CN103414534B - A kind of generalized spatial modulation system receiver detection method in conjunction with threshold judgement - Google Patents
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Abstract
Description
技术领域technical field
本发明属于移动通信技术领域,更为具体地讲,涉及一种结合门限判决的广义空间调制系统接收机检测方法。The invention belongs to the technical field of mobile communication, and more specifically relates to a receiver detection method of a generalized space modulation system combined with threshold judgment.
背景技术Background technique
空间调制(SpatialModulation,SM)技术将固定数量的信息比特分成两部分,一部分用于选择发射天线,另一部分用于映射星座符号,并将映射的星座符号通过选择的发射天线进行传输,未被选择的发射天线则静默。采用SM技术可以避免MIMO(Multiple-InputMultiple-Output,多输入多输出)系统中存在的信道间干扰及发射天线同步的问题。而广义空间调制(GeneralizedSpatialModulation,GSM)技术可选择多根发射天线,并在不同的发射天线上传输不同的星座符号,以此提高系统的频谱利用率,具体内容详见:J.T.Wang,S.Y.Jia,J.Song,“Generalisedspatialmodulationsystemwithmultipleactivetransmitantennasandlowcomplexitydetectionscheme,”IEEETransactionsonWirelessCommunications,vol.11,no.4,pp.1605–1615,Apr.2012.广义空间调制技术将空间调制技术进行扩展,增加了每一时隙激活的发射天线的数目,并在不同的发射天线上发送不同的调制符号,由此提高系统的传输效率和频谱利用率。但是,基于广义空间调制技术的MIMO接收机在进行检测时,既要检测激活的发射天线位置,又要检测每个激活的发射天线上所携带的调制符号,因此要想获取最优性能,则需要对所有可能的发射信号进行遍历式搜索,并且用最大似然准则或最大后验概率准则等方法进行判决检测,从而使接收机的复杂度非常高。Spatial Modulation (SM) technology divides a fixed number of information bits into two parts, one part is used to select the transmitting antenna, the other part is used to map the constellation symbols, and the mapped constellation symbols are transmitted through the selected transmitting antenna, and the unselected The transmitting antenna is silent. The use of SM technology can avoid the problems of inter-channel interference and transmitting antenna synchronization in MIMO (Multiple-Input Multiple-Output) systems. The Generalized Spatial Modulation (GSM) technology can select multiple transmitting antennas, and transmit different constellation symbols on different transmitting antennas, so as to improve the spectrum utilization of the system. For details, see: J.T.Wang, S.Y.Jia, J. Song, "Generalised spatial modulation system with multiple active transmitant tennas and low complexity detection scheme," IEEE Transactions on Wireless Communications, vol.11, no.4, pp.1605–1615, Apr.2012. The generalized spatial modulation technology extends the spatial modulation technology and increases the number of active transmit antennas per time slot , and transmit different modulation symbols on different transmit antennas, thereby improving the transmission efficiency and spectrum utilization of the system. However, when detecting the MIMO receiver based on generalized spatial modulation technology, it is necessary to detect not only the position of the activated transmitting antenna, but also the modulation symbol carried by each activated transmitting antenna. Therefore, in order to obtain the optimal performance, the It is necessary to perform an ergodic search on all possible transmitted signals, and use methods such as maximum likelihood criterion or maximum a posteriori probability criterion to perform decision detection, so that the complexity of the receiver is very high.
发明内容Contents of the invention
本发明的目的在于克服现有技术的不足,提供一种结合门限判决的广义空间调制系统接收机检测方法,降低对可能发射信号的搜索次数,从而降低接收机的检测复杂度。The purpose of the present invention is to overcome the shortcomings of the prior art, provide a generalized spatial modulation system receiver detection method combined with threshold judgment, reduce the number of searches for possible transmitted signals, thereby reducing the detection complexity of the receiver.
