技术领域technical field
本发明属于通信技术领域，尤其涉及一种单载波频域均衡系统中实现物理层安全传输的预编码方法。The invention belongs to the technical field of communication, and in particular relates to a precoding method for realizing physical layer security transmission in a single carrier frequency domain equalization system.
背景技术Background technique
单载波频域均衡技术，不仅可以有效抵抗无线信道的频率选择性衰落，实现高速率、大容量的宽带无线传输，而且能够克服单载波时域均衡技术的实现复杂度较高以及正交频分复用技术的信号峰均比高的不足。单载波频域均衡技术已经成为宽带无线接入系统物理层的重要组成技术，并且已经被纳入IEEE802.16(WiMAX)标准中。目前，无线信道的开放性、通信的广播特性、终端的移动性、网络拓扑结构的多样性及无线传输的不稳定性等因素使得移动通信网络面临者更多的安全威胁，比如窃听和假冒。传统通信系统的安全机制是建立在物理层之上，并且假设物理层能够提供一条无差错的数据传输链路，通过合法用户之间的密钥共享来实现保密通信。然而目前大量出现的分布式通信系统，如移动Ad-hoc网络、用户直连通信系统，由于其成本低、功能简单，使得传统的加密技术无法实施。因此，研究新型的物理层安全机制来保证信息传输的安全性已引起人们的关注和重视。物理层传输的安全性是在没有引入合法通信双方共享密钥的条件下，通过物理层的编码、调制和传输设计来实现的。关于物理层信息安全的研究最早可以追溯到1949由香农奠定的安全信息理论。在此基础上，1975年，Wyner定义了窃听信道模型，建立了不依赖秘钥共享就可以提供安全通信链路的可能性。近些年，物理层传输技术的发展为物理层安全的研究和应用提供了广泛的空间。现有的物理层安全传输方案根据发射端是否已知窃听端的信道状态信息(CSI)可以分为两大类。第一类方案要求发射端已知窃听信道的全部或者部分CSI，利用预编码设计或者天线选择策略来实现物理层的安全传输。例如，文献Khisti A.,Womell G.,Wiesel A.,et.al.,"On the Gaussian MIMO wiretap channel,”In Proceedings ofIEEE International Symposium on Information Theory 2007(ISIT),Cambridge.MA,USA,June 2007,pp.2471-2475.利用对合法信道和窃听信道进行广义奇异值分解，提出了可实现安全信道容量最大化的预编码方案。不过这里需要指出，在多数场景下窃听端只是被动窃听而并不会主动发射信号，因此在实际的应用场景中发射端很难获取窃听信道的CSI。而第二类方案不要求发射端已知窃听信道的CSI，利用人工加噪或者空时编码的方法实现物理层安全传输。例如，文献Goel S.,Negi R.,"Guaranteeing secrecy usingartificial noise,”IEEE Transaction on Wireless Communication,7(6),June 2008,pp.2180-2189。提出了人工加噪的传输方案，并证明该方案在高信噪比下的渐进最优性。在该策略中人工噪声位于合法信道矩阵的正交空间内，所以人工噪声只会降低窃听信道的接收性能。不过该方案要求窃听端的天线数目要严格小于发射端的天线数目。The single-carrier frequency-domain equalization technology can not only effectively resist the frequency selective fading of the wireless channel, realize high-speed, large-capacity broadband wireless transmission, but also overcome the high implementation complexity of the single-carrier time-domain equalization technology and the orthogonal frequency division. The lack of high signal peak-to-average ratio of multiplexing technology. The single-carrier frequency domain equalization technology has become an important component technology of the physical layer of the broadband wireless access system, and has been incorporated into the IEEE802.16 (WiMAX) standard. At present, the openness of wireless channels, the broadcast characteristics of communication, the mobility of terminals, the diversity of network topology and the instability of wireless transmission make mobile communication networks face more security threats, such as eavesdropping and counterfeiting. The security mechanism of the traditional communication system is based on the physical layer, and it is assumed that the physical layer can provide an error-free data transmission link, and secure communication is achieved through key sharing between legitimate users. However, a large number of distributed communication systems, such as mobile Ad-hoc networks and user direct-connected communication systems, are currently available, because of their low cost and simple functions, the traditional encryption technology cannot be implemented. Therefore, the study of a new physical layer security mechanism to ensure the security of information transmission has attracted people's attention and attention. The security of physical layer transmission is realized through the coding, modulation and transmission design of the physical layer without introducing the shared secret key between the legitimate communication parties. The research on physical layer information security can be traced back to the secure information theory laid by Shannon in 1949. On this basis, in 1975, Wyner defined the eavesdropping channel model and established the possibility of providing a secure communication link without relying on key sharing. In recent years, the development of physical layer transmission technology has provided extensive space for the research and application of physical layer security. The existing physical layer security transmission schemes can be divided into two categories according to