CN106998586B - The synchronization acquiring method of wireless communication system in a kind of high dynamic environment - Google Patents
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Abstract
本发明属于通信技术领域,尤其涉及在高动态环境中无线通信系统的同步捕获方法。本发明的方法先对接收信号的差分解调软信息序列与本地同步捕获序列进行一级相关,差分解调可以有效地克服大频偏对相关峰值的影响;然后多个一级相关值构成的图案和本地二级捕获图案进行二级相关,若二级相关峰值大于门限则认为时间同步捕获成功;时间同步捕获成功后,再用接收的同步信号波形和本地同步捕获波形进行多级频偏估计和补偿,完成频率同步,从而完成系统的同步捕获;与传统的同步捕获方法相比,本发明的方法在相同的虚警概率下可提高同步捕获概率,并可大大提高频偏估计范围和频偏估计精度,可以在高动态环境中很好地完成同步捕获。
The invention belongs to the technical field of communication, and in particular relates to a synchronization acquisition method of a wireless communication system in a high dynamic environment. In the method of the present invention, the differential demodulation soft information sequence of the received signal is firstly correlated with the local synchronous acquisition sequence, and the differential demodulation can effectively overcome the influence of the large frequency offset on the correlation peak value; The pattern and the local secondary capture pattern perform secondary correlation. If the secondary correlation peak value is greater than the threshold, it is considered that the time synchronization capture is successful; after the time synchronization capture is successful, the received synchronization signal waveform and the local synchronization capture waveform are used for multi-level frequency offset estimation. and compensation to complete the frequency synchronization, thereby completing the synchronous acquisition of the system; compared with the traditional synchronous acquisition method, the method of the present invention can improve the synchronous acquisition probability under the same false alarm probability, and can greatly improve the frequency offset estimation range and frequency Partial estimation accuracy, which can do well in synchronous capture in high dynamic environments.
Description
技术领域technical field
本发明属于通信技术领域,尤其涉及在高动态环境中无线通信系统的同步捕获方法。The invention belongs to the technical field of communication, and in particular relates to a synchronization acquisition method of a wireless communication system in a high dynamic environment.
背景技术Background technique
在无线通信系统中,同步是数据正确传输的前提,同步捕获作为同步技术中最重要的一环,包括时间同步和频率同步两部分。通常情况下,接收端并不知道信号的开始位置,无法直接接收并解调出数据信息,故需要时间同步;接收信号的载波和本地载波也并不完全同步,存在频率偏移(简称频偏),故需要频率同步;尤其当接收机处于高动态环境中时,收发相对运动产生的多普勒效应将导致接收信号与发射信号间存在较大频偏,大频偏将对传统同步方法的时间同步捕获性能造成很大影响,因此如何实现高动态环境中无线通信系统的时间同步和频率同步是同步捕获的一个难题。In a wireless communication system, synchronization is the prerequisite for correct data transmission. As the most important part of synchronization technology, synchronization acquisition includes two parts: time synchronization and frequency synchronization. Usually, the receiving end does not know the starting position of the signal, and cannot directly receive and demodulate the data information, so time synchronization is required; the carrier of the received signal is not completely synchronized with the local carrier, and there is a frequency offset (frequency offset for short) ), so frequency synchronization is required; especially when the receiver is in a highly dynamic environment, the Doppler effect generated by the relative motion of the transceiver will cause a large frequency offset between the received signal and the transmitted signal, and the large frequency offset will affect the traditional synchronization method. The performance of time synchronization acquisition has a great impact, so how to realize the time synchronization and frequency synchronization of wireless communication systems in a highly dynamic environment is a difficult problem of synchronization acquisition.
针对高动态环境中无线通信系统的同步捕获问题,国内外很多学者进行了大量的研究工作,通常采用以下方法:1)多通道时域(或频域)并行捕获方法,该方法对接收信号同时进行不同支路的频率补偿,以大于门限的相关值中最大值所在支路对应的时刻位置、多普勒变化率和频偏作为时间同步和频率同步结果;2)基于时域滑动相关的同步串行捕获方法,该方法是在时域对接收信号与本地同步序列进行滑动相关,当相关值大于门限时认为时间同步捕获完成,并根据多个相关值进行频偏估计;3)基于快速傅里叶变换(FastFourier Transformation,FFT)的快速捕获方法,该方法是方法2的频域快速实现,以频域相乘操作来等价完成时域的相关操作,对比时域滑动相关操作,这种方法大大减少了捕获时间;4)基于分段匹配滤波(Partial Matched Filtering,PMF)的PMF-FFT算法,该方法在时域选取长序列的一部分进行相关,可以在一定程度上抵抗频偏对长序列的影响,再用部分相关值做FFT估计频率,可以提高频率估计范围。Aiming at the problem of synchronous acquisition of wireless communication systems in high dynamic environments, many scholars at home and abroad have carried out a lot of research work, usually using the following methods: 1) Multi-channel time domain (or frequency domain) parallel acquisition method, this method simultaneously acquires the received signal Carry out frequency compensation for different branches, and use the time position, Doppler change rate and frequency offset corresponding to the branch where the maximum value in the correlation value greater than the threshold is located as the result of time synchronization and frequency synchronization; 2) Synchronization based on time domain sliding correlation The serial acquisition method, which is to perform sliding correlation on the received signal and the local synchronization sequence in the time domain. When the correlation value is greater than the threshold, it is considered that the time synchronization acquisition is completed, and the frequency offset is estimated according to multiple correlation values; 3) Based on the fast Fourier The fast acquisition method of FastFourier Transformation (FFT), which is the rapid implementation of method 2 in the frequency domain, uses the multiplication operation in the frequency domain to equivalently complete the correlation operation in the time domain. Compared with the sliding correlation operation in the time domain, this The method greatly reduces the capture time; 4) PMF-FFT algorithm based on Partial Matched Filtering (Partial Matched Filtering, PMF), this method selects a part of the long sequence in the time domain for correlation, which can resist the frequency offset to a certain extent The impact of the sequence, and then use the partial correlation value to do FFT to estimate the frequency, can improve the frequency estimation range.
