CN115412198A - BIPCM mapping relation generation method, information bit set determination method and equipment - Google Patents

BIPCM mapping relation generation method, information bit set determination method and equipment Download PDF

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Publication number
CN115412198A
CN115412198A CN202110585968.5A CN202110585968A CN115412198A CN 115412198 A CN115412198 A CN 115412198A CN 202110585968 A CN202110585968 A CN 202110585968A CN 115412198 A CN115412198 A CN 115412198A
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code
bipcm
polarization
target
determining
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牛凯
戴金晟
吴泊霖
王森
袁弋非
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China Mobile Communications Group Co Ltd
China Mobile Communications Ltd Research Institute
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China Mobile Communications Group Co Ltd
China Mobile Communications Ltd Research Institute
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    • 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
    • H04L1/0057Block codes
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/0001Systems modifying transmission characteristics according to link quality, e.g. power backoff
    • H04L1/0002Systems modifying transmission characteristics according to link quality, e.g. power backoff by adapting the transmission rate
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/0001Systems modifying transmission characteristics according to link quality, e.g. power backoff
    • H04L1/0009Systems modifying transmission characteristics according to link quality, e.g. power backoff by adapting the channel coding
    • 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

A BIPCM mapping relation generation method, an information bit set determination method and equipment, the method includes: determining an equivalent channel of the BIPCM system according to the target spectrum efficiency of the BIPCM system; calculating the limited code length channel capacity of each polarization code component code of the BIPCM system according to the equivalent channel; and generating a mapping relation table of the BIPCM scheme according to the limited code length channel capacity of each polarization code component code of the BIPCM system, wherein the mapping relation table comprises at least one mapping relation, and each mapping relation comprises at least one of a target rate, a modulation order and a polarization code component code attribute parameter under different MCS indexes. The invention realizes a BIPCM mapping relation generation and information bit determination scheme independent of the channel state, and improves the flexibility and practical value of the BIPCM scheme.

Description

BIPCM mapping relation generation method, information bit set determination method and equipment
Technical Field
The present invention relates to the field of mobile communication technologies, and in particular, to a method for generating a mapping relationship of Bit-Interleaved Polar-Coded Modulation (BIPCM), a method for determining an information Bit set, and a device thereof.
Background
Polar Code (Polar Code), as the only channel coding technique that can theoretically prove to reach shannon limit at present and has practical linear complexity coding and decoding capability, is a strong candidate for the channel coding scheme in the fifth generation mobile communication system (5G). Currently, the Polar code scheme, which is mainly pushed by Huaye et al, has been determined by the 3GPP organization as a control channel coding scheme for a 5G enhanced mobile broadband (eMBB) scenario. So far, the technical scheme of channel coding of a 5G Enhanced Mobile Broadband (eMBB) scene is completely determined, where a Polar code is used as a coding scheme of a control channel.
The polar coding modulation scheme is a joint optimization design scheme of coding and modulation, can theoretically prove that the capacity of a symmetric channel is achieved, has better performance than a coding modulation scheme of a Low Density Parity Check (LDPC) code adopted in the current 5G in the aspect of practical application, and is one of strong candidate schemes in a mobile communication system.
The prior art polar coded modulation scheme is based on the framework of BIPCM, but the construction method relies on the signal-to-noise ratio and is not flexible enough in terms of practicality. Therefore, there is a need for a BIPCM scheme that can flexibly determine the information bit set of the polar code component code without depending on the channel state, and improve the practical value of the BIPCM scheme.
Disclosure of Invention
At least one embodiment of the present invention provides a mapping relationship generation method for a bipmc system, and a method and an apparatus for determining an information bit set, which implement a scheme for generating a mapping relationship and determining an information bit set of a bipmc that does not depend on a channel state, and improve the flexibility and the practical value of the bipmc scheme.
According to an aspect of the present invention, at least one embodiment provides a mapping relation generating method for bit interleaved polar coded modulation, including:
determining an equivalent channel of the BIPCM system according to the target spectrum efficiency of the BIPCM system;
calculating the limited code length channel capacity of each polarization code component code of the BIPCM system according to the equivalent channel;
and generating a mapping relation table of the BIPCM scheme according to the limited code length channel capacity of each polarization code component code of the BIPCM system, wherein the mapping relation table comprises at least one mapping relation, and each mapping relation comprises at least one of a target rate, a modulation order and a polarization code component code attribute parameter under different MCS indexes.
Furthermore, in accordance with at least one embodiment of the present invention, the polar code component code property parameter includes at least one of a limited code length channel capacity, a code rate, and a number of information bits of the polar code component code.
