CN116405359A - LoRa concurrent communication demodulation method and system based on frequency domain interference iterative cancellation - Google Patents

LoRa concurrent communication demodulation method and system based on frequency domain interference iterative cancellation Download PDF

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CN116405359A
CN116405359A CN202310187039.8A CN202310187039A CN116405359A CN 116405359 A CN116405359 A CN 116405359A CN 202310187039 A CN202310187039 A CN 202310187039A CN 116405359 A CN116405359 A CN 116405359A
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frequency domain
frequency
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chirp
lora
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房鼎益
胡王倩
徐丹
陈少杰
潘超逸
陈晓江
牛进平
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Northwest 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
    • H04L27/2647Arrangements specific to the receiver only
    • H04L27/2649Demodulators
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006Arrangements for removing intersymbol interference
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006Arrangements for removing intersymbol interference
    • H04L25/03159Arrangements for removing intersymbol interference operating in the frequency domain
    • 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
    • H04L27/2655Synchronisation arrangements
    • H04L27/2689Link with other circuits, i.e. special connections between synchronisation arrangements and other circuits for achieving synchronisation
    • H04L27/2691Link with other circuits, i.e. special connections between synchronisation arrangements and other circuits for achieving synchronisation involving interference determination or cancellation
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

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Abstract

The invention discloses a LoRa concurrent communication demodulation method and system based on frequency domain interference iterative elimination, comprising signal transmission; taking the chirp signal as a processing unit, and transmitting the signal by a node end in a standard LoRa data packet frame format; receiving signals; the gateway receives the LoRa signal in a conflict state by taking the frequency domain characteristics of the pilot frequency part as a basis, wherein the conflict state is that a plurality of data packets are transmitted in the same time period; preprocessing signals; performing low-pass filtering and signal synchronization on the LoRa signal in the collision state, dividing the LoRa signal by taking the chirp length as a step length to obtain a plurality of chirp symbols, and performing carrier frequency offset correction on the chirp symbols; demodulating conflict signals; and D, carrying out frequency domain interference estimation and elimination on the chirp symbol preprocessed in the step three, and completing symbol demodulation. The demodulation method provided by the invention can complete demodulation of the conflict signal under the condition that the signal strength is far lower than the noise strength under the condition that the stronger robustness exists under the condition of low signal-to-noise ratio.

Description

一种基于频域干扰迭代消除的LoRa并发通信解调方法及系统A LoRa concurrent communication demodulation method and system based on iterative elimination of frequency domain interference

技术领域technical field

本发明属于通信领域,具体涉及一种基于频域干扰迭代消除的LoRa并发通信解调方法及系统。The invention belongs to the field of communication, and in particular relates to a LoRa concurrent communication demodulation method and system based on frequency domain interference iterative elimination.

背景技术Background technique

LoRa基于线性扩频调制技术,其调制的每一个信号即chirp,是频率线性增大(upchirp)或减小(downchirp)的sin波。在频带范围内(-BW/2,BW/2)chirp的频率从初始频率f0开始线性上升,直至bw/2,然后回到频带下边界-bw/2,从而扫过整个带宽。不同chirp对应不同的起始频率,共具有2^SF种。如图1(a)与图1(b)所示,分别表示了两种起始频率不同的up-chirp的时频图。从图中可以看到信号的频率在一定区间内均为逐渐增大的状态。如图1(c)所示,为标准的down-chirp的时频图。从图中可以看出,信号的频率随着时间的变化为逐渐减小的状态。解调时对原始chirp进行脉冲压缩得到起始频率,由于upchirp和downchirp存在着共轭的关系,因此此处可以直接使用upchirp与标准的downchirp相乘,并做傅里叶变换,得到其在这一区间的频率能量峰值。能量峰值所对应的频率即为其初始频率从而进行解调。LoRa is based on linear spread spectrum modulation technology, and each signal it modulates, namely chirp, is a sin wave whose frequency linearly increases (upchirp) or decreases (downchirp). Within the frequency band (-BW/2, BW/2) the frequency of the chirp rises linearly from the initial frequency f 0 to bw/2, and then returns to the lower boundary of the frequency band -bw/2, thereby sweeping the entire bandwidth. Different chirps correspond to different starting frequencies, and there are 2^SF types in total. As shown in Figure 1(a) and Figure 1(b), the time-frequency diagrams of two up-chirps with different starting frequencies are respectively shown. It can be seen from the figure that the frequency of the signal is gradually increasing within a certain interval. As shown in Figure 1(c), it is a time-frequency diagram of a standard down-chirp. It can be seen from the figure that the frequency of the signal gradually decreases with time. During demodulation, pulse compression is performed on the original chirp to obtain the starting frequency. Since there is a conjugate relationship between upchirp and downchirp, here you can directly use upchirp to multiply the standard downchirp, and perform Fourier transform to obtain its Frequency energy peak value of an interval. The frequency corresponding to the energy peak is its initial frequency for demodulation.

然而随着LoRa节点的大量部署,数千个LoRa节点连接到一个LoRa网关。聚合网络结构带来的严重的数据包冲突,导致大量数据包丢失和吞吐量下降。在无线传输技术上,冲突问题的处理方式分为冲突避免和冲突解决。However, with the massive deployment of LoRa nodes, thousands of LoRa nodes are connected to one LoRa gateway. Severe packet collisions caused by the aggregated network structure lead to massive packet loss and reduced throughput. In the wireless transmission technology, the processing method of the conflict problem is divided into conflict avoidance and conflict resolution.

在冲突避免方面,LoRa使用多种PHY技术来并行传输多个LoRa节点,可以使用不同的无线电参数(例如,信道、扩展因子等)配置LoRa节点以减轻冲突,但这需要不同运营商和服务提供商之间的合作,且LoRa网关最多只能支持8个LoRa节点同时传输。但是由于LoRa信号多在低于底噪的环境下进行传输,因此难以完成基于信号的信道监听从而导致冲突避免失败。同时信道监听需要节点付出大量的算力和能量消耗,从而缩短LoRa节点的工作寿命。受硬件能力和电源的限制,LoRa节点通常采用简单的基于Aloha的MAC来避免冲突。根据协议的规范,LoRa节点可以在不进行信道检测的情况下传输数据包。当LoRa网关由于冲突而无法解码从节点发送的一个数据包时,该数据包将在随机退避时间后重新传输,而退避重传则进一步加剧LoRa网络中的冲突问题。同时也带来了节点因多次发送而造成的不必要的能量浪费。因此我们的更为理想状态是节点在任何想发送的时候都可以进行数据包发送,由网关对冲突的信号包进行解码。In terms of collision avoidance, LoRa uses multiple PHY technologies to transmit multiple LoRa nodes in parallel, and LoRa nodes can be configured with different radio parameters (eg, channel, spreading factor, etc.) to mitigate collisions, but this requires different operators and service providers The cooperation between suppliers, and the LoRa gateway can only support up to 8 LoRa nodes to transmit at the same time. However, since LoRa signals are mostly transmitted in an environment lower than the noise floor, it is difficult to complete signal-based channel monitoring, resulting in failure to avoid conflicts. At the same time, channel monitoring requires nodes to pay a lot of computing power and energy consumption, thereby shortening the working life of LoRa nodes. Limited by hardware capability and power supply, LoRa nodes usually adopt simple Aloha-based MAC to avoid collisions. According to the specification of the protocol, LoRa nodes can transmit data packets without channel detection. When the LoRa gateway is unable to decode one packet sent from the slave node due to collision, the packet will be retransmitted after a random backoff time, and the backoff retransmission further exacerbates the collision problem in the LoRa network. At the same time, it also brings unnecessary energy waste caused by nodes sending multiple times. Therefore, our more ideal state is that the node can send data packets whenever it wants to send, and the gateway will decode the conflicting signal packets.

在冲突解码方面目前也有了一些相关工作,例如Choir,根据每个LoRa节点的不同小数位硬件频率偏移对冲突帧进行分类。但在实际应用中,由于干扰和噪声的影响,很难准确提取硬件引起的载波频偏,同时随着节点数量的增加小数位硬件频率偏移也会不可避免的发生重复,从而导致分类失效。而另一工作mLoRa则根据设计的前导码检测策略推导出两个冲突包之间的时间偏移,然后获得chirp级无冲突样本和相应的频率,根据这些无冲突频率和样本,利用前导码部分的chirp幅度和chirp的线性扩频调制方式,对冲突信号的时域样本进行预估和重建,在冲突信号的时域减去预估和重建后的冲突信号的时域样本,通过重复估计和减法运算,对一个样本中的冲突数据包进行解码。但由于LoRa信号多在低信噪比下进行传输,而这一方法在SNR降低的情况下,解码准确率会大幅度降低,限制了LoRa的通信性能。CoLaRa利用数据包时间偏移来消除冲突。将接收到的信号切割成一系列接收窗口,每个窗口的长度等于啁啾。利用不对齐的窗口将符号进行分割。然后,对于每个窗口中的信号,根据频域峰值的高度与段的长度成正比进行冲突解码。但该方法在SNR由0dB降低至-15dB的过程中,系统吞吐降低为原来的一半,性能大幅度降低。There are also some related works in conflict decoding, such as Choir, which classifies conflict frames according to different decimal hardware frequency offsets of each LoRa node. However, in practical applications, due to the influence of interference and noise, it is difficult to accurately extract the carrier frequency offset caused by hardware. At the same time, as the number of nodes increases, the fractional hardware frequency offset will inevitably repeat, resulting in classification failure. Another work, mLoRa, deduces the time offset between two conflicting packets according to the designed preamble detection strategy, and then obtains chirp-level non-collision samples and corresponding frequencies. According to these non-conflict frequencies and samples, the preamble part is used The chirp amplitude and chirp linear spread spectrum modulation method are used to estimate and reconstruct the time-domain samples of the conflicting signal, and the time-domain samples of the estimated and reconstructed conflicting signal are subtracted from the time domain of the conflicting signal, through repeated estimation and Subtractive operation to decode colliding packets in one sample. However, since LoRa signals are mostly transmitted under low signal-to-noise ratio, and this method will greatly reduce the decoding accuracy when the SNR is reduced, which limits the communication performance of LoRa. CoLaRa utilizes packet time offsets to eliminate collisions. Cut the received signal into a series of receive windows, each of length equal to the chirp. Split symbols with misaligned windows. Then, for the signal in each window, collision decoding is performed according to the height of the peak in the frequency domain which is proportional to the length of the segment. However, in the process of reducing the SNR from 0dB to -15dB in this method, the system throughput is reduced to half of the original, and the performance is greatly reduced.

