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CN110912849B - A multi-carrier method and system based on cyclic prefix - Google Patents

A multi-carrier method and system based on cyclic prefix Download PDF

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CN110912849B
CN110912849B CN201911147888.0A CN201911147888A CN110912849B CN 110912849 B CN110912849 B CN 110912849B CN 201911147888 A CN201911147888 A CN 201911147888A CN 110912849 B CN110912849 B CN 110912849B
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江涛
孔德进
郑行
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Huazhong University of Science and Technology
Wuhan Textile University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2602Signal structure
    • H04L27/261Details of reference signals
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2626Arrangements specific to the transmitter only
    • H04L27/2627Modulators
    • H04L27/2628Inverse Fourier transform modulators, e.g. inverse fast Fourier transform [IFFT] or inverse discrete Fourier transform [IDFT] modulators
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2647Arrangements specific to the receiver only
    • H04L27/2649Demodulators
    • H04L27/265Fourier transform demodulators, e.g. fast Fourier transform [FFT] or discrete Fourier transform [DFT] demodulators

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Abstract

本发明公开了一种基于循环前缀的多载波方法及系统,属于通信技术领域,包括:同步对各正交支路中所有子载波发送符号进行离散傅里叶反变换,获取时域发送信号;同步对各正交支路上传输的时域发送信号均依次延迟rT,并乘以对应相位因子ej2πrp/R,获取各正交支路上的时域正交信号;同步对各正交支路上获取的时域正交信号叠加后进行循环前缀处理,获取发送端的发射信号;其中,r为整数集合[0,K];T为符号周期;K大于等于正交支路的个数R;p为正交支路的序号。本发明提供的正交支路传输的每个发送符号重复延迟K次,只需在每隔KM个采样点插入一段CP,且正交交支路的最大个数不大于预设的延迟系数,因此,本发明在降低多载波通信系统CP开销的同时并没有增加系统误码率。

Figure 201911147888

The invention discloses a cyclic prefix-based multi-carrier method and system, belonging to the technical field of communications, comprising: synchronously performing inverse discrete Fourier transform on all sub-carrier transmission symbols in each orthogonal branch to obtain time-domain transmission signals; The time-domain transmission signals transmitted on each quadrature branch are sequentially delayed by rT for synchronization, and are multiplied by the corresponding phase factor e j2πrp/R to obtain the time-domain quadrature signal on each quadrature branch; After superimposing the time-domain orthogonal signals of , perform cyclic prefix processing to obtain the transmitted signal of the transmitting end; where r is the set of integers [0, K]; T is the symbol period; K is greater than or equal to the number R of orthogonal branches; p is the The sequence number of the orthogonal branch. Each transmission symbol transmitted by the orthogonal branch provided by the present invention is repeatedly delayed K times, only a section of CP needs to be inserted at every KM sampling point, and the maximum number of orthogonal branches is not greater than the preset delay coefficient, Therefore, the present invention does not increase the system bit error rate while reducing the CP overhead of the multi-carrier communication system.

Figure 201911147888

Description

一种基于循环前缀的多载波方法及系统A multi-carrier method and system based on cyclic prefix

技术领域technical field

本发明属于通信技术领域,更具体地,涉及一种基于循环前缀的多载波方法及系统。The present invention belongs to the field of communication technologies, and more particularly, to a cyclic prefix-based multi-carrier method and system.

背景技术Background technique

多载波通信技术,尤其是正交频分复用(OFDM)通信技术已经被广泛应用于无线通信中。OFDM技术的一个显著缺点是每一个OFDM符号都需要插入一个循环前缀(CP),以能够有效抵抗多径衰落信道的影响,然而每个OFDM符号中CP的插入,显著降低了多载波通信系统的能量效率和频谱效率。目前,降低多载波通信的CP开销的方法主要包括两类:Multi-carrier communication technology, especially Orthogonal Frequency Division Multiplexing (OFDM) communication technology, has been widely used in wireless communication. A significant disadvantage of OFDM technology is that each OFDM symbol needs to insert a cyclic prefix (CP) to effectively resist the influence of multipath fading channels. However, the insertion of CP in each OFDM symbol significantly reduces the multi-carrier communication system. energy efficiency and spectral efficiency. At present, the methods for reducing the CP overhead of multi-carrier communication mainly include two categories:

(1)迭代法,“P.Torres and A.Gusmao,“Iterative receiver technique forreduced-CP,reduced-PMEPR OFDM transmission,”IEEE Vehicular TechnologyConference,pp.1981-1985,May 2007,”公开直接降低CP的长度会引入符号间干扰和载波间干扰。此方法不仅复杂度较高,而且不能完全消除载波间干扰和符号间干扰,在采用高码率的调试方式时,会导致多载波通信系统误码率增加。(1) Iterative method, "P. Torres and A. Gusmao, "Iterative receiver technique for reduced-CP, reduced-PMEPR OFDM transmission," IEEE Vehicular Technology Conference, pp. 1981-1985, May 2007," discloses directly reducing the length of CP Inter-symbol interference and inter-carrier interference are introduced. This method is not only complex, but also cannot completely eliminate inter-carrier interference and inter-symbol interference. When a high-bit-rate debugging method is adopted, the bit error rate of a multi-carrier communication system will increase.