Furthermore, in accordance with at least one embodiment of the present invention, the determining an equivalent channel of the BIPCM system according to a target spectral efficiency of the BIPCM system comprises:
determining the target spectrum efficiency R of the BIPCM system according to the transmission parameters of the BIPCM system T = mR, wherein the code rate of the BIPCM system is R, and the symbol length is N;
determining an equivalent channel based on the target spectral efficiency
Figure BDA0003087439390000021
So that
Figure BDA0003087439390000022
Wherein
Figure BDA0003087439390000023
Representing the equivalent channel
Figure BDA0003087439390000024
Limited code length channel capacity of, and
Figure BDA0003087439390000025
wherein, the first and the second end of the pipe are connected with each other,
Figure BDA0003087439390000026
binary input equivalent channel representing jth polarization code component code, epsilon j Representing equivalent channels
Figure BDA0003087439390000027
And when the target error probability of the BIPCM system is e,
Figure BDA0003087439390000028
Figure BDA0003087439390000029
wherein
Figure BDA00030874393900000210
Is an equivalent channel
Figure BDA00030874393900000211
Is a complementary Gaussian cumulative distribution function, V j Is an equivalent channel
Figure BDA00030874393900000212
Channel divergence of, and
Figure BDA0003087439390000031
where p (y | x) is the equivalent channel
Figure BDA0003087439390000032
Is a channel transition probability of, and
Figure BDA0003087439390000033
Figure BDA0003087439390000034
for equivalent channels
Figure BDA0003087439390000035
The noise variance of the corresponding binary input additive white gaussian noise channel.
Furthermore, in accordance with at least one embodiment of the present invention, the calculating a limited code length channel capacity of each polarization code component code of the BIPCM system according to an equivalent channel includes:
will be equivalent channel
Figure BDA0003087439390000036
Splitting into m memoryless binary input channels
Figure BDA0003087439390000037
And is
Figure BDA0003087439390000038
Wherein, the first and the second end of the pipe are connected with each other,
Figure BDA0003087439390000039
represent
Figure BDA00030874393900000310
The transition probability of (a) is,
Figure BDA00030874393900000311
represent
Figure BDA00030874393900000312
The transition probability of (2);
in that
Figure BDA00030874393900000313
Adding (m ' -m) virtual channels with channel capacity of 0 to obtain m ' memoryless binary input channels, performing polarization transformation to obtain m ' binary equivalent input channels
Figure BDA00030874393900000314
Figure BDA00030874393900000315
And calculate each
Figure BDA00030874393900000316
Channel capacity of
Figure BDA00030874393900000317
According to
Figure BDA00030874393900000318
Channel capacity of
Figure BDA00030874393900000319
Code length N and error probability E j Calculating
Figure BDA00030874393900000320
Limited code length channel capacity of
Figure BDA00030874393900000321
Wherein the content of the first and second substances,
Figure BDA00030874393900000322
furthermore, according to at least one embodiment of the present invention, the generating a mapping relation table of a BIPCM scheme according to a limited code length channel capacity of each polar code component code of the BIPCM system includes:
and establishing a mapping relation of the BIPCM system according to the target spectrum efficiency of the BIPCM system and the finite code length channel capacity of each binary equivalent input channel, and distributing corresponding indexes to each mapping relation to obtain a mapping relation table of the BIPCM scheme.
Further, in accordance with at least one embodiment of the present invention, in the mapping relationship table:
the target rate of the BIPCM system is the target spectral efficiency of the BIPCM system;
when the attribute parameter of the polarization code component code is the code rate of the polarization code component code, determining the code rate distributed by each polarization code component code according to the proportion of the limited code length channel capacity of each polarization code component code in the BIPCM system in the total channel capacity;
when the attribute parameter of the polarization code component code is the number of the information bits of the polarization code component code, determining the code rate allocated to each polarization code component code according to the proportion of the limited code length channel capacity of each polarization code component code in the BIPCM system in the total channel capacity, and determining the number of the information bits of each polarization code component code according to the code rate of the polarization code component code in the BIPCM system.
Furthermore, according to at least one embodiment of the present invention, the determining the number of information bits of each polar code component code according to the code rate of the polar code component code in the BIPCM system includes:
for j = m' \ 8230;, 2,1, the number of information bits assigned to the jth polarization code component code, K j Comprises the following steps:
Figure BDA0003087439390000041
according to another aspect of the present invention, at least one embodiment provides a method for determining a set of information bits of a BIPCM system, including:
determining a mapping relation table of a BIPCM scheme, wherein the mapping relation table comprises at least one mapping relation, and each mapping relation comprises at least one of target rate, modulation order and polarization code component code attribute parameters under different MCS indexes;
determining the code rate and/or the number of information bits of each polarization code component code in the target BIPCM system according to the mapping relation table;
and determining an information bit set corresponding to each polarized code component code according to the code rate and/or the number of information bits of each polarized code component code in the target BIPCM system, wherein the information bit set is used for representing the position set of the information bits.
Further, according to at least one embodiment of the present invention, the determining the mapping relation table of the BIPCM scheme includes:
and generating a mapping relation table of the BIPCM scheme according to the limited code length channel capacity of each polarization code component code of the BIPCM system.
Furthermore, in accordance with at least one embodiment of the present invention, the limited code length channel capacity of the polar code component code is determined in accordance with the following:
determining an equivalent channel of the BIPCM system according to the target spectrum efficiency of the BIPCM system;
and calculating the limited code length channel capacity of each polarization code component code of the BIPCM system according to the equivalent channel.
Furthermore, in accordance with at least one embodiment of the present invention, the polar code component code property parameter includes at least one of a channel capacity, a code rate and a number of information bits of the polar code component code.