发明内容Contents of the invention

本发明给出了一种基于频域干扰迭代消除的LoRa并发通信解调方法及系统,能够在SNR<0的情况下,对冲突的LoRa信号进行解调;该方法结合了滑动窗口检测,利用其脉冲压缩后的接收信号与先验信号的频域相关性分析,即使LoRa信号的强度远低于噪声强度,也能保证准确的数据包检测。The present invention provides a LoRa concurrent communication demodulation method and system based on iterative elimination of frequency domain interference, which can demodulate conflicting LoRa signals in the case of SNR<0; the method combines sliding window detection and utilizes The frequency-domain correlation analysis of the received signal after pulse compression and the prior signal can ensure accurate data packet detection even if the strength of the LoRa signal is much lower than the noise strength.

为了实现上述任务,本发明采用以下技术方案,包括:In order to achieve the above tasks, the present invention adopts the following technical solutions, including:

一种基于频域干扰迭代消除的LoRa并发通信解调方法,按照以下步骤执行:A LoRa concurrent communication demodulation method based on iterative elimination of frequency domain interference is performed according to the following steps:

步骤一:信号发送;Step 1: Signal sending;

以chirp信号为处理单位,节点端以标准LoRa数据包帧格式发送信号;Taking the chirp signal as the processing unit, the node sends the signal in the standard LoRa packet frame format;

步骤二:信号接收;Step 2: Signal reception;

网关端以导频部分频域特征作为依据,对冲突状态下的LoRa信号进行接收,冲突状态即为多个数据包在同一时间段进行传输;The gateway side uses the frequency domain characteristics of the pilot part as a basis to receive the LoRa signal in the conflict state. The conflict state means that multiple data packets are transmitted at the same time period;

步骤三:信号预处理;Step 3: Signal preprocessing;

对冲突状态下的LoRa信号进行进行低通滤波和信号同步,以chirp长度为步长进行分割得到多个chirp符号,对chirp符号进行载波频率偏移校正;Low-pass filtering and signal synchronization are performed on the LoRa signal in the conflict state, and multiple chirp symbols are obtained by dividing with the chirp length as the step size, and carrier frequency offset correction is performed on the chirp symbols;

步骤四:冲突信号解调;Step 4: demodulation of conflicting signals;

对步骤三预处理后的chirp符号进行频域干扰预估并消除,完成符号解调。Perform frequency domain interference estimation and elimination on the chirp symbols preprocessed in step 3, and complete symbol demodulation.

可选的,所述的步骤四中,频域干扰进行预估包括获取频域峰值频点和频域峰值高度;Optionally, in step 4, the estimation of frequency domain interference includes obtaining frequency domain peak frequency points and frequency domain peak heights;

其中,频域峰值频点的获取包括:Among them, the acquisition of frequency domain peak frequency points includes:

Figure SMS_1
Figure SMS_1

其中,f′A1-1,f′A1-2为chirp符号A1对chirp符号B1所产生的干扰的频域峰值频点,Hz;fA1-1,fA1-2为chirp符号A1的频域峰值频点,Hz;BW为频带宽度,Hz;t1_2为时间窗口偏移量,s;T为chirp符号完整的时间长度,s;Among them, f' A1-1 , f' A1-2 is the frequency domain peak frequency point of the interference generated by chirp symbol A1 to chirp symbol B1, Hz; f A1-1 , f A1-2 is the frequency domain of chirp symbol A1 Peak frequency point, Hz; BW is the frequency bandwidth, Hz; t 1_2 is the time window offset, s; T is the complete time length of the chirp symbol, s;

频域峰值高度的获取包括:The acquisition of peak height in frequency domain includes:

Figure SMS_2
时:when
Figure SMS_2
hour:

Figure SMS_3
Figure SMS_3

Figure SMS_4
时:when
Figure SMS_4
hour:

Figure SMS_5
Figure SMS_5

其中,h′A1-1,h′A1-2为chirp符号A1对chirp符号B1所产生的干扰的频域峰值高度;hA1-1,hA1-2为chirp符号A1的频域峰值高度,Hz;h为chirp符号频域完整的峰值能量高度,Hz。Among them, h'A1-1 , h'A1-2 is the frequency domain peak height of the interference generated by chirp symbol A1 to chirp symbol B1; hA1-1 , hA1-2 is the frequency domain peak height of chirp symbol A1, Hz; h is the complete peak energy height of the chirp symbol in frequency domain, Hz.

可选的,所述的步骤四中,频域干扰预估后,符号解调过程包括:Optionally, in step 4, after frequency domain interference estimation, the symbol demodulation process includes:

在频域中将估计所得的频域干扰(f′A1-1,h′A1-1)、(f′A1-2,h′A1-2)进行消除;Eliminate the estimated frequency domain interference (f' A1-1 , h' A1-1 ), (f' A1-2 , h' A1-2 ) in the frequency domain;

在消除干扰位置后的频域,找到频域峰值最高处所在频点f,In the frequency domain after eliminating the interference position, find the frequency point f where the frequency domain peak is the highest,

Figure SMS_6
时:when
Figure SMS_6
hour:

Figure SMS_7
Figure SMS_7

Figure SMS_8
时:when
Figure SMS_8
hour:

Figure SMS_9
Figure SMS_9

其中:f为消除干扰后chirp符号B1的频域中峰值最高处所在频点,Hz;BW为频带宽度,Hz;f0-B为chirp符号B1的起始频率,Hz;找到chirp符号B1的起始频率,即完成chirp符号的解调。Among them: f is the frequency point of the highest peak in the frequency domain of the chirp symbol B1 after the interference is eliminated, Hz; BW is the frequency bandwidth, Hz; f 0-B is the starting frequency of the chirp symbol B1, Hz; find the frequency of the chirp symbol B1 The starting frequency is to complete the demodulation of chirp symbols.

可选的,所述的步骤三中,载波频率偏移进行校正的具体过程如下式所示;Optionally, in the third step, the specific process of correcting the carrier frequency offset is shown in the following formula;

Figure SMS_10
Figure SMS_10

其中:S′为载波频率偏移校正后的chirp符号,Schirp为原始chirp符号,f0为原始chirp符号的起始频率,Hz,fcfo为载波频率偏移频率,Hz;k为频率变化率,Hz/s;t为时间,s;j为虚部信号。Among them: S′ is the chirp symbol after carrier frequency offset correction, S chirp is the original chirp symbol, f 0 is the starting frequency of the original chirp symbol, Hz, f cfo is the carrier frequency offset frequency, Hz; k is the frequency change Rate, Hz/s; t is time, s; j is imaginary part signal.

可选的,步骤三中,所述的低通滤波采用IIR低通滤波器进行。Optionally, in step 3, the low-pass filtering is performed using an IIR low-pass filter.

可选的,步骤三中,将低通滤波后的LoRa信号的频域能量进行脉冲压缩,利用滑动窗口找到脉冲压缩后的能量最大值位置即为chirp信号的有效载荷的起始位置,实现信号同步;利用10个downchirps大小来进行滑动窗口;Optionally, in step 3, perform pulse compression on the frequency domain energy of the LoRa signal after the low-pass filtering, use the sliding window to find the energy maximum position after pulse compression, which is the starting position of the payload of the chirp signal, and realize the signal Synchronization; use 10 downchirps for sliding windows;

使用滑动窗口对低通滤波后的LoRa信号进行信号同步,并依据时间单位对低通滤波后的LoRa信号中的Payload信号进行分割处理。Use the sliding window to perform signal synchronization on the low-pass filtered LoRa signal, and segment the Payload signal in the low-pass filtered LoRa signal according to the time unit.