(2)滤波器法,“P.Siohan,C.Siclet and N.Lacaille,“Analysis and design ofOQAM-OFDM systems based on filterbank theory,”IEEE Transactions on SignalProcessing,vol.50,no.5,pp.1170-1183,May.2002”公开多载波通信系统每个子载波的发送符号都经过一个具有时频二维聚焦性的原型滤波器,由于非矩形窗滤波器的采用,该多载波通信系统不能插入循环前缀。然而,该多载波通信系统不能有效对抗多径衰落信道,在多载波通信系统带宽较大的情况下,多载波通信系统干扰很大,误码率很差。(2) Filter method, "P.Siohan,C.Siclet and N.Lacaille,"Analysis and design of OQAM-OFDM systems based on filterbank theory,"IEEE Transactions on SignalProcessing,vol.50,no.5,pp.1170 -1183, May.2002" discloses that the transmitted symbol of each sub-carrier of the multi-carrier communication system passes through a prototype filter with time-frequency two-dimensional focusing. Due to the use of a non-rectangular window filter, the multi-carrier communication system cannot insert a loop prefix. However, the multi-carrier communication system cannot effectively fight against multi-path fading channels. In the case of a large bandwidth of the multi-carrier communication system, the multi-carrier communication system has great interference and poor bit error rate.

(3)预编码OFDM,“X.-G.Xia,“Precoded and vector OFDM robust to channelspectral nulls and with reduced cyclic prefix length in single transmitantenna systems,”IEEE Transactions on Communications,vol.49,no.8,pp.1363-1374,Aug.2001”公开多载波通信系统将多个符号进行预编码,预编码矩阵为单位矩阵,并截取尾部一段信号构成循环前缀经发射天线发送,在接收端可以通过信道对角化处理简化接收机复杂度。该多载波通信系统能够大大降低OFDM技术的CP开销,且不影响误码率性能。然而,在多载波通信系统接收端,虽然信道对角化处理能够降低复杂度,但是接收机的复杂度依然比较大。(3) Precoded OFDM, "X.-G.Xia, "Precoded and vector OFDM robust to channelspectral nulls and with reduced cyclic prefix length in single transmit antenna systems," IEEE Transactions on Communications, vol.49, no.8, pp .1363-1374, Aug.2001" discloses that the multi-carrier communication system precodes multiple symbols, the precoding matrix is a unit matrix, and intercepts the tail section of the signal to form a cyclic prefix and sends it through the transmitting antenna. At the receiving end, it can pass the channel diagonal Processing simplifies receiver complexity. The multi-carrier communication system can greatly reduce the CP overhead of the OFDM technology without affecting the bit error rate performance. However, at the receiving end of the multi-carrier communication system, although the channel diagonalization process can reduce the complexity, the complexity of the receiver is still relatively large.

综上所述,当前多载波系统降低CP开销方法的缺点包括:多载波通信系统误码率增加或复杂度大。To sum up, the disadvantages of the current method for reducing the CP overhead in the multi-carrier system include: increased bit error rate or high complexity in the multi-carrier communication system.

发明内容SUMMARY OF THE INVENTION

针对现有技术的缺陷,本发明的目的在于提供一种基于循环前缀的多载波方法及系统,旨在解决现有的降低多载波通信系统CP开销的方法存在系统误码率增加的问题。In view of the defects of the prior art, the purpose of the present invention is to provide a multi-carrier method and system based on a cyclic prefix, aiming to solve the problem of increased system bit error rate in the existing method for reducing CP overhead of a multi-carrier communication system.

为实现上述目的,一方面,本发明提供了一种基于循环前缀的多载波方法,包括:In order to achieve the above object, on the one hand, the present invention provides a multi-carrier method based on a cyclic prefix, including:

(1)同步对各正交支路中所有子载波发送符号进行离散傅里叶反变换,获取时域发送信号;(1) synchronously perform inverse discrete Fourier transform on all sub-carrier transmission symbols in each orthogonal branch to obtain time-domain transmission signals;

(2)同步对各正交支路上传输的时域发送信号均依次延迟rT,并乘以对应相位因子ej2πrp/R,获取各正交支路上的时域正交信号;(2) Synchronously delay the time-domain transmission signals transmitted on each quadrature branch by rT in turn, and multiply by the corresponding phase factor e j2πrp/R to obtain the time-domain quadrature signals on each quadrature branch;

(3)同步对各正交支路上获取的时域正交信号叠加后进行循环前缀处理,获取发送端的发射信号;(3) Synchronously perform cyclic prefix processing on the time-domain quadrature signals acquired on each quadrature branch after superposition, and acquire the transmit signal of the transmitter;

其中,r为整数集合[0,K];K为预设的延迟系数;T为符号周期;K大于等于正交支路的个数R;p为正交支路的序号。Wherein, r is a set of integers [0, K]; K is a preset delay coefficient; T is a symbol period; K is greater than or equal to the number R of the orthogonal branches; p is the serial number of the orthogonal branches.

优选地,预设的延迟系数K等于正交支路的个数R;Preferably, the preset delay coefficient K is equal to the number R of orthogonal branches;

优选地,发射信号在接收端转换为接收信号,且接收信号的解调过程为:Preferably, the transmitted signal is converted into a received signal at the receiving end, and the demodulation process of the received signal is:

a.去除接收信号中的循环前缀;a. Remove the cyclic prefix in the received signal;

b.对去除循环前缀的接收信号进行离散傅里叶变换,获取去除循环前缀的频域接收信号;b. Perform discrete Fourier transform on the received signal with the cyclic prefix removed to obtain the received signal in the frequency domain with the cyclic prefix removed;

c.对去除循环前缀的频域接收信号信道均衡;c. Equalize the received signal channel in the frequency domain with the cyclic prefix removed;

d.判断信道均衡后正交支路的序号是否为0,若是,则均衡后的第mR位置处的均衡信号为第0个正交支路的发送符号;否则,转至步骤e;d. Judge whether the sequence number of the orthogonal branch after channel equalization is 0, and if so, the equalized signal at the mRth position after equalization is the transmission symbol of the 0th orthogonal branch; otherwise, go to step e;