Furthermore, according to at least one embodiment of the present invention, in the case that the polar code component code attribute parameter includes a channel capacity of a polar code component code, the number of information bits of each polar code component code in the target BIPCM system is determined according to the following steps:
determining the channel capacity of each polarization code component code in the target BIPCM system according to the mapping relation table, and allocating code rate to each polarization code component code according to the proportion of the channel capacity of each polarization code component code in the target BIPCM system in the total channel capacity;
and calculating the number of information bits of each polarization code component code according to the code rate of the polarization code component code in the target BIPCM system.
Furthermore, according to at least one embodiment of the present invention, in a case that the polar code component code attribute parameter includes a code rate of a polar code component code, the number of information bits of each polar code component code in the target BIPCM system is determined according to the following steps:
determining the code rate of each polarization code component code in the target BIPCM system according to the mapping relation table;
and calculating the number of information bits of each polarization code component code according to the code rate of the polarization code component code in the target BIPCM system.
Furthermore, according to at least one embodiment of the present invention, the determining, according to the code rate and/or the number of information bits of each polar code component code in the target BIPCM system, an information bit set corresponding to each polar code component code includes:
according to a polarization sequence obtained in advance and the reliability of a bit sub-channel corresponding to a polarization code component code of the polarization sequence, determining the reliability sequencing of the polarization code component code with the code length of N to obtain a polarization code component code sequence, wherein the symbol length of the target BIPCM system is N;
according to the number K of information bits of each polarization code component code in the target BIPCM system j J =1,2, \8230;, m' determining the most reliable K from the polarization code component code sequence j And obtaining an information bit set corresponding to each polarization code component code in the target BIPCM system by each polarization code component code.
According to another aspect of the present invention, at least one embodiment provides a mapping relation generating apparatus for bit interleaved polar coded modulation, including:
the device comprises a determining module, a receiving module and a transmitting module, wherein the determining module is used for determining an equivalent channel of the BIPCM system according to the target spectrum efficiency of the BIPCM system;
the calculating module is used for calculating the channel capacity of each polarization code component code of the BIPCM system according to the equivalent channel;
a generating module, configured to generate a mapping relationship table of a BIPCM scheme according to a channel capacity of each polar code component code of the BIPCM system, where the mapping relationship table includes at least one mapping relationship, and each mapping relationship includes at least one of a target rate, a modulation order, and a polar code component code attribute parameter under different MCS indexes.
According to another aspect of the present invention, at least one embodiment provides an apparatus for determining a set of information bits of a BIPCM system, including:
a mapping table obtaining module, configured to determine a mapping relationship table of a BIPCM scheme, where the mapping relationship table includes at least one mapping relationship, and each mapping relationship includes at least one of a target rate, a modulation order, and a component code attribute parameter of a polar code under different MCS indexes;
the first determining module is used for determining the code rate and/or the number of information bits of each polarized code component code in the target BIPCM system according to the mapping relation table;
a second determining module, configured to determine, according to a code rate and/or the number of information bits of each component code of a polar code in the target BIPCM system, an information bit set corresponding to each component code of the polar code, where the information bit set is used to represent a position set of information bits;
according to another aspect of the invention, at least one embodiment provides a computer-readable storage medium having a program stored thereon, which when executed by a processor, performs the steps of the method as described above.
Compared with the prior art, the mapping relation generation method of the BIPCM system, the information bit set determination method and the equipment provided by the embodiment of the invention can realize flexible allocation of code rate on the premise of not losing performance as much as possible. Compared with the traditional BIPCM construction method depending on the channel state, the method has the advantages of low complexity, almost negligible influence on performance loss, simple and convenient operation, particular suitability for being applied to an actual communication system and good practical prospect.
Drawings
Various additional advantages and benefits will become apparent to those of ordinary skill in the art upon reading the following detailed description of the preferred embodiments. The drawings are only for purposes of illustrating the preferred embodiments and are not to be construed as limiting the invention. Also, like reference numerals are used to refer to like parts throughout the drawings. In the drawings:
fig. 1 is a schematic view of an application scenario according to an embodiment of the present invention;
FIG. 2 is a flow chart of a BIPCM scheme;
FIG. 3 is a flowchart of a method for generating a mapping relationship of a BIPCM system according to an embodiment of the present invention;
fig. 4 is another flowchart of a mapping relationship generation method of a BIPCM system according to an embodiment of the present invention;
FIG. 5 is a schematic illustration of channel splitting according to an embodiment of the present invention;
FIG. 6 is a flowchart of a method for determining a set of information bits of a BIPCM system according to an embodiment of the present invention;
FIG. 7 is a flowchart illustrating the operation of constructing a BIPCM system according to an embodiment of the present invention;
FIG. 8 is a diagram of performance simulation of a BIPCM scheme according to an embodiment of the present invention;
FIG. 9 is another performance simulation diagram of a BIPCM scheme according to an embodiment of the present invention;
fig. 10 is a schematic structural diagram of a mapping relationship generating apparatus according to an embodiment of the present invention;
fig. 11 is another schematic structural diagram of a mapping relationship generating apparatus according to an embodiment of the present invention;
FIG. 12 is a schematic structural diagram of an apparatus for determining a set of information bits according to an embodiment of the present invention;
fig. 13 is a schematic structural diagram of an apparatus for determining a set of information bits according to an embodiment of the present invention.