一种基于频域干扰迭代消除的LoRa并发通信解调系统,包括:A LoRa concurrent communication demodulation system based on iterative elimination of frequency domain interference, including:

信号发送模块,以chirp信号为处理单位,节点端以标准LoRa数据包帧格式发送信号;The signal sending module takes the chirp signal as the processing unit, and the node sends the signal in the standard LoRa packet frame format;

信号接收模块,网关端以导频部分频域特征作为依据,对冲突状态下的LoRa信号进行接收,冲突状态即为多个数据包在同一时间段进行传输;The signal receiving module, the gateway side uses the frequency domain characteristics of the pilot part as a basis to receive the LoRa signal in the conflict state. The conflict state means that multiple data packets are transmitted at the same time period;

信号预处理模块,对冲突状态下的LoRa信号进行进行低通滤波和信号同步,以chirp长度为步长进行分割得到多个chirp符号,对chirp符号进行载波频率偏移校正;The signal preprocessing module performs low-pass filtering and signal synchronization on the LoRa signal in the conflict state, divides the chirp length into multiple chirp symbols, and corrects the carrier frequency offset of the chirp symbols;

冲突信号解调模块,对步骤三预处理后的chirp符号进行频域干扰预估并消除,完成符号解调。The conflicting signal demodulation module performs frequency domain interference estimation and elimination on the chirp symbols preprocessed in step 3, and completes symbol demodulation.

可选的,所述的冲突信号解调模块中,频域干扰进行预估包括获取频域峰值频点和频域峰值高度;Optionally, in the conflicting signal demodulation module, the frequency domain interference estimation includes obtaining frequency domain peak frequency points and frequency domain peak heights;

其中,频域峰值频点的获取包括:Among them, the acquisition of frequency domain peak frequency points includes:

Figure SMS_11
Figure SMS_11

其中,f′A1-1,f′A1-2为chirp符号A1对chirp符号B1所产生的干扰的频域峰值频点,Hz;fA1-1,fA1-2为chirp符号A1的频域峰值频点,Hz;BW为频带宽度,Hz;t1_2为时间窗口偏移量,s;T为chirp符号完整的时间长度,s;Among them, f' A1-1 , f' A1-2 is the frequency domain peak frequency point of the interference generated by chirp symbol A1 to chirp symbol B1, Hz; f A1-1 , f A1-2 is the frequency domain of chirp symbol A1 Peak frequency point, Hz; BW is the frequency bandwidth, Hz; t 1_2 is the time window offset, s; T is the complete time length of the chirp symbol, s;

频域峰值高度的获取包括:The acquisition of peak height in frequency domain includes:

Figure SMS_12
时:when
Figure SMS_12
hour:

Figure SMS_13
Figure SMS_13

Figure SMS_14
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Figure SMS_14
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Figure SMS_15
Figure SMS_15

其中,h′A1-1,h′A1-2为chirp符号A1对chirp符号B1所产生的干扰的频域峰值高度;hA1-1,hA1-2为chirp符号A1的频域峰值高度,Hz;h为chirp符号频域完整的峰值能量高度,Hz。Among them, h'A1-1 , h'A1-2 is the frequency domain peak height of the interference generated by chirp symbol A1 to chirp symbol B1; hA1-1 , hA1-2 is the frequency domain peak height of chirp symbol A1, Hz; h is the complete peak energy height of the chirp symbol in frequency domain, Hz.

可选的,频域干扰预估后,符号解调过程包括:Optionally, after frequency domain interference estimation, the symbol demodulation process includes:

在频域中将估计所得的频域干扰(f′A1-1,h′A1-1)、(f′A1-2,h′A1-2)进行消除;Eliminate the estimated frequency domain interference (f' A1-1 , h' A1-1 ), (f' A1-2 , h' A1-2 ) in the frequency domain;

在消除干扰位置后的频域,找到频域峰值最高处所在频点f,In the frequency domain after eliminating the interference position, find the frequency point f where the frequency domain peak is the highest,

Figure SMS_16
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Figure SMS_16
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Figure SMS_17
Figure SMS_17

Figure SMS_18
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Figure SMS_18
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Figure SMS_19
Figure SMS_19

其中:f为消除干扰后chirp符号B1的频域中峰值最高处所在频点,Hz;BW为频带宽度,Hz;f0-B为chirp符号B1的起始频率,Hz;找到chirp符号B1的起始频率,即完成chirp符号的解调。Among them: f is the frequency point of the highest peak in the frequency domain of the chirp symbol B1 after the interference is eliminated, Hz; BW is the frequency bandwidth, Hz; f 0-B is the starting frequency of the chirp symbol B1, Hz; find the frequency of the chirp symbol B1 The starting frequency is to complete the demodulation of chirp symbols.

可选的,所述的信号预处理模块中,载波频率偏移进行校正的具体过程如下式所示;Optionally, in the signal preprocessing module, the specific process of correcting the carrier frequency offset is shown in the following formula;

Figure SMS_20
Figure SMS_20

其中:S′为载波频率偏移校正后的chirp符号,Schirp为原始chirp符号,f0为原始chirp符号的起始频率,Hz,fcfo为载波频率偏移频率,Hz;k为频率变化率,Hz/s;t为时间,s;j为虚部信号。Among them: S′ is the chirp symbol after carrier frequency offset correction, S chirp is the original chirp symbol, f 0 is the starting frequency of the original chirp symbol, Hz, f cfo is the carrier frequency offset frequency, Hz; k is the frequency change Rate, Hz/s; t is time, s; j is imaginary part signal.

本发明与现有技术相比具有以下特点:Compared with the prior art, the present invention has the following characteristics:

本发明将在原有LoRa的通信机制上提出并发通信时LoRa信号冲突解调的方法及系统。通过对LoRa信号冲突时的频域干扰进行迭代预估和消除,完成冲突状态下的LoRa信号解调。本冲突解调方法不需要额外的硬件模块。与此同时,LoRa信号冲突解调的方法还可以信道参数优化及其他方案一起使用,进一步提升网络性能。通过对频域干扰进行迭代预估并进行消除从而实现冲突信号解调这一思路在以前的工作中从未考虑过。相较于其他方法基于信号时域特征或信号能量特征的冲突信号解调,本方法在低信噪比下有着更强的鲁棒下,可以在信号强度远低于噪声强度的情况下,完成冲突信号的解调。The present invention will propose a method and system for LoRa signal conflict demodulation during concurrent communication based on the original LoRa communication mechanism. By iteratively estimating and eliminating the frequency domain interference when the LoRa signal collides, the LoRa signal demodulation in the conflict state is completed. The conflict demodulation method does not require additional hardware modules. At the same time, the LoRa signal conflict demodulation method can also be used together with channel parameter optimization and other solutions to further improve network performance. The idea of demodulating conflicting signals by iteratively estimating and canceling interference in the frequency domain has never been considered in previous work. Compared with other methods for demodulating conflicting signals based on signal time-domain characteristics or signal energy characteristics, this method has stronger robustness at low SNR, and can be completed when the signal strength is much lower than the noise strength. Demodulation of conflicting signals.

附图说明Description of drawings

附图是用来提供对本公开的进一步理解,并且构成说明书的一部分,与下面的具体实施方式一起用于解释本公开,但并不构成对本公开的限制。在附图中:The accompanying drawings are used to provide a further understanding of the present disclosure, and constitute a part of the description, together with the following specific embodiments, are used to explain the present disclosure, but do not constitute a limitation to the present disclosure. In the attached picture:

图1为三种不同chirp的时频图,(a)起始频率为-250kHz的up-chirp;(b)起始频率为-125kHz的up-chirp;(c)标准的down-chirp;Figure 1 is the time-frequency diagram of three different chirps, (a) up-chirp with a starting frequency of -250kHz; (b) up-chirp with a starting frequency of -125kHz; (c) standard down-chirp;

图2为正常状态下,LoRa数据包的时频图;Figure 2 is a time-frequency diagram of LoRa data packets under normal conditions;

图3为冲突状态下,LoRa数据包的时频图;Figure 3 is a time-frequency diagram of the LoRa data packet in the conflict state;

图4为SF=8时,在不同信噪比下的冲突信号解调准确率。Fig. 4 shows the demodulation accuracy of conflicting signals under different signal-to-noise ratios when SF=8.

具体实施方式Detailed ways

以下将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述。显然,以下所描述的实施例仅是本发明的一部分实施例,并非全部实施例,也并未对本发明做任何形式上的限制,凡是利用本实施例的技术方案,包括对本实施例做了简单的变化,均属于本发明保护的范围。The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the drawings in the embodiments of the present invention. Obviously, the embodiments described below are only a part of the embodiments of the present invention, not all embodiments, and do not limit the present invention in any form. All changes belong to the protection scope of the present invention.

标准LoRa信号数据包包含以下几个部分:用于信号检测的导频即Preamble、用于信号同步的起始帧界定符Start Frame Delimiter(SFD)以及记录原始传输信息的有效载荷数据部分Payload。The standard LoRa signal data packet includes the following parts: the pilot used for signal detection, that is, the Preamble, the start frame delimiter (SFD) used for signal synchronization, and the payload data part Payload that records the original transmission information.