e.提取序号为mR+p处的均衡信号为第p个正交支路的发送信号;e. Extract the equalized signal at mR+p as the transmission signal of the p-th quadrature branch;

f.将获取的发送信号进行离散傅里叶反变换,获取时域发送信号;f. Perform inverse discrete Fourier transform on the acquired transmitted signal to obtain the transmitted signal in the time domain;

g.对时域发送信号以一个符号周期为单位分段;g. The time domain transmission signal is segmented in units of one symbol period;

h.分段后的发送信号均乘以相位因子ej2πrp/Rh. The transmitted signals after the segmentation are all multiplied by the phase factor e j2πrp/R ;

i.对乘以相位因子ej2πrp/R的发送信号进行离散傅里叶变换,获取各正交支路的符号解调。i. Perform discrete Fourier transform on the transmitted signal multiplied by the phase factor e j2πrp/R to obtain symbol demodulation of each quadrature branch.

另一方面,本发明提供了一种基于循环前缀的多载波系统,包括:正交支路、载波加载器、第一傅里叶反变换器、信号延迟器和循环前缀处理器;In another aspect, the present invention provides a cyclic prefix-based multi-carrier system, comprising: an orthogonal branch, a carrier loader, a first inverse Fourier transform, a signal delay, and a cyclic prefix processor;

正交支路的输入端连接载波加载器;正交支路的输出端顺次与第一傅里叶反变换器、信号延迟器和循环前缀处理器连接;The input end of the quadrature branch is connected to the carrier loader; the output end of the quadrature branch is connected to the first inverse Fourier transformer, the signal delay device and the cyclic prefix processor in sequence;

正交支路用于同步传输发送符号;载波加载器用于将发送符号加载在正交支路上;第一傅里叶反变换器用于将各正交支路中传输的发送符号进行离散傅里叶反变换,获取时域发送信号;信号延迟器用于将时域发送信号依次延迟rT,并乘以对应相位因子ej2 πrp/R,获取各正交支路上的时域正交信号;循环前缀处理器用于对各正交支路上获取的时域正交信号叠加后循环前缀处理,获取发射信号;The orthogonal branch is used for synchronously transmitting the transmitted symbols; the carrier loader is used to load the transmitted symbols on the orthogonal branch; the first inverse Fourier transform is used to perform discrete Fourier transformation on the transmitted symbols transmitted in each orthogonal branch Inverse transform to obtain the time-domain transmission signal; the signal delay device is used to sequentially delay the time-domain transmission signal by rT, and multiply it by the corresponding phase factor e j2 πrp/R to obtain the time-domain quadrature signal on each quadrature branch; cyclic prefix processing The device is used to process the cyclic prefix after superposition of the time-domain quadrature signals obtained on each quadrature branch to obtain the transmitted signal;

其中,r为整数集合[0,K];K为预设的延迟系数;T为符号周期;K大于等于正交支路的个数R;p为正交支路的序号。Wherein, r is a set of integers [0, K]; K is a preset delay coefficient; T is a symbol period; K is greater than or equal to the number R of the orthogonal branches; p is the serial number of the orthogonal branches.

优选地,K等于正交支路的个数R;Preferably, K is equal to the number R of orthogonal branches;

优选地,基于循环前缀的多载波系统还包括:顺次连接的接收器、去循环前缀处理器、第一傅里叶变换器、信道均衡器、提取模块、第二傅里叶反变换器、相位调制器、第二傅里叶变换器;Preferably, the cyclic prefix-based multi-carrier system further comprises: a receiver connected in sequence, a de-cyclic prefix processor, a first Fourier transformer, a channel equalizer, an extraction module, a second inverse Fourier transformer, Phase modulator, second Fourier transformer;

去循环前缀处理器用于去除发射信号中的循环前缀;第一傅里叶变换器用于对去除循环前缀的发射信号进行离散傅里叶变换,将其从时域信号转换为频域信号;信道均衡器用于对去除循环前缀的频域发射信号信道均衡;提取模块用于判断正交支路的序号是否为0,若是,将提取均衡后的第mR位置处的均衡信号为第0个正交支路的发送符号;否则,提取序号为mR+p处的均衡信号为第p个正交支路的发送信号;第二傅里叶反变换器用于将第p个正交支路的发送信号进行离散傅里叶反变换,获取时域发送信号;相位调制器用于将时域发送信号以一个符号周期为单位分段后乘以相位因子ej2πrp/R;第二傅里叶变换器用于对乘以相位因子ej2πrp/R的发送信号进行离散傅里叶变换,获取各正交支路的符号解调。The cyclic prefix removal processor is used to remove the cyclic prefix in the transmitted signal; the first Fourier transformer is used to perform discrete Fourier transform on the cyclic prefix-removed transmitted signal, and convert it from a time domain signal to a frequency domain signal; channel equalization The device is used to equalize the frequency domain transmission signal channel with the cyclic prefix removed; the extraction module is used to determine whether the serial number of the quadrature branch is 0, and if so, the equalized signal at the mRth position after the extraction and equalization will be the 0th quadrature branch. Otherwise, the equalized signal at the position of the extraction sequence number mR+p is the transmitted signal of the p-th quadrature branch; the second inverse Fourier transform is used to convert the transmitted signal of the p-th quadrature branch. The inverse discrete Fourier transform is used to obtain the time-domain transmission signal; the phase modulator is used to segment the time-domain transmission signal in units of one symbol period and then multiply it by the phase factor e j2πrp/R ; The second Fourier transformer is used to multiply The discrete Fourier transform is performed on the transmitted signal with the phase factor e j2πrp/R , and the symbol demodulation of each quadrature branch is obtained.

