CN116599626A - Information transmission method, device and medium for realizing high-order probability shaping modulation - Google Patents
Information transmission method, device and medium for realizing high-order probability shaping modulation Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0041—Arrangements at the transmitter end
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0045—Arrangements at the receiver end
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0056—Systems characterized by the type of code used
- H04L1/0057—Block codes
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0056—Systems characterized by the type of code used
- H04L1/0061—Error detection codes
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- Y—GENERAL 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
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02D—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
- Y02D30/00—Reducing energy consumption in communication networks
- Y02D30/70—Reducing energy consumption in communication networks in wireless communication networks
Abstract
The invention provides an information transmitting method, a receiving method, a device and a storage medium for realizing high-order probability shaping modulation, wherein the information transmitting method comprises the following steps: inputting the received information source sequence to an encoder for encoding, and outputting an encoded code word sequence; carrying out bit selection on the codeword sequence output by the forward error correction code encoder by utilizing an external binary flag bit sequence through bit classification distribution matching operation to obtain a changed codeword sequence; mapping the changed codeword sequence onto a corresponding constellation point, wherein every continuous m bits are mapped onto one constellation point to obtain a modulation sequence; the modulation sequence is transmitted over an additive white gaussian noise channel. By using the technical scheme, under the condition of not changing the complexity of the code modulation system, the shaping gain is generated by changing the probability distribution of the input symbols of the channel, thereby realizing the high-order probability shaping modulation, reducing the error rate and improving the system performance.
Description
Technical Field
The present invention relates to the field of communications technologies, and in particular, to an information sending method, an information receiving device, and a storage medium for implementing high-order probability shaping modulation.
Background
In the global informatization context, in order to meet the transmission requirements of users for low latency and high reliability, it is essential to combine channel coding with high order modulation in a communication system. For the conventional code modulation system, most channels adopt uniformly distributed constellations to realize the mapping of input symbols, which can maximize the source entropy, but in the actual communication system, the constellations with medium probability distribution can cause mutual information loss, thus reducing the system performance.
Disclosure of Invention
The embodiment of the invention provides an information sending method, an information receiving device and a storage medium for realizing high-order probability shaping modulation, which are used for generating shaping gain by changing probability distribution of channel input symbols under the condition of not changing complexity of a coding modulation system, thereby reducing error rate and improving system performance.
To achieve the above object, in one aspect, there is provided a method for transmitting information on a communication channel, including:
s1, inputting a received information source sequence into a forward error correction code encoder for encoding, and outputting an encoded code word sequence;
s2, carrying out bit selection on a codeword sequence output by a forward error correction code encoder by using an external binary flag bit sequence with the length of L through bit classification distribution matching operation to obtain a changed codeword sequence; wherein, flag [ i ]]Representing the bit at the ith position in the external binary bit sequence, wherein i is more than or equal to 0<L, for 2 m PAM mapping, m is a positive integer greater than 4; wherein the codeword sequence changed by the bit classification distribution matching operation includes:
s21, identifying a flag bit, and judging whether i < L is true or not; if so, b is obtained by bit picking 0 To b m-1 M bits of (2); otherwise, sequentially taking m bits from the codeword sequence output from the forward error correction code encoder for combination;
wherein, when i is less than L, b is obtained by bit selection 0 To b m-1 The step of m bits of (a) includes:
when flag [ i ]]When=1, let b m-3 =flag[i]=1, the remaining m-1 bitsThe valid bits of the number points are sequentially taken out from the codeword sequence output by the forward error correction code encoder;
when flag [ i ]]When=0, let b m-3 =0 and b m-2 The significant bits of the remaining m-2 bit signal points are sequentially extracted from the codeword sequence output from the forward error correction code encoder;
when the flag [ i ] is empty, m bits are sequentially taken out from the codeword sequence output by the forward error correction code encoder;
s22, combining all bit sequences obtained in the step S21 to obtain a changed codeword sequence;
s3, mapping the changed codeword sequence to a corresponding constellation point, wherein each continuous m bits are mapped to one constellation point to obtain a modulation sequence;
and S4, transmitting the modulation sequence through an additive Gaussian white noise channel.
