CN112565142A - Multi-mode SC-FDE burst transmission carrier synchronization method - Google Patents

Multi-mode SC-FDE burst transmission carrier synchronization method Download PDF

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CN112565142A
CN112565142A CN202011232276.4A CN202011232276A CN112565142A CN 112565142 A CN112565142 A CN 112565142A CN 202011232276 A CN202011232276 A CN 202011232276A CN 112565142 A CN112565142 A CN 112565142A
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data
sequence
estimation value
time slot
frame
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CN112565142B (en
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闫朝星
付林罡
祝桂刚
刘建航
刘同领
王圆圆
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Beijing Research Institute of Telemetry
Aerospace Long March Launch Vehicle Technology Co Ltd
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Beijing Research Institute of Telemetry
Aerospace Long March Launch Vehicle Technology Co Ltd
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2602—Signal structure
    • H04L27/261—Details of reference signals
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2647—Arrangements specific to the receiver only
    • H04L27/2655—Synchronisation arrangements
    • H04L27/2657—Carrier synchronisation
    • H04L27/266—Fine or fractional frequency offset determination and synchronisation

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Abstract

The invention provides a multi-mode SC-FDE burst transmission carrier synchronization method, which comprises the steps of firstly designing a multi-mode SC-FDE time slot frame which can contain a plurality of subframes, then respectively calculating a difference correlation function of a leading section and a UW section, respectively carrying out average calculation to obtain a frequency deviation estimation value, and finally carrying out weighted average on the leading section and the UW section to obtain a final frequency deviation estimation value; the frame structure and the carrier synchronization parameters can be flexibly designed according to the system requirements. The multi-mode time slot frame of the invention can contain a plurality of sub-frames, can be used for the wireless networking communication system based on burst mode; respectively calculating a difference correlation function of a leading section and a UW section, then respectively carrying out average calculation to obtain a frequency deviation estimation value, and finally carrying out weighted average on the leading section and the UW section to obtain a final frequency deviation estimation value; the number of leading segments of the frame structure is M, UW segments, the number is 2MK, and the correlation length L of the variation segmentsP、LUThe method can be flexibly designed according to system requirements so as to meet the requirements of communication and carrier synchronization precision indexes between different networking nodes.

Description

Multi-mode SC-FDE burst transmission carrier synchronization method
Technical Field
The invention relates to the technical field of digital information transmission, in particular to a multi-mode SC-FDE burst transmission carrier synchronization method.
Background
In a wireless ad hoc network communication system, for example, an unmanned aerial vehicle cluster networking communication system usually adopts a burst transmission-based anti-multipath interference communication system, so that a single carrier frequency domain equalization technology SC-FDE is suitable for the communication requirements of the communication system. Due to the influence of different source clocks and mobile Doppler between mobile networking communication nodes, large carrier deviation exists, and an effective carrier synchronization technology is needed to optimize demodulation detection performance.
Pilot-assisted frequency offset acquisition technology was devised in "flight, book, or scholar-based pilot-assisted SC-FDE system frequency offset acquisition method research [ J ]. foreign electronic measurement technology, 2011, 30(10): 37-40".
Research and implementation of carrier synchronization technology in an arbitrary single/multi-carrier communication system [ D ]; the carrier synchronization technology of a specific frame structure is designed in the university of west ampere electronic technology, master academic thesis, 2016 ", and includes two steps of rough estimation and fine estimation, and frequency offset is calculated by using two-segment sequence correlation.
The above documents do not research the carrier synchronization technology of the flexible and adaptive multi-mode SC-FDE communication system, and therefore a multi-mode SC-FDE burst transmission carrier synchronization method that can meet various system index requirements of the wireless ad hoc network is needed.
Disclosure of Invention
The invention provides a multi-mode SC-FDE burst transmission carrier synchronization method for solving the problem of carrier deviation among communication nodes of a mobile networking, which comprises the steps of firstly designing a multi-mode SC-FDE time slot frame which can contain a plurality of subframes, then respectively calculating differential correlation functions of a leading section and a UW section, respectively carrying out average calculation to obtain a frequency deviation estimation value, and finally carrying out weighted average on the leading section and the UW section to obtain a final frequency deviation estimation value; the frame structure and the carrier synchronization parameters can be flexibly designed according to the system requirements.
