CN107769863B - Modulation method and device based on two-way multidirectional probability mapping - Google Patents

Modulation method and device based on two-way multidirectional probability mapping Download PDF

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CN107769863B
CN107769863B CN201711052107.0A CN201711052107A CN107769863B CN 107769863 B CN107769863 B CN 107769863B CN 201711052107 A CN201711052107 A CN 201711052107A CN 107769863 B CN107769863 B CN 107769863B
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CN107769863A (en
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刘博�
忻向军
张丽佳
张琦
王拥军
孙英富
李博文
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Beijing University of Posts and Telecommunications
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B14/00Transmission systems not characterised by the medium used for transmission
    • H04B14/02Transmission systems not characterised by the medium used for transmission characterised by the use of pulse modulation
    • H04B14/023Transmission systems not characterised by the medium used for transmission characterised by the use of pulse modulation using pulse amplitude modulation
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B10/00Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
    • H04B10/50Transmitters
    • H04B10/516Details of coding or modulation
    • H04B10/524Pulse modulation
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B14/00Transmission systems not characterised by the medium used for transmission
    • H04B14/02Transmission systems not characterised by the medium used for transmission characterised by the use of pulse modulation
    • H04B14/026Transmission systems not characterised by the medium used for transmission characterised by the use of pulse modulation using pulse time characteristics modulation, e.g. width, position, interval
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056Systems characterized by the type of code used
    • H04L1/0071Use of interleaving

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Abstract

The embodiment of the invention provides a modulation method and a device based on two-way multidirectional probability mapping, wherein the method comprises the following steps: the method comprises the steps of carrying out serial-to-parallel conversion on a signal to be modulated to generate six paths of sub-signals, carrying out probability mapping on the four paths of sub-signals to obtain a mapping signal set, determining an amplitude mapping result corresponding to a signal value of each moment of the first two paths of mapping signals in the mapping signal set according to a first constellation diagram, determining a position mapping result corresponding to a signal value of each moment of the second two paths of mapping signals in the mapping signal set and the two paths of sub-signals except the four paths of sub-signals in the six paths of sub-signals according to a second constellation diagram, and obtaining an APPM signal according to the amplitude mapping result and the position mapping result. According to the embodiment, the signal to be modulated can be mapped into the mapping signals with different probabilities, and the APPM signal can be obtained according to the first constellation diagram and the second constellation diagram, so that a complex constellation diagram does not need to be designed, and the complexity of signal modulation can be reduced.

Description

Modulation method and device based on two-way multidirectional probability mapping
Technical Field
The present invention relates to the field of signal modulation technologies, and in particular, to a modulation method and apparatus based on two-way multidirectional probability mapping, an electronic device, and a computer-readable storage medium.
Background
With the wide spread of the internet industry and the expansion of the demand of people for information resources, in order to improve the transmission performance of an optical communication system, a signal to be transmitted needs to be modulated before being transmitted. Generally, the signal to be modulated can be mapped onto a coordinate system and represented in the form of discrete points, which are called constellation points, and the coordinate system containing these constellation points is called a constellation diagram.
In the prior art, APPM (Pulse Amplitude and Pulse Position Modulation) is used. The APPM may map the amplitude and position of the signal to a constellation map, respectively, and generate an APPM signal according to the amplitude mapping result and the position mapping result. In the existing signal modulation method, because the signal to be modulated is usually bit stream with equal probability, in order to reduce the transmission power when transmitting the signal, a constellation diagram with unequal intervals needs to be designed to achieve that the constellation points in the constellation diagram reach the expected optimal distribution. And a more complex algorithm is needed for designing the constellation diagram with unequal intervals, so that the complexity of signal modulation is higher.
Disclosure of Invention
Embodiments of the present invention provide a modulation method and apparatus based on two-way multidirectional probability mapping, an electronic device, and a computer-readable storage medium, which can reduce the complexity of signal modulation. The specific technical scheme is as follows:
in a first aspect, an embodiment of the present invention provides a modulation method based on two-way multidirectional probability mapping, where the method includes:
acquiring a signal to be modulated, and performing serial-parallel conversion on the signal to be modulated to generate six paths of parallel sub-signals;
respectively carrying out probability mapping on four paths of sub signals in the six paths of sub signals according to a preset mapping rule to obtain a mapping signal set containing the four paths of mapping signals;
determining an amplitude mapping result corresponding to a signal value of each moment of the first two paths of mapping signals in the mapping signal set according to a first constellation diagram, wherein the first constellation diagram records a mapping relation between the signal value and the amplitude of the mapping signals; determining a position mapping result corresponding to a signal value of each moment of the last two paths of mapping signals in the mapping signal set and the two paths of sub signals except the four paths of sub signals in the six paths of sub signals according to a second constellation diagram, wherein the second constellation diagram records a mapping relation between the signal value and the position of the mapping signals;
and modulating the APPM according to the amplitude mapping result and the position mapping result at each moment to obtain an APPM signal corresponding to the signal to be modulated.
Optionally, the performing, according to a preset mapping rule, probability mapping on four paths of sub signals in the six paths of sub signals respectively to obtain a mapping signal set including four paths of mapping signals includes:
respectively carrying out first interleaving processing on four paths of sub signals in the six paths of sub signals to obtain an interleaved signal set containing four paths of interleaved signals;
respectively carrying out probability mapping on four paths of interleaved signals in the interleaved signal set according to a preset mapping rule to obtain a probability signal set containing four paths of probability signals;
and respectively carrying out second interleaving processing on the four paths of probability signals in the probability signal set to obtain a mapping signal set containing four paths of mapping signals.
Optionally, the performing probability mapping on the four channels of interleaved signals in the interleaved signal set according to a preset mapping rule includes:
respectively carrying out first probability mapping on a first path of interleaved signals and a third path of interleaved signals in the interleaved signal set;
and respectively carrying out second probability mapping on the second path of interleaved signals and the fourth path of interleaved signals in the interleaved signal set.
