WO2020192093A1 - D8psk coherent demodulation method and system - Google Patents

D8psk coherent demodulation method and system Download PDF

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WO2020192093A1
WO2020192093A1 PCT/CN2019/111787 CN2019111787W WO2020192093A1 WO 2020192093 A1 WO2020192093 A1 WO 2020192093A1 CN 2019111787 W CN2019111787 W CN 2019111787W WO 2020192093 A1 WO2020192093 A1 WO 2020192093A1
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phase
unit
value
frequency offset
symbol
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PCT/CN2019/111787
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Chinese (zh)
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胡勇
宋大凤
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成都天奥信息科技有限公司
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/18Phase-modulated carrier systems, i.e. using phase-shift keying
    • H04L27/22Demodulator circuits; Receiver circuits
    • H04L27/227Demodulator circuits; Receiver circuits using coherent demodulation
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L7/00Arrangements for synchronising receiver with transmitter
    • H04L7/02Speed or phase control by the received code signals, the signals containing no special synchronisation information
    • H04L7/033Speed or phase control by the received code signals, the signals containing no special synchronisation information using the transitions of the received signal to control the phase of the synchronising-signal-generating means, e.g. using a phase-locked loop
    • H04L7/0331Speed or phase control by the received code signals, the signals containing no special synchronisation information using the transitions of the received signal to control the phase of the synchronising-signal-generating means, e.g. using a phase-locked loop with a digital phase-locked loop [PLL] processing binary samples, e.g. add/subtract logic for correction of receiver clock

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  • the present invention relates to the field of ground-to-air communication, in particular to a D8PSK coherent demodulation method and system.
  • the present invention provides a D8PSK coherent demodulation method and system, which solves the technical problem that the existing D8PSK coherent demodulation method needs to consume a large amount of storage resources and arithmetic units, and the engineering practice is difficult.
  • the method proposes a multilevel based on Gardner Symbol synchronization and the phase synchronization algorithm based on D8PSK differential demodulation feedback greatly reduce the amount of calculation, which is conducive to engineering practice.
  • the band-pass filter receives the sampled modulation signal sent by AD sampling and performs band-pass filtering
  • the frame synchronization unit performs correlation operations on the received signal and the locally pre-stored unique word, looks for the frame synchronization mark, and sends the mark to the corresponding unit;
  • this application also provides a D8PSK coherent demodulation system, which includes:
  • Band-pass filter 2 low-pass filters, symbol synchronization unit, differential demodulation unit, phase-locked loop unit, frequency offset estimation unit, frame synchronization unit, parallel-serial conversion unit;
  • the receiving end multiplies the received signal with the local carrier wave and then passes it through low-pass filtering to obtain two orthogonal baseband signals I(t) and Q(t) with frequency offset; locally known unique word sequence of sync header
  • the baseband modulation of is I L (t) and Q L (t):
  • ⁇ f are the frequency offset and phase offset of the local carrier and the received carrier, ⁇ k is the mapping phase of the corresponding symbol, k is the sequence number of the modulation, and t is the time variable; the received and local baseband signals are represented by complex numbers as r b (t), l b (t):
  • Equation 1-11 For D8PSK signals, Equation 1-11 becomes:
  • ⁇ t (k) 0; if the timing is advanced, ⁇ t (k) ⁇ 0; if the timing is lagging, ⁇ t (k)> 0.
  • ⁇ k (n) is the sampling value of the k-th modulation in accordance with the corresponding phase
  • n the signal sampling point
  • k the symbol sequence number
  • the in-phase and quadrature baseband difference components at the k-th symbol decision point are extracted as I k and Q k , respectively.
  • the in-phase and quadrature baseband components at each symbol decision are denoted as I k-1 and Q k-1 respectively , then:
  • ⁇ k has Eight possible values, first pass (I′ k , Q′ k ) to rotate the composed vector counterclockwise by angle Get the sine values a, b, c, d of the rotated vector:
  • This method proposes multi-level symbol synchronization based on Gardner and a phase synchronization algorithm based on D8PSK differential demodulation feedback, which greatly reduces the amount of calculation and is beneficial to engineering practice.
  • Figure 1 is a block diagram of the implementation of the D8PSK coherent demodulation method
  • Figure 2 is a schematic diagram of Gardner.
  • This application provides an implementation block diagram of a new D8PSK coherent demodulation method as shown in Figure 1.
  • This method includes:
  • the band-pass filter receives the sampled modulation signal sent by AD sampling, performs band-pass filtering, and suppresses out-of-band interference and noise;
  • the frame synchronization unit performs correlation operations on the received signal and the locally pre-stored unique word, looks for the frame synchronization mark, and sends the mark to other modules that need it;
  • the differential demodulation unit and the phase-locked loop unit work together: After receiving the frame synchronization mark, the differential demodulation judges the best sampling point according to the judgment algorithm, and then feeds the judgment result (phase value) back to the phase-locked loop , The phase-locked loop starts to work, and estimates the residual phase deviation based on the received value and the feedback value, and then converts the phase deviation value into a frequency deviation value, which is sent to the NCO as a fine frequency deviation estimate value to adjust the local carrier, differential demodulation and lock The phase loop iteratively loops so that the entire loop is locked;
  • the sampled output is sent to band-pass filtering, and then down-converted; after symbol synchronization, the open-loop frequency offset estimation of the sync head is used to adjust the carrier frequency offset caused by Doppler; the differential demodulation is after the symbol synchronization, Because the coarse frequency offset compensation has been completed, the differential demodulation can estimate a more accurate demodulation phase, which is then sent to the phase-locked loop for fine frequency offset estimation.
  • the principle of open-loop frequency offset estimation is waveform correlation, so the frame synchronization position can be found through the synchronization header. Therefore, the frame synchronization flag can be sent while the open-loop frequency offset is estimated. This flag can be used to start a phase-locked loop, and at the same time it can also track and switch symbol synchronization.
  • the receiving end multiplies the received signal with the local carrier and passes it through low-pass filtering to obtain two orthogonal baseband signals I(t) and Q(t) with frequency offset.
  • the locally known baseband modulation of the unique word sequence of the sync header is I L (t) and Q L (t).
  • ⁇ f are the frequency offset and phase offset of the local carrier and the received carrier respectively
  • ⁇ k is the mapping phase of the corresponding symbol
  • k is the sequence number of the modulation coincidence
  • t is the time variable.
  • the received and local baseband signals are represented by complex numbers as r b (t), l b (t):
  • j is an imaginary unit
  • y(n) is used as the cross-correlation function between the synchronization header of the received signal and the local synchronization header, and frame synchronization can be performed according to its peak point.
  • the Gardner synchronization recovery algorithm is similar to the phase-locked loop technology, except that a unique synchronization comparison method is added on the basis of the lead-lag gate control, and the timing recovery of this method is independent of the carrier phase.
  • the theoretical basis is as follows: Symbols are transmitted synchronously at a time interval T. One sampling point appears at the peak moment of the current symbol, and the other sampling point appears at the middle moment of the two peak data.
  • y I (k) and y Q (k) are used to represent the sample points at the data strobe time of the k-th symbol
  • y Q (k-1 /2) represents the sample point located at the intermediate moment between the kth and k-1th symbols
  • ⁇ t (k) is the timing error signal.
  • Equation 1-11 Equation 1-11 becomes:
  • a I [y I (k)+y I (k-1)]/2
  • a Q [y Q (k)+y Q (k-1)]/2
  • ⁇ t (k) 0; if the timing is advanced, ⁇ t (k) ⁇ 0; if the timing is lagging, ⁇ t (k)> 0.
  • ⁇ k (n) is the sampling value of the k-th modulation in accordance with the corresponding phase
  • the in-phase and quadrature baseband difference components at the k-th symbol decision point are extracted as I k and Q k , and the k-1 symbol
  • the in-phase and quadrature baseband components at the judgment are denoted as I k-1 and Q k-1 respectively , then:

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  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Digital Transmission Methods That Use Modulated Carrier Waves (AREA)
  • Synchronisation In Digital Transmission Systems (AREA)

Abstract

Disclosed are a D8PSK coherent demodulation method and system. The method comprises: a band-pass filter receiving a sampling modulation signal sent by AD sampling, and carrying out the band-pass filtering; processing two paths of output signals of the band-pass filter to obtain baseband signals of an in-phase path and an orthogonal path; processing the baseband signals of the in-phase path and the orthogonal path to obtain two orthogonal paths of values of the optimal judgment sampling point of each symbol; feeding the two acquired orthogonal paths of values of the optimal judgment sampling point into a differential demodulation unit, a phase-locked loop unit, a frequency offset estimation unit and a frame synchronization unit at the same time; and sending a differential decomposition modulation value to a parallel-to-serial conversion unit, and converting parallel input into serial output, to obtain a final demodulation sequence. According to the method, a Gardner-based multi-level code element synchronization algorithm and a D8PSK difference decomposition modulation feedback-based phase synchronization algorithm are provided, so that the calculated amount is reduced to a great extent, and engineering practice is facilitated.

Description

一种D8PSK相干解调方法及系统A D8PSK coherent demodulation method and system 技术领域Technical field
本发明涉及地空通信领域,具体地,涉及一种D8PSK相干解调方法及系统。The present invention relates to the field of ground-to-air communication, in particular to a D8PSK coherent demodulation method and system.
