CN114866382A - SOQPSK-TG signal generation method based on tail-free symbol cyclic data block - Google Patents

SOQPSK-TG signal generation method based on tail-free symbol cyclic data block Download PDF

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CN114866382A
CN114866382A CN202210400587.XA CN202210400587A CN114866382A CN 114866382 A CN114866382 A CN 114866382A CN 202210400587 A CN202210400587 A CN 202210400587A CN 114866382 A CN114866382 A CN 114866382A
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soqpsk
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CN114866382B (en
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孙锦华
王英
赵伊倩
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Xidian University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006Arrangements for removing intersymbol interference
    • H04L25/03159Arrangements for removing intersymbol interference operating in the frequency domain
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006Arrangements for removing intersymbol interference
    • H04L25/03178Arrangements involving sequence estimation techniques
    • H04L25/03248Arrangements for operating in conjunction with other apparatus
    • H04L25/03254Operation with other circuitry for removing intersymbol interference
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006Arrangements for removing intersymbol interference
    • H04L25/03178Arrangements involving sequence estimation techniques
    • H04L25/03305Joint sequence estimation and interference removal
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03891Spatial equalizers
    • 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
    • H04L27/20Modulator circuits; Transmitter circuits
    • H04L27/2003Modulator circuits; Transmitter circuits for continuous phase modulation
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

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Abstract

The invention discloses a SOQPSK-TG signal generation method based on a tail-less symbol cyclic data block, which mainly solves the problems of complex data block structure and increased system overhead caused by the need of inserting tail symbols in the prior art. The implementation scheme is as follows: dividing an information source sequence randomly generated by a sending end into two sub-blocks, copying the second sub-block to the front end of the information source sequence to be used as a cyclic prefix, and constructing a cyclic data block which does not contain tail symbols; modulating the cyclic data block into an SOQPSK-TG signal by using an SOQPSK-TG modulator; the invention can ensure that the generated SOQPSK-TG signal meets the characteristics of phase continuity and cycle period, simplifies the structure of the cycle data block, reduces the system overhead and complexity and reduces the waste of frequency spectrum resources compared with the conventional SOQPSK-TG signal generated by inserting the tail symbol data block, and can be used for inserting the cyclic prefix and eliminating the intersymbol interference by frequency domain equalization.

Description

SOQPSK-TG signal generation method based on tail-free symbol cyclic data block
Technical Field
The invention belongs to the technical field of wireless communication, and particularly relates to a method for constructing a cyclic data block without a tail symbol, which can be used for insertion of a cyclic prefix in an SOQPSK single-carrier frequency domain equalization system and frequency domain equalization to eliminate intersymbol interference.
Background
Shaped-offset quadrature phase shift keying, SOQPSK, is a special continuous phase modulation, CPM, technique that has gained widespread attention in recent years with its excellent characteristics. The frequency spectrum main lobe of the partially responded forming offset quadrature phase shift keying SOQPSK-TG signal is more compact, the frequency band utilization rate is higher, the peak-to-average power ratio (PAPR) is lower due to the constant envelope characteristic, and the requirement of a system on hardware equipment is lower. The single carrier frequency domain equalization technology SC-FDE is an effective scheme for resisting multipath effect in broadband wireless communication, and has low complexity, low sensitivity to frequency deviation and low peak-to-average power ratio (PAPR).
The key problem to be solved by combining the SOQPSK-TG with the SC-FDE technology is as follows: in the process of combining the two, the cyclic convolution characteristic required by SC-FDE is ensured, and the phase continuity characteristic of the SOQPSK-TG signal is also ensured; this problem can be solved by constructing cyclic data blocks of the SOQPSK-TG signal.
In 2005, Jun Tan et al teach a data block construction method suitable for CPM frequency domain equalization to maintain phase continuity of CPM signals, which is called a phase nulling method, and requires two tail symbols of equal length, thus incurring a high overhead.
