CN103441769B - PTS method for reducing PAPR of OFDM system - Google Patents
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Abstract
Description
技术领域technical field
本发明属于无线通信技术领域,具体涉及一种降低OFDM系统的PAPR的PTS方法。The invention belongs to the technical field of wireless communication, and in particular relates to a PTS method for reducing PAPR of an OFDM system.
背景技术Background technique
OFDM(Orthogonal Frequency Division Multiplexing,OFDM)是一种性能优越的多载波调制技术,因其能有效对抗符号间干扰(Inter-symbol Interference,ISI)和多径时延而受到广泛重视。OFDM系统中存在着多个正交的子载波,其输出信号是多个子信号的叠加,因而会出现很高的峰均功率比(Peak-to-average Power Ratio,PAPR)。高的PAPR会引起带外功率辐射,硬件非线性失真,子载波之间的相互干扰等,使得系统性能严重恶化。因此,降低OFDM系统的PAPR有着非常重要的意义。OFDM (Orthogonal Frequency Division Multiplexing, OFDM) is a multi-carrier modulation technology with superior performance, which has been widely valued because it can effectively combat inter-symbol interference (Inter-symbol Interference, ISI) and multipath delay. There are multiple orthogonal sub-carriers in the OFDM system, and its output signal is the superposition of multiple sub-signals, so there will be a high peak-to-average power ratio (PAPR). High PAPR will cause out-of-band power radiation, hardware nonlinear distortion, and mutual interference between subcarriers, etc., which will seriously deteriorate system performance. Therefore, it is of great significance to reduce the PAPR of the OFDM system.
目前降低OFDM系统PAPR的方法大致可分为三类:信号预畸变技术,编码类方法和概率类方法。概率类方法是目前研究的重点。概率类方法并没有真正降低OFDM信号的峰值功率,而是通过对原始OFDM信号实施线性分割或者线性变换来达到降低高峰值功率出现概率的目的。概率类方法包含很多算法,如子载波预留(Tone Reservation,TR)、选择性映射(Selective Mapping,SLM)、部分传输序列(Partial Transmit Sequence,PTS)等。为了能够在接收端恢复出原始信号,PTS技术需要传输一定的边带副信息,这就降低了系统的频谱利用效率。为了能在接收端准确地将边带副信息恢复出来,通常会采用额外的技术如编码技术来处理边带副信息,这可能会引起系统PAPR的再次升高,且又进一步降低了系统的频谱利用率。本文提出的自相关匹配-PTS方法在有效降低系统PAPR的同时,将旋转相位因子的信息植入到信号的自相关性当中,无需边带副信息的传输就能实现信号的恢复,大大提高了频谱利用效率。At present, the methods for reducing the PAPR of OFDM systems can be roughly divided into three categories: signal pre-distortion technology, coding methods and probability methods. Probabilistic methods are the focus of current research. The probabilistic method does not really reduce the peak power of the OFDM signal, but achieves the purpose of reducing the occurrence probability of high peak power by implementing linear segmentation or linear transformation on the original OFDM signal. Probabilistic methods include many algorithms, such as subcarrier reservation (Tone Reservation, TR), selective mapping (Selective Mapping, SLM), partial transmission sequence (Partial Transmit Sequence, PTS), etc. In order to restore the original signal at the receiving end, the PTS technology needs to transmit certain sideband side information, which reduces the spectrum utilization efficiency of the system. In order to accurately recover the sideband side information at the receiving end, additional techniques such as coding techniques are usually used to process the sideband side information, which may cause the system PAPR to increase again, and further reduce the system spectrum utilization rate. The autocorrelation matching-PTS method proposed in this paper not only effectively reduces the PAPR of the system, but also embeds the information of the rotational phase factor into the autocorrelation of the signal, and can realize the recovery of the signal without the transmission of sideband information, which greatly improves the Spectrum utilization efficiency.
发明内容Contents of the invention
本发明的目的在于提供一种降低OFDM系统的PAPR的PTS方法,将旋转相位序列的判别信息植入到信号的自相关性当中,无需传输边带副信息就可以将原始信号恢复出来,提高频谱利用效率。The purpose of the present invention is to provide a PTS method for reducing the PAPR of the OFDM system, implanting the discriminant information of the rotating phase sequence into the autocorrelation of the signal, and recovering the original signal without transmitting sideband information, thereby improving the frequency spectrum usage efficiency.