为实现上述发明目的,本发明结合门限判决的广义空间调制系统接收机检测方法,其特征在于包括:In order to realize the above-mentioned object of the invention, the generalized space modulation system receiver detection method of the present invention in conjunction with threshold judgment is characterized in that comprising:
S1:接收机的接收信号为NR×1的列向量y=Hx+n,其中NR为接收天线数量,H为MIMO系统的信道矩阵,x为广义空间调制系统发射机的发送信号,n为均值为0、方差为σ2的加性高斯白噪声;对接收信号y进行预处理,得到接收信号的初步均衡信号z;S1: The received signal of the receiver is a column vector y=Hx+n of NR × 1, where NR is the number of receiving antennas, H is the channel matrix of the MIMO system, x is the transmitted signal of the transmitter of the generalized spatial modulation system, n is an additive white Gaussian noise with a mean value of 0 and a variance of σ2 ; the received signal y is preprocessed to obtain a preliminary equalized signal z of the received signal;
S2:根据预设的发射天线组合映射表中每个组合选择激活的发射天线,提取初步均衡信号z中对应的元素组成新向量zk,k=1,2,…,N,其中N为映射表中发射天线组合的总数;根据zk得到相应发射天线组合的可能性权值wk;S2: Select the active transmit antenna according to each combination in the preset transmit antenna combination mapping table, and extract the corresponding elements in the preliminary equalized signal z to form a new vector z k , k=1,2,...,N, where N is the mapping The total number of transmit antenna combinations in the table; obtain the possibility weight w k of the corresponding transmit antenna combination according to z k ;
S3:按可能性权值wk从大到小对发射天线组合进行排序,Cn表示排序后的第n个发射天线组合;S3: Sort the transmit antenna combination from large to small according to the possibility weight w k , and C n represents the nth transmit antenna combination after sorting;
S4:依次采用均衡检测方法检测得到排序后第n个发射天线组合Cn对应的检测信号tn,对检测信号tn进行解调得到检测星座符号数据,将检测星座符号数据分配给发射天线组合Cn中的各天线得到检测发送信号判断检测发送信号是否可靠,判决阈值为Vtheshold=NRσ2,一旦其中||·||F表示求取弗罗贝尼乌斯范数,则估计发送信号进入步骤S5,否则继续对下一个排序后的发射天线组合进行检测与判断;如果所有的发射天线组合都无法使则从所有检测发送信号中选择最优检测发送信号作为估计发送信号进入步骤S5;S4: Use the balanced detection method to detect and obtain the detection signal t n corresponding to the nth transmitting antenna combination C n after sorting, demodulate the detection signal t n to obtain the detected constellation symbol data, and distribute the detected constellation symbol data to the transmitting antenna combination Each antenna in C n gets the detection transmission signal Judgment detection send signal Whether it is reliable, the decision threshold is V theshold = N R σ 2 , once Where ||·|| F means to find the Frobenius norm, then estimate the sent signal Enter step S5, otherwise continue to detect and judge the transmitting antenna combination after the next sorting; if all transmitting antenna combinations cannot use then send a signal from all detections Select the optimal detected transmitted signal as the estimated transmitted signal Go to step S5;
S5:根据估计发送信号对应的发射天线组合及调制星座的映射表分别进行解映射,恢复出原始的二进制比特信息序列。S5: Send a signal based on the estimate The corresponding transmitting antenna combination and the mapping table of the modulation constellation are respectively demapped to restore the original binary bit information sequence.
本发明结合门限判决的广义空间调制系统接收机检测方法,通过对发射天线组合排序,采用均衡检测算法检测排序后的发射天线组合下的检测发送信号,并结合门限判决检测发送信号是否可靠,一旦有可靠的检测发送信号即将其作为最终的估计发送信号,只有当所有检测发送信号都不可靠时,才会需要遍历所有检测发送信号选择最优的作为估计发送信号。本发明通过门限判决,可以降低搜索的可能检测发送信号数目,从而有效降低了接收机的检测复杂度,并在较低复杂度的情况下获取较优的检测性能。The receiver detection method of the generalized space modulation system combined with the threshold judgment in the present invention, by sorting the combinations of transmitting antennas, adopting an equalization detection algorithm to detect the detection transmission signals under the sorted transmission antenna combinations, and combining the threshold judgment to detect whether the transmission signals are reliable, once If there is a reliable detection transmission signal, it will be used as the final estimated transmission signal. Only when all detection transmission signals are unreliable, it is necessary to traverse all detection transmission signals and select the optimal one as the estimated transmission signal. The present invention can reduce the number of possible detection and transmission signals to be searched through the threshold judgment, thereby effectively reducing the detection complexity of the receiver, and obtaining better detection performance under the condition of lower complexity.