In 2006, the scholars of Fabrizio pancaladi et al proposed a data block construction method based on signal state vectors. The method is suitable for CPM frequency domain equalization, only needs one section of extra binary tail symbol segment, and has smaller expenditure compared with the phase return-to-zero method. However, since the SOQPSK signal modulator has a precoder and needs to convert binary symbols into ternary symbols, the above methods proposed for CPM signals cannot be directly adopted.
The patent document with application number 201810744474.5 in laugh proposes a data block construction method based on an SOQPSK-TG signal, and the data block constructed by the method includes a tail symbol of two bits, which has the problems of complicated structure and waste of system overhead.
Disclosure of Invention
The invention aims to provide an SOQPSK-TG signal generation method based on a tail-less symbol cyclic data block to overcome the defects of the prior art, so that the structure of the cyclic data block is simplified, the system overhead is reduced, and the phase track and bit error performance consistent with those of the prior art are obtained.
In order to achieve the above purpose, the technical scheme of the invention comprises the following steps:
(1) information source sequence
Figure BDA0003599922160000021
Split into two sub-blocks:
at a transmitting end, setting the l binary information source sequence with the length of N as
Figure BDA0003599922160000022
Dividing it into two sub-blocks to obtain the expression of
Figure BDA0003599922160000023
Wherein:
a first sub-block of the plurality of sub-blocks,
Figure BDA0003599922160000024
a second sub-block of the plurality of sub-blocks,
Figure BDA0003599922160000025
in the formula (I), the compound is shown in the specification,
Figure BDA0003599922160000026
is the ith binary symbol of the ith block, i ═ N p ,N p +1,…,N-1,
Figure BDA0003599922160000027
J-th binary symbol representing the l-th block, j being N, N +1, …, N + N p -1,(N-N p ) Representing the first sub-block
Figure BDA0003599922160000028
N represents a binary source sequence
Figure BDA0003599922160000029
Length of (1), N p Representing the second sub-block
Figure BDA00035999221600000210
Length of cyclic prefix, N p ≥L D +L,L D The symbol interval corresponding to the maximum time delay of the multipath channel, and L is the phase constraint length;
(2) the tail length of the information source sequence is N p Of (2) a
Figure BDA00035999221600000211
Is copied to
Figure BDA00035999221600000212
As a cyclic prefix
Figure BDA00035999221600000213
The cyclic data block is obtained by the expression:
Figure BDA00035999221600000214
wherein n represents a cyclic data block d n (l) N is not less than 0 and not more than N T -1,N T Indicating a cyclic data block d n (l) Length of (1), N T =N+N p
Figure BDA00035999221600000215
Figure BDA00035999221600000216
M-th binary symbol representing the l-th block, m being 0,1, …, N p -1;
(3) Using cyclic data blocks d n (l) Generating an SOQPSK-TG signal through an SOQPSK-TG modulator:
(3a) will cycle through data block d n (l) Inputting the binary data block sequence d to an SOQPSK-TG modulator, and using a precoder in the modulator n (l) Coded into ternary sequence alpha to be modulated n (l)
(3b) Using a continuous phase modulator in the modulator to modulate the ternary sequence alpha to be modulated n (l) Performing continuous phase modulation to obtain SOQPSK-TG signal s n (l) (t)。
The invention improves the data block structure containing two bit tail symbols in the prior art, deletes the tail symbols, and forms a cyclic data block structure without tail symbols, thereby not only simplifying the structure of the data block, reducing the system overhead and complexity, and reducing the waste of frequency spectrum resources, but also ensuring that the SOQPSK-TG signal generated by the data block can have the phase trajectory and bit error performance consistent with the prior art.
Drawings
FIG. 1 is a flow chart of an implementation of the present invention;
FIG. 2 is a block diagram of a tailless symbolic loop data block constructed in the present invention;
FIG. 3 is a schematic diagram of the signal SOQPSK-TG generated by the cyclic data block constructed according to the present invention;
FIG. 4 is a graph comparing phase traces of the present invention and a conventional cyclic data block;
FIG. 5 is a graph comparing error rate curves of SOQPSK-TG signals generated by the present invention and the prior art cyclic data block.