本发明的目的是通过以下技术方案来实现的:The purpose of the present invention is achieved through the following technical solutions:
S1、设经过串并变换和基带调制后的频域信号为X,按照传统PTS的划分规则将其划分为V个子块X(m),其中,m=1,2,…,V,然后将所有子块通过自相关系数判别器,判断出相关系数G(z);S1. Let the frequency-domain signal after serial-to-parallel conversion and baseband modulation be X, divide it into V sub-blocks X (m) according to the traditional PTS division rules, where m=1,2,...,V, and then All sub-blocks judge the correlation coefficient G(z) through the autocorrelation coefficient discriminator;
S2、将S1所判别出的自相关系数G(z)和S1所述所有子块一起通过自相关信号发生器,得到自相关频域子块信号;S2, passing the autocorrelation coefficient G(z) identified by S1 and all the subblocks described in S1 through the autocorrelation signal generator to obtain the autocorrelation frequency domain subblock signal;
S3、对S2所得自相关频域子块信号进行IFFT变换,将频域自相关子块信号变换到时域,变换后的所有子块信号分别乘以相位旋转因子b(m),b(m)∈(+1,-1),m=1,2,…,V,假设频域时域子块信号为则将b(m)与相乘可以得到备选传输序列 S3. Perform IFFT transformation on the autocorrelation frequency domain sub-block signal obtained in S2, transform the frequency domain autocorrelation sub-block signal into the time domain, and multiply all sub-block signals after the transformation by the phase rotation factors b(m), b(m) )∈(+1,-1), m=1,2,…,V, assuming that the sub-block signal in frequency domain and time domain is Then combine b(m) with Multiply to get the alternative transmission sequence
S4、根据PAPR计算公式计算每个备选传输序列的PAPR,并选择其中最小的PAPR最小的信号用于传输;S4. Calculate each candidate transmission sequence according to the PAPR calculation formula PAPR, and choose the smallest signal among which the smallest PAPR for transmission;
S5、假设在接收端收到的信号为y,对y进行FFT操作,变换成频域信号;S5. Suppose the signal received at the receiving end is y, Perform FFT operation on y and transform it into a frequency domain signal;
S6、按照S1所述分块方式对y进行分块,划分为V个子块,每个子块表示为Y(m),m=1,2,…,V,对Y(m)进行自相关运算,恢复出自相关系数和每一个子块所乘的旋转相位,得到消除自相关性之后的信号1≤i≤V,所述自相关运算规则为,若一个子块的自相关值为正,则该子块的自相关系数恢复为k(k>0);若其自相关值为负,则该子块的自相关值恢复为-k(k>0);S6. According to the block method described in S1, y is divided into blocks, divided into V sub-blocks, each sub-block is expressed as Y (m) , m=1, 2, ..., V, Perform an autocorrelation operation on Y (m) , restore the autocorrelation coefficient and the rotation phase multiplied by each sub-block, and obtain the signal after eliminating the autocorrelation 1≤i≤V, the autocorrelation operation rule is, if the autocorrelation value of a sub-block is positive, then the autocorrelation coefficient of the sub-block is restored to k (k>0); if its autocorrelation value is negative, Then the autocorrelation value of the sub-block is restored to -k (k>0);
S7、将S6所得与该所对应的旋转相位1≤i≤V相乘,得到最终恢复的各子块信号,将所述最终恢复的各子块信号相加,得到最终恢复的数据块Y*, S7, use the income from S6 with the The corresponding rotation phase 1≤i≤V multiplied to obtain the final restored sub-block signals, adding the final restored sub-block signals to obtain the final restored data block Y * ,
S8、对S7所得Y*进行基带解调和并串变换,得到最终恢复出的信号。S8. Perform baseband demodulation and parallel-to-serial conversion on Y * obtained in S7 to obtain a finally recovered signal.
进一步地,S3所述备选传输序列的个数为n=2V-1。Further, the number of candidate transmission sequences in S3 is n=2 V-1 .