背景技术Background technique
民航地空通信以及由模拟话音通信逐渐向数据链路通信过度。地空数据链将逐步在民航地空通信中发挥重要作用。飞机通信寻址与报告系统(ACARS)作为当前的主要地空数据链通信手段,存在着速率低、面向字符传输、保密性差的确定。ACARS以及无法满足当前空地间大容量、高速、低延迟的应用需求。航空电信网(ATN)将取代ACARS作为下一代航空通信网络,其支持的地空数据链--VDL M2相比ACARS数据链拥有更高的速率、面向比特传输、可加密、低延迟等优点。因此VDL M2将作为将来地空数据链通信的主要方式。Civil aviation ground-to-air communications and the transition from analog voice communications to data link communications gradually. The ground-air data link will gradually play an important role in civil aviation ground-air communications. The Aircraft Communication Addressing and Reporting System (ACARS), as the current main ground-to-air data link communication method, has the certainty of low rate, character-oriented transmission, and poor confidentiality. ACARS and cannot meet the current high-capacity, high-speed, and low-latency application requirements between the air and ground. The Aeronautical Telecommunications Network (ATN) will replace ACARS as the next-generation aeronautical communication network. The ground-to-air data link supported by it-VDL M2 has the advantages of higher speed, bit-oriented transmission, encryption, and low latency compared to the ACARS data link. Therefore, VDL M2 will be the main method of ground-to-air data link communication in the future.
VDL M2的物理层采用的D8PSK调制。作为多进制差分相移键控调制技术,D8PSK存在高解调信噪比门限高、对频偏和相偏敏感等难点。传统的基于科斯塔斯环原理的双正交相干解调技术结构复杂,四路独立判决,需要准确产生四路独立且依次相差π/4的本地相关载波。在数字域要准确得到四路相移准确的载波信号需要消耗大量的存储资源和运算单元。四路独立计算需要更多的乘法器和加法器,工程实践困难。The physical layer of VDL M2 uses D8PSK modulation. As a multi-band differential phase-shift keying modulation technology, D8PSK has difficulties such as high demodulation signal-to-noise ratio threshold and sensitivity to frequency deviation and phase deviation. The traditional biorthogonal coherent demodulation technology based on the principle of the Costas ring has a complex structure, and four independent judgments need to accurately generate four independent local correlation carriers that are sequentially different by π/4. In the digital domain, it takes a lot of storage resources and arithmetic units to accurately obtain four-channel phase-shifted carrier signals. Four independent calculations require more multipliers and adders, and engineering practice is difficult.
发明内容Summary of the invention
本发明提供了一种D8PSK相干解调方法及系统,解决了现有的D8PSK相干解调方法需要消耗大量的存储资源和运算单元,工程实践困难的技术问题,本方法提出基于Gardner的多电平码元同步和基于D8PSK差分解调反馈的相位同步算法,很大程度上减轻了计算量,利于工程实践。The present invention provides a D8PSK coherent demodulation method and system, which solves the technical problem that the existing D8PSK coherent demodulation method needs to consume a large amount of storage resources and arithmetic units, and the engineering practice is difficult. The method proposes a multilevel based on Gardner Symbol synchronization and the phase synchronization algorithm based on D8PSK differential demodulation feedback greatly reduce the amount of calculation, which is conducive to engineering practice.
为实现上述发明目的,本申请已方面提供了一种D8PSK相干解调方法,所述方法包括:In order to achieve the above-mentioned object of the invention, this application has provided a D8PSK coherent demodulation method, and the method includes:
带通滤波器接收AD采样送来的采样调制信号,进行带通滤波;The band-pass filter receives the sampled modulation signal sent by AD sampling and performs band-pass filtering;
将带通滤波器的两路输出信号分别同时与同相载波和正交载波相乘,再将乘积分别送入2路低通滤波器,得到同相之路和正交之路的基带信号;Multiply the two output signals of the band-pass filter with the in-phase carrier and the quadrature carrier at the same time, and then send the products to the two low-pass filters to obtain the baseband signals of the in-phase road and the quadrature road;
将同相之路和正交之路的基带信号送入符号同步单元,进行符号同步运算,并完成符号最近采样点判决和抽取采样,得到每个符号的最佳判决采样点的正交两路值;Send the baseband signals of the in-phase road and the quadrature road to the symbol synchronization unit, perform symbol synchronization operation, and complete the symbol nearest sampling point decision and decimation sampling to obtain the orthogonal two-way value of the best decision sampling point of each symbol ;
将获得的最佳判决采样点的正交两路值同时送入差分解调单元、锁相环单元、频偏估计单元和帧同步单元;Send the obtained orthogonal two-way value of the best decision sampling point to the differential demodulation unit, phase-locked loop unit, frequency offset estimation unit and frame synchronization unit at the same time;
帧同步单元将接收到的信号与本地预存独特字进行相关运算,寻找帧同步标志,并将该标志送给相应的单元;The frame synchronization unit performs correlation operations on the received signal and the locally pre-stored unique word, looks for the frame synchronization mark, and sends the mark to the corresponding unit;
频偏估计单元根据接收信号与本地预存独特字的相关性,逐点运算频偏值,直到收到帧 同步标志,则此时运算得到的频偏值即为粗频偏估计值,并将该值送入数字控制振荡器中补偿本地载波频率偏差;The frequency offset estimation unit calculates the frequency offset value point by point according to the correlation between the received signal and the local pre-stored unique word, until the frame synchronization mark is received, the frequency offset value obtained at this time is the rough frequency offset estimation value, and the The value is sent to the digital control oscillator to compensate the local carrier frequency deviation;
差分解调单元和锁相环单元协同工作:在收到帧同步标志后,差分解调单元根据判决算法,对最佳采样点进行判决,然后将判决结果反馈给锁相环单元,锁相环单元开始工作,并根据接收值和反馈值估计残留相偏,然后将该相偏值换算为频偏值,作为细频偏估计值送入数字控制振荡器,调节本地载波,差分解调单元和锁相环单元如此迭代循环;The differential demodulation unit and the phase-locked loop unit work together: after receiving the frame synchronization mark, the differential demodulation unit judges the best sampling point according to the decision algorithm, and then feeds the decision result back to the phase-locked loop unit, the phase-locked loop The unit starts to work, and estimates the residual phase deviation according to the received value and the feedback value, and then converts the phase deviation value into a frequency deviation value, which is sent to the digital control oscillator as a fine frequency deviation estimate value, adjusts the local carrier, the differential demodulation unit and The phase-locked loop unit loops in this way;
差分解调值送入并串转换单元,将并行输入转换为串行输出,得到最终解调序列。The differential demodulation value is sent to the parallel-serial conversion unit, and the parallel input is converted into the serial output to obtain the final demodulation sequence.
另一方面,本申请还提供了一种D8PSK相干解调系统,所述系统包括:On the other hand, this application also provides a D8PSK coherent demodulation system, which includes:
带通滤波器、2个低通滤波器、符号同步单元、差分解调单元、锁相环单元、频偏估计单元、帧同步单元、并串转换单元;Band-pass filter, 2 low-pass filters, symbol synchronization unit, differential demodulation unit, phase-locked loop unit, frequency offset estimation unit, frame synchronization unit, parallel-serial conversion unit;
其中,系统的工作过程为:带通滤波器接收AD采样送来的采样调制信号,进行带通滤波;将带通滤波器的两路输出信号分别同时与同相载波和正交载波相乘,再将乘积分别送入2路低通滤波器,得到同相之路和正交之路的基带信号;将同相之路和正交之路的基带信号送入符号同步单元,进行符号同步运算,并完成符号最近采样点判决和抽取采样,得到每个符号的最佳判决采样点的正交两路值;将获得的最佳判决采样点的正交两路值同时送入差分解调单元、锁相环单元、频偏估计单元和帧同步单元;帧同步单元将接收到的信号与本地预存独特字进行相关运算,寻找帧同步标志,并将该标志送给相应的单元;频偏估计单元根据接收信号与本地预存独特字的相关性,逐点运算频偏值,直到收到帧同步标志,则此时运算得到的频偏值即为粗频偏估计值,并将该值送入数字控制振荡器中补偿本地载波频率偏差;差分解调单元和锁相环单元协同工作:在收到帧同步标志后,差分解调单元根据判决算法,对最佳采样点进行判决,然后将判决结果反馈给锁相环单元,锁相环单元开始工作,并根据接收值和反馈值估计残留相偏,然后将该相偏值换算为频偏值,作为细频偏估计值送入数字控制振荡器,调节本地载波,差分解调单元和锁相环单元如此迭代循环;差分解调值送入并串转换单元,将并行输入转换为串行输出,得到最终解调序列。Among them, the working process of the system is as follows: the band-pass filter receives the sampled modulation signal sent by AD sampling, and performs band-pass filtering; the two output signals of the band-pass filter are simultaneously multiplied by the in-phase carrier and the quadrature carrier, and then Send the product to two low-pass filters to obtain the baseband signals of the in-phase road and the quadrature road; send the baseband signals of the in-phase road and the quadrature road to the symbol synchronization unit, perform symbol synchronization operations, and complete The symbol’s nearest sampling point is judged and sampled to obtain the orthogonal two-way value of the best judged sampling point of each symbol; the obtained orthogonal two-way value of the best judged sampling point is simultaneously sent to the differential demodulation unit, and phase locked The loop unit, the frequency offset estimation unit and the frame synchronization unit; the frame synchronization unit performs correlation operations between the received signal and the locally pre-stored unique words, finds the frame synchronization flag, and sends the flag to the corresponding unit; the frequency offset estimation unit receives The correlation between the signal and the local pre-stored unique word, the frequency offset value is calculated point by point, until the frame synchronization mark is received, the frequency offset value obtained at this time is the rough frequency offset estimated value, and the value is sent to the digital control oscillation The local carrier frequency deviation is compensated in the device; the differential demodulation unit and the phase-locked loop unit work together: after receiving the frame synchronization mark, the differential demodulation unit judges the best sampling point according to the decision algorithm, and then feeds the decision result back to The phase-locked loop unit, the phase-locked loop unit starts to work, and estimates the residual phase deviation based on the received value and the feedback value, and then converts the phase deviation value into a frequency deviation value, which is sent to the digital control oscillator as a fine frequency deviation estimate value for adjustment The local carrier, the differential demodulation unit and the phase-locked loop unit loop iteratively in this way; the differential demodulation value is sent to the parallel-serial conversion unit, and the parallel input is converted into the serial output to obtain the final demodulation sequence.