有效载荷数据部分Payload由各个chirp信号组成,依据时间单位对Payload信号进行分割得到多个chirp信号;在信号发送阶段,不对发送信号进行更改,按照LoRaWAN规定的标准帧格式进行,使其保有原本的发送设置和通信协议,不与原有的通信协议发生冲突,保证本系统可以向原有LoRa通信系统进行兼容;The payload data part Payload is composed of various chirp signals, and the Payload signal is divided according to the time unit to obtain multiple chirp signals; in the signal sending stage, the sending signal is not changed, and it is carried out according to the standard frame format specified by LoRaWAN, so that it retains the original The sending settings and communication protocol do not conflict with the original communication protocol, ensuring that the system can be compatible with the original LoRa communication system;

随着LoRa节点的大量部署,数千个LoRa节点连接到一个LoRa网关。聚合网络结构带来的严重的数据包冲突,导致大量数据包丢失和吞吐量下降,基于此问题,提出了并发通信时冲突数据包的解调系统,为了进一步在低信噪比下完成LoRa并发传输冲突信号的解调,本发明提出了对冲突信号的频域干扰进行迭代预估并消除的方法,本发明能够在SNR<0的情况下,对冲突的LoRa信号进行解调;该方法结合了滑动窗口检测,利用其脉冲压缩后的接收信号与先验信号的频域相关性分析,即使LoRa信号的强度远低于噪声强度,也能保证准确的数据包检测。包括:With the massive deployment of LoRa nodes, thousands of LoRa nodes are connected to one LoRa gateway. The serious data packet collision caused by the aggregated network structure leads to a large amount of data packet loss and a decrease in throughput. Based on this problem, a demodulation system for conflicting data packets during concurrent communication is proposed. In order to further complete LoRa concurrent communication under low SNR For the demodulation of transmission conflicting signals, the present invention proposes a method for iteratively estimating and eliminating the frequency domain interference of conflicting signals, and the present invention can demodulate conflicting LoRa signals in the case of SNR<0; the method combines Sliding window detection is used, and the frequency domain correlation analysis between the received signal after pulse compression and the prior signal is used to ensure accurate packet detection even if the strength of the LoRa signal is much lower than the noise strength. include:

步骤一:节点(信号发送端)向网关(信号接收端)发送标准LoRaWAN帧格式的数据包。比如具体的,发送端根据通信环境,按照LoRaWAN协议选择合适的扩频因子SF、频带宽度BW,和导频chirp个数,不对节点端的信号发送进行更改和限制;Step 1: The node (signal sending end) sends a data packet in the standard LoRaWAN frame format to the gateway (signal receiving end). For example, according to the communication environment, the sending end selects the appropriate spreading factor SF, frequency bandwidth BW, and the number of pilot chirps according to the LoRaWAN protocol, and does not change or limit the signal transmission of the node end;

步骤二:信号接收。Step 2: Signal reception.

网关端以导频部分频域特征作为依据,对如图3所示的冲突状态下的LoRa信号进行接收,冲突状态即为多个数据包在同一时间段进行传输,如图2所示为正常传输状态下LoRa数据包的时频图,如图3所示为冲突状态下LoRa数据包的时频图;利用导频信号脉冲压缩后的频域特征与先验信号的频域特征进行相关性分析,若其相关程度高于噪声与先验信号的频域特征进行相关性分析的相关程度,即判定其为LoRa信号,对该数据包进行接收。Based on the frequency domain characteristics of the pilot part, the gateway side receives the LoRa signal in the conflict state as shown in Figure 3. The conflict state means that multiple data packets are transmitted at the same time period, as shown in Figure 2. The time-frequency diagram of the LoRa data packet in the transmission state, as shown in Figure 3, is the time-frequency diagram of the LoRa data packet in the conflict state; the frequency domain characteristics after the pulse compression of the pilot signal are used to correlate with the frequency domain characteristics of the prior signal Analysis, if the degree of correlation is higher than the degree of correlation analysis between the noise and the frequency domain characteristics of the prior signal, it is determined that it is a LoRa signal, and the data packet is received.

步骤三:对接收信号进行数据预处理。Step 3: Perform data preprocessing on the received signal.

对LoRa信号进行高频噪声滤除、信号分割即按照时间长度,分割得到各个chirp信号以及载波频率偏移校正;Perform high-frequency noise filtering and signal segmentation on the LoRa signal, that is, divide and obtain each chirp signal and carrier frequency offset correction according to the length of time;

在信号预处理阶段,使用IIR低通滤波器对信号进行滤波,以去除信号带宽外的高频噪声。使用滑动窗口进行信号同步和分割。载波频率偏移是由于收发机之间本地晶体振荡器之间不匹配和信号传输过程中的多普勒频移所产生的。而这种频率偏移会导致LoRa信号在脉冲压缩后的频点值偏移,从而影响解码结果。在信号预处理阶段需要对载波频率偏移进行校正,获得信号准确的原始频域特征。In the signal preprocessing stage, the signal is filtered using an IIR low-pass filter to remove high-frequency noise outside the signal bandwidth. Signal synchronization and segmentation using sliding windows. Carrier frequency offset is due to mismatch between local crystal oscillators between transceivers and Doppler shift during signal transmission. And this frequency offset will cause the frequency point value offset of the LoRa signal after pulse compression, thus affecting the decoding result. In the signal preprocessing stage, it is necessary to correct the carrier frequency offset to obtain the accurate original frequency domain characteristics of the signal.

在步骤三中需要对数据进行预处理操作。这一步骤中首先需要做好的是信号同步和准确截取问题,此处使用滑动窗口,在窗口内将信号与Down chirp相乘,将频域能量进行脉冲压缩,利用滑动窗口找到脉冲压缩后的能量最大值位置即为chirp信号有效载荷的起始位置,即实现信号的精准同步。之后根据chirp信号的时间长度,对各个chirp信号进行分割,最后根据导频的频率偏移值计算载波频率偏移频率fcfo,完成频率偏移校正。In step three, data preprocessing is required. The first thing that needs to be done in this step is signal synchronization and accurate interception. Here, a sliding window is used to multiply the signal and Down chirp in the window, and the energy in the frequency domain is pulse-compressed, and the sliding window is used to find the pulse-compressed The energy maximum position is the starting position of the chirp signal payload, which realizes precise signal synchronization. Afterwards, each chirp signal is divided according to the time length of the chirp signal, and finally the carrier frequency offset frequency f cfo is calculated according to the frequency offset value of the pilot to complete the frequency offset correction.

在步骤三中利用LoRa数据包导频部分进行载波频率偏移估计并进行频率校正,从而获得准确的频点值。。In step 3, the pilot part of the LoRa data packet is used to estimate the carrier frequency offset and perform frequency correction, so as to obtain an accurate frequency point value. .

Figure SMS_21
Figure SMS_21

其中:S′为载波频率偏移校正后的chirp符号,Schirp为原始chirp符号,f0为原始chirp符号的起始频率,Hz,fcfo为载波频率偏移频率,Hz;k为频率变化率,Hz/s;t为时间,s;j为虚部信号。Among them: S′ is the chirp symbol after carrier frequency offset correction, S chirp is the original chirp symbol, f 0 is the starting frequency of the original chirp symbol, Hz, f cfo is the carrier frequency offset frequency, Hz; k is the frequency change Rate, Hz/s; t is time, s; j is imaginary part signal.

步骤四:进行频域干扰预估并消除,完成解调。Step 4: Perform frequency domain interference estimation and elimination, and complete demodulation.

对步骤三预处理后的chirp信号,根据其信号同步之间的起始位置,计算信号到达时间差在chirp符号级所产生的时间窗口偏移t1_2For the chirp signal preprocessed in step 3, calculate the time window offset t 1_2 generated by the signal arrival time difference at the chirp symbol level according to the starting position between the signal synchronizations.

t1_2=p2-p1-N×T;t 1_2 = p 2 -p 1 -N×T;

其中,时间窗口偏移t1_2的取值范围为0到T之间,s;p2为第二个包的到达时刻,s;p1为第一个包的到达时刻,s;N为正整数,T为chirp符号的持续时间,s。Among them, the value range of the time window offset t 1_2 is between 0 and T, s; p 2 is the arrival time of the second packet, s; p 1 is the arrival time of the first packet, s; N is positive Integer, T is the duration of the chirp symbol, s.

接着对前一数据包A与后一数据包B发生冲突的首个chirp符号A1的干净段进行解调,其过程如下:干净段信号首先与对应长度的down chirp进行相乘,具体过程如下式所示;Then demodulate the clean segment of the first chirp symbol A1 where the previous data packet A collides with the subsequent data packet B. The process is as follows: the clean segment signal is first multiplied by the down chirp of the corresponding length. The specific process is as follows shown;

Figure SMS_22
Figure SMS_22

其中:Cu为upchirp,Cd为downchirp,fo为Cu的起始频率,Hz;k为频率变化率,Hz/s;BW为频带宽度,Hz;t为时间,取值范围为0到t1_2,s;fBw/2为Cd起始频率,Hz;j为虚部信号。Among them: Cu is upchirp, Cd is downchirp, f o is the initial frequency of Cu, Hz; k is the frequency change rate, Hz/s; BW is the frequency bandwidth, Hz; t is time, and the value range is from 0 to t 1_2 , s; fBw/2 is the starting frequency of Cd, Hz; j is the imaginary part signal.

接着对相乘后的信号做傅里叶变换得到起始频率f0Then perform Fourier transform on the multiplied signal to obtain the initial frequency f 0 .

再根据所得的前一数据包A与后一数据包B发生冲突的首个chirp符号A1的起始频率f0,预估符号A1的频域峰值频点和频域峰值高度。Then, according to the obtained starting frequency f 0 of the first chirp symbol A1 where the previous data packet A collides with the subsequent data packet B, the frequency domain peak frequency point and the frequency domain peak height of the symbol A1 are estimated.

