circuit is longer than the coherence time of the electromagnetic channel, it can be calibrated multiple times in the coherence time of the antenna transmitting circuit and the receiving circuit, and the multiple channels can be estimated according to formula (8) Secondary downlink channel state information.

Claims (1)

1. A channel calibration method for a large-scale multiple-input multiple-output time division duplex system is characterized by comprising the steps of dividing the large-scale multiple-input multiple-output system into three subsystems, wherein the three subsystems comprise a single-input single-output system and two single-input multiple-output systems; calibrating uplink and downlink channels of the three subsystems respectively to obtain channel calibration coefficients; then, obtaining the calibration coefficient of the whole multi-input multi-output system according to the channel calibration coefficients of the three subsystems, and obtaining the accurate downlink channel state information of the whole system according to the uplink channel state information;
the method specifically comprises the following steps:
1) determining a reference channel, a reference antenna, and dividing the subsystem: dividing a multi-input multi-output system a of a large-scale base station and a user into three subsystems, wherein a user B end sends an uplink pilot signal, a base station A end estimates uplink channel state information according to the pilot signal sent by the B end, one channel with the highest channel gain is selected as a reference channel, antennas at two ends of the reference channel are used as reference antennas, and the A end is provided with M antennas which are respectively A1~AMThe reference antenna selected by the base station A is A1,A2~AM,Ai∈ C, i is 2,3, M represents other antennas of the base station A, C represents a set formed by other antennas of the base station A, the base station A sends information containing reference antennas to the base station B, and N antennas at the B end are respectively B1~BNThen the base station B selects the reference antenna as B according to the information sent by the base station A1,B2~BN,Bj∈ D, j 2,3, N, for other antennas of base station B, D for the set of other antennas of base station B, antenna a1And an antenna B1Form a single-input single-output SISO system b, a reference antenna A1And an antenna A2~AMForming a single input multiple output sub SIMO system c and a reference antenna B1And an antenna B2~BNForming another single-input multi-output sub SIMO system d;
2) estimating β channel calibration coefficients for system bb: estimating uplink and downlink channel state information of SISO system b according to formula G ═ PB·H·PA(3) Wherein G is downlink channel state information, H is uplink channel state information, TAequivalent filter for A-terminal transmission circuit, TBEquivalent filter for B-terminal transmission circuit, RAEquivalent filters for A-terminal receiving circuits, RBIs terminated by BAn equivalent filter of the receiving circuit, and T without considering the problem of crosstalk between the antennasA,TB,RA,RBIs a diagonal matrix;
obtaining: gb=Hb·βb(4),
Wherein G isb,HbFor estimating the downlink and uplink channel state information of SISO system b,multiple estimation of Gb,HbGenerating a total least squares problem, solving the least squares problem, and finding the calibration coefficients βb
3) Estimating β channel calibration coefficients for system cc:A1And A2~AMSIMO system c composed of obtaining downlink and uplink channel state information G of SIMO system cc,HcAccording to the formula G ═ PB·H·PA(3) Obtaining:
Gc=βc·Hc(5)
wherein,multiple estimation of Gc,HcGenerating M-1 total least squares problems, solving the least squares problem, and finding the calibration coefficients βcdiag(βc) Is βcA main diagonal element;
4) estimating β channel calibration coefficients for system dd: obtained by B1,B2~BNComposed SIMO system d, obtaining the status information G of the downlink and uplink channels of the SIMO system dd,HdG is obtained from the formula (3)d=βd·Hd(6),
WhereinMultiple estimation of Gd,HdGenerating N-1 total least squares, solving the least squares problem, and finding the calibration coefficients βddiag(βd) Is βdA main diagonal element;
5) calculating β calibration coefficients for massive MIMO system aaComprises the following steps:
from steps 2),3),4) it is possible to derive βbccContaining βaAll of the information of (1), therefore βaBy βbccIs represented as follows:
<mrow> <msub> <mrow> <mo>&amp;lsqb;</mo> <msub> <mi>&amp;beta;</mi> <mi>a</mi> </msub> <mo>&amp;rsqb;</mo> </mrow> <mrow> <mi>m</mi> <mi>n</mi> </mrow> </msub> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>&amp;beta;</mi> <mi>b</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mrow> <mo>&amp;lsqb;</mo> <mi>d</mi> <mi>i</mi> <mi>a</mi> <mi>g</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;beta;</mi> <mi>d</mi> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> </mrow> <msub> <mrow> <mo>&amp;lsqb;</mo> <mi>d</mi> <mi>i</mi> <mi>a</mi> <mi>g</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;beta;</mi> <mi>c</mi> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mrow> <mi>m</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> </mfrac> <mo>,</mo> <mn>2</mn> <mo>&amp;le;</mo> <mi>m</mi> <mo>&amp;le;</mo> <mi>M</mi> <mo>,</mo> <mn>2</mn> <mo>&amp;le;</mo> <mi>n</mi> <mo>&amp;le;</mo> <mi>N</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <msub> <mi>&amp;beta;</mi> <mi>b</mi> </msub> <msub> <mrow> <mo>&amp;lsqb;</mo> <mi>d</mi> <mi>i</mi> <mi>a</mi> <mi>g</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;beta;</mi> <mi>c</mi> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mrow> <mi>m</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> </mfrac> <mo>,</mo> <mn>2</mn> <mo>&amp;le;</mo> <mi>m</mi> <mo>&amp;le;</mo> <mi>M</mi> <mo>,</mo> <mi>n</mi> <mo>=</mo> <mn>1</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>&amp;beta;</mi> <mi>b</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mrow> <mo>&amp;lsqb;</mo> <mi>d</mi> <mi>i</mi> <mi>a</mi> <mi>g</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;beta;</mi> <mi>d</mi> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>,</mo> <mi>m</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>&amp;le;</mo> <mi>n</mi> <mo>&amp;le;</mo> <mi>N</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>&amp;beta;</mi> <mi>b</mi> </msub> <mo>,</mo> <mi>m</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mi>n</mi> <mo>=</mo> <mn>1</mn> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>
6) estimating downlink channel state information of the massive multiple-input multiple-output system a according to formula (8):
[G]mn=[H]mn·[βa]mn(8)
[G]mnfor downlink channel state information of the nth channel, [ H ]]mnFor the uplink channel state information of the mn-th channel,
a]mnand if the channel calibration coefficient is the channel calibration coefficient of the nth channel, estimating the state information of the downlink channel according to the uplink channel information.
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