进一步的,接收端将接收信号与本地载波相乘后通过低通滤波,得到正交的两路带频偏的基带信号I(t)和Q(t);本地已知的同步头独特字序列的基带调制为I L(t)和Q L(t): Further, the receiving end multiplies the received signal with the local carrier wave and then passes it through low-pass filtering to obtain two orthogonal baseband signals I(t) and Q(t) with frequency offset; locally known unique word sequence of sync header The baseband modulation of is I L (t) and Q L (t):
Figure PCTCN2019111787-appb-000001
Figure PCTCN2019111787-appb-000001
Figure PCTCN2019111787-appb-000002
Figure PCTCN2019111787-appb-000002
I L(t)=cos(θ k)……1-3 I L (t)=cos(θ k )……1-3
Q L(t)=sin(θ k)……1-4 Q L (t)=sin(θ k )……1-4
其中,Δf,
Figure PCTCN2019111787-appb-000003
分别为本地载波与接收载波的频偏和相偏,θ k为对应符号的映射相位,k为 调制符合的序号,t为时间变量;将接收的和本地的基带信号分别用复数表示为r b(t),l b(t):
Where Δf,
Figure PCTCN2019111787-appb-000003
Are the frequency offset and phase offset of the local carrier and the received carrier, θ k is the mapping phase of the corresponding symbol, k is the sequence number of the modulation, and t is the time variable; the received and local baseband signals are represented by complex numbers as r b (t), l b (t):
Figure PCTCN2019111787-appb-000004
Figure PCTCN2019111787-appb-000004
Figure PCTCN2019111787-appb-000005
Figure PCTCN2019111787-appb-000005
其中,j为虚数单位;Among them, j is an imaginary unit;
对I b(t)取共轭并与r b(t)得: Take the conjugate of I b (t) and combine with r b (t) to get:
Figure PCTCN2019111787-appb-000006
Figure PCTCN2019111787-appb-000006
对P(t)进行间隔为T s的抽样,则第n和第n+1时的符号分别为P(n),P(n+1): Sampling P(t) with an interval of T s , then the symbols at the nth and n+1th time are P(n) and P(n+1):
Figure PCTCN2019111787-appb-000007
Figure PCTCN2019111787-appb-000007
Figure PCTCN2019111787-appb-000008
Figure PCTCN2019111787-appb-000008
将P(n)取共轭并与P(n+1)相乘得到y(n):Take the conjugate of P(n) and multiply it by P(n+1) to get y(n):
Figure PCTCN2019111787-appb-000009
Figure PCTCN2019111787-appb-000009
Δf=1/(2πT s)angle(y(n))……1-11 Δf=1/(2πT s )angle(y(n))……1-11
对所有的同步头独特字序列符号进行上述计算,将得到的值进行平均,求得频偏的较优估计;y(n)作为接收信号同步头与本地同步头的互相关函数,根据其峰值点进行帧同步。Perform the above calculation on all the sync header unique word sequence symbols, average the obtained values to obtain a better estimate of the frequency offset; y(n) is used as the cross-correlation function of the received signal sync header and the local sync header, according to its peak value Click for frame synchronization.
进一步的,用y I(k)、y Q(k)表示第k个码元的数据选通时刻的样值点,y I(k-1/2)、y Q(k-1/2)表示位于第k个和第k-1个码元的中间时刻的样值点,定时误差检测算法表示为: Further, use y I (k) and y Q (k) to represent the sample point at the time of data gating of the k-th symbol, y I (k-1/2), y Q (k-1/2) Represents the sample point at the intermediate moment between the kth and k-1th symbols, and the timing error detection algorithm is expressed as:
μ t(k)=y I(k-1/2)[y I(k)-y I(k-1)]+y Q(k-1/2)[y Q(k)-y Q(k-1)]……1-11 μ t (k)=y I (k-1/2)[y I (k)-y I (k-1)]+y Q (k-1/2)[y Q (k)-y Q ( k-1)]……1-11
其中μ t(k)是定时误差信号;定时误差器在I和Q两个通道的每一个峰值位置之间的中间位置点进行采样;如果没有定时误差,则μ t(k)的值应该为零;如果μ t(k)的值不为零,则用μ t(k)的值表示定时误差的大小;如果定时准确,则μ t(k)=0;如果定时超前,μ t(k)<0;如果定时滞后,μ t(k)>0; Among them, μ t (k) is the timing error signal; the timing error device samples the midpoint between each peak position of the I and Q channels; if there is no timing error, the value of μ t (k) should be zero; if the values μ t (k) is not zero, then the values μ t (k) represents the magnitude of the timing error; if the timing accuracy, the μ t (k) = 0; if timing advance, μ t (k )<0; if the timing is lagging, μ t (k)>0;
对于D8PSK信号而言,式1-11变为:For D8PSK signals, Equation 1-11 becomes:
μ t(k)=[y I(k-1/2)-a I][y I(k)-y I(k-1)]+[y Q(k-1/2)-a Q][y Q(k)-y Q(k-1……1-12 μ t (k)=[y I (k-1/2)-a I ][y I (k)-y I (k-1)]+[y Q (k-1/2)-a Q ] [y Q (k)-y Q (k-1……1-12
其中:among them:
a I=[y I(k)+y I(k-1)]/2,a Q=[y Q(k)+y Q(k-1)]/2 a I =[y I (k)+y I (k-1)]/2, a Q =[y Q (k)+y Q (k-1)]/2
同理,如果定时准确,则μ t(k)=0;如果定时超前,μ t(k)<0;如果定时滞后,μ t(k)>0。 Similarly, if the timing is accurate, μ t (k) = 0; if the timing is advanced, μ t (k) <0; if the timing is lagging, μ t (k)> 0.
进一步的,假设经过频偏估计和补偿后残留数字频偏为Δω,通信过程引入的相偏为
Figure PCTCN2019111787-appb-000010
则同相支路和正交支路的滤波器输出分别为:
Further, assuming that the residual digital frequency offset after frequency offset estimation and compensation is Δω, the phase offset introduced in the communication process is
Figure PCTCN2019111787-appb-000010
Then the filter outputs of the in-phase branch and the quadrature branch are:
Figure PCTCN2019111787-appb-000011
Figure PCTCN2019111787-appb-000011
Figure PCTCN2019111787-appb-000012
Figure PCTCN2019111787-appb-000012
其中,θ k(n)为第k个调制符合对应相位的采样值; Among them, θ k (n) is the sampling value of the k-th modulation in accordance with the corresponding phase;
经过符号同步后,抽样进行差分运算后得到新的正交两路信号,分别为I new(k),Q new(k): After symbol synchronization, two new orthogonal signals are obtained after sampling and differential operation, which are I new (k) and Q new (k):
Figure PCTCN2019111787-appb-000013
Figure PCTCN2019111787-appb-000013
Figure PCTCN2019111787-appb-000014
Figure PCTCN2019111787-appb-000014
n代表信号采样点,k代表符号序号;假设此时判决到抽样点的映射相位增量为Δθ′ k,通过开环频偏估计补偿后,得到: n represents the signal sampling point, and k represents the symbol sequence number; assuming that the mapping phase increment determined to the sampling point at this time is Δθ′ k , after compensation by open-loop frequency offset estimation, we get:
Δθ′ k≈Δθ k……1-4-5 Δθ′ k ≈Δθ k ……1-4-5
计算:Calculation:
Figure PCTCN2019111787-appb-000015
Figure PCTCN2019111787-appb-000015
Figure PCTCN2019111787-appb-000016
Figure PCTCN2019111787-appb-000016
Figure PCTCN2019111787-appb-000017
Figure PCTCN2019111787-appb-000017
Figure PCTCN2019111787-appb-000018
Figure PCTCN2019111787-appb-000018
设有变量ΔI和ΔQ,且有如下运算关系:There are variables ΔI and ΔQ, and have the following calculation relationships:
Figure PCTCN2019111787-appb-000019
Figure PCTCN2019111787-appb-000019
Figure PCTCN2019111787-appb-000020
Figure PCTCN2019111787-appb-000020
残留频偏所引起的相位为:Δω=arctan(ΔQ/ΔI),由此得到细频偏估计值。The phase caused by the residual frequency offset is: Δω=arctan(ΔQ/ΔI), from which the fine frequency offset estimation value is obtained.