Preferably, the method, wherein the external binary flag bit sequence bits are pseudo-random binary flag bit sequences generated by a pseudo-random number generator.
Preferably, the method, wherein the received source sequence is a binary random sequence of bernoulli distribution.
Preferably, the method, wherein the forward error correction coding is Polar code coding and the forward error correction coder is a non-systematic Polar coder.
Preferably, in the method, m=5, in step S3, a gray mapping-based 32-PAM modulation method is adopted to map five consecutive bits in the changed codeword sequence onto corresponding 32 constellation points, so as to realize the desired distribution of the channel input symbols.
In another aspect, there is provided an information receiving method for receiving, at a receiving end, information transmitted using any one of the above information transmitting methods for implementing higher order probability shaping modulation, including:
s5, demodulating the symbol LLR sequence received from the additive Gaussian white noise channel into a bit LLR sequence;
s6, aiming at the bit LLR sequence obtained by demodulation, performing inverse operation of bit classification distribution matching operation on the bit LLR sequence by using an external binary flag bit sequence, deleting redundant bits inserted in the step S2, and generating a new bit LLR sequence;
s7, inputting the new bit LLR sequence generated in the step S6 into an SC decoder for decoding to obtain an information source estimation sequence.
In yet another aspect, an information transmitting apparatus is provided, comprising a memory storing at least one program, and a processor, the at least one program being executable by the processor to implement a method of transmitting information over a communication channel as described in any of the above.
In yet another aspect, an information receiving apparatus is provided, comprising a memory storing at least one program, and a processor, the at least one program being executable by the processor to implement a method of receiving information over a communication channel as described in any of the above.
In yet another aspect, a communication system is provided, comprising: the information transmitting apparatus as described above; and the information receiving apparatus described above.
In yet another aspect, a computer readable storage medium having stored therein at least one program that is executed by a processor to implement a method as described in any of the above.
The technical scheme has the following technical effects:
according to the technical scheme, under the condition that the complexity of a coding modulation system is not changed, forward error correction coding modulation is carried out based on the determined bit classification distribution matching BCDM operation, bit selection rules are set for constellation symbols under Gray mapping, bit selection and redundant bit insertion are carried out by using an external mark sequence, a channel input symbol sequence with ideal Gaussian distribution can be obtained, shaping gain of the coding modulation system is obtained by changing symbol probability, high-order probability shaping modulation is realized, lower bit error rate is obtained, and system performance is improved; further, the technical scheme of the embodiment of the invention is suitable for probability molding under any high-order modulation, has universality, and the redundancy quantity introduced by the operation of BCDM cannot be increased along with the increase of the order.
Drawings
FIG. 1 is a block diagram of a polarization-coded modulation system based on BCDM operation in accordance with one embodiment of the present invention;
fig. 2 is a schematic diagram of a 32-PAM constellation mapping based on BCDM operation employed in an embodiment of the present invention;
FIGS. 3a and 3b are probability distribution diagrams of channel input symbols at different pseudo-random number sequence lengths in an embodiment of the present invention;
fig. 4 is a comparison diagram of simulation results, which compares simulation performance of the communication method according to the embodiment of the present invention with that of the conventional communication method of uniformly distributed symbol sequences.
Detailed Description
For further illustration of the various embodiments, the invention is provided with the accompanying drawings. The accompanying drawings, which are incorporated in and constitute a part of this disclosure, illustrate embodiments and together with the description, serve to explain the principles of the embodiments. With reference to these matters, one of ordinary skill in the art will understand other possible embodiments and advantages of the present invention. The components in the figures are not drawn to scale and like reference numerals are generally used to designate like components.
The invention will now be further described with reference to the drawings and detailed description.
