CN107395199B - A phase locked loop circuit - Google Patents
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- H—ELECTRICITY
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Abstract
本发明涉及一种锁相环电路,包括PLL环路模块、前级放大模块、信号反馈模块、中央处理器、末级放大模块、校准模块和压控本振模块;本发明通过利用信号反馈环路来减小PLL频移的方法,以及给出改进的终极压控本振输出频率信号装置,将以更稳定、更精确的输出信号至用户端。
The invention relates to a phase-locked loop circuit, which includes a PLL loop module, a preamplifier module, a signal feedback module, a central processor, a final amplification module, a calibration module and a voltage-controlled local oscillator module; the invention uses a signal feedback loop This method provides a method to reduce the PLL frequency shift and provides an improved ultimate voltage-controlled local oscillator output frequency signal device, which will output a more stable and accurate signal to the user end.
Description
技术领域Technical field
本发明涉及频率信号装置领域,具体涉及一种锁相环电路。The invention relates to the field of frequency signal devices, and in particular to a phase-locked loop circuit.
背景技术Background technique
锁相环 (phase locked loop),顾名思义,就是锁定相位的环路。学过自动控制原理的人都知道,这是一种典型的反馈控制电路,利用外部输入的参考信号控制环路内部振荡信号的频率和相位,实现输出信号频率对输入信号频率的自动跟踪,一般用于闭环跟踪电路。是无线电发射中使频率较为稳定的一种方法,主要有压控本振(压控振荡器)和PLLIC (锁相环集成电路),压控振荡器给出一个信号,一部分作为输出,另一部分通过分频与PLL IC所产生的本振信号作相位比较,为了保持频率不变,就要求相位差不发生改变,如果有相位差的变化,则PLL IC的电压输出端的电压发生变化,去控制压控本振,直到相位差恢复,达到锁相的目的。能使受控振荡器的频率和相位均与输入信号保持确定关系的闭环电子电路。Phase locked loop, as the name suggests, is a phase-locked loop. Anyone who has studied the principle of automatic control knows that this is a typical feedback control circuit that uses an externally input reference signal to control the frequency and phase of the oscillation signal inside the loop to achieve automatic tracking of the output signal frequency to the input signal frequency. Generally, Used in closed loop tracking circuits. It is a method to make the frequency more stable in radio transmission. It mainly includes voltage-controlled local oscillator (voltage-controlled oscillator) and PLLIC (phase-locked loop integrated circuit). The voltage-controlled oscillator gives a signal, part of which is used as the output, and the other part By comparing the phase with the local oscillator signal generated by the PLL IC through frequency division, in order to keep the frequency unchanged, the phase difference is required not to change. If there is a change in the phase difference, the voltage at the voltage output terminal of the PLL IC changes to control The voltage controls the local oscillator until the phase difference is restored to achieve phase locking. A closed-loop electronic circuit that maintains a definite relationship between the frequency and phase of a controlled oscillator and the input signal.
在实际的PLL电路环境中,我们还会忽略另外关键的参数,那就是整个PLL电路中信号的幅值影响以及最终极压控振荡器压控本振输出频率的准确性。目前国内相关的文献报告中并没有就此技术展开详细的研究,造成大多数PLL锁相环工作稳定性差的现象。In the actual PLL circuit environment, we will also ignore another key parameter, which is the amplitude influence of the signal in the entire PLL circuit and the accuracy of the final voltage-controlled local oscillator output frequency of the extreme voltage-controlled oscillator. At present, there is no detailed research on this technology in relevant domestic literature reports, resulting in the poor working stability of most PLL phase-locked loops.
发明内容Contents of the invention
本发明要解决的技术问题是:提出一种改进的锁相环电路。The technical problem to be solved by the present invention is to propose an improved phase-locked loop circuit.