进一步的,经过粗频偏估计补偿和细频偏估计补偿后,经过符号同步后抽取第k个码元判决处的同相和正交基带差分量分别记做I k和Q k,第k-1个码元判决处的同相和正交基带分量分别记做I k-1和Q k-1,则有: Further, after coarse frequency offset estimation and compensation and fine frequency offset estimation and compensation, after symbol synchronization, the in-phase and quadrature baseband difference components at the k-th symbol decision point are extracted as I k and Q k , respectively. The in-phase and quadrature baseband components at each symbol decision are denoted as I k-1 and Q k-1 respectively , then:
I k=1/2 cos(θ k)……1-23 I k =1/2 cos(θ k )……1-23
Q k=1/2 sin(θ k)……1-24 Q k =1/2 sin(θ k )……1-24
I k-1=1/2 cos(θ k-1)……1-25 I k-1 =1/2 cos(θ k-1 )……1-25
Q k-1=1/2 sin(θ k-1)……1-26 Q k-1 =1/2 sin(θ k-1 )……1-26
令Δθ k=θ kk-1,I′ k=cos(Δθ k),Q′ k=sin(Δθ k)则有: Let Δθ k = θ kk-1 , I′ k = cos(Δθ k ), Q′ k = sin(Δθ k ), then:
Figure PCTCN2019111787-appb-000021
Figure PCTCN2019111787-appb-000021
Figure PCTCN2019111787-appb-000022
Figure PCTCN2019111787-appb-000022
进一步的,在D8PSK信号基带差分解调时,Δθ k
Figure PCTCN2019111787-appb-000023
八种可能取值,首先通过(I′ k,Q′ k)将组成的向量分别逆时针旋转角度
Figure PCTCN2019111787-appb-000024
分别得到旋转后的向量的正弦值a,b,c,d:
Further, in the baseband differential demodulation of the D8PSK signal, Δθ k has
Figure PCTCN2019111787-appb-000023
Eight possible values, first pass (I′ k , Q′ k ) to rotate the composed vector counterclockwise by angle
Figure PCTCN2019111787-appb-000024
Get the sine values a, b, c, d of the rotated vector:
Figure PCTCN2019111787-appb-000025
Figure PCTCN2019111787-appb-000025
根据D8PSK的相位映射表和a,b,c,d的符号判断求得码元:According to the phase mapping table of D8PSK and the symbol judgment of a, b, c, d, the symbol is obtained:
a>0,b>0,c>0,d>0=>000;a>0,b>0,c>0,d<0=>001;a>0,b>0,c>0,d>0=>000; a>0,b>0,c>0,d<0=>001;
a>0,b>0,c<0,d<0=>011;a>0,b<0,c<0,d<0=>010;a>0,b>0,c<0,d<0=>011; a>0,b<0,c<0,d<0=>010;
a<0,b<0,c<0,d<0=>110;a<0,b<0,c<0,d>0=>111;a<0,b<0,c<0,d<0=>110; a<0,b<0,c<0,d>0=>111;
a<0,b<0,c>0,d>0=>101;a<0,b>0,c>0,d>0=>100;a<0,b<0,c>0,d>0=>101; a<0,b>0,c>0,d>0=>100;
至此,完成了D8PSK的相干解调。So far, the coherent demodulation of D8PSK is completed.
本申请提供的一个或多个技术方案,至少具有如下技术效果或优点:One or more technical solutions provided by this application have at least the following technical effects or advantages:
本方法提出基于Gardner的多电平码元同步和基于D8PSK差分解调反馈的相位同步算法,很大程度上减轻了计算量,利于工程实践。This method proposes multi-level symbol synchronization based on Gardner and a phase synchronization algorithm based on D8PSK differential demodulation feedback, which greatly reduces the amount of calculation and is beneficial to engineering practice.
附图说明Description of the drawings
此处所说明的附图用来提供对本发明实施例的进一步理解,构成本申请的一部分,并不构成对本发明实施例的限定;The drawings described here are used to provide a further understanding of the embodiments of the present invention, constitute a part of the application, and do not constitute a limitation to the embodiments of the present invention;
图1是D8PSK相干解调方法的实现框图;Figure 1 is a block diagram of the implementation of the D8PSK coherent demodulation method;
图2是Gardner示意图。Figure 2 is a schematic diagram of Gardner.
具体实施方式detailed description
为了能够更清楚地理解本发明的上述目的、特征和优点,下面结合附图和具体实施方式对本发明进行进一步的详细描述。需要说明的是,在相互不冲突的情况下,本申请的实施例及实施例中的特征可以相互组合。In order to be able to understand the above objectives, features and advantages of the present invention more clearly, the present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments. It should be noted that the embodiments of the present application and the features in the embodiments can be combined with each other if they do not conflict with each other.
在下面的描述中阐述了很多具体细节以便于充分理解本发明,但是,本发明还可以采用其他不同于在此描述范围内的其他方式来实施,因此,本发明的保护范围并不受下面公开的具体实施例的限制。In the following description, many specific details are set forth in order to fully understand the present invention. However, the present invention can also be implemented in other ways different from the scope described here. Therefore, the protection scope of the present invention is not disclosed below. Limitations of specific embodiments.
本申请提供了一种新的D8PSK相干解调方法的实现框图如图1所示。本方法包括:This application provides an implementation block diagram of a new D8PSK coherent demodulation method as shown in Figure 1. This method includes:
1)带通滤波器接收AD采样送来的采样调制信号,进行带通滤波,抑制带外干扰和噪声;1) The band-pass filter receives the sampled modulation signal sent by AD sampling, performs band-pass filtering, and suppresses out-of-band interference and noise;
2)将带通滤波器的输出信号分别同时与同相载波(cos)和正交载波(sin)相乘,再将乘积分别送入低通滤波器,滤除高频分量,得到同相和正交之路的基带信号;2) Multiply the output signal of the band-pass filter with the in-phase carrier (cos) and quadrature carrier (sin) simultaneously, and then send the products to the low-pass filter to filter out high-frequency components to obtain in-phase and quadrature The baseband signal of the road;
3)同相与正交之路的基带信号送入符号同步单元,进行符号同步运算,并完成符号最近采样点判决和抽取采样,得到每个符号的最佳判决采样点的正交两路值;3) The baseband signals of the in-phase and quadrature roads are sent to the symbol synchronization unit to perform symbol synchronization operations, and complete the symbol's nearest sampling point decision and decimation sampling to obtain the orthogonal two-way value of the best decision sampling point of each symbol;
4)将符号同步得到的最佳判决采样点(正交两路)同时送入差分解调、锁相环、频偏估计和帧同步单元;4) Simultaneously send the best decision sampling points (two quadrature channels) obtained by symbol synchronization to the differential demodulation, phase-locked loop, frequency offset estimation and frame synchronization unit;
5)帧同步单元将接收到的信号与本地预存独特字进行相关运算,寻找帧同步标志,并将该标志送给其他需要的模块;5) The frame synchronization unit performs correlation operations on the received signal and the locally pre-stored unique word, looks for the frame synchronization mark, and sends the mark to other modules that need it;
6)频偏估计单元根据接收信号与本地预存独特字的相关性,逐点运算频偏值,直到收到帧同步标志,则此时运算得到的频偏值即为粗频偏估计值,并将该值送入NCO中补偿本地载波频率偏差;6) The frequency offset estimation unit calculates the frequency offset value point by point according to the correlation between the received signal and the local pre-stored unique words, until the frame synchronization flag is received, the frequency offset value obtained at this time is the rough frequency offset estimation value, and Send this value to the NCO to compensate for the local carrier frequency deviation;
7)差分解调单元和锁相环单元协同工作:在收到帧同步标志后,差分解调根据判决算法,对最佳采样点进行判决,然后将判决结果(相位值)反馈给锁相环,锁相环开始工作,并根据接收值和反馈值估计残留相偏,然后将该相偏值换算为频偏值,作为细频偏估计值送入NCO,调节本地载波,差分解调和锁相环如此迭代循环,使得整个环路锁定;7) The differential demodulation unit and the phase-locked loop unit work together: After receiving the frame synchronization mark, the differential demodulation judges the best sampling point according to the judgment algorithm, and then feeds the judgment result (phase value) back to the phase-locked loop , The phase-locked loop starts to work, and estimates the residual phase deviation based on the received value and the feedback value, and then converts the phase deviation value into a frequency deviation value, which is sent to the NCO as a fine frequency deviation estimate value to adjust the local carrier, differential demodulation and lock The phase loop iteratively loops so that the entire loop is locked;
8)差分解调值(比特)送入并串转换单元,将并行输入转换为串行输出,得到最终解调序列。8) The differential demodulation value (bit) is sent to the parallel-serial conversion unit, and the parallel input is converted into the serial output to obtain the final demodulation sequence.