The invention provides a multi-mode SC-FDE burst transmission carrier synchronization method, which comprises the following steps:
s1, obtaining time slot data: the communication signal time slot frame transmitted between the wireless networking nodes through a burst transmission mode comprises at least one subframe, each subframe is set to be a leader sequence and a UW-DATA-UW DATA sequence which are sequentially arranged, the UW-DATA-UW DATA sequence comprises a preposed UW sequence, a DATA sequence and a postposition UW sequence which are sequentially arranged, each subframe comprises at least one UW-DATA-UW DATA sequence, and the time slot DATA s (n) after framing is obtained according to the constitution of the time slot frame;
s2, obtaining a sampling signal: after the time slot frame passes through a wireless channel, obtaining a receiving end baseband digital sampling signal r (n) according to time slot data s (n), wherein the digital sampling signal r (n) comprises a front-leading sampling signal and a UW sampling signal, and the UW sampling signal comprises a front-leading UW sampling signal and a rear-leading UW sampling signal;
s3, calculating an autocorrelation function: calculating to obtain a preamble autocorrelation function according to the preamble sampling signal, and calculating to obtain a UW autocorrelation function according to the UW sampling sequence number;
s4, frequency offset estimation: calculating by a preamble autocorrelation function to obtain a preamble frequency deviation estimation value, calculating by a UW autocorrelation function to obtain a UW frequency deviation estimation value, and performing weighted average on the preamble frequency deviation estimation value and the UW frequency deviation estimation value to obtain a final frequency deviation estimation value
Figure BDA0002765603430000021
And finishing carrier synchronization.
The invention relates to a multi-mode SC-FDE burst transmission carrier synchronization method, as a preferred mode, the step S1 comprises the following steps:
s11, a communication signal time slot frame transmitted between wireless networking nodes through a burst transmission mode comprises at least one subframe, each subframe is set as a leader sequence and a UW-DATA-UW DATA sequence which are sequentially arranged, and the UW-DATA-UW DATA sequence comprises a preamble UW sequence, a DATA sequence and a post UW sequence which are sequentially arranged; each subframe comprises at least one UW-DATA-UW DATA sequence; when the slot frame only contains one sub-frame, obtaining slot data S (n) and entering step S12, and when the slot frame contains more than one sub-frame, obtaining slot data S (n) and entering step S13;
s12, S (n) is S (n) SA(n), K is more than or equal to 1 and less than or equal to K and K UW-DATA-UW DATA sequences are arranged in the time slot frame, and the time slot DATA s (n) after framing is represented as:
Figure BDA0002765603430000031
wherein k is the kth UW-DATA-UW DATA sequence, s, of which the sequence belongs to a time slot framepFor the length N in the sub-framePPreamble sequence slot data, suFor the length N in the sub-frameUuW sequence of time slot data, sdFor the length N in the sub-frameDThe data sequence slot data of (1);
s13, the slot frame includes M sub-frames with M less than or equal to 1, and the slot data S (n) is recorded as S (n) SB(n) the time-slot frame data sequence is a vector sB：
sB＝[sA,1,sA,2,....,sA,M]Wherein s isA,MIs slot data of Mth sub-frame, sA,MThe configuration of (2) is the same as the time slot data S (n) of step S12.
The invention relates to a multi-mode SC-FDE burst transmission carrier synchronization method, which is used as an optimal mode, wherein K is distributed to each networking node by a network resource management system, and a front UW sequence and a rear UW sequence are Frank-Zadoff sequences.
In the multi-mode SC-FDE burst transmission carrier synchronization method according to the present invention, as a preferred mode, in step S2,
Figure BDA0002765603430000032
where w (n) is additive white gaussian noise, h (L) is channel impulse response of length L, and Δ f is carrier frequency offset.
The invention relates to a multi-mode SC-FDE burst transmission carrier synchronization method, as a preferred mode, the step S3 comprises the following steps:
s31, calculating to obtain a preamble autocorrelation function according to the preamble sampling signal, calculating to obtain a UW autocorrelation function according to the UW sampling sequence number, and entering step S32 when the time slot frame only contains one subframe, and entering step S33 when the time slot frame contains more than one subframe;
s32, leading sampling signal r (n), r (n) is z (n);
preamble autocorrelation function r (i):
Figure BDA0002765603430000033
wherein L isPIs the length of the differential correlation of the preamble sequences, LP≤NP/2；
UW autocorrelation function R of kthk,1(i) And Rk,2(i) Respectively calculating a UW autocorrelation function obtained by a pre-UW sampling signal and a post-UW sampling signal of a kth UW-DATA-UW DATA sequence:
Figure BDA0002765603430000041
wherein the length of the differential correlation of the UW sequence is LU，LU≤NU/2；
S33, the time slot frame data sequence includes M sub-frames with M less than or equal to 1, the M leading sampling signal r (n), r (n) zm(n)；
Mth preamble autocorrelation function Rm(i)：
Figure BDA0002765603430000042
Wherein L isPIs the length of the differential correlation of the preamble sequences, LP≤NP/2；
kUW th autocorrelation function R of mth subframem,k,1(i) And Rm,k,2(i) Respectively a pre-UW sampling signal and a post-UW sampling signal which pass through a k-th UW-DATA-UW DATA sequenceThe length of differential correlation of the UW sequence is LU，LU≤NU/2。
The invention relates to a multi-mode SC-FDE burst transmission carrier synchronization method, as a preferred mode, the step S4 comprises the following steps:
s41, calculating through a preamble autocorrelation function to obtain a preamble frequency deviation estimation value, calculating through a UW autocorrelation function to obtain a UW frequency deviation estimation value, and carrying out weighted average on the preamble frequency deviation estimation value and the UW frequency deviation estimation value to obtain a frequency deviation estimation value