本发明的有益效果是:是在OFDM信号分块以后,根据每一个子块第一个数据点实部的正负分别加入自相关系数不同的自相关性,以此达到降低OFDM信号PAPR和接收端无需边带副信息检测信号的目的。在接收端根据每一个子块自相关值的正负恢复出自相关系数,并且将消除了自相关性之后的子块信号与其对应的自相关系数相乘,根据乘积的正负来判断该子块所乘的相位旋转序列。自相关匹配-PTS在有效降低OFDM信号PAPR的同时,在接收端无需边带副信息即可恢复出原始信号,节省了带宽,有效地提高了频谱利用效率。The beneficial effects of the present invention are: after the OFDM signal is divided into blocks, the autocorrelations with different autocorrelation coefficients are added according to the positive and negative of the real part of the first data point of each sub-block, so as to reduce the OFDM signal PAPR and receive The end does not need sideband side information for detection signal purposes. At the receiving end, the autocorrelation coefficient is restored according to the sign of the autocorrelation value of each sub-block, and the sub-block signal after the autocorrelation is eliminated is multiplied by the corresponding autocorrelation coefficient, and the sub-block is judged according to the sign of the product Phase rotation sequence to multiply by. Autocorrelation matching-PTS can effectively reduce the PAPR of the OFDM signal, and at the same time, the original signal can be recovered at the receiving end without sideband side information, which saves bandwidth and effectively improves the efficiency of spectrum utilization.
附图说明Description of drawings
图1为PTS-OFDM的系统框图。Fig. 1 is a system block diagram of PTS-OFDM.
图2为自相关匹配-PTS系统框图。Figure 2 is a block diagram of the autocorrelation matching-PTS system.
具体实施方式Detailed ways
下面结合附图来说明本发明的具体实施方式:The specific embodiment of the present invention is described below in conjunction with accompanying drawing:
一个典型的OFDM信号可以表示如下:A typical OFDM signal can be represented as follows:
其中,N为OFDM系统中子载波的个数,X(n)为第n个子载波上传输的经过基带调制的频域数据,fn为第n个子载波的频率,T为一个OFDM符号的周期。 Among them, N is the number of subcarriers in the OFDM system, X(n) is the baseband modulated frequency domain data transmitted on the nth subcarrier, f n is the frequency of the nth subcarrier, and T is the period of an OFDM symbol .
信号的PAPR定义为信号的瞬时峰值功率和平均功率的比值:The PAPR of a signal is defined as the ratio of the instantaneous peak power to the average power of the signal:
以dB为单位时改写如下:When expressed in dB, rewrite as follows:
其中,|x(t)|2表示信号的瞬时功率,max[·]表示求最大值,E[·]表示求平均值。 Among them, |x(t)| 2 represents the instantaneous power of the signal, max[·] represents the maximum value, and E[·] represents the average value.
习惯上使用互补累积分布函数(Complementary Cumulative Distribution Function,CCDF)衡量OFDM系统中的PAPR分布状况,即所有PAPR采样值中大于阈值的那部分采样值出现的概率之和:P{PAPR>z}=1-P{PAPR≤z}=1-(1-e-z)N,其中,z表示PAPR的一个阈值。可以看出,子载波数目N越大,P(PAPR>z)就越大。It is customary to use the complementary cumulative distribution function (Complementary Cumulative Distribution Function, CCDF) to measure the PAPR distribution in the OFDM system, that is, the sum of the probability of occurrence of the part of the sampling values greater than the threshold in all PAPR sampling values: P{PAPR>z}= 1-P{PAPR≤z}=1-(1-e -z ) N , where z represents a threshold of PAPR. It can be seen that the larger the number N of subcarriers is, the larger P(PAPR>z) will be.
传统的PTS技术如图1所示,一个OFDM数据中的N个子载波被划分为V个子块X(m),m=1,2,…,V。划分规则如下;第一,每个子块向量长度相等;第二,对于每一个子块,没有划分到本块中的原OFDM符号信息的位置补充0。每个子块包含有N/V个X中不同频点的数据。The traditional PTS technology is shown in Fig. 1, N sub-carriers in one OFDM data are divided into V sub-blocks X (m) , m=1,2,...,V. The division rules are as follows; first, the vector length of each sub-block is equal; second, for each sub-block, the position of the original OFDM symbol information that is not divided into this block is supplemented with 0. Each sub-block contains data of N/V different frequency points in X.