Detailed Description
The following describes in detail specific embodiments and effects of the present invention with reference to the accompanying drawings.
Referring to fig. 1, the implementation steps of this example are as follows:
step 1, aiming at information source sequence
Figure BDA0003599922160000031
And (6) carrying out segmentation.
At a transmitting end, a first binary source sequence with the length of N is randomly generated
Figure BDA0003599922160000032
In order to make the data block have the characteristic of circular convolution, the data block is divided into two sub-blocks, and the expression is obtained
Figure BDA0003599922160000033
Wherein:
a first sub-block of the plurality of sub-blocks,
Figure BDA0003599922160000034
a second sub-block of the plurality of sub-blocks,
Figure BDA0003599922160000035
in the formula (I), the compound is shown in the specification,
Figure BDA0003599922160000036
is the ith binary symbol of the ith block, i ═ N p ,N p +1,…,N-1,
Figure BDA0003599922160000037
J-th binary symbol representing the l-th block, j being N, N +1, …, N + N p -1,(N-N p ) Representing the first sub-block
Figure BDA0003599922160000038
N denotes a binary source sequence
Figure BDA0003599922160000039
Length of (1), N p Representing the second sub-block
Figure BDA00035999221600000310
N, i.e. the length of the cyclic prefix, is required so that a linear convolution of the signal with the time-domain response of the channel can be equated to a cyclic convolution p Must be longer than the total memory length of the channel and modulation, i.e. N p ≥L D +L,L D The symbol interval corresponding to the maximum time delay of the multipath channel, and L is the phase constraint length; in this embodiment, 1, N858, N p =128,L=8。
Step 2, for the divided information source sequence
Figure BDA00035999221600000311
A cyclic prefix is inserted.
In order to eliminate intersymbol interference, a source sequence is required
Figure BDA00035999221600000312
Inserting cyclic prefix, and growing the tail of the information source sequence to N p Of (2)
Figure BDA0003599922160000041
Is copied to
Figure BDA0003599922160000042
As a cyclic prefix
Figure BDA0003599922160000043
The cyclic data block is obtained by the formula:
Figure BDA0003599922160000044
wherein n represents a cyclic data block d n (l) N is not less than 0 and not more than N T -1,N T Indicating a cyclic data block d n (l) Length of (1), N T =N+N p
Figure BDA0003599922160000045
Figure BDA0003599922160000046
M-th binary symbol representing the l-th block, m being 0,1, …, N p -1; example N T =986。
The structure of the tailless symbol cyclic data block constructed through the above steps is shown in fig. 2, in which cyclic prefixes are cyclic prefixes
Figure BDA0003599922160000047
Length N p First sub-block
Figure BDA0003599922160000048
Length of (N-N) p ) Second sub-block
Figure BDA0003599922160000049
Length of N p Whole, ofThe length of the cyclic data block is N T
Step 3, using the cyclic data block d n (l) And generating an SOQPSK-TG signal by an SOQPSK-TG modulator.
The SOQPSK-TG modulator is formed by connecting a precoder and a continuous phase modulator in series, wherein the precoder can encode binary sequences into ternary sequences, and the continuous phase modulator can generate the ternary sequences into SOQPSK-TG signals.