Figure BDA0002765603430000043
Step S42 is entered when the slot frame contains only one sub-frame, and step S45 is entered when the slot frame contains more than one sub-frame;
s42, obtaining a preamble frequency offset estimation value: for the leader sequence in the time slot frame, the phase position is taken to obtain the estimated value of the leader frequency deviation
Figure BDA0002765603430000044
Figure BDA0002765603430000045
S43, obtaining an UW frequency offset estimation value: the time slot frame comprises K UW-DATA-UW DATA sequences, K pre-UW sequences and K post-UW sequences correspondingly, and the average value of each UW autocorrelation function is calculated to obtain an UW frequency deviation estimation value
Figure BDA0002765603430000046
Figure BDA0002765603430000051
S44, obtaining a final frequency offset estimation value: frequency deviation estimation value of preamble
Figure BDA0002765603430000052
And UW frequency offset estimation
Figure BDA0002765603430000053
Obtaining a final frequency deviation estimated value through weighted average
Figure BDA0002765603430000054
Figure BDA0002765603430000055
Completing carrier synchronization;
s45, obtaining a preamble frequency offset estimation value: the time slot frame includes M leading sequences, calculates the average value of each leading autocorrelation function sequence, and then takes phase of the average accumulated result to obtain leading frequency deviation estimated value
Figure BDA0002765603430000056
Figure BDA0002765603430000057
S46, obtaining an UW frequency offset estimation value: the time slot frame comprises M sub-frames, each sub-frame comprises K UW-DATA-UW DATA sequences, MK preposed UW sequences and MK postposed UW sequences, the average value of each UW autocorrelation function sequence is calculated, and a UW frequency offset estimation value is obtained
Figure BDA0002765603430000058
Figure BDA0002765603430000059
S47, obtaining a final frequency offset estimation value: frequency deviation estimation value of preamble
Figure BDA00027656034300000510
And UW frequency offset estimation
Figure BDA00027656034300000511
Obtaining a final frequency deviation estimated value through weighted average
Figure BDA00027656034300000512
Figure BDA00027656034300000513
And finishing carrier synchronization.
The invention has the following advantages:
(1) the multi-mode time slot frame of the invention can comprise a plurality of sub-frames, the sub-frames comprise a leading segment, a plurality of unique words UW segments and a plurality of data segments, and can be used for a wireless networking communication system based on a burst mode;
(2) respectively calculating a difference correlation function of a leading section and a UW section, then respectively carrying out average calculation to obtain a frequency deviation estimation value, and finally carrying out weighted average on the leading section and the UW section to obtain a final frequency deviation estimation value;
(3) the number of leading segments of the frame structure is M, UW segments, the number is 2MK, and the correlation length L of the variation segmentsP、LUThe method can be flexibly designed according to system requirements so as to meet the requirements of communication and carrier synchronization precision indexes between different networking nodes.
Drawings
Fig. 1 is a flowchart of an embodiment 1-3 of a multi-mode SC-FDE burst transmission carrier synchronization method;
fig. 2 is a schematic view of a multi-mode frame structure of embodiments 1-3 of a multi-mode SC-FDE burst transmission carrier synchronization method;
fig. 3 is a flowchart of a multi-mode SC-FDE burst transmission carrier synchronization method step S1;
fig. 4 is a flowchart of a multi-mode SC-FDE burst transmission carrier synchronization method step S3;
fig. 5 is a flowchart of a multi-mode SC-FDE burst transmission carrier synchronization method step S4;
fig. 6 is a frequency estimation normalized range performance distribution diagram of a multi-mode SC-FDE burst transmission carrier synchronization method embodiment 3;
fig. 7 is a distribution diagram of mean square error performance of frequency estimation under different SNRs and correlation lengths in embodiment 3 of a multi-mode SC-FDE burst transmission carrier synchronization method.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments.
Example 1
As shown in fig. 1-2, a multi-mode SC-FDE burst transmission carrier synchronization method includes the following steps:
s1, obtaining time slot data: the communication signal time slot frame transmitted between the wireless networking nodes through a burst transmission mode comprises at least one subframe, each subframe is set to be a leader sequence and a UW-DATA-UW DATA sequence which are sequentially arranged, the UW-DATA-UW DATA sequence comprises a preposed UW sequence, a DATA sequence and a postposition UW sequence which are sequentially arranged, each subframe comprises at least one UW-DATA-UW DATA sequence, and the time slot DATA s (n) after framing is obtained according to the constitution of the time slot frame;
s2, obtaining a sampling signal: after the time slot frame passes through a wireless channel, obtaining a receiving end baseband digital sampling signal r (n) according to time slot data s (n), wherein the digital sampling signal r (n) comprises a front-leading sampling signal and a UW sampling signal, and the UW sampling signal comprises a front-leading UW sampling signal and a rear-leading UW sampling signal;
s3, calculating an autocorrelation function: calculating to obtain a preamble autocorrelation function according to the preamble sampling signal, and calculating to obtain a UW autocorrelation function according to the UW sampling sequence number;
s4, frequency offset estimation: calculating by a preamble autocorrelation function to obtain a preamble frequency deviation estimation value, calculating by a UW autocorrelation function to obtain a UW frequency deviation estimation value, and performing weighted average on the preamble frequency deviation estimation value and the UW frequency deviation estimation value to obtain a final frequency deviation estimation value
Figure BDA0002765603430000071
And finishing carrier synchronization.