Optionally, the determining, according to the second constellation diagram, a position mapping result corresponding to a signal value of each time of the last two paths of mapping signals in the mapping signal set and the two paths of sub-signals, except for the four paths of sub-signals, in the six paths of sub-signals includes:
determining a sub-constellation corresponding to the signal value of each moment of the two paths of mapping signals in the mapping signal set according to the second constellation;
and in the determined sub-constellation, determining a position mapping result at each moment according to the signal value at each moment of two sub-signals except the four sub-signals in the six sub-signals.
Optionally, the first constellation includes four signal amplitudes;
the second constellation includes four sub-constellations, each of the sub-constellations including four signal positions.
Optionally, the method further includes:
acquiring a target APPM signal;
demodulating the target APPM signal to obtain an amplitude mapping result and a position mapping result at each moment;
obtaining an amplitude signal set which comprises two paths of amplitude signals and corresponds to an amplitude mapping result at the moment according to the first constellation diagram; according to the second constellation diagram, a position signal set which corresponds to the position mapping result at the moment and contains four paths of position signals is obtained;
respectively carrying out inverse probability mapping on the two paths of amplitude signals in the amplitude signal set and the front two paths of position signals in the position signal set according to the mapping rule to obtain four paths of demodulation sub-signals;
and performing parallel-serial conversion on the obtained four paths of demodulation sub-signals and the two paths of position signals in the position signal set to obtain demodulation signals corresponding to the target APPM signals.
In a second aspect, an embodiment of the present invention provides a modulation apparatus based on two-way multidirectional probability mapping, where the apparatus includes:
the conversion module is used for acquiring a signal to be modulated and carrying out serial-parallel conversion on the signal to be modulated to generate six paths of parallel sub-signals;
the mapping module is used for respectively carrying out probability mapping on four paths of sub signals in the six paths of sub signals according to a preset mapping rule to obtain a mapping signal set containing the four paths of mapping signals;
the determining module is configured to determine, according to a first constellation diagram, an amplitude mapping result corresponding to a signal value of each time of two previous mapping signals in the mapping signal set, where the first constellation diagram records a mapping relationship between the signal value and the amplitude of the mapping signal; determining a position mapping result corresponding to a signal value of each moment of the last two paths of mapping signals in the mapping signal set and the two paths of sub signals except the four paths of sub signals in the six paths of sub signals according to a second constellation diagram, wherein the second constellation diagram records a mapping relation between the signal value and the position of the mapping signals;
and the modulation module is used for modulating the APPM according to the amplitude mapping result and the position mapping result at each moment to obtain an APPM signal corresponding to the signal to be modulated.
Optionally, the mapping module includes:
the first interleaving submodule is used for respectively performing first interleaving processing on four paths of sub signals in the six paths of sub signals to obtain an interleaved signal set containing the four paths of interleaved signals;
the mapping submodule is used for respectively carrying out probability mapping on four paths of interleaved signals in the interleaved signal set according to a preset mapping rule to obtain a probability signal set containing four paths of probability signals;
and the second interleaving submodule is used for respectively carrying out second interleaving processing on the four paths of probability signals in the probability signal set to obtain a mapping signal set containing four paths of mapping signals.
Optionally, the mapping sub-module is specifically configured to perform first probability mapping on the first path of interleaved signals and the third path of interleaved signals in the interleaved signal set respectively;
and respectively carrying out second probability mapping on the second path of interleaved signals and the fourth path of interleaved signals in the interleaved signal set.
Optionally, the determining module is specifically configured to determine, according to the second constellation diagram, a sub-constellation corresponding to a signal value of each time of the two subsequent mapping signals in the mapping signal set;
and in the determined sub-constellation, determining a position mapping result at each moment according to the signal value at each moment of two sub-signals except the four sub-signals in the six sub-signals.
Optionally, the first constellation includes four signal amplitudes;
the second constellation includes four sub-constellations, each of the sub-constellations including four signal positions.
Optionally, the apparatus further comprises:
the decoding module is used for acquiring a target APPM signal;
demodulating the target APPM signal to obtain an amplitude mapping result and a position mapping result at each moment;
obtaining an amplitude signal set which comprises two paths of amplitude signals and corresponds to an amplitude mapping result at the moment according to the first constellation diagram; according to the second constellation diagram, a position signal set which corresponds to the position mapping result at the moment and contains four paths of position signals is obtained;
respectively carrying out inverse probability mapping on the two paths of amplitude signals in the amplitude signal set and the front two paths of position signals in the position signal set according to the mapping rule to obtain four paths of demodulation sub-signals;
and performing parallel-serial conversion on the obtained four paths of demodulation sub-signals and the two paths of position signals in the position signal set to obtain demodulation signals corresponding to the target APPM signals.
In a third aspect, an embodiment of the present invention further provides an electronic device, where the electronic device includes: the system comprises a processor, a communication interface, a memory and a communication bus, wherein the processor, the communication interface and the memory complete mutual communication through the communication bus;
a memory for storing a computer program;
and the processor is used for realizing the steps of the modulation method based on the two-way multidirectional probability mapping provided by the embodiment of the invention when executing the program stored on the memory.
In a fourth aspect, an embodiment of the present invention further provides a computer-readable storage medium, where a computer program is stored in the computer-readable storage medium, and when the computer program is executed by a processor, the steps of the modulation method based on the two-way multi-way probability mapping provided by the embodiment of the present invention are implemented.