Embodiment one:
the information sending and receiving method of an embodiment of the invention changes the probability distribution of the input symbols of the channel under the condition of not changing the complexity of the code modulation system, and realizes the high-order probability shaping modulation, wherein the method of the embodiment concretely comprises the following steps:
s1, inputting a received information source sequence into a forward error correction code encoder for encoding, and outputting an encoded code word sequence;
s2, carrying out bit selection on the codeword sequence output by the forward error correction code encoder by using an external binary flag bit sequence with the length of L through bit classification distribution matching (BCDM, bit Classification Distribution Matching) operation, thereby obtaining a modified codeword sequenceIs a sequence of codewords of (1); wherein, flag [ i ]]Representing the bit at the ith position in the external binary bit sequence, wherein i is more than or equal to 0<L, for 2 m PAM mapping, m is a positive integer greater than 4; wherein obtaining the changed codeword sequence through the bit classification distribution matching operation includes:
s21, identifying a flag bit, and judging whether i < L is true or not; if so, b is obtained by bit picking 0 To b m-1 M bits of (2); otherwise, sequentially taking m bits from the codeword sequence output from the forward error correction code encoder for combination;
wherein, when i is less than L, b is obtained by bit selection 0 To b m-1 The step of m bits of (a) includes:
when flag [ i ]]When=1, let b m-3 =flag[i]The significant bits of the remaining m-1 bit signal points are sequentially extracted from the codeword sequence output from the forward error correction code encoder;
when flag [ i ]]When=0, let b m-3 =0 and b m-2 The significant bits of the remaining m-2 bit signal points are sequentially extracted from the codeword sequence output from the forward error correction code encoder;
when the flag [ i ] is empty, m bits are sequentially taken out from the codeword sequence output by the forward error correction code encoder;
s22, combining all bit sequences obtained in the step S21 to obtain a changed codeword sequence;
s3, mapping the changed codeword sequence to a corresponding constellation point, wherein every continuous m bits are mapped to one constellation point, and a modulation sequence is obtained;
s4, transmitting the modulation sequence through an additive white Gaussian noise channel (AWGN);
s5, demodulating the symbol LLR sequence received from the additive Gaussian white noise channel into a bit LLR sequence;
s6, aiming at the bit LLR sequence obtained by demodulation, carrying out the inverse operation of the bit classification distribution matching operation on the bit LLR sequence by utilizing the external binary flag bit sequence, deleting the redundant bit inserted in the step S2, and generating a new bit LLR sequence;
s7, inputting the new bit LLR sequence generated in the step S6 into an SC decoder for decoding to obtain an information source estimation sequence.
Preferably, the external binary flag bit sequence bits are pseudo-random binary flag bit sequences generated by a pseudo-random number generator. Preferably, the forward error correction code is Polar code and the forward error correction code encoder is a non-systematic Polar encoder. Preferably, the received source sequence is a Bernoulli distributed binary random sequence, such as a Bernoulli binary source sequence with a probability of success of 0.5. This embodiment of the invention gives a high modulation order 2 based on BCDM operation m Generalized bit selection rules of PAM, m being greater than 4. Since two-dimensional QAM signals can be obtained in quadrature by using two one-dimensional PAM signals in an AWGN channel, that is, two paths of independent 32-PAM (pulse amplitude modulation) can be obtained in quadrature to obtain 1024-QAM, two paths of independent 64-PAM can form 4096-QAM signals, and so on, this embodiment of the present invention is described with respect to one-dimensional PAM signal high-order modulation.
It can be seen from this embodiment that the amount of redundancy introduced by the operation of BCDM under high order modulation does not increase with an increase in m, and meets all 2 m -bit picking rules under PAM mapping, where m > 4. Since two-dimensional QAM can be obtained by two one-dimensional PAM through quadrature, 2 m The pick rule under PAM mapping can be extended to 2 2m -a pick rule under QAM.
Embodiment two:
polar codes are the first theoretically provable capacity-implemented error correction codes suitable for any binary input discrete memoryless channel, with low coding complexity, and were determined by the international mobile telecommunication standardization organization as the coding scheme of the control channel in 5G communication in 2016. In a preferred embodiment of the invention, m=5, i.e. modulation is performed by a 32-PAM mapping. This embodiment takes Polar codes as forward error correction codes, 32-PAM mapping as modulation, and gives a generalized bit pick rule based on higher modulation orders of BCDM operations.