Example 2
As shown in fig. 1-2, a multi-mode SC-FDE burst transmission carrier synchronization method includes the following steps:
s1, obtaining time slot data: the communication signal time slot frame transmitted between the wireless networking nodes through a burst transmission mode comprises at least one subframe, each subframe is set to be a leader sequence and a UW-DATA-UW DATA sequence which are sequentially arranged, the UW-DATA-UW DATA sequence comprises a preposed UW sequence, a DATA sequence and a postposition UW sequence which are sequentially arranged, each subframe comprises at least one UW-DATA-UW DATA sequence, and the time slot DATA s (n) after framing is obtained according to the constitution of the time slot frame;
as shown in fig. 3, the communication signal slot frame transmitted by the burst transmission mode between the S11 and the wireless networking node includes at least one subframe, each subframe is set as a preamble sequence and a UW-DATA-UW DATA sequence which are sequentially arranged, and the UW-DATA-UW DATA sequence includes a preamble UW sequence, a DATA sequence and a postamble UW sequence which are sequentially arranged; each subframe comprises at least one UW-DATA-UW DATA sequence; when the slot frame only contains one sub-frame, obtaining slot data S (n) and entering step S12, and when the slot frame contains more than one sub-frame, obtaining slot data S (n) and entering step S13;
s12, S (n) is S (n) SA(n), K is more than or equal to 1 and less than or equal to K and K UW-DATA-UW DATA sequences are arranged in the time slot frame, and the time slot DATA s (n) after framing is represented as:
Figure BDA0002765603430000081
wherein k is the kth UW-DATA-UW DATA sequence, s, of which the sequence belongs to a time slot framepFor the length N in the sub-framePPreamble sequence slot data, suFor the length N in the sub-frameUuW sequence of time slot data, sdFor the length N in the sub-frameDThe data sequence slot data of (1);
s13, the slot frame includes M sub-frames with M less than or equal to 1, and the slot data S (n) is recorded as S (n) SB(n) the time-slot frame data sequence is a vector sB：
sB＝[sA,1,sA,2,....,sA,M]Wherein s isA,MIs slot data of Mth sub-frame, sA,MIs the same as the time slot data S (n) of step S12;
s2, obtaining a sampling signal: after the time slot frame passes through a wireless channel, obtaining a receiving end baseband digital sampling signal r (n) according to time slot data s (n), wherein the digital sampling signal r (n) comprises a front-leading sampling signal and a UW sampling signal, and the UW sampling signal comprises a front-leading UW sampling signal and a rear-leading UW sampling signal;
Figure BDA0002765603430000082
wherein w (n) is additive white gaussian noise, h (L) is channel impulse response with length L, and Δ f is carrier frequency offset;
s3, calculating an autocorrelation function: calculating to obtain a preamble autocorrelation function according to the preamble sampling signal, and calculating to obtain a UW autocorrelation function according to the UW sampling sequence number;
as shown in fig. 4, S31, a preamble autocorrelation function is calculated according to the preamble sampling signal, a UW autocorrelation function is calculated according to the UW sampling sequence number, and when the slot frame only includes one subframe, the process proceeds to step S32, and when the slot frame includes more than one subframe, the process proceeds to step S33;
s32, leading sampling signal r (n), r (n) is z (n);
preamble autocorrelation function r (i):
Figure BDA0002765603430000083
wherein L isPIs the length of the differential correlation of the preamble sequences, LP≤NP/2；
UW autocorrelation function R of kthk,1(i) And Rk,2(i) Respectively calculating a UW autocorrelation function obtained by a pre-UW sampling signal and a post-UW sampling signal of a kth UW-DATA-UW DATA sequence:
Figure BDA0002765603430000091
wherein the length of the differential correlation of the UW sequence is LU，LU≤NU/2；
S33, the time slot frame data sequence includes M sub-frames with M less than or equal to 1, the M leading sampling signal r (n), r (n) zm(n)；
Mth preamble autocorrelation function Rm(i)：
Figure BDA0002765603430000092
Wherein L isPIs the length of the differential correlation of the preamble sequences, LP≤NP/2；
kUW th autocorrelation function R of mth subframem,k,1(i) And Rm,k,2(i) Respectively calculating a UW autocorrelation function through a front UW sampling signal and a rear UW sampling signal of a kth UW-DATA-UW DATA sequence, wherein the length of differential correlation of the UW sequence is LU，LU≤NU/2；
S4, frequency offset estimation: calculating by a preamble autocorrelation function to obtain a preamble frequency deviation estimation value, calculating by a UW autocorrelation function to obtain a UW frequency deviation estimation value, and performing weighted average on the preamble frequency deviation estimation value and the UW frequency deviation estimation value to obtain a final frequency deviation estimation value
Figure BDA0002765603430000093
Completing carrier synchronization;