本发明为解决上述技术问题提出的技术方案是:一种锁相环电路,包括PLL环路模块、前级放大模块、信号反馈模块、中央处理器、末级放大模块、校准模块和压控本振模块;The technical solution proposed by the present invention to solve the above technical problems is: a phase-locked loop circuit, including a PLL loop module, a preamplifier module, a signal feedback module, a central processor, a final amplification module, a calibration module and a voltage control module. vibration module;
所述PLL环路模块的得到的频率信号送至所述前级放大模块,所述前级放大模块的信号输出端分别连接到所述信号反馈模块的信号输入端和末级放大模块的信号输入端,所述信号反馈模块的参数输出端连接到所述中央处理器的参数输入端,所述中央处理器的控制端连接到所述末级放大模块的受控端;The frequency signal obtained by the PLL loop module is sent to the pre-amplification module, and the signal output end of the pre-amplification module is respectively connected to the signal input end of the signal feedback module and the signal input of the final amplification module. terminal, the parameter output terminal of the signal feedback module is connected to the parameter input terminal of the central processor, and the control terminal of the central processor is connected to the controlled terminal of the final amplification module;
所述末级放大模块的压控电压信号输出至所述压控本振模块,所述压控本振的信号输出端分别连接到所述PLL环路模块的信号输入端和校准模块的信号输入端,所述中央处理器的控制端也连接到所述校准模块的受控端。The voltage-controlled voltage signal of the final amplification module is output to the voltage-controlled local oscillator module, and the signal output end of the voltage-controlled local oscillator is respectively connected to the signal input end of the PLL loop module and the signal input of the calibration module. terminal, and the control terminal of the central processor is also connected to the controlled terminal of the calibration module.
进一步的,所述校准模块包括隔离放大器、第一DDS模块、第二DDS模块、走时计数器、滤波器和锁存器;Further, the calibration module includes an isolation amplifier, a first DDS module, a second DDS module, a travel time counter, a filter and a latch;
所述隔离放大器的信号输出端分别连接到所述第一DDS模块和第二DDS模块,所述第二DDS模块的信号输出端连接到所述走时计数器,所述走时计数器耦合到所述锁存器;The signal output end of the isolation amplifier is connected to the first DDS module and the second DDS module respectively, the signal output end of the second DDS module is connected to the travel time counter, and the travel time counter is coupled to the latch device;
所述第一DDS模块的信号输出端连接到滤波模块。The signal output end of the first DDS module is connected to the filter module.
进一步的,所述第二DDS模块适于对经隔离放大器输入的压控本振信号进行1/100分频处理。Further, the second DDS module is suitable for performing 1/100 frequency division processing on the voltage-controlled local oscillator signal input through the isolation amplifier.
进一步的,经所述1/100分频处理得到的1/100分频率信号送至走时计数器进行粗频率测量,中央处理器读取锁存器对走时计数器取样的数值后,记录下此时的频率数值,乘以100后便可得到压控本振的粗频率值F。Further, the 1/100 frequency signal obtained through the 1/100 frequency division processing is sent to the travel time counter for coarse frequency measurement. After the central processor reads the value sampled by the latch on the travel time counter, it records the current value. After multiplying the frequency value by 100, the coarse frequency value F of the voltage-controlled local oscillator can be obtained.
进一步的,所述第一DDS模块的外部通讯端口连接至中央处理器,中央处理器根据计算得到与DDS1通讯用的分频数值/>,其中f为欲输送至用户端的射频信号频率值,f0为压控本振输出信号频率,并通过串行通讯时序将所得的具体分频数值写入第一DDS模块缓存区,经第一DDS模块后得到频率信号,将所得的频率信号再送至滤波器后得到最终的频率信号输出。Further, the external communication port of the first DDS module is connected to the central processor, and the central processor Calculate the frequency division value used for communication with DDS1/> , where f is the frequency value of the radio frequency signal to be transmitted to the user end, f 0 is the frequency of the voltage-controlled local oscillator output signal, and the specific frequency division value obtained is written into the first DDS module buffer area through the serial communication sequence. The DDS module obtains the frequency signal, and then sends the obtained frequency signal to the filter to obtain the final frequency signal output.
本发明的有益效果是:The beneficial effects of the present invention are:
本发明通过利用信号反馈环路来减小PLL频移的方法,以及给出改进的终极压控本振输出频率信号装置,将以更稳定、更精确的输出信号至用户端。The present invention uses a signal feedback loop to reduce the PLL frequency shift and provides an improved ultimate voltage-controlled local oscillator output frequency signal device, which will output signals to the user end in a more stable and accurate manner.
附图说明Description of drawings
下面结合附图对本发明的锁相环电路作进一步说明。The phase-locked loop circuit of the present invention will be further described below with reference to the accompanying drawings.