Detailed Description
Exemplary embodiments of the present invention will be described in more detail below with reference to the accompanying drawings. While exemplary embodiments of the invention are shown in the drawings, it should be understood that the invention may be embodied in various forms and should not be limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope of the invention to those skilled in the art.
The terms first, second and the like in the description and in the claims of the present application are used for distinguishing between similar elements and not necessarily for describing a particular sequential or chronological order. It is to be understood that the data so used is interchangeable under appropriate circumstances such that the embodiments of the application described herein are, for example, capable of operation in sequences other than those illustrated or otherwise described herein. Furthermore, the terms "comprises," "comprising," and "having," and any variations thereof, are intended to cover a non-exclusive inclusion, such that a process, method, system, article, or apparatus that comprises a list of steps or elements is not necessarily limited to those steps or elements expressly listed, but may include other steps or elements not expressly listed or inherent to such process, method, article, or apparatus. In the description and in the claims "and/or" means at least one of the connected objects.
The techniques described herein are not limited to NR systems and Long Time Evolution (LTE)/LTE Evolution (LTE-Advanced) systems, and may also be used for various wireless communication systems, such as Code Division Multiple Access (CDMA), time Division Multiple Access (TDMA), frequency Division Multiple Access (FDMA), orthogonal Frequency Division Multiple Access (OFDMA), single carrier Frequency Division Multiple Access (SC-FDMA), and other systems. The terms "system" and "network" are often used interchangeably. CDMA systems may implement Radio technologies such as CDMA2000, universal Terrestrial Radio Access (UTRA), and so on. UTRA includes Wideband CDMA (Wideband Code Division Multiple Access, WCDMA) and other CDMA variants. TDMA systems may implement radio technologies such as Global System for Mobile communications (GSM). The OFDMA system may implement radio technologies such as Ultra Mobile Broadband (UMB), evolved-UTRA (E-UTRA), IEEE 802.21 (Wi-Fi), IEEE 802.16 (WiMAX), IEEE 802.20, flash-OFDM, etc. UTRA and E-UTRA are parts of the Universal Mobile Telecommunications System (UMTS). LTE and higher LTE (e.g., LTE-A) are new UMTS releases that use E-UTRA. UTRA, E-UTRA, UMTS, LTE-A, and GSM are described in documents from an organization named "third Generation Partnership project" (3 rd Generation Partnership project,3 GPP). CDMA2000 and UMB are described in documents from an organization named "third generation partnership project 2" (3 GPP 2). The techniques described herein may be used for both the above-mentioned systems and radio technologies, as well as for other systems and radio technologies. However, the following description describes the NR system for purposes of example, and NR terminology is used in much of the description below, although the techniques may also be applied to applications other than NR system applications.
The following description provides examples and does not limit the scope, applicability, or configuration set forth in the claims. Changes may be made in the function and arrangement of elements discussed without departing from the spirit and scope of the disclosure. Various examples may omit, substitute, or add various procedures or components as appropriate. For example, the described methods may be performed in an order different than described, and various steps may be added, omitted, or combined. In addition, features described with reference to certain examples may be combined in other examples.
Referring to fig. 1, fig. 1 is a block diagram of a wireless communication system to which an embodiment of the present invention is applicable. The wireless communication system includes a terminal 11 and a network device 12. The terminal 11 may also be referred to as a User terminal or a User Equipment (UE), where the terminal 11 may be a Mobile phone, a Tablet Personal Computer (Tablet Personal Computer), a Laptop Computer (Laptop Computer), a Personal Digital Assistant (PDA), a Mobile Internet Device (MID), a Wearable Device (Wearable Device), or a vehicle-mounted Device, and the specific type of the terminal 11 is not limited in the embodiment of the present invention. The network device 12 may be a Base Station and/or a core network element, wherein the Base Station may be a 5G or later-version Base Station (e.g., a gNB, a 5G NR NB, etc.), or a Base Station in other communication systems (e.g., an eNB, a WLAN access point, or other access points, etc.), where the Base Station may be referred to as a node B, an evolved node B, an access point, a Base Transceiver Station (BTS), a radio Base Station, a radio Transceiver, a Basic Service Set (BSS), an Extended Service Set (ESS), a node B, an evolved node B (eNB), a home node B, a home evolved node B, a WLAN access point, a WiFi node, or some other suitable terminology in the field, as long as the same technical effect is achieved, the Base Station is not limited to a specific technical vocabulary, and it should be noted that the Base Station in the NR system is only taken as an example in the embodiment of the present invention, but the specific type of the Base Station is not limited.
The base stations may communicate with the terminals 11 under the control of a base station controller, which may be part of the core network or some of the base stations in various examples. Some base stations may communicate control information or user data with the core network through a backhaul. In some examples, some of these base stations may communicate with each other directly or indirectly over backhaul links, which may be wired or wireless communication links. A wireless communication system may support operation on multiple carriers (waveform signals of different frequencies). A multi-carrier transmitter can transmit modulated signals on the multiple carriers simultaneously. For example, each communication link may be a multi-carrier signal modulated according to various radio technologies. Each modulated signal may be transmitted on a different carrier and may carry control information (e.g., reference signals, control channels, etc.), overhead information, data, and so on.