as shown in fig. 5, S41, calculating a preamble frequency offset estimation value through a preamble autocorrelation function, calculating a UW frequency offset estimation value through a UW autocorrelation function, and performing a weighted average of the preamble frequency offset estimation value and the UW frequency offset estimation value to obtain a frequency offset estimation value
Figure BDA0002765603430000094
Step S42 is entered when the slot frame contains only one sub-frame, and step S45 is entered when the slot frame contains more than one sub-frame;
s42, obtaining a preamble frequency offset estimation value: for the leader sequence in the time slot frame, the phase position is taken to obtain the estimated value of the leader frequency deviation
Figure BDA0002765603430000095
Figure BDA0002765603430000096
S43, obtaining an UW frequency offset estimation value: the time slot frame comprises K UW-DATA-UW DATA sequences, K pre-UW sequences and K post-UW sequences correspondingly, and the average value of each UW autocorrelation function is calculated to obtain an UW frequency deviation estimation value
Figure BDA0002765603430000101
Figure BDA0002765603430000102
S44, obtaining a final frequency offset estimation value: frequency deviation estimation value of preamble
Figure BDA0002765603430000103
And UW frequency offset estimation
Figure BDA0002765603430000104
Obtaining a final frequency deviation estimated value through weighted average
Figure BDA0002765603430000105
Figure BDA0002765603430000106
Completing carrier synchronization;
s45, obtaining a preamble frequency offset estimation value: the time slot frame includes M leading sequences, calculates the average value of each leading autocorrelation function sequence, and then takes phase of the average accumulated result to obtain leading frequency deviation estimated value
Figure BDA0002765603430000107
Figure BDA0002765603430000108
S46, obtaining an UW frequency offset estimation value: the time slot frame comprises M sub-frames, each sub-frame comprises K UW-DATA-UW DATA sequences, MK preposed UW sequences and MK postposed UW sequences, the average value of each UW autocorrelation function sequence is calculated, and a UW frequency offset estimation value is obtained
Figure BDA0002765603430000109
Figure BDA00027656034300001010
S47, obtaining a final frequency offset estimation value: frequency deviation estimation value of preamble
Figure BDA00027656034300001011
And UW frequency offset estimation
Figure BDA00027656034300001012
Obtaining a final frequency deviation estimated value through weighted average
Figure BDA00027656034300001013
Figure BDA00027656034300001014
And finishing carrier synchronization.
Example 3
As shown in fig. 1-2, a multi-mode SC-FDE burst transmission carrier synchronization method includes the following steps:
s1, obtaining time slot data: the communication signal time slot frame transmitted by a burst transmission mode between wireless networking nodes comprises at least one subframe, wherein the subframe is a mode A when only one subframe is available, the subframe is a mode B when more than one subframe is available, each subframe is set into a preamble sequence and a UW-DATA-UW DATA sequence which are sequentially arranged, each UW-DATA-UW DATA sequence comprises a preposed UW sequence, a DATA sequence and a postposition UW sequence which are sequentially arranged, each subframe comprises at least one UW-DATA-UW DATA sequence, and the time slot DATA s (n) after framing is obtained according to the constitution of a time slot frame;
as shown in fig. 3, the communication signal slot frame transmitted by the burst transmission mode between the S11 and the wireless networking node includes at least one subframe, each subframe is set as a preamble sequence and a UW-DATA-UW DATA sequence which are sequentially arranged, and the UW-DATA-UW DATA sequence includes a preamble UW sequence, a DATA sequence and a postamble UW sequence which are sequentially arranged; each subframe comprises at least one UW-DATA-UW DATA sequence; the mode a obtains the slot data S (n) and proceeds to step S12, and the mode B obtains the slot data S (n) and proceeds to step S13;
s12, S (n) is S (n) SA(n), K is more than or equal to 1 and less than or equal to K and K UW-DATA-UW DATA sequences are arranged in the time slot frame, and the time slot DATA s (n) after framing is represented as:
Figure BDA0002765603430000111
wherein k is the kth UW-DATA-UW DATA sequence, s, of which the sequence belongs to a time slot framepFor the length N in the sub-framePPreamble sequence slot data, suFor the length N in the sub-frameUuW sequence of time slot data, sdFor the length N in the sub-frameDThe data sequence slot data of (1);
s13, the slot frame includes M sub-frames with M less than or equal to 1, and the slot data S (n) is recorded as S (n) SB(n) the time-slot frame data sequence is a vector sB：
sB＝[sA,1,sA,2,....,sA,M]Wherein s isA,MIs slot data of Mth sub-frame, sA,MIs the same as the time slot data S (n) of step S12;