图1是本发明中锁相环电路的结构框图;Figure 1 is a structural block diagram of a phase-locked loop circuit in the present invention;
图2是信号反馈模块的电路原理图;Figure 2 is the circuit schematic diagram of the signal feedback module;
图3是时域射频信号频率与幅值关系图;Figure 3 is a diagram of the relationship between frequency and amplitude of the time domain radio frequency signal;
图4是校准模块的结构框图。Figure 4 is a block diagram of the calibration module.
具体实施方式Detailed ways
实施例Example
根据图1所示,本发明的锁相环电路,包括PLL环路模块、前级放大模块、信号反馈模块、中央处理器、末级放大模块、校准模块和压控本振模块(VCXO)。As shown in Figure 1, the phase-locked loop circuit of the present invention includes a PLL loop module, a preamplifier module, a signal feedback module, a central processor, a final amplification module, a calibration module and a voltage-controlled local oscillator module (VCXO).
PLL环路模块的得到的频率信号送至前级放大模块,前级放大模块的信号输出端分别连接到信号反馈模块的信号输入端和末级放大模块的信号输入端,信号反馈模块的参数输出端连接到中央处理器的参数输入端,中央处理器的控制端连接到末级放大模块的受控端。The frequency signal obtained by the PLL loop module is sent to the pre-amplification module. The signal output end of the pre-amplification module is connected to the signal input end of the signal feedback module and the signal input end of the final amplification module respectively. The parameter output of the signal feedback module The terminal is connected to the parameter input terminal of the central processor, and the control terminal of the central processor is connected to the controlled terminal of the final amplifier module.
末级放大模块的压控电压信号输出至压控本振模块,压控本振的信号输出端分别连接到PLL环路模块的信号输入端和校准模块的信号输入端,中央处理器的控制端也连接到校准模块的受控端。The voltage-controlled voltage signal of the final amplification module is output to the voltage-controlled local oscillator module. The signal output end of the voltage-controlled local oscillator is respectively connected to the signal input end of the PLL loop module, the signal input end of the calibration module, and the control end of the central processor. Also connected to the controlled end of the calibration module.
在上述方案中引入了前级放大、信号反馈、末级放大环节。传统PLL环路得到的频率信号在未进行同步鉴相处理前经过前级放大获得射频信号送入至信号反馈模块处理;中央处理器通过对信号反馈模块的访问获得射频信号的相关参数信息,主要包括信号最大幅值、最小幅值、峰峰值。在中央处理器的控制下将送入末级放大模块的前级放大信号进行参数修复,并完成传统PLL锁相环的同步鉴相功能。经同步鉴相作用后获得压控电压信号再作用于压控本振,完成传统PLL锁相环路。压控本振输出的频率信号送入校准模块,在中央处理器的控制下对信号频率进行修正后再输出至用户端。In the above scheme, preamplification, signal feedback, and final amplification links are introduced. The frequency signal obtained by the traditional PLL loop is amplified by the pre-stage to obtain the radio frequency signal before being processed by the synchronous phase detection and sent to the signal feedback module for processing; the central processor obtains the relevant parameter information of the radio frequency signal by accessing the signal feedback module, mainly Including the maximum amplitude, minimum amplitude, and peak-to-peak value of the signal. Under the control of the central processor, the parameters of the preamplified signal sent to the final amplification module are repaired, and the synchronous phase detection function of the traditional PLL phase-locked loop is completed. After the synchronous phase detection, the voltage-controlled voltage signal is obtained and then acts on the voltage-controlled local oscillator to complete the traditional PLL phase-locked loop. The frequency signal output by the voltage-controlled local oscillator is sent to the calibration module. Under the control of the central processor, the signal frequency is corrected and then output to the user end.
关于信号反馈模块About signal feedback module
如图2所示,前级放大信号分别输至运放A1和A3,并且前级放大信号经A3后送至A2。A4和A5是电压跟随器,其输出端V11和V12电压幅值与电容C1和C2上的电压相同(加一级跟随的作用是用这个跟随器提供电流支持)。 V11和V12分别送至A6的反相端和同相端,完成N(V12-V11)运算。As shown in Figure 2, the pre-amplified signals are sent to operational amplifiers A1 and A3 respectively, and the pre-amplified signals are sent to A2 through A3. A4 and A5 are voltage followers, and the voltage amplitudes of their output terminals V11 and V12 are the same as the voltages on capacitors C1 and C2 (the function of adding a first-level follower is to use this follower to provide current support). V11 and V12 are sent to the inverting end and non-inverting end of A6 respectively to complete the N (V12-V11) operation.