多通道时域(或频域)并行捕获方法原理相对简单,可以完成高动态环境中的时间和频率同步,但在频偏较大的环境中需要多路并行处理,实现复杂度过高;基于时域滑动相关的同步串行捕获方法和基于FFT的快速捕获方法结构简单,其中FFT方法复杂度大大低于时域滑动相关,但二者性能一致,这两种方法都适用于完整周期伪随机序列的捕获,在小频偏时,同步序列越长,相关性越好,但在大频偏时,长序列的相关性受频偏影响很大,从而会降低同步捕获性能,因此,大频偏时这两种方法只适用较短序列进行捕获,与长序列相比,短序列的频偏估计范围虽然较大,但其相关性较差,在低信噪比和小频偏时不能满足系统同步捕获性能要求,因此,同步捕获序列长度的选择需兼顾序列相关性和频偏估计范围,过长和过短都无法满足系统需求;PMF-FFT是目前比较常用的长码捕获算法,基于兼顾相关性较好和频偏估计范围较大的需求,选择了长序列的部分相关,但部分相关的操作破坏了长序列的好相关特性,对相关峰值造成一定损失,降低了时间同步捕获性能,同时部分相关的时间长度也决定了频偏估计范围,抵抗大频偏的能力有限,因此这三种方法虽然可以应对有一定频偏的环境,但很难应对高速飞行的空地通信、空空通信等具有更大频偏的高动态环境。The principle of the multi-channel time-domain (or frequency-domain) parallel acquisition method is relatively simple, and it can complete time and frequency synchronization in a highly dynamic environment, but in an environment with a large frequency offset, multi-channel parallel processing is required, and the implementation complexity is too high; based on The time-domain sliding correlation synchronous serial acquisition method and the FFT-based fast acquisition method are simple in structure, and the complexity of the FFT method is much lower than the time-domain sliding correlation, but the performance of the two is the same, and both methods are suitable for full-period pseudo-random For sequence capture, when the frequency offset is small, the longer the synchronization sequence, the better the correlation, but when the frequency offset is large, the correlation of the long sequence is greatly affected by the frequency offset, which will reduce the synchronization capture performance. Therefore, the large frequency These two methods are only suitable for shorter sequences to capture. Compared with long sequences, the frequency offset estimation range of short sequences is larger, but its correlation is poor, and it cannot meet the requirements of low signal-to-noise ratio and small frequency offset. System synchronization acquisition performance requirements, therefore, the selection of the synchronization acquisition sequence length should take into account the sequence correlation and frequency offset estimation range, too long or too short can not meet the system requirements; PMF-FFT is a commonly used long code acquisition algorithm at present, based on Taking into account the needs of better correlation and larger frequency offset estimation range, the partial correlation of long sequences is selected, but the operation of partial correlation destroys the good correlation characteristics of long sequences, causes a certain loss to the correlation peak, and reduces the performance of time synchronization capture , at the same time, the length of part of the relevant time also determines the frequency offset estimation range, and the ability to resist large frequency offsets is limited. Therefore, although these three methods can deal with environments with certain frequency offsets, they are difficult to deal with high-speed air-to-ground communications and air-to-air communications. Such as high dynamic environment with larger frequency deviation.
发明内容SUMMARY OF THE INVENTION
为解决现有技术的不足,本发明提供了一种高动态环境中无线通信系统的同步捕获方法,在该方法中,设计的同步信号采用可进行差分解调的调制方式,在接收端进行时间同步时,先对接收信号的差分解调软信息序列与本地同步捕获序列进行一级相关,差分解调可以有效地克服大频偏对相关峰值的影响;然后多个一级相关值构成的图案和本地二级捕获图案进行二级相关,若二级相关峰值大于门限则认为时间同步捕获成功;时间同步捕获成功后,再用接收的同步信号波形和本地同步捕获波形进行多级频偏估计和补偿,完成频率同步,从而完成系统的同步捕获;与传统的同步捕获方法相比,该方法在相同的虚警概率下可提高同步捕获概率,并可大大提高频偏估计范围和频偏估计精度,可以在高动态环境中很好地完成同步捕获。In order to solve the deficiencies of the prior art, the present invention provides a method for synchronous acquisition of a wireless communication system in a highly dynamic environment. In this method, the designed synchronous signal adopts a modulation method capable of differential demodulation, and the timing is performed at the receiving end. When synchronizing, the differential demodulation soft information sequence of the received signal is first correlated with the local synchronous acquisition sequence, and the differential demodulation can effectively overcome the influence of large frequency offset on the correlation peak; then the pattern composed of multiple primary correlation values Perform secondary correlation with the local secondary capture pattern, if the secondary correlation peak value is greater than the threshold, it is considered that the time synchronization capture is successful; after the time synchronization capture is successful, then use the received synchronization signal waveform and the local synchronization capture waveform to perform multi-level frequency offset estimation and Compensation to complete frequency synchronization, thereby completing the synchronization acquisition of the system; compared with the traditional synchronization acquisition method, this method can improve the synchronization acquisition probability under the same false alarm probability, and can greatly improve the frequency offset estimation range and frequency offset estimation accuracy , which can do well in synchronous capture in highly dynamic environments.