s2, obtaining a sampling signal: after the time slot frame passes through a wireless channel, obtaining a receiving end baseband digital sampling signal r (n) according to time slot data s (n), wherein the digital sampling signal r (n) comprises a front-leading sampling signal and a UW sampling signal, and the UW sampling signal comprises a front-leading UW sampling signal and a rear-leading UW sampling signal;
Figure BDA0002765603430000112
wherein w (n) is additive white gaussian noise, h (L) is channel impulse response with length L, and Δ f is carrier frequency offset;
s3, calculating an autocorrelation function: calculating to obtain a preamble autocorrelation function according to the preamble sampling signal, and calculating to obtain a UW autocorrelation function according to the UW sampling sequence number;
as shown in fig. 4, in S31, a preamble autocorrelation function is calculated according to the preamble sampling signal, a UW autocorrelation function is calculated according to the UW sampling sequence number, the mode a enters step S32, and the mode B enters step S33;
s32, leading sampling signal r (n), r (n) is z (n);
preamble autocorrelation function r (i):
Figure BDA0002765603430000121
wherein L isPIs the length of the differential correlation of the preamble sequences, LP≤NP/2；
UW autocorrelation function R of kthk,1(i) And Rk,2(i) Respectively calculating a UW autocorrelation function obtained by a pre-UW sampling signal and a post-UW sampling signal of a kth UW-DATA-UW DATA sequence:
Figure BDA0002765603430000122
wherein the length of the differential correlation of the UW sequence is LU，LU≤NU/2；
S33, the time slot frame data sequence includes M sub-frames with M less than or equal to 1, the M leading sampling signal r (n), r (n) zm(n)；
Mth preamble autocorrelation function Rm(i)：
Figure BDA0002765603430000123
Wherein L isPIs the length of the differential correlation of the preamble sequences, LP≤NP/2；
kUW th autocorrelation function R of mth subframem,k,1(i) And Rm,k,2(i) Respectively calculating a UW autocorrelation function through a front UW sampling signal and a rear UW sampling signal of a kth UW-DATA-UW DATA sequence, wherein the length of differential correlation of the UW sequence is LU，LU≤NU/2；
S4, frequency offset estimation: calculating by a preamble autocorrelation function to obtain a preamble frequency deviation estimation value, calculating by a UW autocorrelation function to obtain a UW frequency deviation estimation value, and performing weighted average on the preamble frequency deviation estimation value and the UW frequency deviation estimation value to obtain a final frequency deviation estimation value
Figure BDA0002765603430000131
Completing carrier synchronization;
as shown in fig. 5, S41, calculating a preamble frequency offset estimation value through a preamble autocorrelation function, calculating a UW frequency offset estimation value through a UW autocorrelation function, and performing a weighted average of the preamble frequency offset estimation value and the UW frequency offset estimation value to obtain a frequency offset estimation value
Figure BDA0002765603430000132
Step S42 is entered in mode a, and step S45 is entered in mode B;
s42, obtaining a preamble frequency offset estimation value: for the leader sequence in the time slot frame, the phase position is taken to obtain the estimated value of the leader frequency deviation
Figure BDA00027656034300001314
Figure BDA0002765603430000134
S43, obtaining an UW frequency offset estimation value: the time slot frame comprises K UW-DATA-UW DATA sequences, corresponding to K pre-UW sequences and K post-UW sequences, and each UW sequence is calculatedObtaining an UW frequency deviation estimated value by the average value of the correlation function
Figure BDA0002765603430000135
Figure BDA0002765603430000136
S44, obtaining a UW final frequency offset estimation value: frequency deviation estimation value of preamble
Figure BDA0002765603430000137
And UW frequency offset estimation
Figure BDA0002765603430000138
Obtaining a final frequency deviation estimated value through weighted average
Figure BDA0002765603430000139
Figure BDA00027656034300001310
Completing carrier synchronization;
s45, obtaining a preamble frequency offset estimation value: the time slot frame includes M leading sequences, calculates the average value of each leading autocorrelation function sequence, and then takes phase of the average accumulated result to obtain leading frequency deviation estimated value
Figure BDA00027656034300001311
Figure BDA00027656034300001312
S46, obtaining a frequency offset estimation value: the time slot frame comprises M sub-frames, each sub-frame comprises K UW-DATA-UW DATA sequences, MK preposed UW sequences and MK postposed UW sequences, the average value of each UW autocorrelation function sequence is calculated, and a UW frequency offset estimation value is obtained
Figure BDA00027656034300001313
Figure BDA0002765603430000141
S47, obtaining a final frequency offset estimation value: frequency deviation estimation value of preamble
Figure BDA0002765603430000142
And UW frequency offset estimation
Figure BDA0002765603430000143
Obtaining a final frequency deviation estimated value through weighted average
Figure BDA0002765603430000144
Figure BDA0002765603430000145
And finishing carrier synchronization.