其中A1和A4完成前级放大信号最大峰值的检测:当前级放大信号电压大于电容C1电压时,电阻Rf上产生压降,电流从左到右。根据运放的虚断法则D11不会导通。这时充电电流经过D12对C1进行。 当前级放大信号的电压低于电容C1电压时,电阻R2上产生压降,电流从右到左。根据运放的虚断法则D12不会导通,这时电流只有经过D11进入A1。由于电压跟随器A4输出电压与电容C1上的电压相同,二极管D11截止,电容不能导过D11放电,电压得到保护,即电容C1与A4输出V11记录了前级放大信号的最大峰值。电容C1有一个放电电阻R1,RC的放电时间常数τ根据实际的前级放大信号的周期来设定,比如说前级放大信号的频率为79Hz,则τ取1S即可。同时V11输送至A/D采样1获得对应的电压值传递至中央处理器。Among them, A1 and A4 complete the detection of the maximum peak value of the preamplified signal: when the voltage of the preamplified signal is greater than the voltage of capacitor C1, a voltage drop occurs on the resistor Rf, and the current flows from left to right. According to the virtual break rule of the op amp, D11 will not conduct. At this time, the charging current flows through D12 to C1. When the voltage of the preamplified signal is lower than the voltage of capacitor C1, a voltage drop occurs on resistor R2, and the current flows from right to left. According to the virtual break rule of the op amp, D12 will not conduct, and the current will only enter A1 through D11. Since the output voltage of voltage follower A4 is the same as the voltage on capacitor C1, diode D11 is cut off, the capacitor cannot discharge through D11, and the voltage is protected, that is, the output V11 of capacitor C1 and A4 records the maximum peak value of the preamplification signal. Capacitor C1 has a discharge resistor R1. The discharge time constant τ of RC is set according to the actual period of the preamplified signal. For example, if the frequency of the preamplified signal is 79Hz, then τ should be 1S. At the same time, V11 is sent to A/D sampling 1 to obtain the corresponding voltage value and passed to the central processor.
A3完成前级放大信号反相:运放A3先给其输入的前级放大信号进行反相,再叠加一个负幅度直流电平Vref,最终完成前级放大信号高、低电平的转换,得到信号输出至运放A2。A3 completes the inversion of the pre-amplification signal: the operational amplifier A3 first inverts the input pre-amplification signal, then superimposes a negative amplitude DC level Vref, and finally completes the conversion of the high and low levels of the pre-amplification signal to obtain the signal Output to op amp A2.
A2和A5完成前级放大信号最小峰值的检测:前级放大信号经过A3处理后,并送至运放A2的同相端。其中A2和A5原理如上述A1和A3,只不过此时刻由于前级放大信号已经经过运放A3处理,A2和A5完成的是前级放大信号最小值的检测。同时V12输送至A/D采样2获得对应的电压值传递至中央处理器。A2 and A5 complete the detection of the minimum peak value of the pre-amplification signal: the pre-amplification signal is processed by A3 and sent to the non-inverting end of the operational amplifier A2. The principles of A2 and A5 are the same as those of A1 and A3 above, except that at this time, because the pre-amplified signal has been processed by the operational amplifier A3, A2 and A5 complete the detection of the minimum value of the pre-amplified signal. At the same time, V12 is sent to A/D sampling 2 to obtain the corresponding voltage value and passed to the central processor.
A6完成峰峰值的检测:经前述处理后的前级放大信号高电平V11与低电平V12分别送入差分放大器A6,通过调节Ry与Rx的比值,输出(V12-V11)*(Ry/Rx)。同时输送至A/D采样3获得对应的电压值传递至中央处理器。A6 completes the peak-to-peak detection: the high-level V11 and low-level V12 of the preamplified signal after the aforementioned processing are sent to the differential amplifier A6 respectively. By adjusting the ratio of Ry and Rx, (V12-V11)*(Ry/ Rx). At the same time, it is sent to A/D sampling 3 to obtain the corresponding voltage value and passed to the central processor.