为了方便地描述本发明的内容,首先对本地同步捕获图案和本地同步信号波形进行说明:本地同步捕获图案由L2个本地同步捕获序列X构成,每个同步捕获序列包括L1个调制符号,L2个本地同步捕获序列的相位构成一个本地二级捕获图案B,因此,本地同步捕获图案包括L1L2个调制符号;如果每个调制符号有Nsamp个采样点,则经过Nsamp倍采样的本地同步捕获图案形成本地同步信号波形S,其中,L1,L2,Nsamp均为不为零的自然数。In order to describe the content of the present invention conveniently, the local synchronous acquisition pattern and the local synchronous signal waveform are firstly explained: the local synchronous acquisition pattern is composed of L 2 local synchronous acquisition sequences X, and each synchronous acquisition sequence includes L 1 modulation symbols, The phases of L 2 local synchronous acquisition sequences form a local secondary acquisition pattern B, therefore, the local synchronous acquisition pattern includes L 1 L 2 modulation symbols; if each modulation symbol has N samp sampling points, after N samp times The sampled local synchronization capture pattern forms a local synchronization signal waveform S, wherein L 1 , L 2 , and N samp are all non-zero natural numbers.
一种高动态环境中无线通信系统的同步捕获方法,具体步骤如下:A method for synchronous acquisition of a wireless communication system in a highly dynamic environment, the specific steps are as follows:
S1、设定捕获门限因子Gt和长度为K的差分符号数组λ,λ=[λ(1)λ(2)…λ(K)];S1, setting the capture threshold factor G t and the differential symbol array λ of length K, λ=[λ(1)λ(2)...λ(K)];
S2、初始化滑动相关初始位置n,n=1;S2. Initialize the sliding related initial position n, n=1;
S3、对当前样点位置n的接收信号进行符号级差分解调,得到差分解调软信息dn;S3. Perform symbol-level differential demodulation on the received signal at the current sample point position n to obtain differential demodulation soft information d n ;
S4、判断当前位置n是否大于(L1-1)Nsamp,若是,则计算一级相关值:将L1个差分解调软信息构成的序列D与本地同步捕获序列X相关,得到当前样点位置n对应的一级相关值zn;否则,转S7;S4. Determine whether the current position n is greater than (L 1 -1)N samp , if so, calculate a first-order correlation value: correlate the sequence D formed by L 1 differential demodulation soft information with the local synchronous capture sequence X, and obtain the current sample The first-order correlation value z n corresponding to point position n; otherwise, go to S7;
S5、判断当前位置n是否大于(L1L2-1)Nsamp,若是,则计算二级相关值:将L2个一级相关值Z与本地二级捕获图案B相关,得到当前样点位置对应的二级相关值cn;否则转S7;S5. Determine whether the current position n is greater than (L 1 L 2 -1)N samp , if so, calculate the secondary correlation value: correlate L 2 primary correlation values Z with the local secondary capture pattern B to obtain the current sample point The second-level correlation value c n corresponding to the position; otherwise, go to S7;
S6、判断二级相关值cn的模方是否大于门限:若是,转S8;否则,转S7;S6, judging whether the modulus of the secondary correlation value c n is greater than the threshold: if so, turn to S8; otherwise, turn to S7;
S7、滑动到下一位置,n=n+1,转S3;S7, slide to the next position, n=n+1, turn to S3;
S8、时间同步捕获位置定位:计算当前样点位置n后Nsamp-1个样点对应的二级相关值,在这Nsamp个二级相关值中找出相关值模方最大的样点位置作为准确时间同步捕获位置,时间同步捕获完成;S8. Time synchronization capture position positioning: calculate the secondary correlation value corresponding to N samp -1 sample points after the current sample point position n, and find the sample point position with the largest correlation value modulus among the N samp secondary correlation values Time-synchronized capture completes as accurate time-synchronized capture position;
S9、频率同步:根据时间同步捕获位置对应的接收同步信号波形R与本地同步信号波形S进行多级频偏估计和补偿。S9. Frequency synchronization: perform multi-level frequency offset estimation and compensation according to the received synchronization signal waveform R corresponding to the time synchronization capture position and the local synchronization signal waveform S.