工作过程为:The working process is:
AD采样后将采样输出送入带通滤波,再进行下变频;符号同步之后,通过同步头开环频偏估计,调整由于多普勒而引起的载波频偏;差分解调在符号同步之后,因为粗频偏补偿已完成,所以差分解调能估计出较准确的解调相位,然后送入锁相环路,进行细频偏估计。开环频偏估计的原理是波形相关,所以能通过同步头找到帧同步位置,因此在开环频偏估计的同时能送出帧同步标志。该标志可用于启动锁相环,同时还能对符号同步进行跟踪切换。After AD sampling, the sampled output is sent to band-pass filtering, and then down-converted; after symbol synchronization, the open-loop frequency offset estimation of the sync head is used to adjust the carrier frequency offset caused by Doppler; the differential demodulation is after the symbol synchronization, Because the coarse frequency offset compensation has been completed, the differential demodulation can estimate a more accurate demodulation phase, which is then sent to the phase-locked loop for fine frequency offset estimation. The principle of open-loop frequency offset estimation is waveform correlation, so the frame synchronization position can be found through the synchronization header. Therefore, the frame synchronization flag can be sent while the open-loop frequency offset is estimated. This flag can be used to start a phase-locked loop, and at the same time it can also track and switch symbol synchronization.
接收端将接收信号与本地载波相乘后通过低通滤波,得到正交的两路带频偏的基带信号I(t)和Q(t)。本地已知的同步头独特字序列的基带调制为I L(t)和Q L(t)。 The receiving end multiplies the received signal with the local carrier and passes it through low-pass filtering to obtain two orthogonal baseband signals I(t) and Q(t) with frequency offset. The locally known baseband modulation of the unique word sequence of the sync header is I L (t) and Q L (t).
Figure PCTCN2019111787-appb-000026
Figure PCTCN2019111787-appb-000026
Figure PCTCN2019111787-appb-000027
Figure PCTCN2019111787-appb-000027
I L(t)=cos(θ k)……1-3 I L (t)=cos(θ k )……1-3
Q L(t)=sin(θ k)……1-4 Q L (t)=sin(θ k )……1-4
其中Δf,
Figure PCTCN2019111787-appb-000028
分别为本地载波与接收载波的频偏和相偏,θ k为对应符号的映射相位,k为调制符合的序号,t为时间变量。将接收的和本地的基带信号分别用复数表示为r b(t),l b(t):
Where Δf,
Figure PCTCN2019111787-appb-000028
Are the frequency offset and phase offset of the local carrier and the received carrier respectively, θ k is the mapping phase of the corresponding symbol, k is the sequence number of the modulation coincidence, and t is the time variable. The received and local baseband signals are represented by complex numbers as r b (t), l b (t):
Figure PCTCN2019111787-appb-000029
Figure PCTCN2019111787-appb-000029
Figure PCTCN2019111787-appb-000030
Figure PCTCN2019111787-appb-000030
其中,j为虚数单位;Among them, j is an imaginary unit;
对I b(t)取共轭并与r b(t)得: Take the conjugate of I b (t) and combine with r b (t) to get:
Figure PCTCN2019111787-appb-000031
Figure PCTCN2019111787-appb-000031
对P(t)进行间隔为T s的抽样,则第n和第n+1时的符号分别为P(n),P(n+1): Sampling P(t) with an interval of T s , then the symbols at the nth and n+1th time are P(n), P(n+1):
Figure PCTCN2019111787-appb-000032
Figure PCTCN2019111787-appb-000032
Figure PCTCN2019111787-appb-000033
Figure PCTCN2019111787-appb-000033
将P(n)取共轭并与P(n+1)相乘得到y(n):Take the conjugate of P(n) and multiply it by P(n+1) to get y(n):
Figure PCTCN2019111787-appb-000034
Figure PCTCN2019111787-appb-000034
Δf=1/(2πT s)angle(y(n))……1-11 Δf=1/(2πT s )angle(y(n))……1-11
对所有的同步头独特字序列符号进行上述计算,将得到的值进行平均,可以求得频偏的较优估计。y(n)作为接收信号同步头与本地同步头的互相关函数,根据其峰值点可以进行帧同步。The above calculation is performed on all the unique word sequence symbols of the sync header, and the obtained values are averaged to obtain a better estimate of the frequency offset. y(n) is used as the cross-correlation function between the synchronization header of the received signal and the local synchronization header, and frame synchronization can be performed according to its peak point.
Gardner同步恢复算法类似于锁相环技术,只是在超前滞后门控制的基础上加入了独特的同步比较方法,并且该方法定时恢复独立于载波相位。其理论基础如下:符号以时间间隔T同步传输。一个采样点出现在当前码元的峰值时刻,另一个采样点出现在两个峰值数据的中间时刻。如图2所示,用y I(k)、y Q(k)表示第k个码元的数据选通时刻的样值点,y I(k-1/2)、y Q(k-1/2)表示位于第k个和第k-1个码元的中间时刻的样值点,那么定时误差检测算法可以表示为: The Gardner synchronization recovery algorithm is similar to the phase-locked loop technology, except that a unique synchronization comparison method is added on the basis of the lead-lag gate control, and the timing recovery of this method is independent of the carrier phase. The theoretical basis is as follows: Symbols are transmitted synchronously at a time interval T. One sampling point appears at the peak moment of the current symbol, and the other sampling point appears at the middle moment of the two peak data. As shown in Figure 2, y I (k) and y Q (k) are used to represent the sample points at the data strobe time of the k-th symbol, y I (k-1/2), y Q (k-1 /2) represents the sample point located at the intermediate moment between the kth and k-1th symbols, then the timing error detection algorithm can be expressed as:
μ t(k)=y I(k-1/2)[y I(k)-y I(k-1)]+y Q(k-1/2)[y Q(k)-y Q(k-1)]……1-11 μ t (k)=y I (k-1/2)[y I (k)-y I (k-1)]+y Q (k-1/2)[y Q (k)-y Q ( k-1)]……1-11
其中μ t(k)是定时误差信号。定时误差器在I和Q两个通道的每一个峰值位置之间的中间位置点进行采样。如果没有定时误差,那么μ t(k)的值应该为零。如果μ t(k)的值不为零,就 可以用它的值来表示定时误差的大小。所以,如果定时准确,则μ t(k)=0;如果定时超前,μ t(k)<0;如果定时滞后,μ t(k)>0。 Where μ t (k) is the timing error signal. The timing error device samples the midpoint between each peak position of the I and Q channels. If there is no timing error, then the value of μ t (k) should be zero. If the value of μ t (k) is not zero, its value can be used to indicate the size of the timing error. Therefore, if the timing is accurate, μ t (k) = 0; if the timing is advanced, μ t (k) <0; if the timing is lagging, μ t (k)> 0.
D8PSK多电平信号(QPSK的同相和正交支路相位调制映射电平有
Figure PCTCN2019111787-appb-000035
而D8PSK的最终同相和正交支路的映射电平为0,±1,
Figure PCTCN2019111787-appb-000036
)。所以,当D8PSK的符号从-1到+1,+1到-1,
Figure PCTCN2019111787-appb-000037
Figure PCTCN2019111787-appb-000038
Figure PCTCN2019111787-appb-000039
的变化时,与QPSK相似,如定时准确,则μ t(k)的均值应该为零,如有定时误差,则它的大小与差错的大小为正比。然而,除上述情况外,其他情况下,如没有定时误差时,μ t(k)的均值也不为零,例如-1变到
Figure PCTCN2019111787-appb-000040
此时中间点均值为
Figure PCTCN2019111787-appb-000041
这其实相当于横坐标上移了
Figure PCTCN2019111787-appb-000042
所以,对于D8PSK信号而言,式1-11变为:
D8PSK multi-level signal (QPSK in-phase and quadrature branch phase modulation mapping levels are available
Figure PCTCN2019111787-appb-000035
The mapping level of the final in-phase and quadrature branches of D8PSK is 0, ±1,
Figure PCTCN2019111787-appb-000036
). So, when the symbol of D8PSK goes from -1 to +1, +1 to -1,
Figure PCTCN2019111787-appb-000037
To
Figure PCTCN2019111787-appb-000038
To
Figure PCTCN2019111787-appb-000039
The change of is similar to QPSK. If the timing is accurate, the mean value of μ t (k) should be zero. If there is a timing error, its size is proportional to the size of the error. However, in addition to the above, in other cases, if there is no timing error, the mean value of μ t (k) is not zero, for example, -1 changes to
Figure PCTCN2019111787-appb-000040
At this time, the mean of the midpoint is
Figure PCTCN2019111787-appb-000041
This is actually equivalent to shifting the abscissa up
Figure PCTCN2019111787-appb-000042
Therefore, for D8PSK signals, Equation 1-11 becomes:
μ t(k)=[y I(k-1/2)-a I][y I(k)-y I(k-1)]+[y Q(k-1/2)-a Q][y Q(k)-y Q(k-1……1-12 μ t (k)=[y I (k-1/2)-a I ][y I (k)-y I (k-1)]+[y Q (k-1/2)-a Q ] [y Q (k)-y Q (k-1……1-12
其中:among them:
a I=[y I(k)+y I(k-1)]/2,a Q=[y Q(k)+y Q(k-1)]/2 a I =[y I (k)+y I (k-1)]/2, a Q =[y Q (k)+y Q (k-1)]/2
同理,如果定时准确,则μ t(k)=0;如果定时超前,μ t(k)<0;如果定时滞后,μ t(k)>0。 Similarly, if the timing is accurate, μ t (k) = 0; if the timing is advanced, μ t (k) <0; if the timing is lagging, μ t (k)> 0.