Figure SMS_23
Figure SMS_23

Figure SMS_24
Figure SMS_24

其中,fA1-1,fA1-2为符号A1的频域峰值频点,Hz;hA1-1,hA1-2为其对应的峰值高度;f0为符号A1的起始频率,Hz;BW为频带宽度,Hz;h为chirp频域完整的峰值能量高度。Among them, f A1-1 and f A1-2 are the peak frequency points in the frequency domain of symbol A1, Hz; h A1-1 and h A1-2 are their corresponding peak heights; f 0 is the starting frequency of symbol A1, Hz ; BW is the frequency bandwidth, Hz; h is the complete peak energy height of the chirp frequency domain.

根据符号A1预估的频域峰值频点和频域峰值高度,计算其会对后一数据包B与A1冲突的chirp符号B1所产生的干扰所在的频域峰值频点和频域峰值高度。According to the frequency domain peak frequency point and frequency domain peak height estimated by symbol A1, calculate the frequency domain peak frequency point and frequency domain peak height of the interference generated by the chirp symbol B1 that will collide with A1 in the subsequent data packet B.

具体的,干扰所在的频域峰值频点计算过程如下:Specifically, the calculation process of the peak frequency point in the frequency domain where the interference is located is as follows:

Figure SMS_25
Figure SMS_25

其中,f′A1-1,f′A1-2为符号A1对B1所产生的干扰的频域峰值频点,Hz;fA1-1,fA1-2为符号A1的频域峰值频点,Hz;BW为频带宽度,Hz;t1_2为时间窗口偏移量,s;T为chirp符号完整的时间长度,s。Among them, f′ A1-1 and f′ A1-2 are the peak frequency points in the frequency domain of the interference generated by symbol A1 on B1, Hz; f A1-1 and f A1-2 are the peak frequency points in the frequency domain of symbol A1, Hz; BW is the frequency bandwidth, Hz; t 1_2 is the time window offset, s; T is the complete time length of the chirp symbol, s.

具体的,干扰所在的频域峰值高度计算过程如下:Specifically, the calculation process of the peak height in the frequency domain where the interference is located is as follows:

Figure SMS_26
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Figure SMS_26
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Figure SMS_27
Figure SMS_27

Figure SMS_28
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Figure SMS_28
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Figure SMS_29
Figure SMS_29

其中,h′A1-1,h′A1-2为符号A1对B1所产生的干扰的频域峰值高度;hA1-1,hA1-2为符号A1的频域峰值高度,Hz;h为chirp频域完整的峰值能量高度,Hz;t1_2为时间窗口偏移量,s;T为chirp符号完整的时间长度,s。Among them, h′ A1-1 and h′ A1-2 are the frequency-domain peak heights of the interference caused by symbol A1 to B1; h A1-1 and h A1-2 are the frequency-domain peak heights of symbol A1, in Hz; h is The peak energy height of the complete chirp frequency domain, Hz; t 1_2 is the time window offset, s; T is the complete time length of the chirp symbol, s.

接下里,首先对后一数据包B与A1冲突的chirp符号B1进行解调然后对相乘后的信号做傅里叶变换得到其频域特征,在频域中将估计所得的频域干扰(f′A1-1,h′A1-1)、(f′A1-2,h′A1-2)进行消除。Next, first demodulate the chirp symbol B1 that collides with A1 in the latter data packet B, then perform Fourier transform on the multiplied signal to obtain its frequency domain characteristics, and estimate the frequency domain interference obtained in the frequency domain (f' A1-1 , h' A1-1 ), (f' A1-2 , h' A1-2 ) are eliminated.

在消除干扰位置后的频域,找到频域峰值最高处所在频点f,In the frequency domain after eliminating the interference position, find the frequency point f where the frequency domain peak is the highest,

Figure SMS_30
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Figure SMS_30
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Figure SMS_31
Figure SMS_31

Figure SMS_32
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Figure SMS_32
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Figure SMS_33
Figure SMS_33

其中:f为消除干扰后chirp符号B1的频域中峰值最高处所在频点,Hz;BW为频带宽度,Hz;f0-B为chirp符号B1的起始频率,Hz;找到chirp符号B1的起始频率,即完成chirp符号的解调。Among them: f is the frequency point of the highest peak in the frequency domain of the chirp symbol B1 after the interference is eliminated, Hz; BW is the frequency bandwidth, Hz; f 0-B is the starting frequency of the chirp symbol B1, Hz; find the frequency of the chirp symbol B1 The starting frequency is to complete the demodulation of chirp symbols.

找到B1符号的起始频率,即完成冲突符号的解调。同样的,使用B1符号的起始频率重复步骤4.4、步骤4.5完成A2符号的解调。Find the start frequency of the B1 symbol, that is, complete the demodulation of the conflicting symbols. Similarly, use the starting frequency of the B1 symbol to repeat steps 4.4 and 4.5 to complete the demodulation of the A2 symbol.

以此类推,对冲突信号进行迭代频域干扰的预估和消除。By analogy, iterative estimation and elimination of interference in the frequency domain is performed on conflicting signals.

实施例一:Embodiment one:

本实施例提出一种基于分段神经网络解码的LoRa剪接通信方法,包括以下步骤:This embodiment proposes a LoRa splicing communication method based on segmentation neural network decoding, including the following steps:

步骤一:标准LoRa信号数据包包含以下几个部分:用于信号检测的导频即Preamble、用于信号同步的起始帧界定符Start Frame Delimiter(SFD)以及记录原始传输信息的有效载荷数据部分Payload。在信号发送阶段,本方法不对发送信号进行更改,按照LoRaWAN规定的标准帧格式进行,使其保有原本的发送设置和通信协议,不与原有的通信协议发生冲突,保证本系统可以向原有LoRa通信系统进行兼容。Step 1: The standard LoRa signal packet contains the following parts: the pilot used for signal detection, that is, the Preamble, the start frame delimiter (SFD) used for signal synchronization, and the payload data part that records the original transmission information Payload. In the signal sending stage, this method does not change the sending signal, and proceeds according to the standard frame format specified by LoRaWAN, so that it retains the original sending settings and communication protocol, does not conflict with the original communication protocol, and ensures that the system can communicate with the original LoRa communication systems are compatible.

步骤二:使用网关对冲突信号进行接收,网关端以导频部分频域特征作为依据,对冲突信号进行接收;利用导频信号脉冲压缩后的频域特征与先验信号的频域特征进行相关性分析,若其相关程度高于噪声与先验信号的频域特征进行相关性分析的相关程度,即判定其为LoRa信号,对该数据包进行接收。Step 2: Use the gateway to receive the conflicting signal, and the gateway receives the conflicting signal based on the frequency domain characteristics of the pilot part; use the frequency domain characteristics of the pilot signal after pulse compression to correlate with the frequency domain characteristics of the prior signal If the degree of correlation is higher than the degree of correlation analysis between the noise and the frequency domain characteristics of the prior signal, it is determined that it is a LoRa signal and the data packet is received.

步骤三:对接收信号进行数据预处理。对LoRa信号进行高频噪声滤除减轻带外噪声的影响、信号分割即按照时间长度,分割得到各个chirp信号以及对接收信号的载波频率偏移进行校正;。Step 3: Perform data preprocessing on the received signal. Perform high-frequency noise filtering on the LoRa signal to reduce the impact of out-of-band noise, and signal segmentation means dividing each chirp signal according to the length of time and correcting the carrier frequency offset of the received signal;

步骤3.1:首先,使用IIR低通滤波器对信号进行滤波,以去除高频噪声。Step 3.1: First, filter the signal using an IIR low-pass filter to remove high-frequency noise.

步骤3.2:信号同步和有效载荷分段。由于拼接机制保留了原始LoRa信号的前同步码,可以使用LoRa标准包检测来确保信号同步。即利用10个downchirps的窗口大小来实现滑动窗口,实现对信道的监测。然后,将通道的滑动窗口乘以2.25个upchirp,并进行傅里叶变换来同步信号。当信号的快速傅立叶变换峰值强度超过预设阈值时,信号同步完成,此时刻即为该信号的有效载荷部分的准确起始位置pi,此峰值频点位置即为载波频率偏移频率fcfo。根据信号的长度,自有效载荷部分的准确起始位置pi起,对有效载荷中的信号进行分割,从而实现有效载荷获取,同时根据导频部分获得chirp符号的频域峰值高度h,用以后续步骤计算。Step 3.2: Signal synchronization and payload segmentation. Since the splicing mechanism preserves the preamble of the original LoRa signal, LoRa standard packet detection can be used to ensure signal synchronization. That is, the sliding window is realized by using a window size of 10 downchirps to monitor the channel. Then, the sliding window of channels is multiplied by 2.25 upchirps and a Fourier transform is performed to synchronize the signals. When the fast Fourier transform peak strength of the signal exceeds the preset threshold, the signal synchronization is completed, and this moment is the exact initial position p i of the payload part of the signal, and the peak frequency point position is the carrier frequency offset frequency f cfo . According to the length of the signal, starting from the exact starting position p i of the payload part, the signal in the payload part is divided to realize the payload acquisition, and at the same time, the frequency-domain peak height h of the chirp symbol is obtained according to the pilot part, which is used for Calculation in subsequent steps.