进一步地,S4所述一级相关值计算具体步骤如下:Further, the specific steps of calculating the first-order correlation value in S4 are as follows:
S41、当前样点位置n的符号级差分解调软信息dn与等间隔的前L1-1个差分解调软信息构成当前差分解调软信息序列D,间隔为Nsamp个采样点;S41. The symbol-level differential demodulation soft information d n of the current sample point position n and the first L 1 -1 differential demodulation soft information at equal intervals constitute the current differential demodulation soft information sequence D, The interval is N samp sampling points;
S42、当前差分解调软信息序列D与本地同步捕获序列共轭相乘求和再除以L1,得到当前样点位置n对应的一级相关值zn, S42, the current differential demodulation soft information sequence D and the local synchronous capture sequence Conjugate multiplication and summation and then divide by L 1 to obtain the first-order correlation value z n corresponding to the current sample point position n ,
进一步地,S5所述二级相关值计算具体步骤如下:Further, the specific steps for calculating the secondary correlation value in S5 are as follows:
S51、当前样点位置n的一级相关值zn与等间隔的前L2-1个一级相关值构成当前二级捕获图案间隔为L1Nsamp个采样点;S51. The first-order correlation value z n of the current sample point position n and the first L 2 -1 first-order correlation values at equal intervals constitute the current second-order capture pattern The interval is L 1 N samp sampling points;
S52、当前二级捕获图案Z与本地二级捕获图案共轭相乘求和再除以L2,得到当前样点位置n对应的二级相关值cn, S52, the current secondary capture pattern Z and the local secondary capture pattern Conjugate multiplication and summation and then divide by L 2 to get the secondary correlation value c n corresponding to the current sample point position n ,
进一步地,S8所述时间同步捕获位置定位具体步骤如下:Further, the specific steps of time synchronization capture position positioning in S8 are as follows:
S81、计算当前样点位置n之后的Nsamp-1个样点位置对应的符号级差分解调软信息,得到 S81. Calculate the symbol-level differential demodulation soft information corresponding to N samp -1 sample point positions after the current sample point position n, and obtain
S82、计算样点位置n+1,n+2,…,n+Nsamp-1对应的一级相关值计算方法同S4;S82. Calculate the first-order correlation value corresponding to sample point positions n+1, n+2,..., n+N samp -1 The calculation method is the same as S4;
S83、计算样点位置n+1,n+2,…,n+Nsamp-1对应的二级相关值计算方法同S5;S83. Calculate the secondary correlation value corresponding to sample point positions n+1, n+2,..., n+N samp -1 The calculation method is the same as S5;
S84、在Nsamp个二级相关值的模方中找出最大值对应的样点位置,作为准确时间同步捕获位置,时间同步捕获完成;S84, the modulus of N samp secondary correlation values Find the sample point position corresponding to the maximum value in , as the accurate time synchronization capture position, and the time synchronization capture is completed;
进一步地,S9所述频偏估计具体步骤如下:Further, the specific steps of frequency offset estimation described in S9 are as follows:
S91、初始化频偏估计级数k=1;S91. Initialize frequency offset estimation series k=1;
S92、校正波形:根据S8得到的准确时间同步捕获位置,将时间同步捕获位置对应的接收同步信号波形R与本地同步信号波形S共轭相乘,得到校正波形A;S92. Correction waveform: according to the accurate time synchronization capture position obtained in S8, the received synchronization signal waveform R corresponding to the time synchronization capture position is conjugate-multiplied by the local synchronization signal waveform S to obtain the correction waveform A;
S93、计算校正波形分段均值:按照当前频偏估计级数k对应的差分符号数λ(k)对校正波形分段,并对每段校正波形求均值,得到校正波形分段均值序列MA;S93. Calculating the segmented mean value of the corrected waveform: Segment the corrected waveform according to the number of differential symbols λ(k) corresponding to the current frequency offset estimation series k, and calculate the mean value for each segment of the corrected waveform to obtain the segmented mean value sequence M A of the corrected waveform ;
S94、计算第k级相位差:根据MA相邻值共轭相乘的均值,计算第k级相位差△θk;S94. Calculating the k-th stage phase difference: calculating the k-th stage phase difference △θ k according to the mean value of the conjugate multiplication of adjacent values of MA ;
S95、估计第k级频偏:根据△θk,计算第k级频偏估计值 S95. Estimating the frequency offset of the kth level: according to △θ k , calculate the estimated value of the frequency offset of the kth level
S96、补偿频偏:对接收同步信号波形R进行第k次频偏补偿,并更新R;S96. Compensating for frequency offset: performing k-th frequency offset compensation on the waveform R of the received synchronization signal, and updating R;
S97、判断当前差分级数k是否大于等于总级数K:如果k≥K,转S99;否则,转S98;S97. Judging whether the current differential grade k is greater than or equal to the total grade K: if k≥K, go to S99; otherwise, go to S98;
S98、更新频偏估计级数k=k+1,转S92;S98. Update frequency offset estimation series k=k+1, go to S92;
S99、累加多级频偏估计结果作为最终频偏估计结果 S99. Accumulate multi-level frequency offset estimation results as the final frequency offset estimation result
本发明的有益效果是:The beneficial effects of the present invention are:
本发明可实现高动态环境中无线通信系统可靠的时间同步和频率同步,先对接收信号差分解调软信息序列与本地同步捕获序列一级相关,克服大频偏对较长序列相关值的影响;再利用二级相关机制进一步提高高动态环境中的同步捕获概率;然后用接收的同步信号波形和本地同步信号波形进行多级频偏估计和补偿,大大提高了频偏估计范围和频偏估计精度,而且对频偏不敏感,既适用于小频偏环境,也适用于大频偏环境;和传统的同步捕获方法相比,本发明在大频偏低信噪比的高动态环境中,可显著提高无线通信系统的同步捕获概率、频偏估计范围和频偏估计精度,而且实现复杂度较低,具有很强的应用价值。The invention can realize reliable time synchronization and frequency synchronization of the wireless communication system in a high dynamic environment, and first correlates the received signal differentially demodulated soft information sequence with the local synchronous capture sequence to overcome the influence of large frequency offset on the correlation value of the longer sequence ; and then use the secondary correlation mechanism to further improve the probability of synchronous acquisition in a high dynamic environment; then use the received synchronous signal waveform and the local synchronous signal waveform to perform multi-level frequency offset estimation and compensation, which greatly improves the frequency offset estimation range and frequency offset estimation accuracy, and is not sensitive to frequency offset, it is suitable for both small frequency offset environment and large frequency offset environment; compared with the traditional synchronous acquisition method, the present invention is in a high dynamic environment with large frequency offset and low signal-to-noise ratio. The synchronization acquisition probability, frequency offset estimation range and frequency offset estimation accuracy of a wireless communication system can be significantly improved, and the implementation complexity is low, so it has strong application value.