在传统的PTS方法中,X表示为向量形式为X=[X(0),X(1),…,X(N-1)],X可根据随机、相邻、交织三种划分规则被分成V个子数据块,将每个子块表示为X(m),m=1,2,…,V,则X可以表示为:然后每个子块前乘以合适的相位旋转因子,并选择出一组使得发射信号具有最小峰均功率比的相位因子其中,b(m),m=1,2,…,V是相位旋转因子,b(m)=exp(jφ(m))m=1,2,…,V。特别地,当旋转相位因子限制为b(m)∈(+1,-1),m=1,2,…,V时,可以得到U=2V-1个备选传输序列,且需要传输的边带副信息的比数特为log2U=log22V-1=V-1。In the traditional PTS method, X is expressed as a vector in the form of X=[X(0),X(1),…,X(N-1)], and X can be divided according to three division rules: random, adjacent and interleaved. Divide into V sub-blocks, express each sub-block as X (m) , m=1,2,...,V, then X can be expressed as: Then each sub-block is multiplied by an appropriate phase rotation factor, and a set of phase factors that make the transmitted signal have the minimum peak-to-average power ratio is selected Wherein, b(m), m=1, 2,..., V are phase rotation factors, b(m)=exp(jφ(m))m=1, 2,...,V. In particular, when the rotation phase factor is limited to b(m)∈(+1,-1), m=1,2,...,V, U=2 V-1 alternative transmission sequences can be obtained, and the transmission The bits of the sideband side information are log 2 U = log 2 2 V-1 = V-1.
时域信号由频域信号经过快速傅立叶反变换(Inverse Fast Fourier Transform,IFFT)得到:
本发明提出的自相关匹配-PTS方法的系统框图如图2所示。假设经过串并变换和基带调制后的频域信号为X,按照传统PTS的划分规则将其划分为V个子块,X(m),m=1,2,…,V。然后将所有子块通过自相关系数判别器。自相关系数判别器根据每一个子块中第一个数据点实部的正负确定该子块的自相关系数,若其实部为正,则该子块的自相关系数判定为α=k,(k>0),否则,该子块的自相关系数判别为α=-k,(k>0)。The system block diagram of the autocorrelation matching-PTS method proposed by the present invention is shown in FIG. 2 . Assuming that the frequency domain signal after serial-to-parallel conversion and baseband modulation is X, it is divided into V sub-blocks according to the traditional PTS division rule, X (m) , m=1,2,...,V. All sub-blocks are then passed through an autocorrelation coefficient discriminator. The autocorrelation coefficient discriminator determines the autocorrelation coefficient of the sub-block according to the positive or negative of the real part of the first data point in each sub-block, if the real part is positive, then the autocorrelation coefficient of the sub-block is determined as α=k, (k>0), otherwise, the autocorrelation coefficient of the sub-block is judged as α=-k, (k>0).
本发明中所用的自相关信号发生器的传输函数为:G(z)=1+α*z-1,其中,z-1是向后转移操作,如z-1s(t)=s(t-1)。将所有子块和自相关系数判别器所判断出的相关系数一起通过自相关信号发生器,得到自相关的频域子块信号。然后我们用传统PTS方法分块后的后续处理对自相关的频域子块信号进行处理。首先,通过IFFT变换将频域自相关子块信号变换到时域,然后每一子块分别乘以相位旋转因子。此时我们限定b(m)∈(+1,-1),m=1,2,…,V,于是根据对传统PTS方法的分析,我们可以得到U=2V-1个备选传输信号。依据|x(t)|2表示信号的瞬时功率,max[·]表示求最大值,E[·]表示求平均值,信号的PAPR定义为信号的瞬时峰值功率和平均功率的比值:The transfer function of the autocorrelation signal generator used among the present invention is: G(z)=1+α * z -1 , wherein, z -1 is the backward transfer operation, as z -1 s(t)=s( t-1). All the sub-blocks and the correlation coefficients judged by the auto-correlation coefficient discriminator pass through the auto-correlation signal generator to obtain auto-correlation frequency-domain sub-block signals. Then we use the traditional PTS method to process the autocorrelated frequency-domain sub-block signal in the subsequent processing after block. First, the frequency-domain autocorrelation sub-block signals are transformed into the time domain by IFFT transformation, and then each sub-block is multiplied by the phase rotation factor. At this time, we limit b(m)∈(+1,-1), m=1,2,...,V, so according to the analysis of the traditional PTS method, we can get U=2 V-1 alternative transmission signals . in accordance with |x(t)| 2 represents the instantaneous power of the signal, max[ ] represents the maximum value, E[ ] represents the average value, and the PAPR of the signal is defined as the ratio of the instantaneous peak power to the average power of the signal:
以dB为单位时改写如下:When expressed in dB, rewrite as follows:
分别计算每个备选传输信号的PAPR,并选择其中PAPR最小的信号用于传输。我们已经将旋转相位序列的信息隐式地植入到信号的自相关性当中,故不需要传输边带副信息,节省了带宽,提高了频谱利用效率。Calculate the PAPR of each candidate transmission signal separately, and select the signal with the smallest PAPR for transmission. We have embedded the information of the rotating phase sequence into the autocorrelation of the signal implicitly, so there is no need to transmit sideband side information, which saves bandwidth and improves spectrum utilization efficiency.