whether the transmitting end knows the channel state information (CSI) of the eavesdropping end. The first type of scheme requires that the transmitting end knows all or part of the CSI of the eavesdropping channel, and uses precoding design or antenna selection strategy to achieve secure transmission at the physical layer. For example, Khisti A., Womell G., Wiesel A., et.al., "On the Gaussian MIMO wiretap channel," In Proceedings of IEEE International Symposium on Information Theory 2007 (ISIT), Cambridge.MA,USA,June 2007 , pp.2471-2475. Using generalized singular value decomposition of legitimate channels and eavesdropping channels, a precoding scheme that maximizes the capacity of secure channels is proposed. However, it should be pointed out here that in most scenarios, the eavesdropping end only passively eavesdrops and does not actively transmit signals, so it is difficult for the transmitting end to obtain the CSI of the eavesdropping channel in practical application scenarios. The second type of scheme does not require the transmitter to know the CSI of the eavesdropping channel, and uses artificial noise or space-time coding to achieve physical layer security transmission. See, for example, Goel S., Negi R., "Guaranteeing secrecy using artificial noise," IEEE Transaction on Wireless Communication, 7(6), June 2008, pp. 2180-2189. A transmission scheme with artificial noise is proposed, and the asymptotic optimality of the scheme is proved under high signal-to-noise ratio. In this strategy, the artificial noise is located in the orthogonal space of the legal channel matrix, so the artificial noise will only reduce the reception performance of the eavesdropping channel. However, this scheme requires that the number of antennas at the eavesdropping end is strictly smaller than the number of antennas at the transmitting end.
现有的物理层安全传输方案是利用多天线系统的空域自由度来增强无线传输的物理层安全，而单载波频域均衡系统属于单天线系统，即发射端和接收端均采用单个天线，因此上述两种方案并不适用于单载波频域均衡系统。The existing physical layer security transmission scheme uses the spatial degree of freedom of the multi-antenna system to enhance the physical layer security of wireless transmission, while the single-carrier frequency domain equalization system belongs to the single-antenna system, that is, the transmitter and the receiver both use a single antenna. The above two schemes are not applicable to the single-carrier frequency domain equalization system.
发明内容SUMMARY OF THE INVENTION
本发明的目的在于提供一种针对单载波频域均衡系统的预编码方法，旨在解决单载波频域均衡系统物理层传输的安全性问题。The purpose of the present invention is to provide a precoding method for a single carrier frequency domain equalization system, which aims to solve the security problem of physical layer transmission of the single carrier frequency domain equalization system.
本发明的基本原理是发射端根据合法信道的CSI对发送信号进行预编码使得合法接收端可以正确解调信号；而窃听端由于无法获取合法信道的CSI，所以窃听端即使接收到发射端的信号也无法正确解调，从而在物理层实现发射端与合法接收端的安全传输。The basic principle of the present invention is that the transmitting end precodes the transmitted signal according to the CSI of the legal channel, so that the legal receiving end can demodulate the signal correctly; and the eavesdropping end cannot obtain the CSI of the legal channel, so even if the eavesdropping end receives the signal of the transmitting end, It cannot be demodulated correctly, so as to realize the secure transmission between the transmitter and the legitimate receiver at the physical layer.
为实现上述目的，所述单载波频域均衡系统中实现物理层安全传输的预编码方法具体包括以下步骤：In order to achieve the above object, the precoding method for realizing physical layer security transmission in the single-carrier frequency domain equalization system specifically includes the following steps:
步骤1，利用衰落信道的互易性，发射端利用合法接收端的反馈信号估计合法信道的时域冲击响应，即h＝[h(0),h(1),…,h(D-1)]T以及信道的总功率其中D为信道冲击响应的长度。Step 1: Using the reciprocity of the fading channel, the transmitting end uses the feedback signal of the legitimate receiving end to estimate the time-domain impulse response of the legitimate channel, that is, h=[h(0), h(1),...,h(D-1) ]T and the total power of the channel where D is the length of the channel impulse response.