步骤3.3:利用LoRa数据包导频部分进行载波频率偏移估计并进行频率校正,从而去除由于收发机之间本地晶体振荡器之间不匹配和信号传输过程中的多普勒频移所产生的频率偏移。Step 3.3: Use the pilot part of the LoRa data packet to estimate the carrier frequency offset and perform frequency correction to remove the noise caused by the mismatch between the local crystal oscillators between the transceivers and the Doppler frequency shift during signal transmission. frequency offset.

Figure SMS_34
Figure SMS_34

其中:S′为载波频率偏移校正后的chirp符号,Schirp为原始chirp符号,f0为原始chirp符号的起始频率,Hz,fcfo为载波频率偏移频率,Hz;k为频率变化率,Hz/s;t为时间,s;j为虚部信号。Among them: S′ is the chirp symbol after carrier frequency offset correction, S chirp is the original chirp symbol, f 0 is the starting frequency of the original chirp symbol, Hz, f cfo is the carrier frequency offset frequency, Hz; k is the frequency change Rate, Hz/s; t is time, s; j is imaginary part signal.

步骤四:对频域干扰进行迭代预估并对干扰进行消除,实现冲突信号的准确解调。Step 4: Iteratively estimate the interference in the frequency domain and eliminate the interference, so as to realize accurate demodulation of conflicting signals.

步骤4.1:对步骤三预处理后的chirp信号,根据其信号同步之间的起始位置,计算信号到达时间差在chirp符号级所产生的时间窗口偏移t1_2Step 4.1: For the chirp signal preprocessed in step 3, calculate the time window offset t 1_2 generated by the signal arrival time difference at the chirp symbol level according to the starting position between the signal synchronizations.

t1_2=p2-p1-N×Tt 1_2 =p 2 -p 1 -N×T

其中,时间窗口偏移t1_2的取值范围为0到T之间,s;p2为第二个包的到达时刻,s;p1为第一个包的到达时刻,s;N为正整数,T为chirp符号的持续时间,s。Among them, the value range of the time window offset t 1_2 is between 0 and T, s; p 2 is the arrival time of the second packet, s; p 1 is the arrival time of the first packet, s; N is positive Integer, T is the duration of the chirp symbol, s.

步骤4.3:对前一数据包A与后一数据包B发生冲突的首个chirp符号A1的干净段进行解调,其过程如下:干净段信号首先与对应长度的down chirp进行相乘,具体过程如下式所示;Step 4.3: Demodulate the clean segment of the first chirp symbol A1 where the previous data packet A collides with the subsequent data packet B. The process is as follows: the clean segment signal is first multiplied by the down chirp of the corresponding length. The specific process As shown in the following formula;

Figure SMS_35
Figure SMS_35

其中:Cu为upchirp,Cd为downchirp,fo为Cu的起始频率,Hz;k为频率变化率,Hz/s;BW为频带宽度,Hz;t为时间,取值范围为0到ti_2,s;fBw/2为Cd起始频率,Hz;j为虚部信号。Among them: Cu is upchirp, Cd is downchirp, f o is the initial frequency of Cu, Hz; k is the frequency change rate, Hz/s; BW is the frequency bandwidth, Hz; t is time, and the value range is from 0 to t i_2 , s; fBw/2 is the starting frequency of Cd, Hz; j is the imaginary part signal.

接着对相乘后的信号做傅里叶变换得到起始频率f0Then perform Fourier transform on the multiplied signal to obtain the initial frequency f 0 .

步骤4.4:根据步骤4.3所得的前一数据包A与后一数据包B发生冲突的首个chirp符号A1的起始频率f0,预估符号A1的频域峰值频点和频域峰值高度。Step 4.4: According to the starting frequency f 0 of the first chirp symbol A1 where the previous data packet A collides with the subsequent data packet B obtained in step 4.3, estimate the frequency domain peak frequency point and frequency domain peak height of the symbol A1.

Figure SMS_36
Figure SMS_36

Figure SMS_37
Figure SMS_37

其中,fA1-1,fA1-2为chirp符号A1的频域峰值频点,Hz;hA1-1,hA1-2为其对应的峰值高度;f0为chirp符号A1的起始频率,Hz;BW为频带宽度,Hz;h为chirp频域完整的峰值能量高度。Among them, f A1-1 and f A1-2 are the peak frequency points in the frequency domain of chirp symbol A1, Hz; h A1-1 and h A1-2 are their corresponding peak heights; f 0 is the starting frequency of chirp symbol A1 , Hz; BW is the frequency bandwidth, Hz; h is the complete peak energy height of the chirp frequency domain.

步骤4.5根据符号A1预估的频域峰值频点和频域峰值高度,计算其会对后一数据包B与A1冲突的chirp符号B1所产生的干扰所在的频域峰值频点和频域峰值高度。Step 4.5 Calculate the frequency domain peak frequency point and frequency domain peak value of the interference generated by the chirp symbol B1 that will collide with A1 in the next data packet B according to the estimated frequency domain peak frequency point and frequency domain peak height of symbol A1 high.

具体的,干扰所在的频域峰值频点计算过程如下:Specifically, the calculation process of the peak frequency point in the frequency domain where the interference is located is as follows:

Figure SMS_38
Figure SMS_38

其中,f′A1-1,f′A1-2为符号A1对B1所产生的干扰的频域峰值频点,Hz;fA1-1,fA1-2为符号A1的频域峰值频点,Hz;BW为频带宽度,Hz;t1_2为时间窗口偏移量,s;T为chirp符号完整的时间长度,s。Among them, f′ A1-1 and f′ A1-2 are the peak frequency points in the frequency domain of the interference generated by symbol A1 on B1, Hz; f A1-1 and f A1-2 are the peak frequency points in the frequency domain of symbol A1, Hz; BW is the frequency bandwidth, Hz; t 1_2 is the time window offset, s; T is the complete time length of the chirp symbol, s.

具体的,干扰所在的频域峰值高度计算过程如下:Specifically, the calculation process of the peak height in the frequency domain where the interference is located is as follows:

Figure SMS_39
时:when
Figure SMS_39
hour:

Figure SMS_40
Figure SMS_40

Figure SMS_41
时:when
Figure SMS_41
hour:

Figure SMS_42
Figure SMS_42

其中,h′A1-1,h′A1-2为符号A1对B1所产生的干扰的频域峰值高度;hA1-1,hA1-2为符号A1的频域峰值高度,Hz;h为chirp频域完整的峰值能量高度,Hz;t1_2为时间窗口偏移量,s;T为chirp符号完整的时间长度,s。Among them, h′ A1-1 and h′ A1-2 are the frequency-domain peak heights of the interference caused by symbol A1 to B1; h A1-1 and h A1-2 are the frequency-domain peak heights of symbol A1, in Hz; h is The peak energy height of the complete chirp frequency domain, Hz; t 1_2 is the time window offset, s; T is the complete time length of the chirp symbol, s.

步骤4.5:对频域干扰进行迭代消除Step 4.5: Iterative cancellation of frequency domain interference

首先对后一数据包B与A1冲突的chirp符号B1进行解调,其过程如下:B1信号首先与对应长度的down chirp进行相乘,具体过程如下式所示;First, demodulate the chirp symbol B1 that conflicts between the latter data packet B and A1, and the process is as follows: the B1 signal is first multiplied by the down chirp of the corresponding length, and the specific process is shown in the following formula;

Figure SMS_43
Figure SMS_43

其中:Cu为upchirp,Cd为downchirp,fo为Cu的起始频率,Hz;k为频率变化率,Hz/s;BW为频带宽度,Hz;t为时间,取值范围为0到T,s;fBW/2为Cd起始频率,Hz;j为虚部信号。Among them: Cu is upchirp, Cd is downchirp, f o is the initial frequency of Cu, Hz; k is the frequency change rate, Hz/s; BW is the frequency bandwidth, Hz; t is time, the value range is from 0 to T, s; f BW /2 is the starting frequency of Cd, Hz; j is the imaginary part signal.

接着对相乘后的信号做傅里叶变换得到其频域特征,在频域中将步骤4.4中估计所得的频域干扰(f′A1-1,h′A1-1)、(f′A1-2,h′A1-2)进行消除。Then perform Fourier transform on the multiplied signal to obtain its frequency domain characteristics, and in the frequency domain, the frequency domain interference (f′ A1-1 , h′ A1-1 ), (f′ A1 -2 , h′ A1-2 ) for elimination.

在消除干扰位置后的频域,找到频域峰值最高处所在频点f,In the frequency domain after eliminating the interference position, find the frequency point f where the frequency domain peak is the highest,

Figure SMS_44
时:when
Figure SMS_44
hour:

Figure SMS_45
Figure SMS_45

Figure SMS_46
时:when
Figure SMS_46
hour:

Figure SMS_47
Figure SMS_47

其中:f为消除干扰后chirp符号B1的频域中峰值最高处所在频点,Hz;BW为频带宽度,Hz;f0-B为chirp符号B1的起始频率,Hz;找到chirp符号B1的起始频率,即完成chirp符号的解调。Among them: f is the frequency point of the highest peak in the frequency domain of the chirp symbol B1 after the interference is eliminated, Hz; BW is the frequency bandwidth, Hz; f 0-B is the starting frequency of the chirp symbol B1, Hz; find the frequency of the chirp symbol B1 The starting frequency is to complete the demodulation of chirp symbols.