附图说明Description of drawings
图1是本发明高动态环境中无线通信系统的同步捕获方法工作总流程图;Fig. 1 is a general flowchart of the synchronous acquisition method of the wireless communication system in the high dynamic environment of the present invention;
图2是一级相关值计算流程图;Fig. 2 is a flow chart of calculating the first-order correlation value;
图3是二级相关值计算流程图;Fig. 3 is a flow chart of secondary correlation value calculation;
图4是时间同步捕获位置定位流程图;Fig. 4 is a flow chart of time synchronization capture position positioning;
图5是频率同步流程图;Fig. 5 is a flow chart of frequency synchronization;
图6是本发明具体实施方式与传统同步捕获方法在加性高斯白噪声信道(Additive White Gaussian Noise,AWGN)下的捕获性能对比示意图;Fig. 6 is a schematic diagram of a comparison of acquisition performance between a specific embodiment of the present invention and a traditional synchronous acquisition method under an additive white Gaussian noise channel (Additive White Gaussian Noise, AWGN);
图7是本发明具体实施方式与传统同步捕获方法在AWGN信道下的频偏估计性能对比示意图。Fig. 7 is a schematic diagram of frequency offset estimation performance comparison between a specific embodiment of the present invention and a traditional synchronization acquisition method in an AWGN channel.
具体实施方式Detailed ways
下面结合实施例和附图,详细描述本发明的技术方案。The technical solution of the present invention will be described in detail below in conjunction with the embodiments and the accompanying drawings.
以采用MSK调制的无线通信系统和AWGN信道环境为例,进行高动态环境中的同步捕获,选用的本地捕获序列是周期长为L1=127的m序列,对应的生成多项式为:g(x)=x7+x3+1,本地二级捕获图案是长度为L2=7的m序列:{-1,-1,-1,1,1,-1,1},调制符号速率Rs=1MBaud,过采倍数Nsamp=5,设{sn}为发送基带过采样波形序列,{wn}为噪声序列,△f为收发频偏,即接收信号载频减去发送信号载频为△f,△θ为收发之间的载波相位差,Tsamp为采样时间,且Tsamp=1/(RsNsamp),则接收的基带过采样波形序列为{rn},n=1,2,…,rn=snexp(j(2π△fnTsamp+△θ))+wn,如图1所示,本实施方式采用的同步捕获方法具体步骤为:Taking the MSK-modulated wireless communication system and the AWGN channel environment as an example, to carry out synchronous acquisition in a highly dynamic environment, the selected local acquisition sequence is an m-sequence with a cycle length of L 1 =127, and the corresponding generator polynomial is: g(x )=x 7 +x 3 +1, the local secondary acquisition pattern is an m-sequence of length L 2 =7: {-1,-1,-1,1,1,-1,1}, modulation symbol rate R s = 1MBaud, oversampling multiple N samp = 5, let {s n } be the baseband oversampled waveform sequence for transmission, {w n } be the noise sequence, △f is the frequency offset of the transceiver, that is, the carrier frequency of the received signal minus the carrier frequency of the transmitted signal frequency is △f, △θ is the carrier phase difference between transceivers, T samp is the sampling time, and T samp =1/(R s N samp ), then the received baseband oversampled waveform sequence is {r n },n =1,2,..., r n =s n exp(j(2π△fnT samp +△θ))+w n , as shown in Figure 1, the specific steps of the synchronous capture method adopted in this embodiment are:
S1、设定捕获门限因子Gt和长度K=3的差分符号数组λ,Gt=0.052,该门限因子下,Es/N0=0dB时本方法的虚警概率为2×10-5,λ=[λ(1) λ(2) … λ(3)]=[4 50 444],其值是每级差分对应的符号数;S1. Set the capture threshold factor G t and the differential symbol array λ of length K=3, G t =0.052, under this threshold factor, when E s /N 0 =0dB, the false alarm probability of this method is 2×10 -5 , λ=[λ(1) λ(2) ... λ(3)]=[4 50 444], its value is the number of symbols corresponding to each level of difference;
S2、初始化滑动相关初始位置n,n=1;S2. Initialize the sliding related initial position n, n=1;
S3、对当前样点位置n的接收信号进行符号级差分解调,得到差分解调软信息dn;S3. Perform symbol-level differential demodulation on the received signal at the current sample point position n to obtain differential demodulation soft information d n ;
S4、判断当前位置n是否大于(L1-1)Nsamp,若是,则计算一级相关值,否则转S7,如图2所示,一级相关值计算包括:S4, judge whether the current position n is greater than (L 1 -1)N samp , if so, then calculate the first-level correlation value, otherwise turn to S7, as shown in Figure 2, the first-level correlation value calculation includes:
S41、当前样点位置n的符号级差分解调软信息dn与等间隔的前L1-1个差分解调软信息构成当前差分解调软信息序列D,间隔为Nsamp个采样点;S41. The symbol-level differential demodulation soft information d n of the current sample point position n and the first L 1 -1 differential demodulation soft information at equal intervals constitute the current differential demodulation soft information sequence D, The interval is N samp sampling points;