The base station may communicate wirelessly with the terminal 11 via one or more access point antennas. Each base station may provide communication coverage for a respective coverage area. The coverage area of an access point may be divided into sectors that form only a portion of the coverage area. A wireless communication system may include different types of base stations (e.g., macro, micro, or pico base stations). The base stations may also utilize different radio technologies, such as cellular or WLAN radio access technologies. The base stations may be associated with the same or different access networks or operator deployments. The coverage areas of different base stations (including coverage areas of base stations of the same or different types, coverage areas utilizing the same or different radio technologies, or coverage areas belonging to the same or different access networks) may overlap.
The communication links in a wireless communication system may comprise an Uplink for carrying Uplink (UL) transmissions (e.g., from terminal 11 to network device 12) or a Downlink for carrying Downlink (DL) transmissions (e.g., from network device 12 to terminal 11). The UL transmission may also be referred to as reverse link transmission, while the DL transmission may also be referred to as forward link transmission. Downlink transmissions may be made using licensed frequency bands, unlicensed frequency bands, or both. Similarly, uplink transmissions may be made using licensed frequency bands, unlicensed frequency bands, or both.
As described in the background art, the information bit determination scheme of the prior art BIPCM is dependent on the channel state, and has low flexibility and low practicability. In order to solve at least one of the above problems, embodiments of the present invention provide a method for determining an information bit set of a polar code component code in a bipmc scheme, where a corresponding code rate is allocated according to a channel capacity of each polar code component code in a polar code modulation scheme, so as to implement flexible determination of an information bit set of a polar code component code independent of a channel state, and enhance a practical value of a polar code modulation scheme.
The method for determining the information bits of the polar coding modulation provided by the embodiment of the invention can realize flexible allocation of the code rate on the premise of reducing the performance loss as much as possible. Compared with the traditional method for determining the information bit set of the polarization code component code depending on the channel state of the PCM, the method has the advantages of low complexity, almost negligible influence on performance loss, simple and convenient operation, particular suitability for being applied to an actual communication system and good practical prospect.
In order to achieve at least one of the above objectives, an embodiment of the present invention provides a method for determining information bits of a bipmc, where an equivalent channel capable of reliable transmission is found according to a spectral efficiency of transmission; calculating the channel capacity of each component code in the PCM according to the equivalent channel; and allocating the proper code rate to each component code by using the channel capacity of each component code in the PCM.
Let m denote the modulation order. As shown in fig. 2, a general flow diagram of the BIPCM scheme is shown:
firstly, CRC coding is carried out on a transmission block from an upper layer; after CRC is added, if the number of bits included in a transport block exceeds a certain length, the transport block needs to be divided into a plurality of code blocks, and each code block is subjected to CRC coding once.
Then, each code block to which CRC is added is individually subjected to polar code encodingThereby obtaining a coded sequence, wherein the code rate allocation and the selection of information bits for the BIPCM component codes are referred to as the construction of polar coded modulation. The resulting code sequence is then interleaved once and split into m' bit streams using serial/parallel conversion, wherein
Figure BDA0003087439390000111
Then, carrying out rate adaptation operation on the bit stream; then, if the foregoing steps are performed with segmentation operation, the bit streams of each code block need to be concatenated; and finally, sequentially taking 1 bit from the first m bit streams respectively to form a plurality of m-bit sequences, and mapping the m-bit sequences into modulation symbol sequences according to a Gray mapping rule and finally sending the modulation symbol sequences into a channel for transmission.
The invention aims at a BIPCM system and aims at providing a general construction scheme of polar coded modulation.
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail with reference to the accompanying drawings.
Referring to fig. 3 and fig. 4, a method for generating a mapping relationship of a BIPCM system according to an embodiment of the present invention includes:
and step 31, determining an equivalent channel of the BIPCM system according to the target spectrum efficiency of the BIPCM system.
Here, before determining the equivalent channel, a BIPCM system may be constructed, initializing parameters of the BIPCM scheme.
Here, the embodiment of the present invention may construct a BIPCM system with a code rate of R and a symbol length of N for transmission over a channel W. Wherein is provided with
Figure BDA0003087439390000112
Representing a discrete memoryless channel, and,
Figure BDA0003087439390000113
represents a modulation symbol of modulation order m of the channel W input and
Figure BDA0003087439390000114
Figure BDA0003087439390000115
a symbol representing the output of channel W; i (X; Y) represents mutual information between the input and output of the channel W; given a sequence of m bits
Figure BDA0003087439390000116
The mapping rule of the modulation symbols is
Figure BDA0003087439390000117
And obey the gray mapping rule.
Figure BDA0003087439390000118
Representing the mapping rules.
As shown in FIG. 5, according to the BIPCM scheme, the channel W can be split into m memoryless binary input channels { W k K =1,2, \ 8230 }, m, i.e.:
Figure BDA0003087439390000121
each channel W k The channel transition probability of (a) is:
Figure BDA0003087439390000122
in order to transmit on the channel W and construct a bipmc transmission system with a code rate of R and a symbol length of N, the channel W needs to be split first, i.e. the channel W is split into m memoryless binary input channels { W } k K =1,2, \ 8230;, m. To match the constraint of polar code encoding length of integer power of 2, when m is not equal to integer power of 2, it needs to be in { W } k In which (m '-m) virtual channels with channel capacity of 0 are added, wherein j =1,2, \ 8230, m',
Figure BDA0003087439390000123
Figure BDA0003087439390000124
representing the rounding operation.