The embodiment of the invention provides a modulation method and device based on two-way multidirectional probability mapping, electronic equipment and a computer readable storage medium. The method comprises the following steps: the method comprises the steps of carrying out serial-to-parallel conversion on a signal to be modulated to generate six paths of parallel sub-signals, respectively carrying out probability mapping on four paths of sub-signals in the six paths of sub-signals according to a preset mapping rule to obtain a mapping signal set containing the four paths of mapping signals, determining an amplitude mapping result corresponding to a signal value at each moment of a first two paths of mapping signals in the mapping signal set according to a first constellation diagram, determining a position mapping result corresponding to a signal value at each moment of a second two paths of mapping signals in the mapping signal set and two paths of sub-signals except the four paths of sub-signals in the six paths of sub-signals according to a second constellation diagram, carrying out APPM modulation according to the amplitude mapping result and the position mapping result at each moment, and obtaining an APPM signal corresponding to the signal to be modulated. Based on a preset mapping rule, the signal to be modulated can be mapped into mapping signals with different probabilities, and then an APPM signal is obtained according to the first constellation diagram and the second constellation diagram, so that a complex constellation diagram does not need to be designed, and the complexity of signal modulation can be reduced. Of course, it is not necessary for any product or method of practicing the invention to achieve all of the above-described advantages at the same time.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
Fig. 1 is a flowchart of a modulation method based on two-way multidirectional probability mapping according to an embodiment of the present invention;
fig. 2 is a block diagram of a system for APPM modulation based on two-way multidirectional probability mapping according to an embodiment of the present invention;
fig. 3 is a schematic diagram of a first constellation diagram according to an embodiment of the present invention;
fig. 4 is a schematic diagram of a second constellation diagram according to an embodiment of the present invention;
fig. 5 is a schematic diagram of a communication system according to an embodiment of the present invention;
fig. 6 is a structural diagram of a modulation apparatus based on two-way multidirectional probability mapping according to an embodiment of the present invention;
fig. 7 is a structural diagram of an electronic device according to an embodiment of the present invention.
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. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The embodiment of the invention discloses a modulation method, a modulation device, electronic equipment and a computer readable storage medium based on two-way multidirectional probability mapping, wherein the method can be applied to a terminal for modulating signals (hereinafter referred to as a terminal). The terminal can map the signal to be modulated into the mapping signal with different probabilities based on a preset mapping rule, and then can obtain an APPM (Pulse Amplitude and Pulse Position Modulation) signal according to the first constellation diagram and the second constellation diagram, without designing a complex constellation diagram, and the complexity of signal Modulation can be reduced.
Referring to fig. 1, fig. 1 is a flowchart of a modulation method based on two-way multidirectional probability mapping according to an embodiment of the present invention, including:
s101: and acquiring a signal to be modulated, and performing serial-parallel conversion on the signal to be modulated to generate six paths of parallel sub-signals.
In one implementation, the signal to be modulated may be a binary bit stream (hereinafter, referred to as a bit stream), and the signal to be modulated acquired by the terminal each time may be a frame bit stream. Serial-to-parallel conversion refers to a process of converting a frame-sequential bit stream into parallel multi-path bit streams representing the same information. The terminal can perform serial-to-parallel conversion on the signal to be modulated to obtain six parallel bit streams (i.e., sub-signals). Wherein the terminal can use the shift register to complete serial-to-parallel conversion.
Specifically, referring to fig. 2, fig. 2 is a block diagram of a system for APPM modulation based on two-way multidirectional probability mapping according to an embodiment of the present invention. It can be seen that a frame of bit stream is converted from serial to parallel to generate six parallel bit streams. The terminal can convert the bit stream of each path into a matrix form, wherein each matrix comprises a plurality of vector units.
Therefore, the size S of one frame of bitstream processed by the terminal at a time can be calculated by equation (1):
S=K*L*4+N*L*2 (1)
the terminal can convert each bit stream in the four paths into a matrix of K × L, where K represents the number of bits contained in each vector unit in the matrix, and L represents the number of vector units in the matrix. The terminal can convert each bit stream in the other two paths into a matrix of N × L, where N represents the number of bits contained in each vector unit in the matrix, and L represents the number of vector units in the matrix, where K is less than L.
S102: and respectively carrying out probability mapping on four paths of sub-signals in the six paths of sub-signals according to a preset mapping rule to obtain a mapping signal set containing the four paths of mapping signals.
In one implementation, the terminal may perform probability mapping on four sub-signals in the six sub-signals according to the same mapping rule, or may perform probability mapping on four sub-signals in the six sub-signals according to different mapping rules. The probability mapping means that the equal-probability sub-signals are mapped into unequal-probability mapping signals according to a preset mapping rule. Specifically, after probability mapping is performed on a bit stream containing 0 and 1 with equal probability, the probabilities of 0 and 1 in the obtained mapping signal are unequal. The terminal may perform probability mapping on the four paths of sub-signals respectively, so that the probability of 0 in each obtained path of mapping signal is greater than the probability of 1. Specifically, how the terminal performs probability mapping on the four paths of sub-signals will be described in detail in the following embodiments.
And the terminal can also carry out interleaving processing on the four paths of sub-signals in the process of carrying out probability mapping on the four paths of sub-signals. Specifically, the step of performing, by the terminal, probability mapping on four sub-signals in the six sub-signals according to a preset mapping rule to obtain a mapping signal set including the four mapping signals may include:
a1: and respectively carrying out first interleaving processing on four paths of sub signals in the six paths of sub signals to obtain an interleaved signal set containing the four paths of interleaved signals.
In one implementation, the terminal may first perform first interleaving on the four bit streams, so as to rearrange the bit values of the four bit streams, and obtain four interleaved bit streams (i.e., four interleaved signals, which correspond to m in fig. 2, respectively)1、m2、m3And m4). The first interleaving process is proposed for the channel with memory, and converts the burst error in the channel into random error by spreading the burst error in time, so as to improve the robustness of coding and reduce the error rate.
In practical application, the first interleaving process has multiple implementation manners, and may be regular interleaving, irregular interleaving, or random interleaving. The embodiment of the present invention does not limit the implementation manner of the specific first interleaving process.
In this embodiment, a terminal performs a first interleaving process on a certain bit stream as an example, and a process of performing the first interleaving process on three other bit streams is similar to that described above. Specifically, the process of the terminal performing the first interleaving on the first channel of bit stream may include: converting the first path of bit stream into a first matrix according to rows, wherein each row element of the first matrix represents a front-back adjacent bit value in the first path of bit stream; reading each element in the first matrix from beginning to end according to columns to obtain a first path of interleaved bit stream (namely a first path of interleaved signal).
Illustratively, the first path bitstream may be 1,2,3,4, 5, 6, 7, 8, 9, 10,11, 12. First, the terminal may convert the first path of bitstream into a first matrix by rows, as shown in table 1, each row element of the first matrix represents a bit value adjacent to each other in the first path of bitstream, and then reads each element in the first matrix from beginning to end by columns to obtain a first path of interleaved bitstream, that is, a first path of interleaved signal. It is possible to obtain: 1,4,7, 10,2,5,8, 11,3,6,9, 12.