Fig. 1 is a block diagram of a polarization-coded modulation system based on BCDM operation according to this embodiment of the present invention. As in fig. 1, in this preferred embodimentIn an alternative embodiment, at the transmitting end, a uniformly distributed Bernoulli source sequence is employedk is the length of the information source sequence, firstly, the information source sequence is coded by Polar codes, and the output code word sequence is +.>N is the length of the codeword sequence, codeword sequence +.>And inputting the shaping code encoder, adopting BCDM operation to process, and carrying out bit selection and redundant bit insertion on the codeword sequence by utilizing the binary flag bit sequence with the length of N' generated by the pseudo-random number generator so as to change the symbol probability to obtain the shaping gain. Output sequence after bit selection and redundancy bit insertion +.>Mapping of five consecutive bits into one 32-PAM symbol is accomplished through a 32-PAM modulator. And finally, the mapped modulation signal is transmitted through an AWGN channel. The modulated signal is passed through AWGN channel to obtain signal y=x+n, where x is channel input information, n represents mean value 0 and variance sigma 2 Is a gaussian noise of (c). At the receiving end, the signal or information output by the channel is demodulated into bit LLR (LLR) by Log-Likelihood Ratio (Log-Likelihood Ratio) as shown in figure 1>Then N' redundant bits in the bit LLR sequence are deleted by using the same binary flag bit sequence through BCDM inverse operation IBCDM to obtain an information sequence +.>Last information sequence->Through Polar code decoderDecoding to obtain an estimate of the source bit sequence>The code modulation system can provide good bit protection capability, realize low error rate and improve system performance.
In this embodiment, the 32-PAM modulator uses a gray map based 32-PAM modulation method to modulate five consecutive bits (x 1 x 2 x 3 x 4 x 5 ) Mapping onto the corresponding 32 constellation points { ±1, ±3, ±5, ±7, ±9, ±11, ±13, ±15, ±17, ±19, ±21, ±23, ±25, ±27, ±29, ±31} to achieve the desired distribution of the channel input symbols. Fig. 2 is a schematic diagram of the 32-PAM constellation mapping employed in this embodiment.
In this embodiment, for mapping modulation of 32-PAM, a new sequence generated by performing bit selection and redundant bit insertion using BCDM operation has one constellation point corresponding to every 5 bits, and elements for every 5 bits in the new sequence are b 0 To b 4 To represent; wherein, the bit selection and redundant bit insertion by adopting the BCDM operation to obtain the changed codeword sequence comprises the following steps:
identifying a flag bit, and judging whether i < L is true or not, wherein L is the length of an external pseudo-random binary flag bit sequence, and i is a flag bit at an ith position in the flag bit sequence; if so, b is obtained by bit picking 0 To b 4 Is a 5-bit of (2); otherwise, sequentially extracting 5 bits from the codeword sequence output by the forward error correction code encoder for combination; wherein, the bit selection comprises the following steps:
when binary flag bit sequence flag [ i ]]When=1, let b 2 =flag[i]The significance of the remaining four-bit signal points is derived from the codeword sequence =1Sequentially taking out;
when binary flag bit sequence flag [ i ]]When=0, set b 2 =0,b 3 The significance of the remaining three-bit signal points is derived from the codeword sequence =1Sequentially taking out;
when flag [ i ]]When in space, from a sequence of code wordsSequentially taking out five bits for mapping into a PAM symbol;
each continuous 5 bits corresponding to the constellation point can be obtained through the bit selection step, and all obtained bits are sequentially combined to obtain the changed codeword sequence.