通过本发明所构思的以上技术方案,与现有技术相比,能够取得以下有益效果:Through the above technical solutions conceived by the present invention, compared with the prior art, the following beneficial effects can be achieved:

(1)本发明提供的基于循环前缀的多载波方法及系统,其发送端具有多个正交支路,可以同时传输多个符号,正交支路的最大个数不大于预设的延迟系数K,获取重复符号,否则多载波通信系统易出现干扰,且该多载波系统中各正交支路的重复符号经过离散傅里叶变换后分别乘以相位因子,不同正交支路的相位因子是正交的以保证符号的无干扰传输,同时假设有R个正交支路,每个正交支路上包含M个子载波,传统的OFDM需每隔M个采样点插入一段CP,而本发明由于采用正交支路传输的每个发送符号重复延迟K次,只需每隔KM个采样点插入一段CP,因此,本发明在降低多载波通信系统CP开销的同时并没有增加系统误码率。(1) The multi-carrier method and system based on the cyclic prefix provided by the present invention, the transmitting end has multiple orthogonal branches, which can transmit multiple symbols at the same time, and the maximum number of orthogonal branches is not greater than the preset delay coefficient K, obtain repeated symbols, otherwise the multi-carrier communication system is prone to interference, and the repeated symbols of each orthogonal branch in the multi-carrier system are multiplied by the phase factor after discrete Fourier transform, and the phase factors of different orthogonal branches are It is orthogonal to ensure the interference-free transmission of symbols. At the same time, it is assumed that there are R orthogonal branches, and each orthogonal branch contains M subcarriers. The traditional OFDM needs to insert a CP every M sampling points, while the present invention Since each transmitted symbol transmitted by the orthogonal branch is repeatedly delayed K times, only a segment of CP needs to be inserted every KM sampling points. Therefore, the present invention does not increase the system bit error rate while reducing the CP overhead of the multi-carrier communication system. .

(2)本发明由于不同正交支路发送符号的接收信号在时域上是分开的,因此,为了恢复正交支路上的发送符号,需要进行信号提取,由于不同正交支路的信号在时间上是分离的,因此,不同正交支路的发送符号可以独立进行解调,而不用联合求解,降低了复杂度;在进行信号提取后,在进行DFT(离散傅里叶变换)、乘以相位因子以及IDFT(离散傅里叶反变换)可实现符号解调,由于IDFT可以由FFT实现,实现复杂度低,因此,该多载波系统的接收端具有较低的实现复杂度。(2) In the present invention, since the received signals of the transmitted symbols of different orthogonal branches are separated in the time domain, in order to recover the transmitted symbols on the orthogonal branches, signal extraction is required, because the signals of different orthogonal branches are in the It is separated in time, so the transmitted symbols of different orthogonal branches can be demodulated independently without joint solution, which reduces the complexity; after signal extraction, DFT (discrete Fourier transform), multiplication Symbol demodulation can be realized by using phase factor and IDFT (Inverse Discrete Fourier Transform). Since IDFT can be realized by FFT, the realization complexity is low. Therefore, the receiving end of the multi-carrier system has low realization complexity.

(3)本发明采用预设的延迟系数K等于正交支路的个数R,其主要原因为当预设的延迟系数K小于正交支路的个数R时,会导致多载波通信系统易出现干扰,无法对发送符号进行解调,当预设的延迟系数K大于正交支路的个数R时,将会带来时间上的浪费,使其系统的能量效率和频谱效率降低,因此,当预设的延迟系数K等于正交支路的个数R时,可确保不降低系统的能量效率和频谱效率外还能保证系统误码率的不增加。(3) The present invention adopts the preset delay coefficient K equal to the number R of orthogonal branches, the main reason is that when the preset delay coefficient K is less than the number R of orthogonal branches, it will cause a multi-carrier communication system Interference is prone to occur, and the transmitted symbols cannot be demodulated. When the preset delay coefficient K is greater than the number R of the orthogonal branches, it will cause a waste of time and reduce the energy efficiency and spectral efficiency of the system. Therefore, when the preset delay coefficient K is equal to the number R of orthogonal branches, it can ensure that the energy efficiency and spectral efficiency of the system are not reduced, and the bit error rate of the system is not increased.

附图说明Description of drawings

图1是实施例提供的基于循环前缀的多载波方法;1 is a multi-carrier method based on a cyclic prefix provided by an embodiment;

图2是实施例提供的基于图1的发射信号的解调过程示意图。FIG. 2 is a schematic diagram of a demodulation process based on the transmission signal of FIG. 1 provided by an embodiment.

具体实施方式Detailed ways

为了使本发明的目的、技术方案及优点更加清楚明白,以下结合附图及实施例,对本发明进行进一步详细说明。应当理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限定本发明。In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, but not to limit the present invention.

一方面,本发明提供了一种基于循环前缀的多载波方法,包括:In one aspect, the present invention provides a cyclic prefix-based multi-carrier method, including:

(1)同步对各正交支路中所有子载波发送符号进行离散傅里叶反变换,获取时域发送信号;(1) synchronously perform inverse discrete Fourier transform on all sub-carrier transmission symbols in each orthogonal branch to obtain time-domain transmission signals;

预设每个正交支路对应M个子载波,第m个子载波对各正交支路上加载发送符号xm,p,发送符号xm,p通过M点IDFT(离散傅里叶反变换)生成发送信号;其中,m为子载波序号;p为正交支路的序号;M、m和p为大于等于0的整数;It is preset that each orthogonal branch corresponds to M subcarriers, and the mth subcarrier is loaded with a transmission symbol x m,p on each orthogonal branch, and the transmission symbol x m,p is generated by M-point IDFT (Inverse Discrete Fourier Transform) Send signal; wherein, m is the subcarrier sequence number; p is the sequence number of the quadrature branch; M, m and p are integers greater than or equal to 0;