TABLE 1
1 2 3
4 5 6
7 8 9
10 11 12
It can be seen that, the embodiment provides a simple and efficient first interleaving processing method, which can fixedly disperse the front and back related bit values in the bit stream of each of the four paths at intervals, and even if a sudden situation is encountered during the transmission of the signal, the errors will be dispersed during the decoding at the receiving end, thereby avoiding the situation of being unable to decode, improving the robustness of the coding, and reducing the error rate.
A2: and respectively carrying out probability mapping on the four paths of interleaved signals in the interleaved signal set according to a preset mapping rule to obtain a probability signal set containing the four paths of probability signals.
In one implementation, the preset mapping rule may be preset by a technician for each path of interleaved signals. The mapping rules of the paths may be the same or different.
Preferably, the terminal may perform first probability mapping on a first channel of interleaved signals and a first channel of interleaved signals in the interleaved signal set, and perform second probability mapping on a second channel of interleaved signals and a fourth channel of interleaved signals in the interleaved signal set, respectively.
In this embodiment, a description will be given by taking an example in which a terminal performs first probability mapping on a first channel of interleaved signals and performs second probability mapping on a second channel of interleaved signals. The method for the terminal to perform the first probability mapping on the third channel of interleaved signals may refer to the method for the terminal to perform the first probability mapping on the first channel of interleaved signals. The method for performing the second probability mapping on the fourth path of interleaved signals by the terminal may refer to a method for performing the first probability mapping on the first path of interleaved signals by the terminal.
Illustratively, the step of the terminal performing the first probability mapping on the first path of interleaved signals is as follows:
the terminal can use mi1、mi2Respectively representing a first bit and a second bit before the first probability mapping in the ith vector unit of the first path of the interleaved signal. Terminal can use ci1、ci2、ci3、ci4Respectively representing the first to fourth bits in the ith vector unit after the first probability mapping. When c is going toi1、ci2、ci3、ci4When there are multiple combinations, for mi1、mi2The terminal may select a combination from the above combinations randomly with equal probability for mapping. Specifically, the mapping rule of the first probability map may be as shown in table 2:
TABLE 2
Figure BDA0001449589810000091
The step of the terminal performing the second probability mapping on the second path of interleaved signals is the same as the step of performing the first probability mapping on the first path of interleaved signals, and the difference is that the mapping rules of the probability mapping are different. Specifically, the mapping rule of the second probability mapping may be as shown in table 3:
TABLE 3
Figure BDA0001449589810000101
It should be noted that the specific mapping rules adopted by the first probability mapping and the second probability mapping are not limited to the above two ways.
It can be seen that, after the terminal performs the first probability mapping on the first path of interleaved signals, the probabilities of 0 and 1 are 73.2% and 26.8%, respectively. And after the terminal performs second probability mapping on the second path of interleaved signals, the probabilities of 0 and 1 are respectively 61.9% and 38.1%. After two paths of mapping signals are combined c1′c2The probability of' is shown in table 4:
TABLE 4
Figure BDA0001449589810000102
As can be seen from FIG. 2, the four mapping signals are c1′、c2′、c3' and c4'. First two paths of mapping signals c1′c2The' probability of 11 occurrence is a minimum of 10.2% and the probability of 00 occurrence is a minimum of 45.3%. Whereas the energy of the signal with signal value 11 is high and the energy of the signal with signal value 00 is low. Therefore, the probability of the signal with lower energy in the mapping signal obtained by the terminal is higher than that of the signal with higher energy, and the average power of the signal can be reduced.
Referring to fig. 2, the terminal may perform probability mapping on four interleaved signals in the interleaved signal set to obtain four probability signals (corresponding to c in fig. 2, respectively)1、c2、c3And c4) Am (a)A set of rate signals.
A3: and respectively carrying out second interleaving processing on the four paths of probability signals in the probability signal set to obtain a mapping signal set containing four paths of mapping signals.
In one implementation, the implementation of the second interleaving process may be the same as the implementation of the first interleaving process, or may be different from the implementation of the first interleaving process. Specifically, the method for the terminal to perform the second interleaving processing on the four paths of probability signals in the probability signal set may refer to the step a1, which is not described herein again.
In fig. 2, the terminal may perform a second interleaving process on four probability signals in the probability signal set to obtain a mapping signal including four paths (which respectively correspond to c in fig. 2)1′、c2′、c3' and c4') set of mapped signals.
As can be seen from the above description, in the embodiment of the present invention, the terminal may design different mapping rules according to the APPM signal to be finally generated. Each path can adopt a customized mapping rule, and mapping signals of each path can be distributed according to expected probability, so that transmission channels can be better matched, and the signal transmission performance is improved.
S103: determining an amplitude mapping result corresponding to a signal value of each moment of the first two paths of mapping signals in the mapping signal set according to the first constellation diagram; and determining a position mapping result corresponding to the signal value of each moment of the two paths of sub-signals except the four paths of sub-signals in the last two paths of mapping signals and the six paths of sub-signals in the mapping signal set according to the second constellation diagram.
In one implementation, the terminal may determine, according to the first constellation diagram, an amplitude mapping result (amplitude mapping in fig. 2) corresponding to a signal value at each time of the first two paths of mapping signals in the mapping signal set. The terminal may determine, according to the second constellation diagram, a position mapping result (position mapping in fig. 2) corresponding to a signal value at each time of the last two paths of mapping signals in the mapping signal set and two paths of sub-signals (hereinafter, may be referred to as a fifth path of sub-signals and a sixth path of sub-signals, respectively) other than the four paths of sub-signals in the six paths of sub-signals. The first constellation diagram records the mapping relation between the signal value and the amplitude of the mapping signal, and the second constellation diagram records the mapping relation between the signal value and the position of the mapping signal.
Specifically, referring to fig. 3, fig. 3 is a schematic diagram of a first constellation diagram according to an embodiment of the present invention.