FIGS. 3a and 3b are probability distribution diagrams of channel input symbols using the method of the present invention with different pseudo-random number sequence lengths, i.e., lengths of the external pseudo-random binary flag bit sequences; wherein fig. 3a corresponds to a pseudorandom number sequence length 256 and fig. 3b corresponds to a pseudorandom number sequence length 341. Therefore, the method of the embodiment of the invention carries out bit selection through the reproducible pseudo-random binary sequence and the set special bit selection rule, can map and generate the transmission symbol with ideal probability distribution, realizes probability shaping, and optimizes the system performance.
Fig. 4 is a comparison diagram of simulation results, which compares simulation performance of the communication method according to the embodiment of the present invention with that of the conventional communication method of uniformly distributed symbol sequences. The simulation is carried out under 32-PAM high-order modulation and Polar code coding modulation, and the performance is expressed by bit error probability BER. Fig. 4 shows a comparison of system performance for a Polar code length of 2048, a code rate of 0.75, and a flag bit length L of 256 and 341, respectively. As can be seen from fig. 4, when the method of the embodiment of the present invention is used for communication, the system performance under 32-PAM modulation is better than the system performance under other equiprobable constellation mapping, and the simulation result proves the effectiveness of the modulation method based on BCDM operation of the embodiment of the present invention in various forward error correction coding such as Polar coding modulation systems, and proves that the method of the embodiment of the present invention is suitable for all communication systems adopting forward error correction coding modulation.
Embodiment III:
the invention also provides an information sending device, which comprises a processor, a memory and a computer program stored in the memory and capable of running on the processor, wherein the steps of the method for sending information according to the embodiment of the invention are realized when the processor executes the computer program.
Embodiment four:
the invention also provides an information receiving device, which comprises a processor, a memory and a computer program stored in the memory and capable of running on the processor, wherein the steps of the method for receiving information according to the embodiment of the invention are realized when the processor executes the computer program.
Fifth embodiment:
the invention also provides a communication system comprising the information transmitting device and the information receiving device.
Further, as an executable scheme, the transmitting device or the receiving device may be a communication terminal, such as an intelligent communication terminal, for example, a mobile phone, etc.
Further, as an implementation, the processor may be a central processing unit (Central Processing Unit, CPU), other general purpose processor, digital signal processor (Digital Signal Processor, DSP), application specific integrated circuit (Application Specific Integrated Circuit, ASIC), off-the-shelf programmable gate array (Field-Programmable Gate Array, FPGA) or other programmable logic device, discrete gate or transistor logic device, discrete hardware components, etc. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like that is a control center of the computer unit, connecting various parts of the entire computer unit using various interfaces and lines.
The memory may be used to store the computer program and/or modules, and the processor may implement the various functions of the computer unit by running or executing the computer program and/or modules stored in the memory, and invoking data stored in the memory. The memory may mainly include a storage program area and a storage data area, wherein the storage program area may store an operating system, at least one application program required for a function; the storage data area may store data created according to the use of the cellular phone, etc. In addition, the memory may include high-speed random access memory, and may also include non-volatile memory, such as a hard disk, memory, plug-in hard disk, smart Media Card (SMC), secure Digital (SD) Card, flash Card (Flash Card), at least one disk storage device, flash memory device, or other volatile solid-state storage device.
Example six:
the present invention also provides a computer readable storage medium storing a computer program which when executed by a processor implements the steps of the above-described method of an embodiment of the present invention.
The modules/units integrated with the computer unit may be stored in a computer readable storage medium if implemented in the form of software functional units and sold or used as separate products. Based on such understanding, the present invention may implement all or part of the flow of the method of the above embodiment, or may be implemented by a computer program to instruct related hardware, where the computer program may be stored in a computer readable storage medium, and when the computer program is executed by a processor, the computer program may implement the steps of each of the method embodiments described above. Wherein the computer program comprises computer program code which may be in source code form, object code form, executable file or some intermediate form etc. The computer readable medium may include: any entity or device capable of carrying the computer program code, a recording medium, a U disk, a removable hard disk, a magnetic disk, an optical disk, a computer Memory, a Read-Only Memory (ROM), a random access Memory (RAM, random Access Memory), a software distribution medium, and so forth. It should be noted that the content of the computer readable medium can be appropriately increased or decreased according to the requirements of the legislation and the patent practice in the jurisdiction.