找到chirp符号B1的起始频率,即完成冲突符号的解调。Find the starting frequency of the chirp symbol B1, that is, complete the demodulation of the conflicting symbols.

同样的,使用chirp符号B1的起始频率重复步骤4.4、步骤4.5完成A2符号的解调。Similarly, use the starting frequency of the chirp symbol B1 to repeat steps 4.4 and 4.5 to complete the demodulation of the A2 symbol.

以此类推,对冲突信号进行迭代频域干扰的预估和消除。By analogy, iterative estimation and elimination of interference in the frequency domain is performed on conflicting signals.

使用本方法在不同参数环境下进行了LoRa冲突信号解调。本节所进行的验证性实验均采用相同的收发设备。发送端使用Arduino模块搭载sx1276芯片进行LoRa信号的发射,接收端采用美国NI公司生产制造的USRP-2954完成LoRa信号的接收。信号传输所选用的频段为915.9MHz,信号带宽为500KHz。冲突数据包的解调部分在MATLAB上进行实现。实验通过调节发送端节点的发射功率、更改发送端和接收端的传输距离以及在接收端增加衰减器并更改衰减功率的方式,来对信号的信噪比进行调节。Using this method, the LoRa conflict signal demodulation is carried out under different parameter environments. The verification experiments carried out in this section all use the same transceiver equipment. The sending end uses the Arduino module equipped with the sx1276 chip to transmit the LoRa signal, and the receiving end uses the USRP-2954 manufactured by the American NI company to complete the receiving of the LoRa signal. The frequency band selected for signal transmission is 915.9MHz, and the signal bandwidth is 500KHz. The demodulation part of the conflicting data packets is implemented on MATLAB. The experiment adjusts the signal-to-noise ratio of the signal by adjusting the transmitting power of the sending node, changing the transmission distance between the sending end and the receiving end, adding an attenuator at the receiving end and changing the attenuation power.

在SF=8,SNR在-5dB~-10dB之间,本方法的冲突信号解调准确率可达89.06%。在SF=10,SNR在-15dB~-20dB之间,本方法的冲突信号解调准确率可达92.94%。如图4所示为SF=8时,在不同信噪比下的冲突信号解调准确率。When SF=8 and SNR is between -5dB~-10dB, the demodulation accuracy rate of the conflicting signal can reach 89.06%. When SF=10 and SNR is between -15dB~-20dB, the demodulation accuracy rate of the conflicting signal can reach 92.94%. As shown in FIG. 4 , when SF=8, the demodulation accuracy of conflicting signals under different signal-to-noise ratios.

以上详细描述了本公开的优选实施方式,但是,本公开并不限于上述实施方式中的具体细节,在本公开的技术构思范围内,可以对本公开的技术方案进行多种简单变型,这些简单变型均属于本公开的保护范围。The preferred embodiments of the present disclosure have been described in detail above, but the present disclosure is not limited to the specific details in the above embodiments. Within the scope of the technical concept of the present disclosure, various simple modifications can be made to the technical solutions of the present disclosure. These simple modifications All belong to the protection scope of the present disclosure.

另外需要说明的是,在上述具体实施方式中所描述的各个具体技术特征,在不矛盾的情况下,可以通过任何合适的方式进行组合,为了避免不必要的重复,本公开对各种可能的组合方式不再另行说明。In addition, it should be noted that the various specific technical features described in the above specific embodiments can be combined in any suitable manner if there is no contradiction. The combination method will not be described separately.

此外,本公开的各种不同的实施方式之间也可以进行任意组合,只要其不违背本公开的思想,其同样应当视为本公开所公开的内容。In addition, various implementations of the present disclosure can be combined arbitrarily, as long as they do not violate the idea of the present disclosure, they should also be regarded as the content disclosed in the present disclosure.

Claims (10)