(2)同步对各正交支路上传输的时域发送信号均依次延迟rT,并乘以对应相位因子ej2πrp/R,获取各正交支路上的时域正交信号;(2) Synchronously delay the time-domain transmission signals transmitted on each quadrature branch by rT in turn, and multiply by the corresponding phase factor e j2πrp/R to obtain the time-domain quadrature signals on each quadrature branch;

对某一正交支路上的一个时域发送信号依次经过0,MTs,2MTs,......,KMTs延迟,并对应乘以相位因子ej2πrp/R,其中,T=MTs,Ts为采样间隔,r为整数集合[0,K];K为预设的延迟系数;T为符号周期;K大于等于正交支路的个数R;A time-domain transmission signal on a certain quadrature branch is delayed by 0, MT s , 2MT s , ..., KMT s in turn, and is multiplied by the phase factor e j2πrp/R , where T=MT s , T s is the sampling interval, r is the integer set [0, K]; K is the preset delay coefficient; T is the symbol period; K is greater than or equal to the number R of orthogonal branches;

(3)同步对各正交支路上获取的时域正交信号叠加后进行循环前缀处理,获取发射信号。(3) Synchronization The time-domain quadrature signals obtained on each quadrature branch are superimposed, and then cyclic prefix processing is performed to obtain the transmitted signal.

对延迟后的时域正交信号叠加形成扩展时域正交信号,截取扩展时域正交信号尾部一段信号插入扩展时域正交信号的起始位置形成循环前缀,获取发射信号经发射天线发送。The delayed time-domain quadrature signal is superimposed to form an extended time-domain orthogonal signal, the tail of the extended time-domain orthogonal signal is intercepted and inserted into the starting position of the extended time-domain orthogonal signal to form a cyclic prefix, and the transmitted signal is obtained and sent through the transmitting antenna .

优选地,预设的延迟系数K等于正交支路的个数R;Preferably, the preset delay coefficient K is equal to the number R of orthogonal branches;

优选地,发射信号在接收端转换为接收信号,且接收信号的解调过程为:Preferably, the transmitted signal is converted into a received signal at the receiving end, and the demodulation process of the received signal is:

a.去除接收信号中的循环前缀;a. Remove the cyclic prefix in the received signal;

b.对去除循环前缀的接收信号进行KM点离散傅里叶变换,获取去除循环前缀的频域接收信号;b. Perform KM point discrete Fourier transform on the received signal with the cyclic prefix removed, and obtain the received signal in the frequency domain with the cyclic prefix removed;

c.对去除循环前缀的频域发射信号信道均衡;c. Equalize the frequency domain transmission signal channel with the cyclic prefix removed;

d.判断信道均衡后正交支路的序号是否为0,若是则均衡后的第mR位置处的均衡信号为第0个正交支路的发送符号;否则,转至步骤e;d. Judge whether the sequence number of the orthogonal branch after channel equalization is 0, and if so, the equalized signal at the mRth position after equalization is the transmission symbol of the 0th orthogonal branch; otherwise, go to step e;

e.提取序号为mR+p处的均衡信号为第p个正交支路的发送信号;e. Extract the equalized signal at mR+p as the transmission signal of the p-th quadrature branch;

f.将步骤e获取的发送信号进行离散傅里叶反变换,获取时域发送信号;f. Perform inverse discrete Fourier transform on the transmission signal obtained in step e to obtain the time-domain transmission signal;

g.对时域发送信号以一个符号周期为单位分段;g. The time domain transmission signal is segmented in units of one symbol period;

h.分段后的发送信号均乘以相位因子ej2πrp/Rh. The transmitted signals after the segmentation are all multiplied by the phase factor e j2πrp/R ;

i.对乘以相位因子ej2πrp/R的发送信号进行离散傅里叶变换,获取各正交支路的符号解调。i. Perform discrete Fourier transform on the transmitted signal multiplied by the phase factor e j2πrp/R to obtain symbol demodulation of each quadrature branch.

另一方面,本发明提供了一种基于循环前缀的多载波系统,包括:正交支路、载波加载器、第一傅里叶反变换器、信号延迟器和循环前缀处理器;In another aspect, the present invention provides a cyclic prefix-based multi-carrier system, comprising: an orthogonal branch, a carrier loader, a first inverse Fourier transform, a signal delay, and a cyclic prefix processor;

各正交支路连接载波加载器;正交支路的输出端顺次与第一傅里叶反变换器、信号延迟器和循环前缀处理器连接;Each quadrature branch is connected to the carrier loader; the output end of the quadrature branch is connected to the first inverse Fourier transformer, the signal delayer and the cyclic prefix processor in sequence;

正交支路用于同步传输发送符号;载波加载器用于将发送符号加载在正交支路上;第一傅里叶反变换器用于将各支路中传输的发送符号进行离散傅里叶反变换,获取时域发送信号;信号延迟器用于将时域发送信号依次延迟rT,并乘以对应相位因子ej2πrp/R,获取各正交支路上的时域正交信号;循环前缀处理器用于对各正交支路上获取的时域正交信号叠加后循环前缀处理,获取发射信号;The quadrature branch is used to transmit the transmitted symbols synchronously; the carrier loader is used to load the transmitted symbols on the orthogonal branch; the first inverse Fourier transform is used to perform inverse discrete Fourier transform on the transmitted symbols transmitted in each branch , to obtain the time-domain transmission signal; the signal delayer is used to sequentially delay the time-domain transmission signal by rT, and multiply it by the corresponding phase factor e j2πrp/R to obtain the time-domain quadrature signal on each quadrature branch; the cyclic prefix processor is used to The time-domain quadrature signals obtained on each quadrature branch are superimposed and processed with a cyclic prefix to obtain the transmitted signal;

其中,r为整数集合[0,K];K为预设的延迟系数;T为符号周期;K大于等于正交支路的个数R;p为正交支路的序号。Wherein, r is a set of integers [0, K]; K is a preset delay coefficient; T is a symbol period; K is greater than or equal to the number R of the orthogonal branches; p is the serial number of the orthogonal branches.