假设经过频偏估计和补偿后残留数字频偏为Δω,通信过程引入的相偏为
Figure PCTCN2019111787-appb-000043
则同相支路和正交支路的滤波器输出分别为:
Assuming that the residual digital frequency offset after frequency offset estimation and compensation is Δω, the phase offset introduced in the communication process is
Figure PCTCN2019111787-appb-000043
Then the filter outputs of the in-phase branch and the quadrature branch are:
Figure PCTCN2019111787-appb-000044
Figure PCTCN2019111787-appb-000044
Figure PCTCN2019111787-appb-000045
Figure PCTCN2019111787-appb-000045
其中,θ k(n)为第k个调制符合对应相位的采样值; Among them, θ k (n) is the sampling value of the k-th modulation in accordance with the corresponding phase;
经过符号同步后,抽样进行差分运算后得到新的正交两路信号,分别为I new(k),Q new(k): After symbol synchronization, two new orthogonal signals are obtained after sampling and differential operation, which are I new (k) and Q new (k):
Figure PCTCN2019111787-appb-000046
Figure PCTCN2019111787-appb-000046
Figure PCTCN2019111787-appb-000047
Figure PCTCN2019111787-appb-000047
上面所有公式中n代表信号采样点,而k代表符号序号。假设此时判决到抽样点的映射相位增量为Δθ′ k,通过开环频偏估计补偿后,此刻剩余频偏Δω较小,所以可以得到: In all the above formulas, n represents the signal sampling point, and k represents the symbol number. Assuming that the mapping phase increment determined to the sampling point at this time is Δθ′ k , after compensation by open-loop frequency offset estimation, the remaining frequency offset Δω at this moment is small, so we can get:
Δθ′ k≈Δθ k……1-4-5 Δθ′ k ≈Δθ k ……1-4-5
试着计算:Try to calculate:
Figure PCTCN2019111787-appb-000048
Figure PCTCN2019111787-appb-000048
Figure PCTCN2019111787-appb-000049
Figure PCTCN2019111787-appb-000049
Figure PCTCN2019111787-appb-000050
Figure PCTCN2019111787-appb-000050
Figure PCTCN2019111787-appb-000051
Figure PCTCN2019111787-appb-000051
设有变量ΔI和ΔQ,且有如下运算关系:There are variables ΔI and ΔQ, and have the following calculation relationships:
Figure PCTCN2019111787-appb-000052
Figure PCTCN2019111787-appb-000052
Figure PCTCN2019111787-appb-000053
Figure PCTCN2019111787-appb-000053
所以残留频偏所引起的相位为:Δω=arctan(ΔQ/ΔI)。由此得到细频偏估计值。So the phase caused by the residual frequency offset is: Δω=arctan(ΔQ/ΔI). The estimated value of the fine frequency offset is thus obtained.
经过粗频偏估计补偿和细频偏估计补偿后,经过符号同步后抽取第k个码元判决处的同相和正交基带差分量分别记做I k和Q k,第k-1个码元判决处的同相和正交基带分量分别记做I k-1和Q k-1,则有: After coarse frequency offset estimation and compensation and fine frequency offset estimation and compensation, after symbol synchronization, the in-phase and quadrature baseband difference components at the k-th symbol decision point are extracted as I k and Q k , and the k-1 symbol The in-phase and quadrature baseband components at the judgment are denoted as I k-1 and Q k-1 respectively , then:
I k=1/2 cos(θ k)……1-23 I k =1/2 cos(θ k )……1-23
Q k=1/2 sin(θ k)……1-24 Q k =1/2 sin(θ k )……1-24
I k-1=1/2 cos(θ k-1)……1-25 I k-1 =1/2 cos(θ k-1 )……1-25
Q k-1=1/2 sin(θ k-1)……1-26 Q k-1 =1/2 sin(θ k-1 )……1-26
令Δθ k=θ kk-1,I′ k=cos(Δθ k),Q′ k=sin(Δθ k)则有: Let Δθ k = θ kk-1 , I′ k = cos(Δθ k ), Q′ k = sin(Δθ k ), then:
Figure PCTCN2019111787-appb-000054
Figure PCTCN2019111787-appb-000054
Figure PCTCN2019111787-appb-000055
Figure PCTCN2019111787-appb-000055
在D8PSK信号基带差分解调时因为Δθ k
Figure PCTCN2019111787-appb-000056
八种可能取值,首先通过(I′ k,Q′ k)将组成的向量分别逆时针旋转角度
Figure PCTCN2019111787-appb-000057
分别得到旋转后的向量的正弦值a,b,c,d:
In the baseband differential demodulation of D8PSK signal, because Δθ k has
Figure PCTCN2019111787-appb-000056
Eight kinds of possible values, first pass (I′ k , Q′ k ) to rotate the composed vector counterclockwise by angle
Figure PCTCN2019111787-appb-000057
Get the sine values a, b, c, d of the rotated vector:
Figure PCTCN2019111787-appb-000058
Figure PCTCN2019111787-appb-000058
根据D8PSK的相位映射表和a,b,c,d的符号判断即可求得码元:According to the phase mapping table of D8PSK and the symbol judgment of a, b, c, d, the symbol can be obtained:
a>0,b>0,c>0,d>0=>000;a>0,b>0,c>0,d<0=>001;a>0,b>0,c>0,d>0=>000; a>0,b>0,c>0,d<0=>001;
a>0,b>0,c<0,d<0=>011;a>0,b<0,c<0,d<0=>010;a>0,b>0,c<0,d<0=>011; a>0,b<0,c<0,d<0=>010;
a<0,b<0,c<0,d<0=>110;a<0,b<0,c<0,d>0=>111;a<0,b<0,c<0,d<0=>110; a<0,b<0,c<0,d>0=>111;
a<0,b<0,c>0,d>0=>101;a<0,b>0,c>0,d>0=>100;a<0,b<0,c>0,d>0=>101; a<0,b>0,c>0,d>0=>100;
至此,完成了D8PSK的相干解调。So far, the coherent demodulation of D8PSK is completed.
D8PSK作为VDL Mode 2数字通信链路的通信调制方式,其解调技术决定了通信的可靠性和通信设备的复杂度以及成本问题。民航航空电信网是新航行系统的重要组成部分,而VDL Mode 2数字链路是航空电信网中支持航空器应用过程以及其地面对应过程之间进行数据通信的重要承载子网,将在空中交通流量飞速增长的现状下,为空中交通安全管制发挥积极重大的作用。D8PSK is the communication modulation method of VDL Mode 2 digital communication link, and its demodulation technology determines the reliability of communication and the complexity and cost of communication equipment. The civil aviation telecommunication network is an important part of the new navigation system, and the VDL Mode 2 digital link is an important bearer subnet in the aviation telecommunication network that supports the data communication between the aircraft application process and its ground corresponding process. Under the current situation of rapid growth, it plays an active and important role for air traffic safety control.
尽管已描述了本发明的优选实施例,但本领域内的技术人员一旦得知了基本创造性概念,则可对这些实施例作出另外的变更和修改。所以,所附权利要求意欲解释为包括优选实施例以及落入本发明范围的所有变更和修改。Although the preferred embodiments of the present invention have been described, those skilled in the art can make additional changes and modifications to these embodiments once they learn the basic creative concept. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments and all changes and modifications falling within the scope of the present invention.
显然,本领域的技术人员可以对本发明进行各种改动和变型而不脱离本发明的精神和范围。这样,倘若本发明的这些修改和变型属于本发明权利要求及其等同技术的范围之内,则本发明也意图包含这些改动和变型在内。Obviously, those skilled in the art can make various changes and modifications to the present invention without departing from the spirit and scope of the present invention. In this way, if these modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalent technologies, the present invention is also intended to include these modifications and variations.