The current slot frame in mode A contains 1 preamble segment and 3 UW-DATA-UW segments. Preamble length N of SC-FDE burst signal frameP64, UW sequence length NU64, the length of the data segment is NDThe FFT length is 1024, 960. In the slot frame, there are M ═ 1 preamble sequence and 2K ═ 6 UW sequences. The slotted frame in mode B contains multiple mode a subframes. Simulation analysis is performed here only for mode a.
The normalized frequency offset estimation range of the carrier synchronization method is simulated as shown in fig. 6. Respectively simulating differential correlation length LP＝LUThe normalized frequency offset estimation ranges are 0.06 and 0.02, respectively, which are carrier frequency offset estimation ranges of 16 and 32. It follows that an increase in the differential correlation length will reduce the effective estimation range of the carrier synchronization method, but will increase the jitter variance of the estimated values.
The mean square error values and cramer-circle of the wavelet synchronization method for different differential correlation lengths are compared in fig. 7. Setting carrier bandwidth10MHz with a doppler shift set to 0.01, can operate within the effective estimation range shown in figure 2. Analysis at LP＝LUThe mean square error performance can be known under the three conditions of 32, 24 and 16, and the difference correlation length LP＝LU＝32＝NPAt/2, the mean square error of the designed frequency offset estimation method approaches the Cramer-Rao limit as the signal-to-noise ratio increases, and LP＝LUThe performance deterioration is small, and the frame structure and the synchronization parameters of the networking communication system are finally determined by comprehensively considering the simulation results and the implementation complexity of fig. 2 and 3 as the engineering implementation candidate parameters.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art should be considered to be within the technical scope of the present invention, and the technical solutions and the inventive concepts thereof according to the present invention should be equivalent or changed within the scope of the present invention.

Claims (6)

1. A multi-mode SC-FDE burst transmission carrier synchronization method is characterized in that: the method comprises the following steps:
s1, obtaining time slot data: the communication signal time slot frame transmitted between wireless networking nodes through a burst transmission mode comprises at least one subframe, each subframe is set to be a leader sequence and a UW-DATA-UW DATA sequence which are sequentially arranged, each UW-DATA-UW DATA sequence comprises a preposed UW sequence, a DATA sequence and a postposition UW sequence which are sequentially arranged, each subframe comprises at least one UW-DATA-UW DATA sequence, and the time slot DATA s (n) after framing is obtained according to the constitution of the time slot frame;
s2, obtaining a sampling signal: after the time slot frame passes through a wireless channel, obtaining a receiving end baseband digital sampling signal r (n) according to the time slot data s (n), wherein the digital sampling signal r (n) comprises a leading sampling signal and a UW sampling signal, and the UW sampling signal comprises the leading UW sampling signal and the trailing UW sampling signal;
s3, calculating an autocorrelation function: calculating to obtain a preamble autocorrelation function according to the preamble sampling signal, and calculating to obtain a UW autocorrelation function according to the UW sampling sequence number;
s4, frequency offset estimation: calculating by the leader autocorrelation function to obtain a leader frequency deviation estimation value, calculating by the UW autocorrelation function to obtain a UW frequency deviation estimation value, and performing weighted average on the leader frequency deviation estimation value and the UW frequency deviation estimation value to obtain a final frequency deviation estimation value
Figure FDA0002765603420000011
And finishing carrier synchronization.
2. The method of claim 1, wherein the method comprises: step S1 includes the following steps:
s11, the time slot frame of the communication signal transmitted between the wireless networking nodes in the burst transmission mode includes at least one subframe, each subframe is set as the preamble sequence and the UW-DATA-UW DATA sequence which are arranged in sequence, and the UW-DATA-UW DATA sequence includes the preamble UW sequence, the DATA sequence and the post-UW sequence which are arranged in sequence; each said subframe including at least one said UW-DATA-UW DATA sequence; when the timeslot frame only contains one subframe, obtaining the timeslot data S (n) and entering step S12, and when the timeslot frame contains more than one subframe, obtaining the timeslot data S (n) and entering step S13;
s12, the time slot data S (n) is expressed as S (n) ═ SA(n), K is more than or equal to 1 and less than or equal to K in the time slot frame, and K DATA sequences of the UW-DATA-UW are contained in the time slot frame, wherein the time slot DATA s (n) after framing is represented as:
Figure FDA0002765603420000021
wherein k is the k-th UW-DATA-UW DATA sequence, s, of which the sequence belongs to the time slot framepFor the length of N in the sub-framePPreamble sequence slot data, suFor the length of N in the sub-frameUuW sequence of time slot data, sdFor the length of N in the sub-frameDThe data sequence slot data of (1);
s13, wherein the slot frame includes M sub-frames equal to or greater than 1 and equal to or less than M sub-frames, and the slot data S (n) is expressed as S (n) SB(n), the time slot frame data sequence is a vector sB：
sB＝[sA,1,sA,2,....,sA,M]Wherein s isA,MIs slot data of Mth sub-frame, sA,MIs the same as the time slot data S (n) of step S12.