优选地,K等于正交支路的个数R;Preferably, K is equal to the number R of orthogonal branches;

优选地,基于循环前缀的多载波系统还包括:顺次连接的接收器、去循环前缀处理器、第一傅里叶变换器、信道均衡器、提取模块、第二傅里叶反变换器、相位调制器、第二傅里叶变换器;Preferably, the cyclic prefix-based multi-carrier system further comprises: a receiver connected in sequence, a de-cyclic prefix processor, a first Fourier transformer, a channel equalizer, an extraction module, a second inverse Fourier transformer, Phase modulator, second Fourier transformer;

接收器用于接收发射信号,并将其转换为接收信号;去循环前缀处理器用于去除接收信号中的循环前缀;第一傅里叶变换器用于对去除循环前缀的接收信号进行离散傅里叶变换,将其从时域信号转换为频域信号;信道均衡器用于对去除循环前缀的频域接收信号信道均衡;提取模块用于判断正交支路的序号是否为0,若是,将提取均衡后的第mR位置处的均衡信号为第0个正交支路的发送符号;否则,提取序号为mR+p处的均衡信号为第p个正交支路的发送信号;第二傅里叶反变换器用于将第p个正交支路的发送信号进行离散傅里叶反变换,获取时域发送信号;相位调制器用于将时域发送信号以一个符号周期为单位分段后乘以相位因子ej2πrp/R;第二傅里叶变换器用于对乘以相位因子ej2πrp/R的发送信号进行离散傅里叶变换,获取各正交支路的符号解调。The receiver is used to receive the transmitted signal and convert it into a received signal; the de-cyclic prefix processor is used to remove the cyclic prefix in the received signal; the first Fourier transformer is used to perform discrete Fourier transform on the received signal with the cyclic prefix removed , convert it from the time domain signal to the frequency domain signal; the channel equalizer is used to equalize the received signal channel in the frequency domain with the cyclic prefix removed; the extraction module is used to judge whether the serial number of the quadrature branch is 0, if so, it will extract the equalized The equalized signal at the mRth position is the transmitted symbol of the 0th quadrature branch; otherwise, the equalized signal at the extraction sequence number mR+p is the transmitted signal of the pth quadrature branch; the second Fourier inverse The transformer is used to perform inverse discrete Fourier transform on the transmitted signal of the p-th quadrature branch to obtain the transmitted signal in the time domain; the phase modulator is used to segment the transmitted signal in the time domain by a symbol period and multiply it by the phase factor e j2πrp/R ; the second Fourier transformer is used to perform discrete Fourier transform on the transmitted signal multiplied by the phase factor e j2πrp/R to obtain symbol demodulation of each quadrature branch.

实施例Example

实施例是提供一个有2048个子载波的多载波系统,其中符号映射方式采用4QAM映射方式,每个符号最大重复次数R=2,最大正交支路的个数为2。令发送符号为am,p,其中0≤m<2048为子载波的序号,0≤p<2为正交支路的序号。The embodiment provides a multi-carrier system with 2048 subcarriers, wherein the symbol mapping method adopts 4QAM mapping method, the maximum repetition times of each symbol is R=2, and the maximum number of orthogonal branches is 2. Let the transmitted symbol be am ,p , where 0≤m<2048 is the sequence number of the subcarrier, and 0≤p<2 is the sequence number of the orthogonal branch.

如图1所示,实施例提供了基于循环前缀的多载波方法,具体如下:As shown in FIG. 1, the embodiment provides a multi-carrier method based on a cyclic prefix, as follows:

(1)发送端对每一个正交支路,频域符号xm,p经过2048点的IDFT操作生成时域信号

Figure BDA0002282722150000081
所述n、m和p为整数序号且0≤n<2048和0≤p<2;(1) For each quadrature branch at the transmitting end, the frequency domain symbol x m,p generates a time domain signal through the IDFT operation of 2048 points
Figure BDA0002282722150000081
The n, m and p are integer serial numbers and 0≤n<2048 and 0≤p<2;

(2)对每个正交支路,分别对IDFT后产生的时域信号sp(n)延迟rT,r∈[0,1]的整数集合,T为符号周期;(2) For each quadrature branch, delay the time domain signal sp (n) generated after IDFT by rT, an integer set of r∈ [0,1], where T is the symbol period;

(3)分别对步骤(2)产生的信号乘以相应的相位因子,可以表述为

Figure BDA0002282722150000082
(3) Multiply the signal generated in step (2) by the corresponding phase factor, which can be expressed as
Figure BDA0002282722150000082

(4)截取信号

Figure BDA0002282722150000083
尾部的一段信号,并插入起始位置形成循环前缀,最终经发射天线发送;(4) Intercept the signal
Figure BDA0002282722150000083
A segment of the signal at the tail is inserted into the starting position to form a cyclic prefix, and finally sent through the transmitting antenna;

如图2所示,实施例提供了接收信号的解调过程,具体如下:As shown in FIG. 2, the embodiment provides a demodulation process of the received signal, which is as follows:

(5)在接收端,将接收到的信号截去前部的循环前缀;(5) At the receiving end, the cyclic prefix of the front part is truncated from the received signal;

(6)对步骤(5)得到的信号进行DFT,DFT的长度为2倍的2048,然后对获得信号进行频域信道均衡,得到r(n);对于p=0,频域均衡后mR位置处的信号为被恢复的第0个正交支路的发送符号