The mapping relationship between the signal value and the amplitude of the mapping signal in the first constellation diagram can be expressed by formula (2):
Figure BDA0001449589810000121
where Amp represents the amplitude mapped into the first constellation,1' denotes a first mapping signal at a certain time, c2' denotes the second mapping signal at that time. It can be seen that the first constellation contains the amplitudes of 4 signals, c, of 1,2,3,41′c2' there are 4 values in total, 00,01,10, 11. c. C1′c2' when the value is 00, the corresponding amplitude is 1, c1′c2' when the value is 01, the corresponding amplitude is 2, c1′c2' when the value is 10, the corresponding amplitude is 3, c1′c2A value of 11 corresponds to a magnitude of 4.
The terminal may map the first two paths of mapping signals in the mapping signal set at each time to one of the 4 amplitudes in the first constellation according to the mapping relationship between the signal value and the amplitude of the mapping signal in the first constellation, so as to obtain the amplitude mapping result at the time.
Fig. 4 is a schematic diagram of a second constellation diagram according to an embodiment of the present invention.
In one implementation, the second constellation may include 4 sub-constellations, including 4 signal positions within each sub-constellation. As shown in fig. 4, 4 positions in each column in fig. 4 may be a sub-constellation, or 4 positions in each row may be a sub-constellation, or a sub-constellation may be divided according to other allocation manners. The terminal may obtain, according to the second constellation diagram, a sub-constellation corresponding to a signal value at each time of the last two paths of mapping signals in the set of mapping signals, and in the obtained sub-constellation, a position mapping result at each time is obtained according to a signal value at each time of the fifth path of sub-signals and the sixth path of sub-signals.
Preferably, the correspondence between the last two mapping signals in the mapping signal set in the second constellation and the sub-constellation can be represented by formula (3):
Figure BDA0001449589810000122
wherein, the terminal may divide 4 positions of each column into one sub-constellation. Pos denotes the position mapped into the second constellation, c3' denotes a third mapping signal at a certain time, c4' denotes the fourth mapping signal at this time. c. C3′c4When' 00, it corresponds to a first sub-constellation, where the first sub-constellation includes 4 positions of 0,1, 2, and 3; c. C3′c4When' 01, it corresponds to a second sub-constellation, where the second sub-constellation includes 4, 5, 6, and 7 positions; c. C3′c4When' is 10, it corresponds to a third sub-constellation, where the third sub-constellation includes 4 positions 8, 9, 10, and 11; c. C3′c4When' is 11, it corresponds to the fourth sub-constellation, where the fourth sub-constellation includes 4 positions 12, 12, 14, and 15. Specifically, after the terminal determines the sub-constellation, it can be determined according to c5′c6' one position is determined among 4 positions of each sub-constellation as a result of position mapping. Wherein, c5' represents the fifth sub-signal at that moment, c6' denotes the sixth sub-signal at this time.
The terminal does not perform probability mapping on the fifth path of sub-signal and the sixth path of sub-signal, so that both the fifth path of sub-signal and the sixth path of sub-signal can be bit streams with equal probability. The terminal can be according to the preset distribution mode, according to c5′c6', one position is determined among 4 positions of each sub-constellation. Specifically, the case of determining one position in the first sub-constellation is taken as an example, and the case of determining one position in the other three sub-constellations is taken as an exampleThe same applies. The terminal may determine a position in the first sub-constellation according to equation (4):
Figure BDA0001449589810000131
where Pos1 represents a position in the first sub-constellation. It should be noted that, the embodiment of the present invention is described by taking the formula (4) as an example, and in practical application, the terminal is not limited to determine one position in the sub-constellation by using the above formula.
It can be seen from the above that, according to the method provided by the embodiment of the present invention, a complex constellation diagram with unequal intervals does not need to be designed, and the terminal can directly obtain the APPM signal according to the first constellation diagram and the second constellation diagram, thereby reducing the complexity of signal modulation.
S104: and modulating the APPM according to the amplitude mapping result and the position mapping result at each moment to obtain an APPM signal corresponding to the signal to be modulated.
In one implementation, the terminal may perform APPM (4 × 16APPM modulation in fig. 2) modulation according to the amplitude mapping result and the position mapping result at each time to obtain an APPM signal corresponding to the signal to be modulated. For the amplitude mapping result and the position mapping result at each time, the terminal can generate an APPM signal containing 16 positions. The terminal can determine one position with amplitude information in the 16 positions of the APPM signal according to the position mapping result at the moment, and the amplitude of the position is the amplitude mapping result at the moment.
For example, the terminal may determine that the amplitude mapping result of the signal to be modulated at a certain time is 3 and the position mapping result is 10. At this time, the terminal may generate an APPM signal of amplitude 3 at the 11 th position.
In the embodiment of the invention, the invention also provides a decoding method of the APPM signal. Specifically, the processing steps include:
and acquiring a target APPM signal, demodulating the target APPM signal, and acquiring an amplitude mapping result and a position mapping result at each moment. According to the first constellation diagram, obtaining an amplitude signal set which comprises two paths of amplitude signals and corresponds to the amplitude mapping result at the moment; and obtaining a position signal set containing four paths of position signals corresponding to the position mapping result at the moment according to the second constellation diagram. And respectively carrying out inverse probability mapping on the two paths of amplitude signals in the amplitude signal set and the front two paths of position signals in the position signal set according to a mapping rule to obtain four paths of demodulation signals. And performing parallel-serial conversion on the obtained four paths of demodulation signals and the two paths of position signals in the position signal set to obtain demodulation signals corresponding to the target APPM signals.
In one implementation, the terminal may demodulate the obtained APPM signal to obtain amplitude information and position information corresponding to the APPM signal at each time. Since the amplitude of the received APPM signal is an analog value, and the received signal is usually interfered, the terminal may obtain the position information according to the position with the maximum amplitude among 16 positions in the APPM signal at the time, and then obtain the amplitude information of the position according to the formula (5), thereby completing the confirmation of the APPM amplitude information and the position information.
Figure BDA0001449589810000141
Where amp1 represents the largest of the 16 positions in the APPM signal received by the terminal. According to different ranges of values of Amp1, the terminal can determine that the APPM signal corresponds to an Amp in the first constellation diagram, and further can determine the first two bit streams representing amplitude information based on the mapping relation of formula (2) according to the determined Amp.