While the invention has been particularly shown and described with reference to a preferred embodiment, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined by the appended claims.
Claims (10)
1. An information transmission method for implementing higher order probability shaping modulation, comprising:
s1, inputting a received information source sequence into a forward error correction code encoder for encoding, and outputting an encoded code word sequence;
s2, carrying out bit selection on a codeword sequence output by a forward error correction code encoder by using an external binary flag bit sequence with the length of L through bit classification distribution matching operation to obtain a changed codeword sequence; wherein, flag [ i ]]Representing a flag bit at an ith position in the external binary flag bit sequence, wherein i is more than or equal to 0<L, for 2 m PAM mapping, m is a positive integer greater than 4; wherein obtaining the changed codeword sequence by the bit classification distribution matching operation comprises:
s21, identifying a flag bit, and judging whether i < L is true or not; if so, b is obtained by bit picking 0 To b m-1 M bits of (2); otherwise, sequentially taking out m bits from the codeword sequence output by the forward error correction code encoder for combination;
wherein, when i is less than L, b is obtained by bit selection 0 To b m-1 The step of m bits of (a) includes:
when flag [ i ]]When=1, let b m-3 =flag[i]The significant bits of the remaining m-1 bit signal points are sequentially extracted from the codeword sequence output by the forward error correction code encoder;
when flag [ i ]]When=0, let b m-3 =0 and b m-2 The significant bits of the remaining m-2 bit signal points are sequentially extracted from the codeword sequence output by the forward error correction code encoder;
when the flag [ i ] is empty, sequentially taking m bits from the codeword sequence output by the forward error correction code encoder;
s22, combining all bit sequences obtained in the step S21 to obtain a changed codeword sequence;
s3, mapping the changed codeword sequence to a corresponding constellation point, wherein each continuous m-bit is mapped to one constellation point to obtain a modulation sequence;
and S4, transmitting the modulation sequence through an additive Gaussian white noise channel.
2. The information transmission method according to claim 1, wherein the external binary flag bit sequence bits are pseudo-random binary flag bit sequences generated by a pseudo-random number generator.
3. The information transmission method according to claim 1, wherein the received source sequence is a binary random sequence of bernoulli distribution.
4. The information transmission method according to claim 1, wherein the forward error correction code is a Polar code, and the forward error correction code encoder is a non-systematic Polar encoder.
5. The information transmission method according to claim 1, wherein m=5, and in the step S3, a gray mapping-based 32-PAM modulation method is adopted to map each continuous five bits in the changed codeword sequence to the corresponding 32 constellation points, so as to realize the desired distribution of the channel input symbols.
6. An information receiving method for receiving, at a receiving end, information transmitted using the information transmission method for implementing higher-order probability shaping modulation according to any one of claims 1 to 5, comprising:
s5, demodulating the symbol LLR sequence received from the additive Gaussian white noise channel into a bit LLR sequence;
s6, aiming at the bit LLR sequence obtained by demodulation, performing inverse operation of bit classification distribution matching operation on the bit LLR sequence by using an external binary flag bit sequence, deleting redundant bits inserted in the step S2, and generating a new bit LLR sequence;
s7, inputting the new bit LLR sequence generated in the step S6 into an SC decoder for decoding to obtain an information source estimation sequence.
7. An information transmission apparatus for implementing higher order probability shaping modulation, comprising a memory and a processor, the memory storing at least one program, the at least one program being executed by the processor to implement the method of any one of claims 1 to 5.
8. An information receiving apparatus comprising a memory and a processor, the memory storing at least one program, the at least one program being executed by the processor to implement the method of claim 6.
9. A communication system, comprising:
the information transmitting apparatus according to claim 7; the method comprises the steps of,
the information receiving apparatus according to claim 8.
10. A computer readable storage medium, characterized in that at least one program is stored in the storage medium, the at least one program being executed by a processor to implement the method of any one of claims 1 to 6.
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