Figure BDA0002282722150000091
对于p≥1,符号解调转入步骤(7)-步骤(9);(6) Perform DFT on the signal obtained in step (5), the length of the DFT is 2 times 2048, and then perform frequency domain channel equalization on the obtained signal to obtain r(n); for p=0, the mR position after frequency domain equalization The signal at is the transmitted symbol of the recovered 0th quadrature branch
Figure BDA0002282722150000091
For p≥1, the symbol demodulation goes to step (7)-step (9);

(7)分别针对每个正交支路的符号,进行信号提取,对于第p个正交支路,提取序号2m+p处的信号r(2m+p),信号的其他位置为0,即r(2m+q)置0,其中q≠p;(7) Perform signal extraction for the symbol of each quadrature branch respectively. For the p-th quadrature branch, extract the signal r(2m+p) at the serial number 2m+p, and the other positions of the signal are 0, that is, r(2m+q) is set to 0, where q≠p;

(8)对步骤(7)得到的信号进行4096点IDFT,可得信号

Figure BDA0002282722150000092
其中n=0,1,…,4095,然后将信号以一个符号周期为单位进行分段,如果要恢复第p个正交支路的发送符号时,则乘以第p个正交支路的相位因子e-j2πrp/2。信号
Figure BDA0002282722150000093
乘以相位因子e-j2π0p/2,信号
Figure BDA0002282722150000094
乘以相位因子e-j2πp/2;(8) Perform 4096-point IDFT on the signal obtained in step (7) to obtain the signal
Figure BDA0002282722150000092
where n=0,1,...,4095, then the signal is segmented in units of one symbol period. If the transmitted symbol of the p-th quadrature branch is to be recovered, multiply it by the Phase factor e -j2πrp/2 . Signal
Figure BDA0002282722150000093
Multiplied by the phase factor e -j2π0p/2 , the signal
Figure BDA0002282722150000094
Multiply by the phase factor e -j2πp/2 ;

(9)对步骤(8)所得信号分别进行4096点DFT,可以实现每个正交支路的符号解调。(9) 4096-point DFT is performed on the signals obtained in step (8) respectively, and symbol demodulation of each quadrature branch can be realized.

综上所述,本发明提供的基于循环前缀的多载波方法及系统,其发送端具有多个正交支路,可以同时传输多个符号,正交支路的最大个数不大于预设的延迟系数K,获取重复符号,否则多载波通信系统易出现干扰,且该多载波系统中各正交支路的重复符号经过离散傅里叶变换后分别乘以相位因子,不同正交支路的相位因子是正交的以保证符号的无干扰传输,同时假设有R个正交支路,每个正交支路上包含M个子载波,传统的OFDM需每隔M个采样点插入一段CP,而本发明由于采用正交支路同时每个发送符号重复延迟K次,只需在每隔KM个采样点插入一段CP,因此,本发明在降低多载波通信系统CP开销的同时并没有增加系统误码率。To sum up, the cyclic prefix-based multi-carrier method and system provided by the present invention has multiple orthogonal branches at the transmitting end, and can transmit multiple symbols at the same time, and the maximum number of orthogonal branches is not greater than the preset number. The delay coefficient K is used to obtain the repeated symbols, otherwise the multi-carrier communication system is prone to interference, and the repeated symbols of each orthogonal branch in the multi-carrier system are multiplied by the phase factor after discrete Fourier transform. The phase factor is orthogonal to ensure the interference-free transmission of symbols. At the same time, it is assumed that there are R orthogonal branches, and each orthogonal branch contains M subcarriers. In traditional OFDM, a CP needs to be inserted every M sampling points, while Since the present invention adopts orthogonal branches and repeats delay K times for each transmitted symbol, it only needs to insert a section of CP at every KM sampling point. Therefore, the present invention does not increase the system error while reducing the CP overhead of the multi-carrier communication system. code rate.

本发明由于不同正交支路发送符号的接收信号在时域上是分开的,因此,为了恢复正交支路上的发送符号,需要进行信号提取,由于不同正交支路的信号在时间上是分离的,因此,不同正交支路的发送符号可以独立进行解调,而不用联合求解,降低了复杂度;在进行信号提取后,在进行DFT(离散傅里叶变换)、乘以相位因子以及IDFT(离散傅里叶反变换)可实现符号解调,由于IDFT可以由FFT实现,实现复杂度低,因此,该多载波系统的接收端具有较低的实现复杂度。In the present invention, since the received signals of the transmitted symbols of different orthogonal branches are separated in the time domain, in order to recover the transmitted symbols on the orthogonal branches, signal extraction needs to be performed, because the signals of different orthogonal branches are temporally Therefore, the transmitted symbols of different orthogonal branches can be demodulated independently without joint solution, which reduces the complexity; after signal extraction, DFT (discrete Fourier transform), multiplied by the phase factor And IDFT (Inverse Discrete Fourier Transform) can realize symbol demodulation. Since IDFT can be realized by FFT, the realization complexity is low. Therefore, the receiving end of the multi-carrier system has lower realization complexity.

本发明采用预设的延迟系数K等于正交支路的个数R,其主要原因为当预设的延迟系数K小于正交支路的个数R时,会导致多载波通信系统易出现干扰,无法对发送符号进行解调,当预设的延迟系数K大于正交支路的个数R时,将会带来时间上的浪费,使其系统的能量效率和频谱效率降低,因此,当预设的延迟系数K等于正交支路的个数R时,可确保不降低系统的能量效率和频谱效率外还能保证系统误码率的不增加。The present invention adopts the preset delay coefficient K equal to the number R of orthogonal branches, the main reason is that when the preset delay coefficient K is less than the number R of orthogonal branches, the multi-carrier communication system is prone to interference , the transmitted symbols cannot be demodulated. When the preset delay coefficient K is greater than the number R of orthogonal branches, it will bring waste of time and reduce the energy efficiency and spectral efficiency of the system. Therefore, when When the preset delay coefficient K is equal to the number R of orthogonal branches, it can ensure that the energy efficiency and spectral efficiency of the system are not reduced, and that the bit error rate of the system is not increased.