通过上述A/D采样1、2、3获得的电压值可以判断前级放大信号模块输出的频率信号的幅值特征,这些信号通过中央处理器反馈至末级放大信号模块中去,完成同步鉴相。在这里有一个很重要的技术:实际上按照主原理图,我们只将上述获得的(V12-V11)*(Ry/Rx)信息进行处理变为修正用压控电压VX与传统同步鉴相压控电压VY求和输送至压控本振,我们记(V12-V11)=VPP、(Ry/Rx)=K。这里的K是一个放大增益它具体依赖于信号反馈模块中运放A6的反馈增益Ry与Rx的比值,KVPP直接决定了加给压控本振的修正用压控电压大小,所以VX必须根据具体压控本振的压控斜率及传统同步鉴相用压控电压VY量级进行设置,我们一般取VX=VY/20至VX=VY/10量级The voltage values obtained through the above A/D sampling 1, 2, and 3 can determine the amplitude characteristics of the frequency signal output by the preamplified signal module. These signals are fed back to the final amplified signal module through the central processor to complete the synchronous identification. Mutually. There is a very important technology here: in fact, according to the main schematic diagram, we only process the (V12-V11)*(Ry/Rx) information obtained above into the corrected voltage-controlled voltage VX and the traditional synchronous phase detection voltage The sum of the controlled voltages VY is transmitted to the voltage-controlled local oscillator. We remember (V12-V11) = V PP , (Ry/Rx) = K. K here is an amplification gain, which specifically depends on the ratio of the feedback gain Ry and Rx of the operational amplifier A6 in the signal feedback module. KV PP directly determines the voltage control voltage applied to the voltage-controlled local oscillator for correction, so VX must be based on The specific voltage-controlled slope of the voltage-controlled local oscillator and the traditional synchronous phase detection are set with the voltage-controlled voltage VY. We generally take the level of VX=VY/20 to VX=VY/10.
以上方案获得的专利实施效益:Patent implementation benefits obtained by the above scheme:
根据上述原理我们施加给压控本振的压控电压为:According to the above principle, the voltage-controlled voltage we apply to the voltage-controlled local oscillator is:
VY+VX=VY+(V12-V11)*(Ry/Rx)=VY+KVPP (1)VY+VX=VY+(V12-V11)*(Ry/Rx)=VY+KV PP (1)
这里VY是传统PLL锁相环获得的同步鉴相压控;K为信号反馈电路反馈增益(设计时已经是固定的);VPP是前级放大信号的峰峰值。Here VY is the synchronous phase detection voltage control obtained by the traditional PLL phase-locked loop; K is the feedback gain of the signal feedback circuit (already fixed during design); V PP is the peak-to-peak value of the preamplified signal.
按照时域射频信号频率与幅值关系,图3:同一时域频率信号输出系统中,随着输出信号的频率变大,信号的峰峰值将变小,如上图所示。所以,当传统PLL锁相环电路产生的信号频率变小时,获得的前级信号峰峰值将变大,经过本专利的实施方案获得的压控电压VY+KVPP将变大(实际中是VPP变大),作用于压控本振后将使压控本振输出的信号频率变大(因为实际中选择的是正压控斜率的压控本振),这样就起到了补偿的作用。According to the relationship between the frequency and amplitude of the time domain RF signal, Figure 3: In the same time domain frequency signal output system, as the frequency of the output signal becomes larger, the peak-to-peak value of the signal will become smaller, as shown in the figure above. Therefore, when the signal frequency generated by the traditional PLL phase-locked loop circuit becomes smaller, the peak-to-peak value of the pre-stage signal obtained will become larger, and the voltage-controlled voltage VY+KV PP obtained through the implementation of this patent will become larger (actually V PP becomes larger), after acting on the voltage-controlled local oscillator, the signal frequency output by the voltage-controlled local oscillator will become larger (because in practice, a voltage-controlled local oscillator with a positive voltage-controlled slope is selected), which plays a compensation role.