步骤2，利用离散傅里叶变换(DFT)，发射端计算步骤1中h的频域等价信道矩阵，即Λ＝UHHeqU＝diag{λ0,λ1,…,λN-1}，其中，Heq是h等效的托普利茨(Toeplitz)矩阵形式，U为DFT矩阵，()H表示矩阵的共轭转置，diag{}表示对角矩阵。Step 2, using discrete Fourier transform (DFT), the transmitter calculates the frequency-domain equivalent channel matrix of h in step 1, that is, Λ=UH Heq U=diag{λ0 ,λ1 ,...,λN- 1 }, where Heq is the equivalent Toeplitz matrix form of h, U is the DFT matrix, ()H represents the conjugate transpose of the matrix, and diag{} represents the diagonal matrix.
步骤3：利用步骤1得到的Ptot和步骤2得到的Λ，发射端计算发送信号的频域预编码矩阵C＝diag{c0,c1,…,cN-1}，其中，且λk(0≤k≤N-1)为Λ主对角线上的元。Step 3: Using Ptot obtained in step 1 and Λ obtained in step 2, the transmitter calculates the frequency domain precoding matrix C=diag{c0 ,c1 ,...,cN-1 } of the transmitted signal, where, And λk (0≤k≤N-1) is an element on the main diagonal of Λ.
步骤4，利用步骤3得到的预编码矩阵C，发射端对发送信号进行频域预编码，并将编码后的信号再次转换成时域信号，即其中，U为DFT矩阵，x为发射端的时域发送信息；Step 4: Using the precoding matrix C obtained in Step 3, the transmitter performs frequency domain precoding on the transmitted signal, and converts the encoded signal into a time domain signal again, that is, Among them, U is the DFT matrix, and x is the time domain transmission information of the transmitter;
步骤5，发射端对步骤4的时域信号前面添加循环前缀(CP)得到然后通过合法信道将发送至合法接收端，其中CP的长度不少于步骤1中信道h的长度D；Step 5, the transmitter compares the time domain signal of Step 4 Add a cyclic prefix (CP) to the front to get and then through legal channels Send to the legitimate receiver, wherein the length of the CP is not less than the length D of the channel h in step 1;
步骤6，根据最小均方误差准则，合法接收端将时域接收信号转换成频域信号，然后再进行频域均衡，即其中，为合法接收端去除CP后的时域接收信号，U为DFT矩阵，W＝[ρΩHΩ+I]-1ΩH为频域均衡矩阵，其中，Ω＝CΛ，ρ是接收信号的平均信噪比，合法接收端可以利用接收信号中的导频信号并通过步骤1到步骤3所述的方法来估计C和Λ；Step 6: According to the minimum mean square error criterion, the legitimate receiver converts the received signal in the time domain into a signal in the frequency domain, and then performs frequency domain equalization, that is, in, It is the time domain received signal after the CP is removed by the legitimate receiver, U is the DFT matrix, W=[ρΩH Ω+I]-1 ΩH is the frequency domain equalization matrix, where Ω=CΛ, ρ is the average signal of the received signal. Noise ratio, the legitimate receiver can use the pilot signal in the received signal and estimate C and Λ by the method described in steps 1 to 3;
步骤7，利用离散反傅里叶变换，合法接收端将步骤6得到的频域信号转换成时域信号，即然后对其进行判决得到发射端发送的信息，其中，U为DFT矩阵。Step 7, using discrete inverse Fourier transform, the legitimate receiving end converts the frequency domain signal obtained in step 6 Converted to a time domain signal, that is Then it is judged to obtain the information sent by the transmitter, where U is the DFT matrix.
在多数物理层安全通信的应用场景中，窃听端只是被动窃听而并不会主动发射信号，所以发射端很难获取窃听信道的CSI。本发明针对单载波频域均衡系统，提供的预编码方法并不依赖于窃听信道的CSI，所以发射端在进行预编码时无需获取窃听信道的CSI，这使得本发明提供的预编码方法具有较高的实用价值。In most physical layer security communication application scenarios, the eavesdropping end only passively eavesdrops and does not actively transmit signals, so it is difficult for the transmitting end to obtain the CSI of the eavesdropping channel. Aiming at the single-carrier frequency domain equalization system, the precoding method provided by the present invention does not depend on the CSI of the eavesdropping channel, so the transmitter does not need to obtain the CSI of the eavesdropping channel when performing precoding, which makes the precoding method provided by the present invention more efficient. high practical value.