S42、当前差分解调软信息序列D与本地同步捕获序列共轭相乘求和再除以L1,得到当前样点位置n对应的一级相关值zn, S42, the current differential demodulation soft information sequence D and the local synchronous capture sequence Conjugate multiplication and summation and then divide by L 1 to obtain the first-order correlation value z n corresponding to the current sample point position n ,
S5、判断当前位置n是否大于(L1L2-1)Nsamp,若是,则计算二级相关值,否则转S7,如图3所示,二级相关值计算包括:S5, judging whether the current position n is greater than (L 1 L 2 -1)N samp , if so, then calculate the secondary correlation value, otherwise turn to S7, as shown in Figure 3, the secondary correlation value calculation includes:
S51、当前样点位置n的一级相关值zn与等间隔的前L2-1个一级相关值构成当前二级捕获图案间隔为L1Nsamp个采样点;S51. The first-order correlation value z n of the current sample point position n and the first L 2 -1 first-order correlation values at equal intervals constitute the current second-order capture pattern The interval is L 1 N samp sampling points;
S52、当前二级捕获图案Z与本地二级捕获图案共轭相乘求和再除以L2,得到当前样点位置n对应的二级相关值cn, S52, the current secondary capture pattern Z and the local secondary capture pattern Conjugate multiplication and summation and then divide by L 2 to get the secondary correlation value c n corresponding to the current sample point position n ,
S6、判断二级相关值cn的模方是否大于门限VT,若是,转S8;否则,转S7;其中,门限 为接收信号平均功率的估计值,计算方法为:S6. Determine whether the modulus of the secondary correlation value c n is greater than the threshold V T , if so, go to S8; otherwise, go to S7; wherein, the threshold is the estimated value of the average power of the received signal, calculated as:
从当前样点位置n向前取(L1L2-1)Nsamp个样点的接收信号波形,对其模方值求平均得到信号平均功率 Take the received signal waveform of (L 1 L 2 -1) N samp samples forward from the current sample point position n, and average its modulus value to obtain the average power of the signal
S7、滑动到下一位置,n=n+1,转S3;S7, slide to the next position, n=n+1, turn to S3;
S8、时间同步捕获位置定位,如图4所示,包括:S8, time synchronous capture location positioning, as shown in Figure 4, including:
S81、计算当前样点位置n之后的Nsamp-1个样点位置对应的符号级差分解调软信息,得到 S81. Calculate the symbol-level differential demodulation soft information corresponding to N samp -1 sample point positions after the current sample point position n, and obtain
S82、计算样点位置n+1,n+2,…,n+Nsamp-1对应的一级相关值其中,zn+m的计算方法同S4;S82. Calculate the first-order correlation value corresponding to sample point positions n+1, n+2,..., n+N samp -1 in, The calculation method of z n+m is the same as S4;
S83、计算样点位置n+1,n+2,…,n+Nsamp-1对应的二级相关值其中,cn+m的计算方法同S5;S83. Calculate the secondary correlation value corresponding to sample point positions n+1, n+2,..., n+N samp -1 in, The calculation method of c n+m is the same as S5;
S84、在Nsamp个二级相关值的模方中找出最大值对应的样点位置,作为准确时间同步捕获位置,时间同步捕获完成;S84, the modulus of N samp secondary correlation values Find the sample point position corresponding to the maximum value in , as the accurate time synchronization capture position, and the time synchronization capture is completed;
S9、频率同步:根据时间同步捕获位置对应的接收同步信号波形R与本地同步信号波形S进行多级频偏估计和补偿,如图5所示,包括:S9. Frequency synchronization: perform multi-level frequency offset estimation and compensation according to the received synchronization signal waveform R corresponding to the time synchronization capture position and the local synchronization signal waveform S, as shown in Figure 5, including:
S91、初始化频偏估计级数k=1;S91. Initialize frequency offset estimation series k=1;
S92、校正波形:根据S8得到的准确时间同步捕获位置,将时间同步捕获位置对应的接收同步信号波形与本地同步信号波形共轭相乘,得到校正波形其中 S92, correction waveform: according to the accurate time synchronization capture position obtained in S8, receive the synchronization signal waveform corresponding to the time synchronization capture position Synchronize with the local signal waveform Conjugate multiplication to get the corrected waveform in
S93、计算校正波形分段均值:按照当前频偏估计级数k对应的差分符号数λ(k)对校正波形分段,每段包含λ(k)个符号,共个分段,其中表示向下取整,并对分段后的校正波形求均值,得到的U个均值构成了校正波形分段均值序列其中, S93. Calculating the segmented mean value of the corrected waveform: Segment the corrected waveform according to the number of differential symbols λ(k) corresponding to the current frequency offset estimation series k, and each segment contains λ(k) symbols, for a total of segments, of which Indicates rounding down, and calculating the mean value of the segmented correction waveform, and the obtained U mean values constitute the correction waveform segment mean value sequence in,
S94、计算第k级相位差:根据MA相邻值共轭相乘的均值,计算第k级相位差△θk, S94. Calculating the k-th stage phase difference: calculate the k-th stage phase difference △θ k according to the mean value of the conjugate multiplication of adjacent values of MA ,