The specific implementation of this step is as follows:
(3.1) will cycle the data block d n (l) A precoder for inputting into the SOQPSK-TG modulator, a sequence of binary data blocks d n (l) Coded into ternary sequence alpha to be modulated n (l) Wherein the ternary sequence to be modulated alpha n (l) The ith symbol of (2) i (l) Expressed as:
α i (l) =(-1) i+1 (2d i-1 (l) -1)(d i (l) -d i-2 (l) )
wherein d is i (l) 、d i-1 (l) 、d i-2 (l) Respectively representing sequences d of binary data blocks n (l) I, i-1, i-2 symbols of (1), i is more than or equal to 0 and less than or equal to N T -1,d i (l) ∈{0,1},
Figure BDA00035999221600000410
(3.2) ternary sequence to be modulated alpha n (l) Then continuous phase modulation is carried out through a continuous phase modulator to obtain an SOQPSK-TG signal s n (l) (t):
Figure BDA00035999221600000411
Wherein t represents time, nT b ≤t≤(n+1)T b N represents a ternary sequence to be modulated alpha n (l) N is not less than 0 and not more than N T -1,E b Is bit energy, T b In order to be a bit period of the bit,
Figure BDA00035999221600000412
representing ternary sequences to be modulated alpha n (l) J represents the unit of an imaginary number in the complex number, exp (-) represents an exponential function based on a natural constant e, phi (t, alpha) n (l) ) As a function of phase, expressed as:
Figure BDA0003599922160000051
wherein h is a modulation index, alpha i (l) Representing ternary sequences to be modulated alpha n (l) I is not less than 0 and not more than n, q TG (. cndot.) denotes a phase pulse; example T b =1/6×10 6 ,h=1/2。
The SOQPSK-TG signal generated by the above steps is shown in FIG. 3, in which
Figure BDA0003599922160000052
Is formed by the first sub-block of the cyclic data block
Figure BDA0003599922160000053
The corresponding SOQPSK-TG signal obtained by the SOQPSK-TG modulator,
Figure BDA0003599922160000054
is formed by the second sub-block of the cyclic data block
Figure BDA0003599922160000055
The corresponding SOQPSK-TG signal obtained by the SOQPSK-TG modulator,
Figure BDA0003599922160000056
by cyclic prefix of cyclic data block
Figure BDA0003599922160000057
And obtaining a corresponding SOQPSK-TG signal through an SOQPSK-TG modulator.
The effects of the present invention can be further illustrated by the following simulations:
1. simulation conditions are as follows:
simulation Using MATLAB R2018a simulation software, a frame of data contains 5 cyclic data blocks, N in each data block p 128, valid data N T The modulation mode adopts SOQPSK-TG, and the fading coefficients and time delays of the paths of the multipath channel are respectively [1,0.5,0.1 and 0.01 ]]And [0,5,10,20]And mu s, balancing by adopting a minimum mean square error criterion, assuming ideal estimation of each parameter of the channel, and simulating 25000 times.
2. Simulation content and result analysis:
simulation 1, respectively simulating the phase trajectory of the endless symbol loop data block in the present invention and the phase trajectory of the two-bit endless symbol loop data block in the prior art, and the simulation result is shown in fig. 4. Fig. 4(a) is a phase trajectory graph of the present invention, and fig. 4(b) is a phase trajectory graph of the prior art.
As can be seen from FIG. 4(a), the cyclic prefix of the tail-less cyclic data block of the present invention
Figure BDA0003599922160000058
And sub-block
Figure BDA0003599922160000059
The corresponding phase locus curves are completely consistent and meet the characteristic of a cycle period, and the phase with the start time N equal to 0 and the end time N equal to N T The phases of the data blocks are equal, so that the characteristic of continuous phases is met, namely the cyclic data block constructed in the invention meets the requirement of constructing the data block;
as can be seen from the comparison between FIG. 4(a) and FIG. 4(b), the phase trajectory curves of the present invention's tailless symbol cycle data block and the prior art's two-bit tailed symbol cycle data block are in the interval [0, N]And [ N + L +2, N T ]The invention obtains the phase track curve consistent with the prior art under the data block structure without inserting tail symbols, which shows that the invention simplifies the structure of the data block and reduces the costThe system complexity is low.
Simulation 2, after the SOQPSK-TG signal generated by the tailless symbol cyclic data block of the present invention and the SOQPSK-TG signal generated by the two-bit tailed symbol cyclic data block in the prior art are processed by the same multipath channel and the receiver, the error rate is calculated to obtain an error rate comparison curve, and the result is shown in fig. 5. Wherein the abscissa is the signal-to-noise ratio in decibels (dB) and the ordinate is the bit error rate.
As can be seen from fig. 5, the error rate curves of the SOQPSK-TG signal generated by the two-bit tail symbol cyclic data block in the prior art are completely consistent, which further indicates that the error rate curve consistent with the prior art can be obtained without inserting a tail symbol in the data block structure, thereby reducing the overhead of the system and the waste of spectrum resources.