附图说明Description of drawings
图1是广义空间调制系统发射机的发射过程示意图;Fig. 1 is a schematic diagram of the transmitting process of a generalized spatial modulation system transmitter;
图2是本发明结合门限判决的广义空间调制系统接收机检测方法的一种具体实施方式示意图。Fig. 2 is a schematic diagram of a specific embodiment of a detection method for a receiver of a generalized spatial modulation system combined with threshold judgment according to the present invention.
具体实施方式detailed description
下面结合附图对本发明的具体实施方式进行描述,以便本领域的技术人员更好地理解本发明。需要特别提醒注意的是,在以下的描述中,当已知功能和设计的详细描述也许会淡化本发明的主要内容时,这些描述在这里将被忽略。Specific embodiments of the present invention will be described below in conjunction with the accompanying drawings, so that those skilled in the art can better understand the present invention. It should be noted that in the following description, when detailed descriptions of known functions and designs may dilute the main content of the present invention, these descriptions will be omitted here.
为更好地对本发明进行说明,先介绍本发明技术方案所用到的术语和广义空间调制系统发射机。In order to describe the present invention better, the terms used in the technical solution of the present invention and the generalized spatial modulation system transmitter are introduced first.
发射天线组合:指在发射机NT根发射天线中任意选取NP根的一组组合,选取的用于发送信息符号的NP根天线称为激活的发射天线,未被选择的称为静默的发射天线。Transmitting antenna combination: refers to a group of randomly selected NP roots among the N T transmitting antennas of the transmitter. The NP antennas selected for sending information symbols are called active transmitting antennas, and the unselected ones are called silent the transmitting antenna.
信道矩阵:假设每个发射天线与每个接收天线之间均为平坦衰落信道,则MIMO系统的信道矩阵为:Channel matrix: Assuming that each transmit antenna and each receive antenna is a flat fading channel, the channel matrix of the MIMO system is:
其中,NR为广义空间调制系统接收机的接收天线数量,hij为第j,1≤j≤NT根发射天线到第i,1≤i≤NR根接收天线的衰落系数且服从均值为0,方差为1的复高斯分布。Among them, NR is the number of receiving antennas of the generalized spatial modulation system receiver, h ij is the fading coefficient of the jth, 1≤j≤NT transmitting antenna to the i, 1≤i≤NR receiving antenna and obeys the mean value is 0 and a complex Gaussian distribution with variance 1.
信道子矩阵:指第k个发射天线组合所对应的信道子矩阵Hk是指该发射天线组合选择的NP根发射天线在信道矩阵H中所对应的NP个列向量组成的子矩阵。Channel sub-matrix: refers to the channel sub-matrix H corresponding to the kth transmit antenna combination. k refers to the sub-matrix composed of NP column vectors corresponding to the NP transmit antennas selected by the transmit antenna combination in the channel matrix H.
等效欧氏距离:等于发射信号x经过信道H后与接收信号向量y的弗罗贝尼乌斯范数,即等效欧氏距离dEuc=||y-Hx||F。Equivalent Euclidean distance: equal to the Frobenius norm between the transmitted signal x and the received signal vector y after passing through the channel H, that is, the equivalent Euclidean distance d Euc =||y-Hx|| F .
最大似然准则判决:指在可能的发射信号中选择使等效欧氏距离或其平方值最小的信号向量作为判决结果。Maximum likelihood criterion judgment: refers to selecting the signal vector that minimizes the equivalent Euclidean distance or its square value among the possible transmitted signals as the judgment result.
定理1:假设NR为系统的接收天线数目,σ2为加性高斯白噪声的方差,若检测发送信号满足则认为该检测信号是检测正确的,是可靠的,具体推导见FanWang,YongXiong,XiumeiYang,“ApproximateMLDetectionBasedonMMSEforMIMOSystems,”PIERSonline,vol.3,no.4,pp.475-480,2007。Theorem 1: Assuming that NR is the number of receiving antennas of the system, σ 2 is the variance of additive white Gaussian noise, if the transmitted signal is detected satisfy It is considered that the detection signal The detection is correct and reliable. For specific derivation, see FanWang, YongXiong, XiumeiYang, "Approximate ML Detection Based on MMSE for MIMO Systems," PIERSonline, vol.3, no.4, pp.475-480, 2007.