关于校准模块About the calibration module
如图4所示,压控本振信号经隔离放大器分别送至DDS1和DDS2:As shown in Figure 4, the voltage-controlled local oscillator signal is sent to DDS1 and DDS2 respectively through the isolation amplifier:
当压控本振频率为上百兆甚至几百兆赫兹时,考虑到走时计数器对压控本振范围的限制,在本发明中设计其中一路DDS2模块对压控本振信号进行1/100分频处理。压控本振经隔离放大器后直接送入DDS2的外部时钟输入端,作为DDS2工作时的参考时钟。When the frequency of the voltage-controlled local oscillator is hundreds of megahertz or even hundreds of megahertz, considering the limit of the travel time counter on the range of the voltage-controlled local oscillator, one of the DDS2 modules is designed in the present invention to divide the voltage-controlled local oscillator signal into 1/100 frequency processing. The voltage-controlled local oscillator is directly sent to the external clock input terminal of DDS2 after passing through the isolation amplifier, and serves as the reference clock when DDS2 is working.
实际选用的DDS芯片内部有2个48位频率控制寄存器(F0、F1),对于本装置不使用DDS内部PLL倍频功能时,48位的频率控制寄存器F0全填充1时,DDS会有压控本振满频率信号输出,因此为得到标准的频率信号输出至用户端,需要对DDS中频率控制寄存器F0设置相应的分频数值,具体计算的方法是:The actual selected DDS chip has two 48-bit frequency control registers (F0, F1) inside. When this device does not use the DDS internal PLL frequency multiplication function, when the 48-bit frequency control register F0 is filled with all 1s, the DDS will have a voltage control The local oscillator outputs a full frequency signal. Therefore, in order to obtain a standard frequency signal and output it to the user end, it is necessary to set the corresponding frequency division value in the frequency control register F0 in DDS. The specific calculation method is:
(2) (2)
其中,D为所需要计算的具体分频数值,f0为压控本振输出信号频率。DDS的外部通讯端口连接至中央处理器,中央处理器根据式(2)得到的248×10-2分频数值通过串行通讯时序写入DDS2缓存区,经DDS2得到的1/100分频率信号后,送至走时计数器1进行粗频率测量,中央处理器读取锁存器1对走时计数器1取样的数值后,记录下此时的频率数值,乘以100后便可得到压控本振的粗频率值F。Among them, D is the specific frequency division value that needs to be calculated, and f 0 is the voltage-controlled local oscillator output signal frequency. The external communication port of DDS is connected to the central processor. The central processor writes the 2 48 × 10 -2 frequency division value obtained according to equation (2) into the DDS2 cache area through the serial communication timing. The 1/100 division frequency obtained through DDS2 After receiving the signal, it is sent to travel time counter 1 for coarse frequency measurement. After the central processor reads the value sampled by latch 1 on travel time counter 1, it records the frequency value at this time. After multiplying by 100, the voltage controlled local oscillator can be obtained. The coarse frequency value F.
另一路经过隔离放大器的压控本振被送至DDS1的外部时钟输入端,作为DDS1工作时的参考时钟。同时DDS1的外部通讯端口连接至中央处理器,中央处理器根据式(2)计算得到与DDS1通讯用的分频数值:,其中F为通过走时计数器1计数、中央处理器运算得到的压控本振的粗频率值,f为欲输送至用户端的射频信号频率值。并通过串行通讯时序将所得的具体分频数值写入DDS1缓存区,经DDS1后得到频率信号,将所得的频率信号再送至低通滤波模块后得到最终的频率信号输出。Another voltage-controlled local oscillator that passes through the isolation amplifier is sent to the external clock input of DDS1 as the reference clock when DDS1 is working. At the same time, the external communication port of DDS1 is connected to the central processor, and the central processor calculates the frequency division value for communication with DDS1 according to equation (2): , where F is the coarse frequency value of the voltage-controlled local oscillator obtained by counting with the travel time counter 1 and calculated by the central processor, and f is the frequency value of the radio frequency signal to be transmitted to the user end. And write the specific frequency division value obtained into the DDS1 buffer area through the serial communication sequence. After passing through DDS1, the frequency signal is obtained. The obtained frequency signal is then sent to the low-pass filter module to obtain the final frequency signal output.
本发明的不局限于上述实施例,本发明的上述各个实施例的技术方案彼此可以交叉组合形成新的技术方案,另外凡采用等同替换形成的技术方案,均落在本发明要求的保护范围内。The present invention is not limited to the above-mentioned embodiments. The technical solutions of the above-mentioned embodiments of the present invention can be cross-combined with each other to form new technical solutions. In addition, any technical solution formed by using equivalent substitutions falls within the protection scope required by the present invention. .
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