Then, the terminal may determine the third and fourth bit streams according to the formula (3) and the position of amp1, and further may determine the fifth and sixth bit streams according to the preset allocation manner used in the step of determining a position in the sub-constellation. The terminal can sort the determined six parallel bit streams into one path according to the sequence from the first path to the sixth path, perform parallel-serial conversion, and output one path of serial bit stream data, so as to complete decoding.
Fig. 5 is a schematic diagram of a communication system according to an embodiment of the present invention. The embodiment of the invention can be applied to a transmitting terminal in a communication system, the transmitting terminal firstly carries out serial-parallel conversion on one path of binary bit stream to obtain six paths of parallel bit streams, then carries out probability shaping coding processing and 4 × 16APPM modulation on the six paths of parallel bit streams to obtain APPM signals, and further sends the APPM signals to a receiving terminal through an optical fiber link. Wherein the optical attenuator is used to change the optical power.
At a receiving end in a communication system, firstly, a preamplifier is used for adjusting optical power, an effective bandwidth is filtered from a frequency spectrum widened by noise by using an optical band-pass filter, then, noise outside a baseband in the effective bandwidth is filtered by using a low-pass filter, a detected data signal is sent to a decoding circuit for decoding, wherein the decoding process is the reverse process of the encoding process and mainly comprises a probability shaping decoding unit and a 4 × 16APPM (amplitude phase modulation) demodulation unit, and finally, the decoded data signal is subjected to parallel-serial conversion to obtain a binary bit stream.
Fig. 6 is a structural diagram of a modulation apparatus based on two-way multi-directional probability mapping according to an embodiment of the present invention, including:
the conversion module 601 is configured to acquire a signal to be modulated, and perform serial-to-parallel conversion on the signal to be modulated to generate six parallel sub-signals;
a mapping module 602, configured to perform probability mapping on four sub signals in the six sub signals according to a preset mapping rule, to obtain a mapping signal set including four mapping signals;
a determining module 603, configured to determine, according to a first constellation diagram, an amplitude mapping result corresponding to a signal value of each time of two previous mapping signals in the mapping signal set, where the first constellation diagram records a mapping relationship between a signal value and an amplitude of a mapping signal; determining a position mapping result corresponding to a signal value of each moment of the last two paths of mapping signals in the mapping signal set and the two paths of sub signals except the four paths of sub signals in the six paths of sub signals according to a second constellation diagram, wherein the second constellation diagram records a mapping relation between the signal value and the position of the mapping signals;
the modulation module 604 is configured to perform pulse amplitude and position modulation on the APPM according to the amplitude mapping result and the position mapping result at each time to obtain an APPM signal corresponding to the signal to be modulated.
In this embodiment of the present invention, the mapping module 602 includes:
the first interleaving submodule is used for respectively performing first interleaving processing on four paths of sub signals in the six paths of sub signals to obtain an interleaved signal set containing the four paths of interleaved signals;
the mapping submodule is used for respectively carrying out probability mapping on four paths of interleaved signals in the interleaved signal set according to a preset mapping rule to obtain a probability signal set containing four paths of probability signals;
and the second interleaving submodule is used for respectively carrying out second interleaving processing on the four paths of probability signals in the probability signal set to obtain a mapping signal set containing four paths of mapping signals.
In this embodiment of the present invention, the mapping sub-module is specifically configured to perform first probability mapping on a first path of interleaved signals and a third path of interleaved signals in the interleaved signal set, respectively;
and respectively carrying out second probability mapping on the second path of interleaved signals and the fourth path of interleaved signals in the interleaved signal set.
In this embodiment of the present invention, the determining module 603 is specifically configured to determine, according to the second constellation diagram, a sub-constellation corresponding to a signal value at each time of the two subsequent mapping signals in the mapping signal set;
and in the determined sub-constellation, determining a position mapping result at each moment according to the signal value at each moment of two sub-signals except the four sub-signals in the six sub-signals.
In the embodiment of the present invention, the first constellation includes four signal amplitudes;
the second constellation includes four sub-constellations, each of the sub-constellations including four signal positions.
In an embodiment of the present invention, the apparatus further includes:
the decoding module is used for acquiring a target APPM signal;
demodulating the target APPM signal to obtain an amplitude mapping result and a position mapping result at each moment;
obtaining an amplitude signal set which comprises two paths of amplitude signals and corresponds to an amplitude mapping result at the moment according to the first constellation diagram; according to the second constellation diagram, a position signal set which corresponds to the position mapping result at the moment and contains four paths of position signals is obtained;
respectively carrying out inverse probability mapping on the two paths of amplitude signals in the amplitude signal set and the front two paths of position signals in the position signal set according to the mapping rule to obtain four paths of demodulation sub-signals;
and performing parallel-serial conversion on the obtained four paths of demodulation sub-signals and the two paths of position signals in the position signal set to obtain demodulation signals corresponding to the target APPM signals.
An embodiment of the present invention further provides an electronic device, as shown in fig. 7, including a processor 701, a communication interface 702, a memory 703 and a communication bus 704, where the processor 701, the communication interface 702, and the memory 703 complete mutual communication through the communication bus 704,
a memory 703 for storing a computer program;
the processor 701 is configured to implement the following steps when executing the program stored in the memory 703:
acquiring a signal to be modulated, and performing serial-parallel conversion on the signal to be modulated to generate six paths of parallel sub-signals;
respectively carrying out probability mapping on four paths of sub signals in the six paths of sub signals according to a preset mapping rule to obtain a mapping signal set containing the four paths of mapping signals;
determining an amplitude mapping result corresponding to a signal value of each moment of the first two paths of mapping signals in the mapping signal set according to a first constellation diagram, wherein the first constellation diagram records a mapping relation between the signal value and the amplitude of the mapping signals; determining a position mapping result corresponding to a signal value of each moment of the last two paths of mapping signals in the mapping signal set and the two paths of sub signals except the four paths of sub signals in the six paths of sub signals according to a second constellation diagram, wherein the second constellation diagram records a mapping relation between the signal value and the position of the mapping signals;
and modulating the APPM according to the amplitude mapping result and the position mapping result at each moment to obtain an APPM signal corresponding to the signal to be modulated.