在广义空间调制系统发射机与接收机之间共享发射天线组合映射表和星座映射表。设MIMO系统的发射机有NT个发射天线,从中选择NP个天线发送数据,总共存在个天线组合,选择其中个用于发射天线组合映射表的设计,表示向下取整。图1是广义空间调制系统发射机的发射过程示意图。星座映射表可以根据工程应用的实际情况进行设置。如图1所示,广义空间调制系统发射机的发射过程包括以下步骤:The transmitting antenna combination mapping table and the constellation mapping table are shared between the generalized space modulation system transmitter and receiver. Assume that the transmitter of the MIMO system has N T transmitting antennas, from which N P antennas are selected to send data, and there are a total of Antenna combinations, choose one of A design for the transmit antenna combination mapping table, Indicates rounding down. FIG. 1 is a schematic diagram of a transmitting process of a transmitter of a generalized spatial modulation system. The constellation mapping table can be set according to the actual situation of engineering applications. As shown in Figure 1, the transmitting process of the generalized spatial modulation system transmitter includes the following steps:
S101:假设需要发送的数字化二进制信源数据中一帧数据为u=(u1,u2,…,uL),其中L为帧大小。本例中u=100111。S101: Assume that one frame of digitized binary source data to be sent is u=(u 1 ,u 2 ,...,u L ), where L is the frame size. In this example u=100111.
S102:对数据进行分流,将一部分数据用于选择相应的发射天线组合,另一部分数据
S103:根据u1映射发射天线组合。本例中根据发射天线组合映射表,10对应的发射天线为(1,4)。S103 : Map the transmitting antenna combination according to u1. In this example, according to the transmit antenna combination mapping table, the transmit antenna corresponding to 10 is (1, 4).
S104:根据u2映射调制星座符号,得到调制星座符号数据。本例中,根据星座映射表,01对应的调制星座符号为-1+i,11对应的调制星座符号为1+i,调制星座符号数据s=(-1+i,1+i)。S104: Map the modulation constellation symbols according to u 2 to obtain the modulation constellation symbol data . In this example, according to the constellation mapping table, the modulation constellation symbol corresponding to 01 is -1+i, the modulation constellation symbol corresponding to 11 is 1+i, and the modulation constellation symbol data s=(-1+i, 1+i).
S105:选择步骤S103得到的发射天线对步骤S104得到的调制星座符号数据进行发射。在已选择的发射天线组合中,用第v,1≤v≤NP个发射天线发送符号sv,则发送信号可表示为,其中,(·)T表示矩阵的转置,发送信号x拥有NT个元素,但只有NP个非零值,且非零元素所在位置为映射的组合中选择激活的发射天线所对应的索引。本例中得到的发射信号为x=(-1+i,0,0,1+i)T。发射机将发送信号x发送给接收机。S105: Select the transmit antenna obtained in step S103 to transmit the modulated constellation symbol data obtained in step S104. In the selected transmit antenna combination, use the v, 1≤v≤NP transmit antenna to transmit the symbol s v , then the transmitted signal can be expressed as , where (·) T represents the transpose of the matrix, the transmitted signal x has N T elements, but only N P non-zero values, and the position of the non-zero elements is corresponding to the selected active transmit antenna in the mapped combination index. The transmitted signal obtained in this example is x=(-1+i,0,0,1+i) T . The transmitter sends the signal x to the receiver.
图2是本发明结合门限判决的广义空间调制系统接收机检测方法的一种具体实施方式示意图。如图2所示,本发明结合门限判决的广义空间调制系统接收机检测方法包括以下步骤:Fig. 2 is a schematic diagram of a specific embodiment of a detection method for a receiver of a generalized spatial modulation system combined with threshold judgment according to the present invention. As shown in Figure 2, the generalized spatial modulation system receiver detection method combined with the threshold judgment of the present invention includes the following steps:
S201:对接收信号进行预处理:S201: Preprocessing the received signal:
接收机的接收信号记为y,y是NR×1的列向量,可表示为:The received signal of the receiver is denoted as y, and y is a column vector of N R ×1, which can be expressed as:
y=Hx+n=Hksk+ny=Hx+n=H k s k +n
其中NR为接收天线数量,H为MIMO系统的信道矩阵,x为广义空间调制系统发射机的发送信号,n为均值为0、方差为σ2的加性高斯白噪声,sk指所选择的第k个发射天线组合下所发送的调制星座符号数据。Among them, NR is the number of receiving antennas, H is the channel matrix of the MIMO system, x is the transmitted signal of the transmitter of the generalized spatial modulation system, n is the additive white Gaussian noise with the mean value of 0 and the variance of σ2 , and s k refers to the selected Modulated constellation symbol data sent under the k-th transmit antenna combination of .