Namely, it is
Figure BDA0003087439390000125
Here, x represents a virtual channel having a channel capacity of 0.
Then polarization transformation is carried out on the m 'memoryless binary input channels to obtain m' bit sub-channels
Figure BDA0003087439390000126
Each bit subchannel
Figure BDA0003087439390000127
Corresponding to a polar code component code of code length N. That is, in { W k (m '-m) virtual channels with channel capacity of 0 are added to obtain m' memoryless binary input channels.
Then, for the BIPCM transmission system, the most reliable K sub-channels are selected from all m' N polarized sub-channels to bear information bits, and the information bit set of the jth polarized code component code is set as
Figure BDA0003087439390000128
Obtaining the information bit number of the BIPCM system
Figure BDA0003087439390000129
Code rate of
Figure BDA00030874393900001210
The embodiment of the invention can be used for determining the target spectrum efficiency R of the BIPCM system T = mR is equivalent to an equivalent channel capable of ensuring accurate transmission of target spectrum efficiency
Figure BDA00030874393900001211
The method specifically comprises the following steps: according toThe transmission parameters of the BIPCM system determine the target spectrum efficiency R of the BIPCM system T = mR; according to the target spectrum efficiency R T Finding out equivalent channel capable of ensuring accurate transmission of target spectrum efficiency
Figure BDA00030874393900001212
Channel equivalence method based on finite code length channel capacity, according to R T Determining an equivalent channel
Figure BDA0003087439390000131
So that
Figure BDA0003087439390000132
Wherein
Figure BDA0003087439390000133
Representing the equivalent channel
Figure BDA0003087439390000134
Limited code length channel capacity.
Figure BDA0003087439390000135
The calculation method of (a) is as follows:
Figure BDA0003087439390000136
wherein, the first and the second end of the pipe are connected with each other,
Figure BDA0003087439390000137
binary input equivalent channel representing jth polarization code component code, N representing symbol length, e j Representing equivalent channels
Figure BDA0003087439390000138
And when the target error probability of the BIPCM system is e,
Figure BDA0003087439390000139
and further:
Figure BDA00030874393900001310
wherein
Figure BDA00030874393900001311
Is an equivalent channel
Figure BDA00030874393900001312
Is a complementary Gaussian cumulative distribution function, V j Is an equivalent channel
Figure BDA00030874393900001313
And:
Figure BDA00030874393900001314
wherein p (y) represents the probability of receiving y; p (y | x) is an equivalent channel
Figure BDA00030874393900001315
And:
Figure BDA00030874393900001316
here, the first and second liquid crystal display panels are,
Figure BDA00030874393900001317
is an equivalent channel
Figure BDA00030874393900001318
The noise variance of the corresponding binary input additive white gaussian noise channel.
And 32, calculating the channel capacity of each polarization code component code of the BIPCM system according to the equivalent channel.
Here, the equivalent channel is divided by the channel splitting method in step 21
Figure BDA0003087439390000141
Splitting into m memoryless binary input channels
Figure BDA0003087439390000142
When m is not equal to the integer power of 2, (m '-m) virtual channels are additionally added, and m' bit sub-channels are obtained by utilizing polarization transformation
Figure BDA0003087439390000143
Figure BDA0003087439390000144
And calculate each
Figure BDA0003087439390000145
Limited code length channel capacity. The method comprises the following specific steps:
the channel equivalent method based on the channel capacity comprises the following steps: will be equivalent channel
Figure BDA0003087439390000146
Splitting into m memoryless binary input equivalent channels
Figure BDA0003087439390000147
And is provided with
Figure BDA0003087439390000148
Wherein, the first and the second end of the pipe are connected with each other,
Figure BDA0003087439390000149
represent
Figure BDA00030874393900001410
Of channel transition, i.e. transmission b k A probability of receiving y;
Figure BDA00030874393900001411
represent
Figure BDA00030874393900001412
The transition probability of (2). Then, according to
Figure BDA00030874393900001413
Channel transition probability of
Figure BDA00030874393900001414
Calculating its channel capacity
Figure BDA00030874393900001415
When m is not equal to the integer power of 2, in
Figure BDA00030874393900001416
In which (m '-m) virtual channels with channel capacity of 0 are additionally added, in which j =1,2, \8230, m',
Figure BDA00030874393900001417
Figure BDA00030874393900001418
representing the rounding operation. Then, the m 'memoryless binary input channels are subjected to polarization transformation to obtain m' binary equivalent input channels
Figure BDA00030874393900001419
And calculates its channel capacity
Figure BDA00030874393900001420
Then, according to
Figure BDA00030874393900001421
Channel capacity of
Figure BDA00030874393900001422
Code length N and error probability ∈ k Calculating
Figure BDA00030874393900001423
Limited code length channel capacity
Figure BDA00030874393900001424
Figure BDA00030874393900001425
Step 33, generating a mapping relation table of the BIPCM scheme according to the channel capacity of each polar code component code of the BIPCM system, wherein the mapping relation table includes at least one mapping relation, and each mapping relation includes at least one of a target rate, a modulation order and a polar code component code attribute parameter under different MCS indexes.