假设在接收端接收到的信号为y,其可以表示为接收信号经过FFT操作之后,变换成频域信号。Suppose the signal received at the receiver is y, which can be expressed as After the received signal undergoes FFT operation, it is transformed into a frequency domain signal.
按照与发送端相同的分块方式将接收信号划分为V个子块将每个子块表示为Y(m),m=1,2,…,V则Y可以表示为:然后,将每一个子块通过自相关信号匹配器,对每一个子块信号分别做自相关运算,以恢复出自相关系数和每一个子块所乘的旋转相位。自相关系数的恢复规则如下:若一个子块的自相关值为正,则该子块的自相关系数恢复为k(k>0);若其自相关值为负,则该子块的自相关值恢复为-k(k>0)。然后将恢复出的每一个子块信号Yi,1≤i≤V和恢复出的其对应的自相关系数1≤i≤V一并通过自相关信号逆变换发生器,可以的到消除自相关性之后的信号1≤i≤V。Divide the received signal into V sub-blocks according to the same block method as that at the sending end. Each sub-block is expressed as Y (m) , m=1, 2, ..., V, then Y can be expressed as: Then, each sub-block is passed through an auto-correlation signal matcher, and an auto-correlation operation is performed on each sub-block signal, so as to restore the auto-correlation coefficient and the rotation phase multiplied by each sub-block. The restoration rules of the autocorrelation coefficient are as follows: if the autocorrelation value of a sub-block is positive, the autocorrelation coefficient of the sub-block is restored to k (k>0); if the autocorrelation value is negative, the autocorrelation coefficient of the sub-block is The correlation value is restored to -k (k>0). Then the recovered sub-block signal Y i , 1≤i≤V and the recovered corresponding autocorrelation coefficient 1≤i≤V and through the autocorrelation signal inverse transformation generator, the signal after eliminating the autocorrelation can be obtained 1≤i≤V.
紧接着,消除了自相关性之后的各个子块信号1≤i≤V和其对应的自相关系数1≤i≤V同时通过旋转相位判别器。每一个子块对应的旋转相位判别规则如下:将每一个子块的自相关系数1≤i≤V与该子块信号1≤i≤V中的第一个数据点的实部相乘,若乘积大于0,则该子块对应的旋转相位序列1≤i≤V为+1;否则1≤i≤V为-1。Immediately afterwards, each sub-block signal after eliminating the autocorrelation 1≤i≤V and its corresponding autocorrelation coefficient 1≤i≤V while passing through the rotating phase discriminator. The rotation phase discrimination rule corresponding to each sub-block is as follows: the autocorrelation coefficient of each sub-block 1≤i≤V and the sub-block signal Multiply the real part of the first data point in 1≤i≤V, if the product is greater than 0, the rotation phase sequence corresponding to the sub-block 1≤i≤V is +1; otherwise 1≤i≤V is -1.
之后,将消除了自相关性的各个子块信号1≤i≤V与其对应的旋转相位1≤i≤V相乘,可以得到最终恢复的各子块信号,然后将各个子块信号相加,就得到最终恢复的数据块Y*,即 再经过基带解调和并串变换,就可以得到最终恢复出的信号。Afterwards, each sub-block signal with autocorrelation eliminated 1≤i≤V and its corresponding rotation phase 1≤i≤V multiplied to obtain the final restored sub-block signals, and then add the sub-block signals to obtain the final restored data block Y * , namely After baseband demodulation and parallel-to-serial conversion, the final recovered signal can be obtained.
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