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 PDFInfo
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- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
- H04L25/03006—Arrangements for removing intersymbol interference
- H04L25/03159—Arrangements for removing intersymbol interference operating in the frequency domain
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
- H04L25/03006—Arrangements for removing intersymbol interference
- H04L25/03178—Arrangements involving sequence estimation techniques
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- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
- H04L25/03006—Arrangements for removing intersymbol interference
- H04L25/03178—Arrangements involving sequence estimation techniques
- H04L25/03305—Joint sequence estimation and interference removal
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- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
- H04L25/03891—Spatial equalizers
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- H—ELECTRICITY
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- H04L27/00—Modulated-carrier systems
- H04L27/18—Phase-modulated carrier systems, i.e. using phase-shift keying
- H04L27/20—Modulator circuits; Transmitter circuits
- H04L27/2003—Modulator circuits; Transmitter circuits for continuous phase modulation
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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
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:
at a transmitting end, setting the l binary information source sequence with the length of N asDividing it into two sub-blocks to obtain the expression ofWherein:
a second sub-block of the plurality of sub-blocks,in the formula (I), the compound is shown in the specification,is the ith binary symbol of the ith block, i ═ N p ,N p +1,…,N-1,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-blockN represents a binary source sequenceLength of (1), N p Representing the second sub-blockLength 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) aIs copied toAs a cyclic prefixThe cyclic data block is obtained by the expression:
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 , 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:
At a transmitting end, a first binary source sequence with the length of N is randomly generatedIn 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 obtainedWherein:
a second sub-block of the plurality of sub-blocks,in the formula (I), the compound is shown in the specification,is the ith binary symbol of the ith block, i ═ N p ,N p +1,…,N-1,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-blockN denotes a binary source sequenceLength of (1), N p Representing the second sub-blockN, 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。
In order to eliminate intersymbol interference, a source sequence is requiredInserting cyclic prefix, and growing the tail of the information source sequence to N p Of (2)Is copied toAs a cyclic prefixThe cyclic data block is obtained by the formula:
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 , 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 prefixesLength N p First sub-blockLength of (N-N) p ) Second sub-blockLength 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},
(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):
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,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:
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 whichIs formed by the first sub-block of the cyclic data blockThe corresponding SOQPSK-TG signal obtained by the SOQPSK-TG modulator,is formed by the second sub-block of the cyclic data blockThe corresponding SOQPSK-TG signal obtained by the SOQPSK-TG modulator,by cyclic prefix of cyclic data blockAnd 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:
As can be seen from FIG. 4(a), the cyclic prefix of the tail-less cyclic data block of the present inventionAnd sub-blockThe 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.
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:
at a transmitting end, setting the l binary information source sequence with the length of N asDividing it into two sub-blocks to obtain the expression ofWherein:
in the formula (I), the compound is shown in the specification,is the ith binary symbol of the ith block, i ═ N p ,N p +1,…,N-1,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-blockN denotes a binary source sequenceLength of (1), N p Representing the second sub-blockLength 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) aIs copied toAs a cyclic prefixThe cyclic data block is obtained by the formula:
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 , 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) )
3. The method according to claim 1, wherein the SOQPSK-TG signal s obtained in (3b) n (l) (t), expressed as:
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,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:
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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