Here, the channel capacity of each polarization code component code in the BIPCM system may be used to allocate a suitable code rate to the corresponding component code, specifically, according to each polarization code component code
Figure BDA0003087439390000152
The corresponding polarization code division component codes are allocated with proper code rates, and proper sub-channels are selected according to fixed sequences (such as sequences in the 5G standard) to transmit information bits.
The attribute parameter of the component code of the polar code comprises at least one of the channel capacity, the code rate and the number of information bits of the component code of the polar code. The embodiment of the invention can establish the mapping relation of the BIPCM system according to the target spectrum efficiency of the BIPCM system and the limited code length channel capacity of each binary equivalent input channel, and distribute corresponding indexes to each mapping relation to obtain the mapping relation table of the BIPCM scheme.
Here, in the mapping relationship table:
the target rate of the BIPCM system is the target spectral efficiency of the BIPCM system;
when the polarization code component code attribute parameter is the channel capacity of the polarization code component code, taking the limited code length channel capacity of each binary equivalent input channel as the channel capacity of the corresponding polarization code component code;
when the attribute parameter of the polarization code component code is the code rate of the polarization code component code, determining the code rate allocated to each polarization code component code according to the proportion of the channel capacity of each polarization code component code in the BIPCM system in the total channel capacity;
when the attribute parameter of the polarization code component code is the information bit number of the polarization code component code, determining the code rate allocated to each polarization code component code according to the proportion of the channel capacity of each polarization code component code in the BIPCM system in the total channel capacity, and determining the information bit number of each polarization code component code according to the code rate of the polarization code component code in the BIPCM system.
When the information bit number of each polarization code component code is determined according to the code rate of the polarization code component code in the BIPCM system, the code rate distribution method based on the equivalent capacity of the limited code length channel comprises the following steps:
for j = m', \8230;, 2,1, the number of information bits assigned to the jth polarization code component code, K j Comprises the following steps:
Figure BDA0003087439390000151
the sequence can also be based on a preset fixed sequence (such as the sequence in the 5G standard) and K j Determining a set of information bits
Figure BDA0003087439390000161
Through the steps, the embodiment of the invention can generate the mapping relation table of the BIPCM scheme. In practical application, the mapping relationship table may be utilized to determine an information bit set corresponding to the component code of the polar code, where the information bit set is used to represent a position set of information bits.
Based on the above method, the embodiment of the present invention provides a structure table (i.e. the mapping relationship table in the above) of a Modulation and Coding Scheme (MCS) in practical use, as shown in table 1, which is a result of allocating code rates under 16-bit CRC and different MCSs according to the embodiment of the present invention. In addition, table 2 shows the polar code reliability ranks used in the 5G NR, it should be noted that the present invention is not limited to the polar code reliability ranks in the 5G NR, and other polar code reliability ranks, such as PW ranks, may be applied to the present invention. The ordering in table 2 is used here only as a specific example.
Figure BDA0003087439390000171
TABLE 1
Figure BDA0003087439390000172
Figure BDA0003087439390000181
Figure BDA0003087439390000191
Figure BDA0003087439390000201
Figure BDA0003087439390000211
Figure BDA0003087439390000221
TABLE 2
Based on the mapping relationship table obtained by the above method, an embodiment of the present invention further provides a method for determining an information bit set of a BIPCM system, as shown in fig. 6, including:
step 351, determining a mapping relation table of the BIPCM scheme, where the mapping relation table includes at least one mapping relation, and each mapping relation includes at least one of a target rate, a modulation order, and a parameter of a component code attribute of a polar code under different MCS indexes.
Here, the mapping relation table may be generated based on the method shown in fig. 3 or fig. 4. The polar code component code attribute parameter includes at least one of channel capacity, code rate and information bit number of the polar code component code.
And 352, determining the code rate and/or the number of information bits of each polarization code component code in the target BIPCM system according to the mapping relation table.
Step 353, determining an information bit set corresponding to each polarization code component code according to the code rate and/or the number of the information bits of each polarization code component code in the target BIPCM system, where the information bit set is used to represent a position set of the information bits.
Through the above steps, the embodiment of the present invention can implement the construction of the BIPCM scheme.
In step 352, when the attribute parameter of the polar code component code is the channel capacity of the polar code component code, the number of information bits of each polar code component code in the target BIPCM system may be determined according to the following steps: 1) Determining the channel capacity of each polarization code component code in the target BIPCM system according to the mapping relation table, and allocating code rate to each polarization code component code according to the proportion of the channel capacity of each polarization code component code in the target BIPCM system in the total channel capacity; 2) And calculating the number of information bits of each polarization code component code according to the code rate of the polarization code component code in the target BIPCM system.
In step 352, when the attribute parameter of the polar code component code is the code rate of the polar code component code, the number of information bits of each polar code component code in the target BIPCM system is determined according to the following steps: 1) Determining the code rate of each polarization code component code in the target BIPCM system according to the mapping relation table; 2) And calculating the number of information bits of each polarization code component code according to the code rate of the polarization code component code in the target BIPCM system.