S95、估计第k级频偏:根据△θk,计算第k级频偏估计值 S95. Estimating the frequency offset of the kth level: according to △θ k , calculate the estimated value of the frequency offset of the kth level
S96、补偿频偏:对接收同步信号波形进行第k次频偏补偿,得到频偏补偿后的接收同步信号波形其中n=1,2,...,L1L2Nsamp,更新接收同步信号波形R,令R=R′;S96. Compensate frequency offset: for receiving synchronous signal waveform Perform frequency offset compensation for the kth time to obtain the received synchronization signal waveform after frequency offset compensation in n=1,2,...,L 1 L 2 N samp , update the received synchronization signal waveform R, let R=R′;
S97、判断当前差分级数k是否大于等于总级数K:如果k≥K,转S99;否则,转S98;S97. Judging whether the current differential grade k is greater than or equal to the total grade K: if k≥K, go to S99; otherwise, go to S98;
S98、更新频偏估计级数k=k+1;S98. Update frequency offset estimation series k=k+1;
S99、累加多级频偏估计结果作为最终频偏估计结果 S99. Accumulate multi-level frequency offset estimation results as the final frequency offset estimation result
图6为本实施方式与传统基于时域滑动相关的同步串行捕获方法在AWGN信道下的捕获概率和虚警概率性能比较,其中,横坐标为归一化符号噪声比Es/N0,纵坐标为捕获概率Pd和虚警概率Pf;调制方法采用MSK,调制符号速率Rs为1MBaud,过采倍数Nsamp为5,两种方法的本地同步捕获序列均为长度L1=127的m序列,设置的相关门限对应的虚警概率相同,均为2×10-5;传统方法的本地捕获图案为重复的L2=7个同步捕获序列,L2个同步捕获序列的相关值都大于门限才认为捕获到,其中,本发明中本地二级捕获图案选取长度为L2=7的m序列:{-1,-1,-1,1,1,-1,1},其中,1表示本地同步捕获序列,-1表示本地同步捕获序列的反相序列,差分解调方式采用一比特差分解调,门限因子Gt为0.052;初始频偏选择△f=3.5kHz和△f=100kHz两种情况;仿真结果表明,在初始频偏为3.5kHz时,传统方法由于受频偏的影响很大,在Es/N0≤-2dB时无法捕获到同步信号,在Es/N0=1.25dB时达到95%的捕获概率,而本发明的适用于高动态环境的同步捕获方法可以在Es/N0为-2.5dB时达到95%的正确捕获概率,在捕获概率为95%时优于传统方法约3.75dB;因为序列长度L1=127,符号速率Rs为1MBaud,传统方法的频偏估计范围为±3.94kHz,在大于该频偏范围的动态环境,传统方法已经无法捕获到同步信号,而本发明方法即使在初始频偏为100kHz时,当Es/N0≥-1.5dB时依然能够达到95%的正确同步捕获概率,同步捕获性能远远优于传统的相关同步捕获方法;Fig. 6 is a performance comparison between this embodiment and the traditional synchronous serial acquisition method based on time-domain sliding correlation in the AWGN channel, where the abscissa is the normalized symbol-to-noise ratio E s /N 0 , The ordinate is the acquisition probability P d and the false alarm probability P f ; the modulation method adopts MSK, the modulation symbol rate R s is 1MBaud, the oversampling multiple N samp is 5, and the local synchronous acquisition sequences of the two methods are of length L 1 =127 m sequence, the false alarm probability corresponding to the set correlation threshold is the same, both are 2×10 -5 ; the local capture pattern of the traditional method is repeated L 2 =7 synchronization capture sequences, and the correlation values of L 2 synchronization capture sequences are greater than the threshold Only then is that captured, where, In the present invention, the local secondary capture pattern selects an m-sequence whose length is L 2 =7: {-1,-1,-1,1,1,-1,1}, wherein, 1 represents a local synchronous capture sequence, and -1 Represents the reverse phase sequence of the local synchronous capture sequence, the differential demodulation method adopts one-bit differential demodulation, and the threshold factor G t is 0.052; the initial frequency offset is selected from two cases of △f=3.5kHz and △f=100kHz; the simulation results show that, When the initial frequency offset is 3.5kHz, the traditional method is greatly affected by the frequency offset, and cannot capture the synchronization signal when E s /N 0 ≤ -2dB, and reaches 95% when E s /N 0 = 1.25dB acquisition probability, and the synchronous acquisition method suitable for high dynamic environment of the present invention can reach 95% correct acquisition probability when E s /N 0 is-2.5dB, when the acquisition probability is 95%, it is better than the traditional method by about 3.75dB ; Because the sequence length L 1 =127, the symbol rate R s is 1MBaud, the frequency offset estimation range of the traditional method is ± 3.94kHz, in the dynamic environment greater than the frequency offset range, the traditional method has been unable to capture the synchronization signal, and the present invention Even when the initial frequency deviation is 100kHz, when E s /N 0 ≥ -1.5dB, the correct synchronization acquisition probability can still reach 95%, and the synchronization acquisition performance is far better than the traditional correlation synchronization acquisition method;