附图说明Description of drawings
图1是本发明实施例提供的实施例所采用的信道模型示意图。FIG. 1 is a schematic diagram of a channel model adopted by an embodiment provided by an embodiment of the present invention.
图2是本发明实施例提供的单载波频域均衡系统中实现物理层安全传输的预编码方法流程图。FIG. 2 is a flowchart of a precoding method for realizing physical layer security transmission in a single-carrier frequency domain equalization system provided by an embodiment of the present invention.
图3是本发明实施例提供的合法接收端与窃听端的信道容量的比较示意图。FIG. 3 is a schematic diagram comparing the channel capacity of a legitimate receiving end and an eavesdropping end according to an embodiment of the present invention.
图4是本发明实施例提供的合法接收端与窃听端的误码率的比较示意图。FIG. 4 is a schematic diagram illustrating a comparison of bit error rates of a legitimate receiving end and an eavesdropping end according to an embodiment of the present invention.
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，以下结合实施例，对本发明做进一步详细的说明。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 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.
本发明采用的信道模型如图1所示，发送端Alice将包含机密信息的信号通过多径衰落信道发送给合法接收端Bob。由于无线信道的开放性，Alice发送的信号也将被窃听端Eve接收到。这里可以认为Alice和Bob之间的合法信道是互易的，即上下行信道的衰落系数相同，其次合法信道与窃听信道的信道衰落系数是相互独立的。The channel model adopted in the present invention is shown in FIG. 1 , where Alice at the sending end sends a signal containing confidential information to the legitimate receiving end Bob through a multipath fading channel. Due to the openness of the wireless channel, the signal sent by Alice will also be received by the eavesdropping terminal Eve. Here it can be considered that the legal channels between Alice and Bob are reciprocal, that is, the fading coefficients of the uplink and downlink channels are the same, and the channel fading coefficients of the legal channel and the eavesdropping channel are independent of each other.
如图2所示，本发明实施例的单载波频域均衡系统中实现物理层安全传输的预编码方法实现步骤如下：As shown in FIG. 2 , the implementation steps of the precoding method for realizing physical layer security transmission in the single-carrier frequency domain equalization system according to the embodiment of the present invention are as follows:
步骤1，根据衰落信道的互易性，Alice可以利用Bob的反馈信号来估计合法信道的冲击响应h＝[h(0),h(1),…,h(D-1)]T以及信道的总功率其中D为信道冲击响应的长度。Step 1. According to the reciprocity of the fading channel, Alice can use Bob's feedback signal to estimate the impulse response of the legitimate channel h=[h(0), h(1),...,h(D-1)]T and the channel total power where D is the length of the channel impulse response.
Alice估计合法信道冲击响应的算法可以参考文献：Lam C T,Falconer D D,Danilo-Lemoine F,et al.Channel estimation for SC-FDE systems using frequencydomain multiplexed pilots[C]//Vehicular Technology Conference,2006.VTC-2006Fall.2006 IEEE 64th.IEEE,2006:1-5.Alice's algorithm for estimating the impulse response of a legitimate channel can refer to: Lam C T, Falconer D D, Danilo-Lemoine F, et al.Channel estimation for SC-FDE systems using frequencydomain multiplexed pilots[C]//Vehicular Technology Conference,2006.VTC- 2006Fall.2006 IEEE 64th.IEEE, 2006:1-5.
步骤2，利用DFT，Alice计算步骤1中h的频域等价信道矩阵Λ，详细步骤如下：Step 2: Using DFT, Alice calculates the frequency-domain equivalent channel matrix Λ of h in step 1. The detailed steps are as follows:
2a)将步骤1得到的h补零至长度为N，即h′＝[h(0),h(1),…,h(D-1),0,…,0]T；2a) Fill the h obtained in step 1 with zeros to a length of N, that is, h′=[h(0),h(1),…,h(D-1),0,…,0]T ;
2b)再将h′写成Toeplitz矩阵的形式，即2b) Then write h' in the form of a Toeplitz matrix, that is
2c)利用公式Λ＝UHHeqU，计算Heq的频域等价信道矩阵，即Λ＝diag{λ0,λ1,…,λN-1}，其中，U为N阶的DFT矩阵，且U的第m行n列的元为而()H表示矩阵的共轭转置，diag{}表示对角矩阵。2c) Using the formula Λ=UH Heq U, calculate the frequency-domain equivalent channel matrix of Heq , that is, Λ=diag{λ0 ,λ1 ,...,λN-1 }, where U is the N-order DFT matrix, and the elements of the mth row and nth column of U are And ()H represents the conjugate transpose of the matrix, and diag{} represents the diagonal matrix.