The communication bus 704 mentioned in the above electronic device may be a Peripheral Component Interconnect (PCI) bus, an Extended Industry Standard Architecture (EISA) bus, or the like. The communication bus 704 may be divided into an address bus, a data bus, a control bus, etc. For ease of illustration, only one thick line is shown, but this does not mean that there is only one bus or one type of bus.
The communication interface 702 is used for communication between the above-described electronic apparatus and other apparatuses.
The Memory 703 may include a Random Access Memory (RAM) or a Non-Volatile Memory (NVM), such as at least one disk Memory. Optionally, the memory 703 may also be at least one memory device located remotely from the aforementioned processor.
The Processor 701 may be a general-purpose Processor, including a Central Processing Unit (CPU), a Network Processor (NP), and the like; but also Digital Signal Processors (DSPs), Application Specific Integrated Circuits (ASICs), Field Programmable Gate Arrays (FPGAs) or other Programmable logic devices, discrete Gate or transistor logic devices, discrete hardware components.
The electronic device provided by the embodiment of the invention can map the signal to be modulated into the mapping signals with different probabilities based on the preset mapping rule, and further obtain the APPM signal according to the first constellation diagram and the second constellation diagram, and can reduce the complexity of signal modulation without designing a complex constellation diagram.
The embodiment of the present invention further provides a computer-readable storage medium, where instructions are stored in the computer-readable storage medium, and when the instructions are run on a computer, the computer is enabled to execute the modulation method based on the two-way multi-way probability mapping provided by the embodiment of the present invention.
Specifically, the modulation method based on the two-way multidirectional probability mapping includes:
acquiring a signal to be modulated, and performing serial-parallel conversion on the signal to be modulated to generate six paths of parallel sub-signals;
respectively carrying out probability mapping on four paths of sub signals in the six paths of sub signals according to a preset mapping rule to obtain a mapping signal set containing the four paths of mapping signals;
determining an amplitude mapping result corresponding to a signal value of each moment of the first two paths of mapping signals in the mapping signal set according to a first constellation diagram, wherein the first constellation diagram records a mapping relation between the signal value and the amplitude of the mapping signals; determining a position mapping result corresponding to a signal value of each moment of the last two paths of mapping signals in the mapping signal set and the two paths of sub signals except the four paths of sub signals in the six paths of sub signals according to a second constellation diagram, wherein the second constellation diagram records a mapping relation between the signal value and the position of the mapping signals;
and modulating the APPM according to the amplitude mapping result and the position mapping result at each moment to obtain an APPM signal corresponding to the signal to be modulated.
It should be noted that other implementation manners of the modulation method based on the two-way multidirectional probability mapping are partially the same as those of the foregoing method embodiments, and are not described herein again.
By operating the instructions stored in the computer-readable storage medium provided by the embodiment of the invention, the signal to be modulated can be mapped into the mapping signals with different probabilities based on the preset mapping rule, and the APPM signal can be obtained according to the first constellation diagram and the second constellation diagram, so that the complex constellation diagram does not need to be designed, and the complexity of signal modulation can be reduced.
Embodiments of the present invention further provide a computer program product containing instructions, which when run on a computer, enable the computer to execute the modulation method based on the two-way multidirectional probability mapping provided by the embodiments of the present invention.
Specifically, the modulation method based on the two-way multidirectional probability mapping includes:
acquiring a signal to be modulated, and performing serial-parallel conversion on the signal to be modulated to generate six paths of parallel sub-signals;
respectively carrying out probability mapping on four paths of sub signals in the six paths of sub signals according to a preset mapping rule to obtain a mapping signal set containing the four paths of mapping signals;
determining an amplitude mapping result corresponding to a signal value of each moment of the first two paths of mapping signals in the mapping signal set according to a first constellation diagram, wherein the first constellation diagram records a mapping relation between the signal value and the amplitude of the mapping signals; determining a position mapping result corresponding to a signal value of each moment of the last two paths of mapping signals in the mapping signal set and the two paths of sub signals except the four paths of sub signals in the six paths of sub signals according to a second constellation diagram, wherein the second constellation diagram records a mapping relation between the signal value and the position of the mapping signals;
and modulating the APPM according to the amplitude mapping result and the position mapping result at each moment to obtain an APPM signal corresponding to the signal to be modulated.
It should be noted that other implementation manners of the modulation method based on the two-way multidirectional probability mapping are partially the same as those of the foregoing method embodiments, and are not described herein again.
By operating the computer program product provided by the embodiment of the invention, the signal to be modulated can be mapped into the mapping signals with different probabilities based on the preset mapping rule, and the APPM signal can be obtained according to the first constellation diagram and the second constellation diagram, so that the complex constellation diagram does not need to be designed, and the complexity of signal modulation can be reduced.
In the above embodiments, the implementation may be wholly or partially realized by software, hardware, firmware, or any combination thereof. When implemented in software, may be implemented in whole or in part in the form of a computer program product. The computer program product includes one or more computer instructions. When loaded and executed on a computer, cause the processes or functions described in accordance with the embodiments of the invention to occur, in whole or in part. The computer may be a general purpose computer, a special purpose computer, a network of computers, or other programmable device. The computer instructions may be stored in a computer readable storage medium or transmitted from one computer readable storage medium to another, for example, from one website site, computer, server, or data center to another website site, computer, server, or data center via wired (e.g., coaxial cable, fiber optic, Digital Subscriber Line (DSL)) or wireless (e.g., infrared, wireless, microwave, etc.). The computer-readable storage medium can be any available medium that can be accessed by a computer or a data storage device, such as a server, a data center, etc., that incorporates one or more of the available media. The usable medium may be a magnetic medium (e.g., floppy Disk, hard Disk, magnetic tape), an optical medium (e.g., DVD), or a semiconductor medium (e.g., Solid State Disk (SSD)), among others.
It is noted that, herein, relational terms such as first and second, and the like may be used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Also, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising an … …" does not exclude the presence of other identical elements in a process, method, article, or apparatus that comprises the element.