本领域的技术人员容易理解,以上所述仅为本发明的较佳实施例而已,并不用以限制本发明,凡在本发明的精神和原则之内所作的任何修改、等同替换和改进等,均应包含在本发明的保护范围之内。Those skilled in the art can easily understand that the above are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements and improvements made within the spirit and principles of the present invention, etc., All should be included within the protection scope of the present invention.

Claims (5)

1. A cyclic prefix based multi-carrier method, comprising:
(1) synchronously performing inverse discrete Fourier transform on all subcarrier sending symbols in each orthogonal branch to obtain a time domain sending signal, wherein each orthogonal branch corresponds to M subcarriers, M is a subcarrier serial number, and M is 1, … and M;
(2) synchronously delaying the time domain sending signals transmitted on each orthogonal branch in sequence by rT and multiplying the time domain sending signals by corresponding phase factors ej2 πrp/RAcquiring time domain orthogonal signals on each orthogonal branch;
(3) synchronously superposing the time domain orthogonal signals acquired from each orthogonal branch, and then performing cyclic prefix processing to acquire a transmitting signal of a transmitting end; the transmission signal is converted into a reception signal at a receiving end, and a demodulation process of the reception signal includes S1-S5:
s1, converting the received signal into a frequency domain received signal without cyclic prefix and then performing channel equalization;
s2, judging whether the serial number of the orthogonal branch after channel equalization is 0, if so, the equalization signal at the mR position after channel equalization is the sending symbol of the 0 th orthogonal branch, otherwise, turning to the step S3;
s3, extracting the equalizing signal with the sequence number mR + p as the sending signal of the p-th orthogonal branch;
s4, performing inverse discrete fourier transform on the transmission signal acquired in step S3, and segmenting the transmission signal in units of one symbol period;
the S5 segmented transmission signals are all multiplied by corresponding phase factors ej2πrp/RThen, discrete Fourier transform is carried out to obtain symbol demodulation of each orthogonal branch;
wherein r is an integer set [0, K ]; k is a preset delay coefficient; t is a symbol period; k is more than or equal to the number R of the orthogonal branches; p is the serial number of the quadrature branch.
2. The multi-carrier method according to claim 1, characterized in that said preset delay factor K is equal to the number R of orthogonal branches.
3. The multi-carrier method according to claim 1, wherein the S1 specifically includes:
s1.1, removing a cyclic prefix in a received signal;
s1.2, performing discrete Fourier transform on the received signal without the cyclic prefix to obtain a frequency domain received signal without the cyclic prefix;
s1.3, channel equalization is carried out on the frequency domain received signal with the cyclic prefix removed.
4. A cyclic prefix based multi-carrier system, comprising: the system comprises a carrier loader, an orthogonal branch, a first Fourier inverse transformer, a signal delayer and a cyclic prefix processor which are connected in sequence, and a receiver, a cyclic prefix removing processor, a first Fourier transformer, a channel equalizer, an extraction module, a second Fourier inverse transformer, a phase modulator and a second Fourier transformer which are connected in sequence;
the orthogonal branch is used for synchronously transmitting a sending symbol; the carrier loader is configured to load the transmission symbol on the orthogonal branches, where each orthogonal branch corresponds to M subcarriers, M is a subcarrier sequence number, and M is 1, …, and M; the first inverse fourier transformer is configured to perform inverse discrete fourier transform on the transmission symbols transmitted in each of the orthogonal branches; the signal delayer is used for sequentially delaying the time domain transmission signals by rT, andmultiplied by a corresponding phase factor ej2πrp/RAcquiring time domain orthogonal signals on each orthogonal branch; the cyclic prefix processor is used for performing cyclic prefix processing after the time domain orthogonal signals acquired on each orthogonal branch are superposed to acquire transmitting signals;
the receiver is used for receiving the transmitting signal and converting the transmitting signal into a receiving signal; the processor is used for removing the cyclic prefix in the received signal; the first Fourier transformer is used for performing discrete Fourier transform on the transmission signal without the cyclic prefix; the channel equalizer is used for equalizing a frequency domain transmitting signal channel with the cyclic prefix removed; the extraction module is used for judging whether the serial number of the orthogonal branch is 0 or not, and if so, the equalized signal at the position of the mR after equalization is extracted is the sending symbol of the 0 th orthogonal branch; otherwise, extracting the equalization signal with the serial number mR + p as the transmission signal of the p-th orthogonal branch; the second inverse Fourier transformer is used for performing inverse discrete Fourier transform on the transmission signal of the p-th orthogonal branch to obtain a time-domain transmission signal; the phase modulator is used for dividing the time domain transmission signal by one symbol period and multiplying the time domain transmission signal by a phase factor ej2πrp/R(ii) a The second Fourier transformer is used for multiplying phase factor ej2πrp/RPerforming discrete Fourier transform on the transmitted signal to acquire symbol demodulation of each orthogonal branch;
wherein r is an integer set [0, K ]; k is a preset delay coefficient; t is a symbol period; k is more than or equal to the number R of the orthogonal branches; p is the serial number of the quadrature branch.
5. A multi-carrier system as claimed in claim 4, characterized in that said predetermined delay factor K is equal to the number R of orthogonal branches.
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