步骤3：利用步骤1得到的Ptot和步骤2得到的Λ，Alice计算发送信号的频域预编码矩阵C＝diag{c0,c1,…,cN-1}，其中且0≤k≤N-1；Step 3: Using Ptot obtained in step 1 and Λ obtained in step 2, Alice calculates the frequency domain precoding matrix C=diag{c0 ,c1 ,...,cN-1 } of the transmitted signal, where And 0≤k≤N-1;
步骤4，利用步骤3得到的频域预编码矩阵C，Alice对发送信号进行频域预编码，具体步骤如下：Step 4, using the frequency domain precoding matrix C obtained in step 3, Alice performs frequency domain precoding on the transmitted signal, and the specific steps are as follows:
4a)利用DFT，Alice将时域发送信息x＝[x(0),x(1),…,x(N-1)]T转换成频域发送信号，即得到其中，U为N阶的DFT矩阵；4a) Using DFT, Alice converts the time-domain transmission information x=[x(0),x(1),...,x(N-1)]T into the frequency-domain transmission signal, that is, obtains Among them, U is the DFT matrix of order N;
4b)利用步骤3的频域预编码矩阵C，Alice对步骤4a)得到的频域信号进行频域预编码，即得到4b) Using the frequency domain precoding matrix C in step 3, Alice performs the frequency domain signal obtained in step 4a). Perform frequency domain precoding to get
4c)利用离散反傅里叶变换(IDFT)，Alice将步骤4b)的频域信号再转换成时域信号，即得到其中，U为N阶的DFT矩阵；4c) Using the discrete inverse Fourier transform (IDFT), Alice transforms the frequency domain signal of step 4b) Then convert it into a time domain signal, that is, get in, U is a DFT matrix of order N;
步骤5，Alice对步骤4c)得到的时域信号前面添加CP，即得到其中CP的长度Γ不少于步骤1中信道h的冲击响应长度D，然后将通过合法信道发送至Bob；Step 5, Alice compares the time domain signal obtained in step 4c) Add CP in front to get where the length Γ of CP is not less than the impulse response length D of channel h in step 1, and then the sent to Bob over a legal channel;
步骤6，根据最小均方误差准则，Bob对接收信号进行频域均衡，具体步骤如下：Step 6: According to the minimum mean square error criterion, Bob performs frequency domain equalization on the received signal. The specific steps are as follows:
6a)Bob去除接收信号中长度为Γ的CP，得到时域信号6a) Bob removes the CP of length Γ in the received signal to obtain the time domain signal
6b)利用DFT，Bob将步骤6a)得到的时域信号转换成频域信号，即其中，U为N阶的DFT矩阵；6b) Using DFT, Bob converts the time domain signal obtained in step 6a) Converted to a frequency domain signal, that is Among them, U is the DFT matrix of order N;
6c)Bob对步骤6b)得到的信号进行频域均衡，即其中，W＝[ρΩHΩ+I]-1ΩH为频域均衡矩阵且Ω＝CΛ，ρ是接收信号的平均信噪比。6c) Bob's response to the signal obtained in step 6b) Perform frequency domain equalization, that is, Wherein, W=[ρΩH Ω+I]−1 ΩH is the frequency domain equalization matrix and Ω=CΛ, ρ is the average signal-to-noise ratio of the received signal.
Bob可利用Alice发送的导频信号来估计合法信号的冲击响应h，并按照步骤1到步骤3所述的方法分别计算Λ和C从而得到Ω。另外，ρ可通过以下参考文献的方法来估计：XuH,Wei G,Zhu J.A novel SNR estimation algorithm for OFDM[C]//VehicularTechnology Conference,2005.VTC 2005-Spring.2005 IEEE 61st.IEEE,2005,5:3068-3071.Bob can use the pilot signal sent by Alice to estimate the impulse response h of the legitimate signal, and calculate Λ and C according to the methods described in steps 1 to 3 to obtain Ω. In addition, ρ can be estimated by the method of the following references: XuH, Wei G, Zhu J.A novel SNR estimation algorithm for OFDM[C]//VehicularTechnology Conference,2005.VTC 2005-Spring.2005 IEEE 61st.IEEE,2005,5 :3068-3071.