3. The method of claim 2, wherein the method comprises: and K is distributed to each networking node by a network resource management system, and the front UW sequence and the rear UW sequence are Frank-Zadoff sequences.
4. The method of claim 1, wherein the method comprises: in the step S2, in the step S,
Figure FDA0002765603420000022
where w (n) is additive white gaussian noise, h (L) is channel impulse response of length L, and Δ f is carrier frequency offset.
5. The method of claim 1, wherein the method comprises: step S3 includes the following steps:
s31, calculating to obtain a preamble autocorrelation function according to the preamble sampling signal, calculating to obtain a UW autocorrelation function according to the UW sampling sequence number, entering step S32 when the time slot frame only contains one subframe, and entering step S33 when the time slot frame contains more than one subframe;
s32, the leading sampling signal r (n), r (n) z (n);
the preamble autocorrelation function r (i):
Figure FDA0002765603420000031
wherein L isPIs the length of the differential correlation of the preamble sequences, LP≤NP/2；
The UW autocorrelation function R of the kthk,1(i) And Rk,2(i) The UW autocorrelation functions calculated by the pre-UW sampling signal and the post-UW sampling signal of the UW-DATA-UW DATA sequence of the kth segment are respectively:
Figure FDA0002765603420000032
wherein the length of the differential correlation of the UW sequence is LU，LU≤NU/2；
S33, the time slot frame data sequence includes M sub-frames with the number of M being more than or equal to 1, M leading sampling signals r (n), r (n) zm(n)；
Mth preamble autocorrelation function Rm(i)：
Figure FDA0002765603420000033
Wherein L isPIs the length of the differential correlation of the preamble sequences, LP≤NP/2；
The UW autocorrelation function R of the kth of the mth subframem,k,1(i) And Rm,k,2(i) The UW autocorrelation functions are respectively obtained by calculation of the pre-UW sampling signal and the post-UW sampling signal of the UW-DATA-UW DATA sequence of the kth segment, and the length of differential correlation of the UW sequence is LU，LU≤NU/2。
6. The method of claim 1, wherein the method comprises: step S4 includes the following steps:
s41, calculating by the leader autocorrelation function to obtain a leader frequency offset estimation value, calculating by the UW autocorrelation function to obtain a UW frequency offset estimation value, and performing weighted average on the leader frequency offset estimation value and the UW frequency offset estimation value to obtain a frequency offset estimation value
Figure FDA0002765603420000034
Step S42 when the slot frame contains only one sub-frame, step S45 when the slot frame contains more than one sub-frame;
s42, obtaining a preamble frequency offset estimation value: for the leader sequence in the time slot frame, phase position is taken to obtain the estimated value of the leader frequency deviation
Figure FDA0002765603420000035
Figure FDA0002765603420000036
S43, obtaining an UW frequency offset estimation value: the time slot frame comprises K UW-DATA-UW DATA sequences, K pre-UW sequences and K post-UW sequences correspondingly, and the average value of each UW autocorrelation function is calculated to obtain the UW frequency offset estimation value
Figure FDA0002765603420000041
Figure FDA0002765603420000042
S44, obtaining a final frequency offset estimation value: the preamble frequency offset estimation value
Figure FDA0002765603420000043
And the UW frequency offset estimation value
Figure FDA0002765603420000044
Obtaining a final frequency deviation estimated value through weighted average
Figure FDA0002765603420000045
Figure FDA0002765603420000046
Completing carrier synchronization;
s45, obtaining a preamble frequency offset estimation value: the time slot frame comprises M leader sequences, the average value of each leader autocorrelation function sequence is calculated, and the phase of the accumulated result after the average is taken to obtain the estimated value of the leader frequency deviation
Figure FDA0002765603420000047
Figure FDA0002765603420000048
S46, obtaining a frequency offset estimation value: the time slot frame comprises M sub-frames, each sub-frame comprises K UW-DATA-UW DATA sequences, MK pre-UW sequences and MK post-UW sequences are totally included, the average value of each UW autocorrelation function sequence is calculated, and the UW frequency offset estimation value is obtained
Figure FDA0002765603420000049
Figure FDA00027656034200000410
S47, obtaining a final frequency offset estimation value: the preamble frequency offset estimation value
Figure FDA00027656034200000411
And the UW frequency offset estimation value
Figure FDA00027656034200000412
Obtaining a final frequency deviation estimated value through weighted average
Figure FDA00027656034200000413
Figure FDA00027656034200000414
And finishing carrier synchronization.
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