对接收信号y进行预处理,得到接收信号的初步均衡信号z。The received signal y is preprocessed to obtain a preliminary equalized signal z of the received signal.
预处理可以直接采用信道矩阵的共轭转置进行预处理,也可以采用伪逆预处理,如采用信道列向量或信道矩阵进行伪逆预处理,也可以用信道矩阵的最小均方误差均衡矩阵进行预处理。本实施方式中,采用信道矩阵列向量进行伪逆预处理,初步均衡信号向量z为:Preprocessing can directly use the conjugate transposition of the channel matrix for preprocessing, or use pseudo-inverse preprocessing, such as using the channel column vector or channel matrix for pseudo-inverse preprocessing, or use the minimum mean square error equalization matrix of the channel matrix Do preprocessing. In this embodiment, the channel matrix column vector is used for pseudo-inverse preprocessing, and the preliminary equalized signal vector z is:
其中,hj,j∈{1,2,…,NT}表示第j根发射天线所对应的信道列向量,表示矩阵的伪逆运算,且(·)H表示矩阵的共轭转置,(·)T表示矩阵的转置。Among them, h j , j∈{1,2,…, NT } represents the channel column vector corresponding to the jth transmitting antenna, represents the pseudo-inverse operation of a matrix, and (·) H represents the conjugate transpose of the matrix, and (·) T represents the transpose of the matrix.
S202:计算发射天线组合可能性权值:S202: Calculate transmit antenna combination possibility weights:
根据发射机预设的发射天线组合映射表中每个组合选择激活的发射天线,提取均衡信号z中对应的元素组成新向量zk,k∈{1,2,…,N},其中N为映射表中发射天线组合的总数;根据zk得到相应发射天线组合的可能性权值wk。Select the active transmitting antenna according to each combination in the transmitting antenna combination mapping table preset by the transmitter, and extract the corresponding elements in the equalized signal z to form a new vector z k , k∈{1,2,…,N}, where N is The total number of transmit antenna combinations in the mapping table; the possibility weight w k of the corresponding transmit antenna combination is obtained according to z k .
可能性权值wk可以采用两种方法得到,一种是计算zk的弗罗贝尼乌斯范数或其平方,即wk=||zk||F或其中||·||F表示矩阵或向量的弗罗贝尼乌斯范数;另一种可以直接计算zk中各元素的模值并求和。The possibility weight w k can be obtained in two ways, one is to calculate the Frobenius norm of z k or its square, that is, w k = ||z k || F or Where ||·|| F represents the Frobenius norm of the matrix or vector; the other can directly calculate the modulus of each element in z k and sum them.
S203:对发射天线组合排序:按可能性权值wk从大到小对发射天线组合进行排序,Cn表示排序后的第n个发射天线组合;S203: Sorting the transmitting antenna combinations: sorting the transmitting antenna combinations according to the possibility weight w k from large to small, and C n represents the sorted nth transmitting antenna combination;
S204:初始化设置n=1。S204: Initially set n=1.
S205:依次采用均衡检测方法检测得到排序后第n个发射天线组合Cn对应的检测信号tn,对检测信号tn进行解调得到检测星座符号数据,将检测星座符号数据分配给发射天线组合Cn中的各天线得到检测发送信号 S205: Use the balanced detection method to detect and obtain the detection signal t n corresponding to the nth transmitting antenna combination C n after sorting, demodulate the detection signal t n to obtain the detected constellation symbol data, and distribute the detected constellation symbol data to the transmitting antenna combination Each antenna in C n gets the detection transmission signal
均衡检测方法可以采用所有适用于V-BLAST(Vertical-BellLabsLayeredSpace-Time,垂直-贝尔实验室分层空时)系统的均衡检测算法。本实施方式中采用线性均衡检测方法,包括两种常用算法:迫零(ZeroForcing,ZF)算法和最小均方误差(MinimumMeanSquareError,MMSE)算法。The balanced detection method can adopt all balanced detection algorithms applicable to the V-BLAST (Vertical-BellLabsLayeredSpace-Time, Vertical-Bell Labs Layered Space-Time) system. In this embodiment, a linear equalization detection method is adopted, including two commonly used algorithms: a zero-forcing (ZeroForcing, ZF) algorithm and a minimum mean square error (Minimum Mean Square Error, MMSE) algorithm.