Claims (3)

1. A method for generating an SOQPSK-TG signal based on a cyclic data block without tail symbols, comprising:
(1) information source sequence
Figure FDA0003599922150000011
Split into two sub-blocks:
at a transmitting end, setting the l binary information source sequence with the length of N as
Figure FDA0003599922150000012
Dividing it into two sub-blocks to obtain the expression of
Figure FDA0003599922150000013
Wherein:
a first sub-block of the plurality of sub-blocks,
Figure FDA0003599922150000014
a second sub-block of the plurality of sub-blocks,
Figure FDA0003599922150000015
in the formula (I), the compound is shown in the specification,
Figure FDA0003599922150000016
is the ith binary symbol of the ith block, i ═ N p ,N p +1,…,N-1,
Figure FDA0003599922150000017
J-th binary symbol representing the l-th block, j being N, N +1, …, N + N p -1,(N-N p ) Representing the first sub-block
Figure FDA0003599922150000018
N denotes a binary source sequence
Figure FDA0003599922150000019
Length of (1), N p Representing the second sub-block
Figure FDA00035999221500000110
Length of cyclic prefix, N p ≥L D +L,L D The symbol interval corresponding to the maximum time delay of the multipath channel, and L is the phase constraint length;
(2) the tail length of the information source sequence is N p Of (2) a
Figure FDA00035999221500000111
Is copied to
Figure FDA00035999221500000112
As a cyclic prefix
Figure FDA00035999221500000113
The cyclic data block is obtained by the formula:
Figure FDA00035999221500000114
wherein n represents a cyclic data block d n (l) N is not less than 0 and not more than N T -1,N T Indicating a cyclic data block d n (l) Length of (1), N T =N+N p
Figure FDA00035999221500000115
Figure FDA00035999221500000116
M-th binary symbol representing the l-th block, m being 0,1, …, N p -1;
(3) Using cyclic data blocks d n (l) Generating an SOQPSK-TG signal through an SOQPSK-TG modulator:
(3a) will cycle through data block d n (l) Inputting the binary data block sequence d to an SOQPSK-TG modulator, and using a precoder in the modulator n (l) Coded into ternary sequence alpha to be modulated n (l)
(3b) Using a continuous phase modulator in the modulator to modulate the ternary sequence alpha to be modulated n (l) Performing continuous phase modulation to obtain SOQPSK-TG signal s n (l) (t)。
2. The method of claim 1, wherein (3a) uses a precoder in a modulator to encode a sequence of binary data blocks d n (l) Coded into ternary sequence alpha to be modulated n (l) Wherein the ternary sequence to be modulated alpha n (l) The ith symbol of (2) i (l) Expressed as:
α i (l) =(-1) i+1 (2d i-1 (l) -1)(d i (l) -d i-2 (l) )
wherein d is i (l) 、d i-1 (l) 、d i-2 (l) Respectively representing sequences d of binary data blocks n (l) I, i-1, i-2 symbols of (1), i is more than or equal to 0 and less than or equal to N T -1,d i (l) ∈{0,1},
Figure FDA0003599922150000021
3. The method according to claim 1, wherein the SOQPSK-TG signal s obtained in (3b) n (l) (t), expressed as:
Figure FDA0003599922150000022
wherein t represents time, nT b ≤t≤(n+1)T b N represents a ternary sequence to be modulated alpha n (l) N is not less than 0 and not more than N T -1,E b Is bit energy, T b Is a period of a bit or a bit,
Figure FDA0003599922150000023
representing ternary sequences to be modulated alpha n (l) J represents the unit of an imaginary number in the complex number, exp (-) represents an exponential function based on a natural constant e, phi (t, alpha) n (l) ) As a function of phase, expressed as:
Figure FDA0003599922150000024
wherein h is a modulation index, alpha i (l) Representing ternary sequences to be modulated alpha n (l) I is not less than 0 and not more than n, q TG (. cndot.) denotes a phase pulse.
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