图7为本实施方式与传统基于时域滑动相关的同步串行捕获方法在AWGN信道下的频偏估计性能比较,仿真参数与图6的仿真参数设置相同,传统方法采用序列级相位差分频偏估计方法,其理论频偏估计范围为[-Rs/(2L1),Rs/(2L1)],即为[-3.94kHz,3.94kHz];而本发明中的采用多级相位差分频偏估计方法,差分符号数组λ=[λ(1) λ(2) … λ(3)]=[450 444],估计范围为[-Rs/(2λ(1)),Rs/(2λ(1))],λ(1)表示第一级的差分符号数,本实施方式的理论频偏估计范围为[-125kHz,125kHz];横坐标为Es/N0,纵坐标为频偏估计的均方根误差(Root Mean Square Error,RMSE);仿真结果表明,本发明方法的频偏估计性能远远优于传统方法的频偏估计性能,在同步捕获图案由7个127长的m序列构成时,传统方法无法估计3.8kHz以上频偏;而本发明中提出的适用于高动态环境的同步捕获方法可以估计120kHz的大范围频偏,并且频偏估计精度受初始频偏的影响很小,在初始频偏为3.5kHz和100kHz的情况下,频偏估计的RMSE几乎相同,而且距离克拉美-罗界(Cramer-Rao Lower Bound,CRLB)只有1dB的差距,而传统方法的频偏估计精度远远差于本发明实施方式;频偏估计的CRLB为Figure 7 is a comparison of frequency offset estimation performance between this embodiment and the traditional synchronous serial acquisition method based on time-domain sliding correlation in an AWGN channel. The simulation parameters are set the same as those in Figure 6, and the traditional method uses sequence-level phase difference to divide the frequency offset. Estimation method, its theoretical frequency offset estimation range is [-R s /(2L 1 ), R s /(2L 1 )], which is [-3.94kHz, 3.94kHz]; and the multi-level phase difference in the present invention Frequency offset estimation method, differential symbol array λ=[λ(1) λ(2) ... λ(3)]=[450 444], the estimation range is [-R s /(2λ(1)),R s /( 2λ(1))], λ(1) represents the number of differential symbols of the first stage, and the theoretical frequency offset estimation range of this embodiment is [-125kHz, 125kHz]; the abscissa is E s /N 0 , and the ordinate is the frequency The root mean square error (Root Mean Square Error, RMSE) of offset estimation; Simulation result shows, the frequency offset estimation performance of the inventive method is far better than the frequency offset estimation performance of traditional method, in synchronous acquisition pattern by 7 127 long When the m-sequence is formed, the traditional method cannot estimate the frequency offset above 3.8kHz; while the synchronization acquisition method suitable for high dynamic environments proposed in the present invention can estimate a large-scale frequency offset of 120kHz, and the frequency offset estimation accuracy is affected by the initial frequency offset In the case of initial frequency offset of 3.5kHz and 100kHz, the RMSE of frequency offset estimation is almost the same, and there is only a 1dB gap from the Cramer-Rao Lower Bound (CRLB), while the frequency of the traditional method The accuracy of bias estimation is far worse than that of the embodiment of the present invention; the CRLB of frequency offset estimation is
其中,s[x]表示x的标准差,M为用于频偏估计的符号数;因此在相同的同步序列长度和相同的虚警概率要求下,本发明方法比传统方法具有更优的同步捕获性能,并且可大大提高频偏估计范围和频偏估计精度,能够在高动态环境中很好地完成时间同步和频率同步,具有很强的应用价值。Wherein, s[x] represents the standard deviation of x, and M is the number of symbols used for frequency offset estimation; therefore, under the same synchronization sequence length and the same false alarm probability requirement, the inventive method has better synchronization than the traditional method Acquisition performance, and can greatly improve the frequency offset estimation range and frequency offset estimation accuracy, can well complete time synchronization and frequency synchronization in a high dynamic environment, has a strong application value.
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| CN111163032A (en) * | 2019-11-21 | 2020-05-15 | 北京航天科工世纪卫星科技有限公司 | Method for rapidly capturing weak signal under high dynamic condition |
| CN111123312B (en) * | 2019-12-13 | 2023-07-21 | 南京六九零二科技有限公司 | Satellite weak signal capturing method and system in high-dynamic low-signal-to-noise ratio environment |
| WO2022160328A1 (en) * | 2021-02-01 | 2022-08-04 | Huawei Technologies Co., Ltd. | A system for wireless synchronized capturing, and a smart device |
| CN112887252A (en) * | 2021-03-18 | 2021-06-01 | 湖南国科微电子股份有限公司 | Navigation system signal synchronization method, device, equipment and medium |
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| CN101667987B (en) * | 2009-09-23 | 2012-01-11 | 电子科技大学 | Synchronization acquisition method based on PN sequence signal to noise ratio in FFH system |
| JP5477480B2 (en) * | 2010-03-29 | 2014-04-23 | 株式会社村田製作所 | Method and apparatus for accurate time synchronization in a wireless communication system |
| US20160043824A1 (en) * | 2014-08-11 | 2016-02-11 | Qualcomm Incorporated | Segmented data-aided frequency estimation in td-scdma |
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