步骤7，利用IDFT，Bob将步骤6c)频域均衡后的信号转换成时域信号，即其中，U为N阶的DFT矩阵。然后Bob对y进行判决，最终得到Alice发送的信息。Step 7, using IDFT, Bob equalizes the signal after step 6c) frequency domain equalization Converted to a time domain signal, that is Among them, U is a DFT matrix of order N. Bob then makes a decision on y, and finally gets the information sent by Alice.
下面结合仿真对本发明的应用效果作详细的描述。The application effect of the present invention will be described in detail below in conjunction with simulation.
1)仿真条件：1) Simulation conditions:
假设在单载波频域均衡系统中，发射端的信号帧长为N＝16，合法信道的长度为D＝4，即h＝[h(0),h(1),h(2),h(3)]T且信道的总功率归一化为1，即Assuming that in the single-carrier frequency domain equalization system, the signal frame length of the transmitter is N=16, and the length of the legal channel is D=4, that is, h=[h(0), h(1), h(2), h( 3)]T and the total power of the channel is normalized to 1, i.e.
2)仿真内容与结果：2) Simulation content and results:
仿真1，针对采用本发明提出的预编码方法的单载波频域均衡系统，利用计算机对合法信道和窃听信道的信道容量进行了比较，仿真结果如图3所示。在仿真中，系统的安全信道容量定义为合法信道与窃听信道的信道容量之差。从图3可以看出，随着信噪比的增加，系统的安全信道容量也随之增加。当信噪比达到30dB时，合法信道的信道容量是窃听信道的信道容量的2.5倍，此时系统的安全信道容量可以达到4.4bits/s/Hz。Simulation 1, for the single-carrier frequency domain equalization system using the precoding method proposed by the present invention, the channel capacity of the legitimate channel and the eavesdropping channel is compared by computer, and the simulation result is shown in Figure 3. In the simulation, the secure channel capacity of the system is defined as the difference between the channel capacity of the legitimate channel and the eavesdropping channel. As can be seen from Figure 3, as the signal-to-noise ratio increases, the safety channel capacity of the system also increases. When the signal-to-noise ratio reaches 30dB, the channel capacity of the legal channel is 2.5 times that of the eavesdropping channel, and the security channel capacity of the system can reach 4.4bits/s/Hz.
仿真2，针对采用本发明提出的预编码方法的单载波频域均衡系统，利用计算机对合法接收端和窃听端的误码率进行了比较，仿真结果如图4所示。在仿真中，合法接收端如前所述采用基于最小均方误差准则的频域均衡器，而窃听端采用性能更好的迭代判决反馈均衡器。从图4可以看出，合法接收端的误码率性能明显优于窃听端的误码率性能，而且窃听端即使增加了均衡器的迭代次数，误码率性能并没有明显改善。也就是说，当发射端与合法接收端可以正常通信的同时，窃听端却无法正确接收发射端的信号，从而在实现了单载波频域均衡系统的安全通信。Simulation 2, for the single-carrier frequency domain equalization system using the precoding method proposed by the present invention, the bit error rate of the legitimate receiving end and the eavesdropping end is compared by computer, and the simulation result is shown in FIG. 4 . In the simulation, the legitimate receiving end adopts the frequency domain equalizer based on the minimum mean square error criterion as described above, while the eavesdropping end adopts the iterative decision feedback equalizer with better performance. As can be seen from Figure 4, the bit error rate performance of the legitimate receiver is obviously better than that of the eavesdropping end, and even if the eavesdropping end increases the number of equalizer iterations, the bit error rate performance does not improve significantly. That is to say, when the transmitting end and the legitimate receiving end can communicate normally, the eavesdropping end cannot correctly receive the signal of the transmitting end, thus realizing the secure communication of the single-carrier frequency domain equalization system.
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。The above descriptions 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 shall be included in the protection of the present invention. within the range.
| Application Number | Priority Date | Filing Date | Title |
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| CN201610566316.6ACN106131026B (en) | 2016-07-18 | 2016-07-18 | The method for precoding of safety of physical layer transmission is realized in single-carrier frequency domain equalization system |
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| CN201610566316.6ACN106131026B (en) | 2016-07-18 | 2016-07-18 | The method for precoding of safety of physical layer transmission is realized in single-carrier frequency domain equalization system |
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