All the embodiments in the present specification are described in a related manner, and the same and similar parts among the embodiments may be referred to each other, and each embodiment focuses on the differences from the other embodiments. In particular, for the apparatus, the electronic device, the computer-readable storage medium, and the computer program product embodiments, since they are substantially similar to the method embodiments, the description is relatively simple, and for the relevant points, reference may be made to the partial description of the method embodiments.
The above description is only for the preferred embodiment of the present invention, and is not intended to limit the scope of the present invention. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention shall fall within the protection scope of the present invention.

Claims (10)

1. A modulation method based on two-way multidirectional probability mapping is characterized by comprising the following steps:
acquiring a signal to be modulated, and performing serial-parallel conversion on the signal to be modulated to generate six paths of parallel sub-signals;
respectively carrying out probability mapping on four paths of sub signals in the six paths of sub signals according to a preset mapping rule to obtain a mapping signal set containing the four paths of mapping signals;
determining an amplitude mapping result corresponding to a signal value of each moment of the first two paths of mapping signals in the mapping signal set according to a first constellation diagram, wherein the first constellation diagram records a mapping relation between the signal value and the amplitude of the mapping signals; determining a position mapping result corresponding to a signal value of each moment of the last two paths of mapping signals in the mapping signal set and the two paths of sub signals except the four paths of sub signals in the six paths of sub signals according to a second constellation diagram, wherein the second constellation diagram records a mapping relation between the signal value and the position of the mapping signals;
and modulating the APPM according to the amplitude mapping result and the position mapping result at each moment to obtain an APPM signal corresponding to the signal to be modulated.
2. The method according to claim 1, wherein the performing probability mapping on four sub-signals in the six sub-signals according to a preset mapping rule to obtain a mapping signal set including four mapping signals comprises:
respectively carrying out first interleaving processing on four paths of sub signals in the six paths of sub signals to obtain an interleaved signal set containing four paths of interleaved signals;
respectively carrying out probability mapping on four paths of interleaved signals in the interleaved signal set according to a preset mapping rule to obtain a probability signal set containing four paths of probability signals;
and respectively carrying out second interleaving processing on the four paths of probability signals in the probability signal set to obtain a mapping signal set containing four paths of mapping signals.
3. The method according to claim 2, wherein the probability mapping of the four interleaved signals in the interleaved signal set according to a preset mapping rule comprises:
respectively carrying out first probability mapping on a first path of interleaved signals and a third path of interleaved signals in the interleaved signal set;
and respectively carrying out second probability mapping on the second path of interleaved signals and the fourth path of interleaved signals in the interleaved signal set.
4. The method according to claim 1, wherein the determining, according to the second constellation diagram, the position mapping result corresponding to the signal value at each time of the last two paths of mapping signals in the mapping signal set and the two paths of sub-signals, except for the four paths of sub-signals, in the six paths of sub-signals comprises:
determining a sub-constellation corresponding to the signal value of each moment of the two paths of mapping signals in the mapping signal set according to the second constellation;
and in the determined sub-constellation, determining a position mapping result at each moment according to the signal value at each moment of two sub-signals except the four sub-signals in the six sub-signals.
5. The method of claim 4, wherein the first constellation comprises four signal amplitudes;
the second constellation includes four sub-constellations, each of the sub-constellations including four signal positions.
6. The method of claim 1, further comprising:
acquiring a target APPM signal;
demodulating the target APPM signal to obtain an amplitude mapping result and a position mapping result at each moment;
obtaining an amplitude signal set which comprises two paths of amplitude signals and corresponds to an amplitude mapping result at the moment according to the first constellation diagram; according to the second constellation diagram, a position signal set which corresponds to the position mapping result at the moment and contains four paths of position signals is obtained;
respectively carrying out inverse probability mapping on the two paths of amplitude signals in the amplitude signal set and the front two paths of position signals in the position signal set according to the mapping rule to obtain four paths of demodulation sub-signals;
and performing parallel-serial conversion on the obtained four paths of demodulation sub-signals and the two paths of position signals in the position signal set to obtain demodulation signals corresponding to the target APPM signals.
7. A modulation apparatus based on two-way multidirectional probability mapping, the apparatus comprising:
the conversion module is used for acquiring a signal to be modulated and carrying out serial-parallel conversion on the signal to be modulated to generate six paths of parallel sub-signals;
the mapping module is used for respectively carrying out probability mapping on four paths of sub signals in the six paths of sub signals according to a preset mapping rule to obtain a mapping signal set containing the four paths of mapping signals;
the determining module is configured to determine, according to a first constellation diagram, an amplitude mapping result corresponding to a signal value of each time of two previous mapping signals in the mapping signal set, where the first constellation diagram records a mapping relationship between the signal value and the amplitude of the mapping signal; determining a position mapping result corresponding to a signal value of each moment of the last two paths of mapping signals in the mapping signal set and the two paths of sub signals except the four paths of sub signals in the six paths of sub signals according to a second constellation diagram, wherein the second constellation diagram records a mapping relation between the signal value and the position of the mapping signals;
and the modulation module is used for modulating the APPM according to the amplitude mapping result and the position mapping result at each moment to obtain an APPM signal corresponding to the signal to be modulated.
8. The apparatus of claim 7, wherein the mapping module comprises:
the first interleaving submodule is used for respectively performing first interleaving processing on four paths of sub signals in the six paths of sub signals to obtain an interleaved signal set containing the four paths of interleaved signals;
the mapping submodule is used for respectively carrying out probability mapping on four paths of interleaved signals in the interleaved signal set according to a preset mapping rule to obtain a probability signal set containing four paths of probability signals;
and the second interleaving submodule is used for respectively carrying out second interleaving processing on the four paths of probability signals in the probability signal set to obtain a mapping signal set containing four paths of mapping signals.
9. An electronic device, comprising a processor, a communication interface, a memory and a communication bus, wherein the processor, the communication interface and the memory communicate with each other via the communication bus;
the memory is used for storing a computer program;
the processor, when executing the program stored in the memory, implementing the method steps of any of claims 1-6.
10. A computer-readable storage medium, characterized in that a computer program is stored in the computer-readable storage medium, which computer program, when being executed by a processor, carries out the method steps of any one of claims 1 to 6.
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