1.一种基于频域干扰迭代消除的LoRa并发通信解调方法,其特征在于,按照以下步骤执行:1. A LoRa concurrent communication demodulation method based on frequency domain interference iterative elimination, is characterized in that, executes according to the following steps: 步骤一:信号发送;Step 1: Signal sending; 以chirp信号为处理单位,节点端以标准LoRa数据包帧格式发送信号;Taking the chirp signal as the processing unit, the node sends the signal in the standard LoRa packet frame format; 步骤二:信号接收;Step 2: Signal reception; 网关端以导频部分频域特征作为依据,对冲突状态下的LoRa信号进行接收,冲突状态即为多个数据包在同一时间段进行传输;The gateway side uses the frequency domain characteristics of the pilot part as a basis to receive the LoRa signal in the conflict state. The conflict state means that multiple data packets are transmitted at the same time period; 步骤三:信号预处理;Step 3: Signal preprocessing; 对冲突状态下的LoRa信号进行进行低通滤波和信号同步,以chirp长度为步长进行分割得到多个chirp符号,对chirp符号进行载波频率偏移校正;Low-pass filtering and signal synchronization are performed on the LoRa signal in the conflict state, and multiple chirp symbols are obtained by dividing with the chirp length as the step size, and carrier frequency offset correction is performed on the chirp symbols; 步骤四:冲突信号解调;Step 4: demodulation of conflicting signals; 对步骤三预处理后的chirp符号进行频域干扰预估并消除,完成符号解调。Perform frequency domain interference estimation and elimination on the chirp symbols preprocessed in step 3, and complete symbol demodulation. 2.根据权利要求1所述的基于频域干扰迭代消除的LoRa并发通信解调方法,其特征在于,所述的步骤四中,频域干扰进行预估包括获取频域峰值频点和频域峰值高度;2. The LoRa concurrent communication demodulation method based on frequency domain interference iterative elimination according to claim 1, characterized in that, in described step 4, the estimation of frequency domain interference includes obtaining frequency domain peak frequency point and frequency domain peak height; 其中,频域峰值频点的获取包括:Among them, the acquisition of frequency domain peak frequency points includes:
Figure FDA0004104214990000011
Figure FDA0004104214990000011
其中,f′A1-1,f′A1-2为chirp符号A1对chirp符号B1所产生的干扰的频域峰值频点,Hz;fA1-1,fA1-2为chirp符号A1的频域峰值频点,Hz;BW为频带宽度,Hz;t1_2为时间窗口偏移量,s;T为chirp符号完整的时间长度,s;Among them, f' A1-1 , f' A1-2 is the frequency domain peak frequency point of the interference generated by chirp symbol A1 to chirp symbol B1, Hz; f A1-1 , f A1-2 is the frequency domain of chirp symbol A1 Peak frequency point, Hz; BW is the frequency bandwidth, Hz; t 1_2 is the time window offset, s; T is the complete time length of the chirp symbol, s; 频域峰值高度的获取包括:The acquisition of peak height in frequency domain includes:
Figure FDA0004104214990000012
时:
when
Figure FDA0004104214990000012
hour:
Figure FDA0004104214990000013
Figure FDA0004104214990000013
Figure FDA0004104214990000014
时:
when
Figure FDA0004104214990000014
hour:
Figure FDA0004104214990000015
Figure FDA0004104214990000015
其中,h′A1-1,h′A1-2为chirp符号A1对chirp符号B1所产生的干扰的频域峰值高度;hA1-1,hA1-2为chirp符号A1的频域峰值高度,Hz;h为chirp符号频域完整的峰值能量高度,Hz。Among them, h'A1-1 , h'A1-2 is the frequency domain peak height of the interference generated by chirp symbol A1 to chirp symbol B1; hA1-1 , hA1-2 is the frequency domain peak height of chirp symbol A1, Hz; h is the complete peak energy height of the chirp symbol in frequency domain, Hz.
3.根据权利要求1或2所述的基于频域干扰迭代消除的LoRa并发通信解调方法,其特征在于,所述的步骤四中,频域干扰预估后,符号解调过程包括:3. The LoRa concurrent communication demodulation method based on frequency domain interference iterative elimination according to claim 1 or 2, is characterized in that, in described step 4, after the frequency domain interference is estimated, the symbol demodulation process comprises: 在频域中将估计所得的频域干扰(f′A1-1,h′A1-1)、(f′A1-2,h′A1-2)进行消除;Eliminate the estimated frequency domain interference (f' A1-1 , h' A1-1 ), (f' A1-2 , h' A1-2 ) in the frequency domain; 在消除干扰位置后的频域,找到频域峰值最高处所在频点f,In the frequency domain after eliminating the interference position, find the frequency point f where the frequency domain peak is the highest,
Figure FDA0004104214990000021
时:
when
Figure FDA0004104214990000021
hour:
Figure FDA0004104214990000022
Figure FDA0004104214990000022
Figure FDA0004104214990000023
时:
when
Figure FDA0004104214990000023
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Figure FDA0004104214990000024
Figure FDA0004104214990000024
其中:f为消除干扰后chirp符号B1的频域中峰值最高处所在频点,Hz;BW为频带宽度,Hz;f0-B为chirp符号B1的起始频率,Hz;找到chirp符号B1的起始频率,即完成chirp符号的解调。Among them: f is the frequency point of the highest peak in the frequency domain of the chirp symbol B1 after the interference is eliminated, Hz; BW is the frequency bandwidth, Hz; f 0-B is the starting frequency of the chirp symbol B1, Hz; find the frequency of the chirp symbol B1 The starting frequency is to complete the demodulation of chirp symbols.
4.根据权利要求1或2所述的基于频域干扰迭代消除的LoRa并发通信解调方法,其特征在于,所述的步骤三中,载波频率偏移进行校正的具体过程如下式所示;4. the LoRa concurrent communication demodulation method based on frequency domain interference iterative elimination according to claim 1 or 2, is characterized in that, in described step 3, the specific process that carrier frequency offset is corrected is shown in the following formula;
Figure FDA0004104214990000025
Figure FDA0004104214990000025
其中:S′为载波频率偏移校正后的chirp符号,Schirp为原始chirp符号,f0为原始chirp符号的起始频率,Hz,fcfo为载波频率偏移频率,Hz;k为频率变化率,Hz/s;t为时间,s;j为虚部信号。Among them: S′ is the chirp symbol after carrier frequency offset correction, S chirp is the original chirp symbol, f 0 is the starting frequency of the original chirp symbol, Hz, f cfo is the carrier frequency offset frequency, Hz; k is the frequency change Rate, Hz/s; t is time, s; j is imaginary part signal.
5.根据权利要求1或2所述的基于频域干扰迭代消除的LoRa并发通信解调方法,其特征在于,步骤三中,所述的低通滤波采用IIR低通滤波器进行。5. the LoRa concurrent communication demodulation method based on frequency domain interference iterative elimination according to claim 1 or 2, is characterized in that, in step 3, described low-pass filtering adopts IIR low-pass filter to carry out. 6.根据权利要求1或2所述的基于频域干扰迭代消除的LoRa并发通信解调方法,其特征在于,步骤三中,将低通滤波后的LoRa信号的频域能量进行脉冲压缩,利用滑动窗口找到脉冲压缩后的能量最大值位置即为chirp信号的有效载荷的起始位置,实现信号同步;利用10个downchirps大小来进行滑动窗口;6. the LoRa concurrent communication demodulation method based on frequency domain interference iterative elimination according to claim 1 or 2 is characterized in that, in step 3, the frequency domain energy of the LoRa signal after the low-pass filter is carried out pulse compression, utilizes The sliding window finds the energy maximum position after pulse compression, which is the starting position of the payload of the chirp signal, and realizes signal synchronization; use 10 downchirps to perform the sliding window; 使用滑动窗口对低通滤波后的LoRa信号进行信号同步,并依据时间单位对低通滤波后的LoRa信号中的Payload信号进行分割处理。Use the sliding window to perform signal synchronization on the low-pass filtered LoRa signal, and segment the Payload signal in the low-pass filtered LoRa signal according to the time unit. 7.一种基于频域干扰迭代消除的LoRa并发通信解调系统,其特征在于,包括:7. A LoRa concurrent communication demodulation system based on frequency domain interference iterative elimination, is characterized in that, comprising: 信号发送模块,以chirp信号为处理单位,节点端以标准LoRa数据包帧格式发送信号;The signal sending module takes the chirp signal as the processing unit, and the node sends the signal in the standard LoRa packet frame format; 信号接收模块,网关端以导频部分频域特征作为依据,对冲突状态下的LoRa信号进行接收,冲突状态即为多个数据包在同一时间段进行传输;The signal receiving module, the gateway side uses the frequency domain characteristics of the pilot part as a basis to receive the LoRa signal in the conflict state. The conflict state means that multiple data packets are transmitted at the same time period; 信号预处理模块,对冲突状态下的LoRa信号进行进行低通滤波和信号同步,以chirp长度为步长进行分割得到多个chirp符号,对chirp符号进行载波频率偏移校正;The signal preprocessing module performs low-pass filtering and signal synchronization on the LoRa signal in the conflict state, divides the chirp length into multiple chirp symbols, and corrects the carrier frequency offset of the chirp symbols; 冲突信号解调模块,对步骤三预处理后的chirp符号进行频域干扰预估并消除,完成符号解调。The conflicting signal demodulation module performs frequency domain interference estimation and elimination on the chirp symbols preprocessed in step 3, and completes symbol demodulation. 8.根据权利要求7所述的基于频域干扰迭代消除的LoRa并发通信解调系统,其特征在于,所述的冲突信号解调模块中,频域干扰进行预估包括获取频域峰值频点和频域峰值高度;8. The LoRa concurrent communication demodulation system based on iterative elimination of frequency domain interference according to claim 7, characterized in that, in the demodulation module of the conflicting signal, the estimation of frequency domain interference includes obtaining the frequency domain peak frequency point and frequency domain peak height; 其中,频域峰值频点的获取包括:Among them, the acquisition of frequency domain peak frequency points includes:
Figure FDA0004104214990000031
Figure FDA0004104214990000031
其中,f′A1-1,f′A1-2为chirp符号A1对chirp符号B1所产生的干扰的频域峰值频点,Hz;fA1-1,fA1-2为chirp符号A1的频域峰值频点,Hz;BW为频带宽度,Hz;t1_2为时间窗口偏移量,s;T为chirp符号完整的时间长度,s;Among them, f' A1-1 , f' A1-2 is the frequency domain peak frequency point of the interference generated by chirp symbol A1 to chirp symbol B1, Hz; f A1-1 , f A1-2 is the frequency domain of chirp symbol A1 Peak frequency point, Hz; BW is the frequency bandwidth, Hz; t 1_2 is the time window offset, s; T is the complete time length of the chirp symbol, s; 频域峰值高度的获取包括:The acquisition of peak height in frequency domain includes:
Figure FDA0004104214990000032
时:
when
Figure FDA0004104214990000032
hour:
Figure FDA0004104214990000033
Figure FDA0004104214990000033
Figure FDA0004104214990000034
时:
when
Figure FDA0004104214990000034
hour:
Figure FDA0004104214990000035
Figure FDA0004104214990000035
其中,h′A1-1,h′A1-2为chirp符号A1对chirp符号B1所产生的干扰的频域峰值高度;hA1-1,hA1-2为chirp符号A1的频域峰值高度,Hz;h为chirp符号频域完整的峰值能量高度,Hz。Among them, h'A1-1 , h'A1-2 is the frequency domain peak height of the interference generated by chirp symbol A1 to chirp symbol B1; hA1-1 , hA1-2 is the frequency domain peak height of chirp symbol A1, Hz; h is the complete peak energy height of the chirp symbol in frequency domain, Hz.
9.根据权利要求8所述的基于频域干扰迭代消除的LoRa并发通信解调系统,其特征在于,频域干扰预估后,符号解调过程包括:9. The LoRa concurrent communication demodulation system based on frequency domain interference iterative elimination according to claim 8, wherein, after the frequency domain interference is estimated, the symbol demodulation process includes: 在频域中将估计所得的频域干扰(f′A1-1,h′A1-1)、(f′A1-2,h′A1-2)进行消除;Eliminate the estimated frequency domain interference (f' A1-1 , h' A1-1 ), (f' A1-2 , h' A1-2 ) in the frequency domain; 在消除干扰位置后的频域,找到频域峰值最高处所在频点f,In the frequency domain after eliminating the interference position, find the frequency point f where the frequency domain peak is the highest,
Figure FDA0004104214990000041
时:
when
Figure FDA0004104214990000041
hour:
Figure FDA0004104214990000042
Figure FDA0004104214990000042
Figure FDA0004104214990000043
时:
when
Figure FDA0004104214990000043
hour:
Figure FDA0004104214990000044
Figure FDA0004104214990000044
其中:f为消除干扰后chirp符号B1的频域中峰值最高处所在频点,Hz;BW为频带宽度,Hz;f0-B为chirp符号B1的起始频率,Hz;找到chirp符号B1的起始频率,即完成chirp符号的解调。Among them: f is the frequency point of the highest peak in the frequency domain of the chirp symbol B1 after the interference is eliminated, Hz; BW is the frequency bandwidth, Hz; f 0-B is the starting frequency of the chirp symbol B1, Hz; find the frequency of the chirp symbol B1 The starting frequency is to complete the demodulation of chirp symbols.
10.根据权利要求7、8或9所述的基于频域干扰迭代消除的LoRa并发通信解调系统,其特征在于,所述的信号预处理模块中,载波频率偏移进行校正的具体过程如下式所示;10. The LoRa concurrent communication demodulation system based on iterative elimination of frequency domain interference according to claim 7, 8 or 9, characterized in that, in the described signal preprocessing module, the specific process of correcting the carrier frequency offset is as follows shown in the formula;
Figure FDA0004104214990000045
Figure FDA0004104214990000045
其中:S′为载波频率偏移校正后的chirp符号,Schirp为原始chirp符号,f0为原始chirp符号的起始频率,Hz,fcfo为载波频率偏移频率,Hz;k为频率变化率,Hz/s;t为时间,s;j为虚部信号。Among them: S′ is the chirp symbol after carrier frequency offset correction, S chirp is the original chirp symbol, f 0 is the starting frequency of the original chirp symbol, Hz, f cfo is the carrier frequency offset frequency, Hz; k is the frequency change Rate, Hz/s; t is time, s; j is imaginary part signal.
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