Claims (7)

  1. 一种D8PSK相干解调方法,其特征在于,所述方法包括:A D8PSK coherent demodulation method, characterized in that the method includes:
    带通滤波器接收AD采样送来的采样调制信号,进行带通滤波;The band-pass filter receives the sampled modulation signal sent by AD sampling and performs band-pass filtering;
    将带通滤波器的两路输出信号分别同时与同相载波和正交载波相乘,再将乘积分别送入2路低通滤波器,得到同相之路和正交之路的基带信号;Multiply the two output signals of the band-pass filter with the in-phase carrier and the quadrature carrier at the same time, and then send the products to the two low-pass filters to obtain the baseband signals of the in-phase road and the quadrature road;
    将同相之路和正交之路的基带信号送入符号同步单元,进行符号同步运算,并完成符号最近采样点判决和抽取采样,得到每个符号的最佳判决采样点的正交两路值;Send the baseband signals of the in-phase road and the quadrature road to the symbol synchronization unit, perform symbol synchronization operation, and complete the symbol nearest sampling point decision and decimation sampling to obtain the orthogonal two-way value of the best decision sampling point of each symbol ;
    将获得的最佳判决采样点的正交两路值同时送入差分解调单元、锁相环单元、频偏估计单元和帧同步单元;Send the obtained orthogonal two-way value of the best decision sampling point to the differential demodulation unit, phase-locked loop unit, frequency offset estimation unit and frame synchronization unit at the same time;
    帧同步单元将接收到的信号与本地预存独特字进行相关运算,寻找帧同步标志,并将该标志送给相应的单元;The frame synchronization unit performs correlation operations on the received signal and the locally pre-stored unique word, looks for the frame synchronization mark, and sends the mark to the corresponding unit;
    频偏估计单元根据接收信号与本地预存独特字的相关性,逐点运算频偏值,直到收到帧同步标志,则此时运算得到的频偏值即为粗频偏估计值,并将该值送入数字控制振荡器中补偿本地载波频率偏差;The frequency offset estimation unit calculates the frequency offset value point by point according to the correlation between the received signal and the local pre-stored unique word, until the frame synchronization mark is received, the frequency offset value obtained at this time is the rough frequency offset estimation value, and the The value is sent to the digital control oscillator to compensate the local carrier frequency deviation;
    差分解调单元和锁相环单元协同工作:在收到帧同步标志后,差分解调单元根据判决算法,对最佳采样点进行判决,然后将判决结果反馈给锁相环单元,锁相环单元开始工作,并根据接收值和反馈值估计残留相偏,然后将该相偏值换算为频偏值,作为细频偏估计值送入数字控制振荡器,调节本地载波,差分解调单元和锁相环单元如此迭代循环;The differential demodulation unit and the phase-locked loop unit work together: after receiving the frame synchronization mark, the differential demodulation unit judges the best sampling point according to the decision algorithm, and then feeds the decision result back to the phase-locked loop unit, the phase-locked loop The unit starts to work, and estimates the residual phase deviation according to the received value and the feedback value, and then converts the phase deviation value into a frequency deviation value, which is sent to the digital control oscillator as a fine frequency deviation estimate value, adjusts the local carrier, the differential demodulation unit and The phase-locked loop unit loops in this way;
    差分解调值送入并串转换单元,将并行输入转换为串行输出,得到最终解调序列。The differential demodulation value is sent to the parallel-serial conversion unit, and the parallel input is converted into the serial output to obtain the final demodulation sequence.
  2. 一种D8PSK相干解调系统,其特征在于,所述系统包括:A D8PSK coherent demodulation system, characterized in that, the system includes:
    带通滤波器、2个低通滤波器、符号同步单元、差分解调单元、锁相环单元、频偏估计单元、帧同步单元、并串转换单元;Band-pass filter, 2 low-pass filters, symbol synchronization unit, differential demodulation unit, phase-locked loop unit, frequency offset estimation unit, frame synchronization unit, parallel-serial conversion unit;
    其中,系统的工作过程为:带通滤波器接收AD采样送来的采样调制信号,进行带通滤波;将带通滤波器的两路输出信号分别同时与同相载波和正交载波相乘,再将乘积分别送入2路低通滤波器,得到同相之路和正交之路的基带信号;将同相之路和正交之路的基带信号送入符号同步单元,进行符号同步运算,并完成符号最近采样点判决和抽取采样,得到每个符号的最佳判决采样点的正交两路值;将获得的最佳判决采样点的正交两路值同时送入差分解调单元、锁相环单元、频偏估计单元和帧同步单元;帧同步单元将接收到的信号与本地预存独特字进行相关运算,寻找帧同步标志,并将该标志送给相应的单元;频偏估计单元根据接收信号与本地预存独特字的相关性,逐点运算频偏值,直到收到帧同步标志,则此时运算得到的频偏值即为粗频偏估计值,并将该值送入数字控制振荡器中补偿本地载波频率偏差;差分解调单元和锁相环单元协同工作:在收到帧同步标志后,差分解调单元根据判决算法, 对最佳采样点进行判决,然后将判决结果反馈给锁相环单元,锁相环单元开始工作,并根据接收值和反馈值估计残留相偏,然后将该相偏值换算为频偏值,作为细频偏估计值送入数字控制振荡器,调节本地载波,差分解调单元和锁相环单元如此迭代循环;差分解调值送入并串转换单元,将并行输入转换为串行输出,得到最终解调序列。Among them, the working process of the system is as follows: the band-pass filter receives the sampled modulation signal sent by AD sampling, and performs band-pass filtering; the two output signals of the band-pass filter are simultaneously multiplied by the in-phase carrier and the quadrature carrier, and then Send the product to two low-pass filters to obtain the baseband signals of the in-phase road and the quadrature road; send the baseband signals of the in-phase road and the quadrature road to the symbol synchronization unit, perform symbol synchronization operations, and complete The symbol’s nearest sampling point is judged and sampled to obtain the orthogonal two-way value of the best judged sampling point of each symbol; the obtained orthogonal two-way value of the best judged sampling point is simultaneously sent to the differential demodulation unit, and phase locked The loop unit, the frequency offset estimation unit and the frame synchronization unit; the frame synchronization unit performs correlation operations between the received signal and the locally pre-stored unique words, finds the frame synchronization flag, and sends the flag to the corresponding unit; the frequency offset estimation unit receives The correlation between the signal and the local pre-stored unique word, the frequency offset value is calculated point by point, until the frame synchronization mark is received, the frequency offset value obtained at this time is the rough frequency offset estimated value, and the value is sent to the digital control oscillation The local carrier frequency deviation is compensated in the device; the differential demodulation unit and the phase-locked loop unit work together: after receiving the frame synchronization mark, the differential demodulation unit judges the best sampling point according to the decision algorithm, and then feeds the decision result back to The phase-locked loop unit, the phase-locked loop unit starts to work, and estimates the residual phase deviation based on the received value and the feedback value, and then converts the phase deviation value into a frequency deviation value, which is sent to the digital control oscillator as a fine frequency deviation estimate value for adjustment The local carrier, the differential demodulation unit and the phase-locked loop unit loop iteratively in this way; the differential demodulation value is sent to the parallel-serial conversion unit, and the parallel input is converted into the serial output to obtain the final demodulation sequence.
  3. 根据权利要求1或2所述的D8PSK相干解调方法或系统,其特征在于,接收端将接收信号与本地载波相乘后通过低通滤波,得到正交的两路带频偏的基带信号I(t)和Q(t);本地已知的同步头独特字序列的基带调制为I L(t)和Q L(t): The D8PSK coherent demodulation method or system according to claim 1 or 2, characterized in that the receiving end multiplies the received signal by the local carrier and then passes low-pass filtering to obtain two orthogonal baseband signals with frequency offset. (t) and Q(t); the baseband modulation of the locally known sync header unique word sequence is I L (t) and Q L (t):
    Figure PCTCN2019111787-appb-100001
    Figure PCTCN2019111787-appb-100001
    Figure PCTCN2019111787-appb-100002
    Figure PCTCN2019111787-appb-100002
    I L(t)=cos(θ k)……1-3 I L (t)=cos(θ k )……1-3
    Q L(t)=sin(θ k)……1-4 Q L (t)=sin(θ k )……1-4
    其中,Δf,
    Figure PCTCN2019111787-appb-100003
    分别为本地载波与接收载波的频偏和相偏,θ k为对应符号的映射相位,k为调制符合的序号,t为时间变量;将接收的和本地的基带信号分别用复数表示为r b(t),l b(t):
    Where Δf,
    Figure PCTCN2019111787-appb-100003
    Are the frequency offset and phase offset of the local carrier and the received carrier, θ k is the mapping phase of the corresponding symbol, k is the sequence number of the modulation, and t is the time variable; the received and local baseband signals are represented by complex numbers as r b (t), l b (t):
    Figure PCTCN2019111787-appb-100004
    Figure PCTCN2019111787-appb-100004
    Figure PCTCN2019111787-appb-100005
    Figure PCTCN2019111787-appb-100005
    其中,j为虚数单位;Among them, j is an imaginary unit;
    对l b(t)取共轭并与r b(t)得: Take the conjugate of l b (t) and combine with r b (t) to get:
    Figure PCTCN2019111787-appb-100006
    Figure PCTCN2019111787-appb-100006
    对P(t)进行间隔为T s的抽样,则第n和第n+1时的符号分别为P(n),P(n+1): Sampling P(t) with an interval of T s , then the symbols at the nth and n+1th time are P(n), P(n+1):
    Figure PCTCN2019111787-appb-100007
    Figure PCTCN2019111787-appb-100007
    Figure PCTCN2019111787-appb-100008
    Figure PCTCN2019111787-appb-100008
    将P(n)取共轭并与P(n+1)相乘得到y(n):Take the conjugate of P(n) and multiply it by P(n+1) to get y(n):
    Figure PCTCN2019111787-appb-100009
    Figure PCTCN2019111787-appb-100009
    Δf=1/(2πT s)angle(y(n))……1-11 Δf=1/(2πT s )angle(y(n))……1-11
    对所有的同步头独特字序列符号进行上述计算,将得到的值进行平均,求得频偏的较优估计;y(n)作为接收信号同步头与本地同步头的互相关函数,根据其峰值点进行帧同步。Perform the above calculation on all the sync header unique word sequence symbols, average the obtained values to obtain a better estimate of the frequency offset; y(n) is used as the cross-correlation function of the received signal sync header and the local sync header, according to its peak value Click for frame synchronization.