当采用迫零算法时,检测信号其中Hn表示排序后发射天线组合Cn对应的信道子矩阵,(·)-1表示矩阵的求逆。When using the zero-forcing algorithm, the detection signal Where H n represents the channel sub-matrix corresponding to the sorted transmit antenna combination C n , and (·) -1 represents the inversion of the matrix.
当采用最小均方误差算法时,检测发送信号其中Hn表示排序后发射天线组合Cn对应的信道子矩阵,I为NP×NP的单位矩阵,(·)-1表示矩阵的求逆。When the minimum mean square error algorithm is used, the detection of the transmitted signal Where H n represents the channel sub-matrix corresponding to the sorted transmit antenna combination C n , I is the identity matrix of N P × NP , and (·) -1 represents the inversion of the matrix.
检测发送信号其中Q(·)为解调函数,其作用是将均衡检测得到的检测信号tn进行解调,得到相应的检测星座符号数据再将检测星座符号数据依次分配到发射天线组合Cn下激活的发射天线位置上,同时其余静默的发射天线的相应位置设为0,从而得到检测发送信号 Detect sending signal Among them, Q( ) is a demodulation function, its function is to demodulate the detection signal t n obtained by equalization detection, and obtain the corresponding detection constellation symbol data Then detect the constellation symbol data Sequentially assigned to the positions of the activated transmitting antennas under the transmitting antenna combination C n , while the corresponding positions of the remaining silent transmitting antennas are set to 0, so as to obtain the detection transmission signal
S206:判断检测发送信号是否可靠:S206: Judging and detecting the sending signal Is it reliable:
判决阈值为Vtheshold=NRσ2,如果则说明该检测发送信号可靠,估计发送信号进入步骤S209;如果不可靠,判断是否n<N,如果n<N,进入步骤S207,如果n=N,进入步骤S208;The decision threshold is V theshold = N R σ 2 , if Then it shows that the detected sending signal is reliable, and the estimated sending signal Enter step S209; if unreliable, judge whether n<N, if n<N, enter step S207, if n=N, enter step S208;
S207:n=n+1,返回步骤S205对下一个发射天线组合对应的检测发送信号进行判断。S207: n=n+1, return to step S205 to judge the detection transmission signal corresponding to the next transmission antenna combination.
S208:采用最大似然准则从N个发射天线组合对应的检测发送信号中选择最优检测发送信号作为估计发送信号,即S208: Using the maximum likelihood criterion to select the optimal detection transmission signal from the detection transmission signals corresponding to the N transmission antenna combinations as the estimated transmission signal, that is
最优检测发送信号的选择也可以采用最大后验概率准则。The selection of optimally detected transmitted signals may also adopt the maximum a posteriori probability criterion.
S209:根据估计发送信号对应的发射天线组合及调制星座的映射表分别进行解映射,恢复出原始的二进制比特信息序列。S209: Send a signal according to the estimation The corresponding transmitting antenna combination and the mapping table of the modulation constellation are respectively demapped to restore the original binary bit information sequence.
尽管上面对本发明说明性的具体实施方式进行了描述,以便于本技术领域的技术人员理解本发明,但应该清楚,本发明不限于具体实施方式的范围,对本技术领域的普通技术人员来讲,只要各种变化在所附的权利要求限定和确定的本发明的精神和范围内,这些变化是显而易见的,一切利用本发明构思的发明创造均在保护之列。Although the illustrative specific embodiments of the present invention have been described above, so that those skilled in the art can understand the present invention, it should be clear that the present invention is not limited to the scope of the specific embodiments. For those of ordinary skill in the art, As long as various changes are within the spirit and scope of the present invention defined and determined by the appended claims, these changes are obvious, and all inventions and creations using the concept of the present invention are included in the protection list.
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