  4. 根据权利要求1或2所述的D8PSK相干解调方法或系统,其特征在于,用y I(k)、y Q(k)表示第k个码元的数据选通时刻的样值点,y I(k-1/2)、y Q(k-1/2)表示位于第k个和第k-1 个码元的中间时刻的样值点,定时误差检测算法表示为: The D8PSK coherent demodulation method or system according to claim 1 or 2, characterized in that y I (k) and y Q (k) are used to represent the sample point of the data strobe time of the kth symbol, y I (k-1/2), y Q (k-1/2) represent the sample point at the intermediate moment between the kth and k-1th symbols, and the timing error detection algorithm is expressed as:
    μ t(k)=y I(k-1/2)[y I(k)-y I(k-1)]+y Q(k-1/2)[y Q(k)-y Q(k-1)]......1-11 μ t (k)=y I (k-1/2)[y I (k)-y I (k-1)]+y Q (k-1/2)[y Q (k)-y Q ( k-1)]......1-11
    其中μ t(k)是定时误差信号;定时误差器在I和Q两个通道的每一个峰值位置之间的中间位置点进行采样;如果没有定时误差,则μ t(k)的值应该为零;如果μ t(k)的值不为零,则用μ t(k)的值表示定时误差的大小;如果定时准确,则μ t(k)=0;如果定时超前,μ t(k)<0;如果定时滞后,μ t(k)>0; Among them, μ t (k) is the timing error signal; the timing error device samples the midpoint between each peak position of the I and Q channels; if there is no timing error, the value of μ t (k) should be zero; if the values μ t (k) is not zero, then the values μ t (k) represents the magnitude of the timing error; if the timing accuracy, the μ t (k) = 0; if timing advance, μ t (k )<0; if the timing is lagging, μ t (k)>0;
    对于D8PSK信号而言,式1-11变为:For D8PSK signals, Equation 1-11 becomes:
    μ t(k)=[y I(k-1/2)-a I][y I(k)-y I(k-1)]+[y Q(k-1/2)-a Q][y Q(k)-y Q(k-1……1-12 μ t (k)=[y I (k-1/2)-a I ][y I (k)-y I (k-1)]+[y Q (k-1/2)-a Q ] [y Q (k)-y Q (k-1……1-12
    其中:among them:
    a I=[y I(k)+y I(k-1)]/2,a Q=[y Q(k)+y Q(k-1)]/2 a I =[y I (k)+y I (k-1)]/2, a Q =[y Q (k)+y Q (k-1)]/2
    同理,如果定时准确,则μ t(k)=0;如果定时超前,μ t(k)<0;如果定时滞后,μ t(k)>0。 Similarly, if the timing is accurate, μ t (k) = 0; if the timing is advanced, μ t (k) <0; if the timing is lagging, μ t (k)> 0.
  5. 根据权利要求4所述的D8PSK相干解调方法或系统,其特征在于,假设经过频偏估计和补偿后残留数字频偏为Δω,通信过程引入的相偏为
    Figure PCTCN2019111787-appb-100010
    则同相支路和正交支路的滤波器输出分别为:
    The D8PSK coherent demodulation method or system according to claim 4, wherein it is assumed that the residual digital frequency offset after frequency offset estimation and compensation is Δω, and the phase offset introduced in the communication process is
    Figure PCTCN2019111787-appb-100010
    Then the filter outputs of the in-phase branch and the quadrature branch are:
    Figure PCTCN2019111787-appb-100011
    Figure PCTCN2019111787-appb-100011
    Figure PCTCN2019111787-appb-100012
    Figure PCTCN2019111787-appb-100012
    其中,θ k(n)为第k个调制符合对应相位的采样值; Among them, θ k (n) is the sampling value of the k-th modulation in accordance with the corresponding phase;
    经过符号同步后,抽样进行差分运算后得到新的正交两路信号,分别为I new(k),Q new(k): After symbol synchronization, the new quadrature signals are obtained after sampling and differential operation, which are I new (k) and Q new (k):
    Figure PCTCN2019111787-appb-100013
    Figure PCTCN2019111787-appb-100013
    Figure PCTCN2019111787-appb-100014
    Figure PCTCN2019111787-appb-100014
    n代表信号采样点,k代表符号序号;假设此时判决到抽样点的映射相位增量为Δθ′ k,通过开环频偏估计补偿后,得到: n represents the signal sampling point, and k represents the symbol sequence number; assuming that the mapping phase increment judged to the sampling point at this time is Δθ′ k , after compensation by open-loop frequency offset estimation, we get
    Δθ′ k≈Δθ k......1-4-5 Δθ′ k ≈Δθ k ......1-4-5
    计算:Calculation:
    Figure PCTCN2019111787-appb-100015
    Figure PCTCN2019111787-appb-100015
    Figure PCTCN2019111787-appb-100016
    Figure PCTCN2019111787-appb-100016
    Figure PCTCN2019111787-appb-100017
    Figure PCTCN2019111787-appb-100017
    Figure PCTCN2019111787-appb-100018
    Figure PCTCN2019111787-appb-100018
    设有变量ΔI和ΔQ,且有如下运算关系:There are variables ΔI and ΔQ, and have the following calculation relationships:
    Figure PCTCN2019111787-appb-100019
    Figure PCTCN2019111787-appb-100019
    Figure PCTCN2019111787-appb-100020
    Figure PCTCN2019111787-appb-100020
    残留频偏所引起的相位为:Δω=arctan(ΔQ/ΔI),由此得到细频偏估计值。The phase caused by the residual frequency offset is: Δω=arctan(ΔQ/ΔI), from which the fine frequency offset estimation value is obtained.
  6. 根据权利要求5所述的D8PSK相干解调方法或系统,其特征在于,经过粗频偏估计补偿和细频偏估计补偿后,经过符号同步后抽取第k个码元判决处的同相和正交基带差分量分别记做I k和Q k,第k-1个码元判决处的同相和正交基带分量分别记做I k-1和Q k-1,则有: The D8PSK coherent demodulation method or system according to claim 5, wherein after coarse frequency offset estimation and compensation and fine frequency offset estimation and compensation, after symbol synchronization, the in-phase and quadrature at the k-th symbol decision are extracted The baseband difference components are denoted as I k and Q k respectively , and the in-phase and quadrature baseband components at the k-1th symbol decision are denoted as I k-1 and Q k-1 respectively , then:
    I k=1/2 cos(θ k)……1-23 I k =1/2 cos(θ k )……1-23
    Q k=1/2 sin(θ k)……1-24 Q k =1/2 sin(θ k )……1-24
    I k-1=1/2 cos(θ k-1)……1-25 I k-1 =1/2 cos(θ k-1 )……1-25
    Q k-1=1/2 sin(θ k-1)……1-26 Q k-1 =1/2 sin(θ k-1 )……1-26
    令Δθ k=θ kk-1,I′ k=cos(Δθ k),Q′ k=sin(Δθ k)则有: Let Δθ k = θ kk-1 , I′ k = cos(Δθ k ), Q′ k = sin(Δθ k ), then:
    Figure PCTCN2019111787-appb-100021
    Figure PCTCN2019111787-appb-100021
    Figure PCTCN2019111787-appb-100022
    Figure PCTCN2019111787-appb-100022
  7. 根据权利要求6所述的D8PSK相干解调方法或系统,其特征在于,在D8PSK信号基带差分解调时,Δθ k
    Figure PCTCN2019111787-appb-100023
    π八种可能取值,首先通过(I′ k,Q′ k)将组成的向量分别逆时针旋转角度
    Figure PCTCN2019111787-appb-100024
    分别得到旋转后的向量的正弦值a,b,c,d:
    The D8PSK coherent demodulation method or system according to claim 6, wherein when the D8PSK signal baseband differential demodulation, Δθ k has
    Figure PCTCN2019111787-appb-100023
    There are eight possible values of π. Firstly, through (I′ k , Q′ k ), the composed vectors are rotated counterclockwise by angle
    Figure PCTCN2019111787-appb-100024
    Get the sine values a, b, c, d of the rotated vector:
    Figure PCTCN2019111787-appb-100025
    Figure PCTCN2019111787-appb-100025
    根据D8PSK的相位映射表和a,b,c,d的符号判断求得码元:According to the phase mapping table of D8PSK and the symbol judgment of a, b, c, d, the symbol is obtained:
    a>0,b>0,c>0,d>0=>000;a>0,b>0,c>0,d<0=>001;a>0,b>0,c>0,d>0=>000; a>0,b>0,c>0,d<0=>001;
    a>0,b>0,c<0,d<0=>011;a>0,b<0,c<0,d<0=>010;a>0,b>0,c<0,d<0=>011; a>0,b<0,c<0,d<0=>010;
    a<0,b<0,c<0,d<0=>110;a<0,b<0,c<0,d>0=>111;a<0,b<0,c<0,d<0=>110; a<0,b<0,c<0,d>0=>111;
    a<0,b<0,c>0,d>0=>101;a<0,b>0,c>0,d>0=>100;a<0,b<0,c>0,d>0=>101; a<0,b>0,c>0,d>0=>100;
    至此,完成了D8PSK的相干解调。So far, the coherent demodulation of D8PSK is completed.
PCT/CN2019/111787 2019-03-27 2019-10-18 D8psk coherent demodulation method and system WO2020192093A1 (en)

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