In the above step 353, determination is madeThe information bit set corresponding to each polarization code component code may specifically include: 1) Determining the reliability sequencing of the polarization code component codes with the code length of N according to a polarization sequence obtained in advance and the bit sub-channel reliability corresponding to the polarization code component codes of the polarization sequence to obtain a polarization code component code sequence, wherein the symbol length of the target BIPCM system is N; 2) According to the number K of information bits of each polarization code component code in the target BIPCM system j J =1,2, \8230;, m' determining the most reliable K from the code sequence of polarization code components j And obtaining an information bit set corresponding to each polarization code component code in the target BIPCM system by using the polarization code component codes.
A specific example of constructing a BIPCM scheme according to a code rate allocated to each component code is provided below, as shown in fig. 7, an operation flowchart for constructing a BIPCM system in actual use according to an embodiment of the present invention specifically includes:
a, step a: according to the table 1 generated in the embodiment of the present invention, the MCS configuration table shown in table 1 is looked up, so that the code rate of each component code and the corresponding information bit number K in the bipmc system can be determined j ,j=1,2,…,m′;
Step b: determining the reliability ranking of the polarized sub-channels according to the code length N of each component code and the polarization sequence shown in table 2, specifically:
(b1) Polarization sequence as shown in Table 2
Figure BDA0003087439390000241
The bits are sorted according to the reliability of the bit sub-channels from small to large, that is
Figure BDA0003087439390000242
Wherein
Figure BDA0003087439390000243
Denotes the first
Figure BDA0003087439390000244
Reliability of the bit sub-channels;
(b2) For a polar code with code length N, the same can be saidTo obtain a polarization sequence
Figure BDA0003087439390000245
Then the polarization sequences are ranked in order of reliability
Figure BDA0003087439390000246
Step c: according to the number K of information bits of each component code in BIPCM j J =1,2, \8230;, m' and polarization sequence
Figure BDA0003087439390000247
Determining a corresponding set of information bits
Figure BDA0003087439390000248
Assuming that MCS is 5, modulation scheme is 16QAM and symbol number is 256, since two I/Q paths are independent and each path represents two bits in 16QAM, 2 component codes with code length of 512 can be used in polar coded modulation to form a polar coded modulation structure. Then, according to table 1, it can be found that the capacity of the first component code is 0.1426, and the capacity of the second component code is 0.6270, so that the information bit number is 512 × (0.1426 + 0.6270) =394. Table 2 is then consulted to determine the reliability ranking of the 512 polarized subchannels contained in the component code. And finally, determining a corresponding information bit set according to the information bit number of the two component codes and the reliability sequencing of the sub-channels.
The above method of the embodiment of the present invention has been used in experiments and simulations of a plurality of simulation embodiments, and the following describes in detail the implementation process and performance analysis of the embodiment of the present invention with respect to the test results of the simulation embodiments:
referring to fig. 8, a graph of link throughput for a block-fading channel at symbol number 256 is shown. The adaptive modulation and coding scheme ensures the error rate to be less than 10 -1 And under the condition, selecting code rate and modulation mode by adopting MCS of 5G NR. In fig. 8, a curve 801 corresponding to RF represents a structural scheme based on the embodiment of the present invention, and compared with a curve 802 corresponding to the LDPC code of 5G NR, the RF proposed by the embodiment of the present invention can have an improvement in throughput rateAnd (5) rising.
Referring to fig. 9, the symbol number is 256, and the error rate reaches 10 for different MCSs and AWGN channels -1 The required signal-to-noise ratio. Fig. 9 shows an embodiment of the present invention in RF. It can be seen from fig. 9 that the rate allocation schemes proposed in the embodiments of the present invention all can obtain performance almost identical to that of the gaussian approximation structure, and are all better than that of the LDPC code of 5G NR.
From the above, it can be seen that the embodiments of the present invention have at least the following advantages: 1) Compared with the traditional BIPCM scheme depending on the channel state, the embodiment of the invention can provide a flexible construction method of the BIPCM which does not depend on the signal to noise ratio on the premise of not losing the performance as much as possible; 2) The method provided by the embodiment of the invention has the advantages of lower complexity and simplicity and convenience in operation. Therefore, the embodiment of the invention is more suitable for application in an actual communication system and has good popularization and application prospects.
Various methods of embodiments of the present invention have been described above. An apparatus for carrying out the above method is further provided below.
Referring to fig. 10, an embodiment of the present invention provides a device for generating a mapping relationship of a bipmc, including:
a determining module 1002, configured to determine an equivalent channel of a BIPCM system according to a target spectral efficiency of the BIPCM system;
a calculating module 1003, configured to calculate, according to the equivalent channel, a limited code length channel capacity of each polar code component code of the BIPCM system;
a generating module 1004, configured to generate a mapping relationship table of the BIPCM scheme according to the limited code length channel capacity of each polar code component code of the BIPCM system, where the mapping relationship table includes at least one mapping relationship, and each mapping relationship includes at least one of a target rate, a modulation order, and a polar code component code attribute parameter under different MCS indexes.
Optionally, the mapping relationship generating apparatus may further include: and the initialization module is used for constructing a Bit Interleaved Polar Coding Modulation (BIPCM) system and initializing parameters of a BIPCM scheme.
Optionally, the polar code component code attribute parameter includes at least one of a limited code length channel capacity, a code rate, and an information bit number of the polar code component code.
Optionally, the initialization module is specifically configured to:
constructing a BIPCM system with code rate R and symbol length N for transmission over a channel W, wherein,
Figure BDA0003087439390000261
represents a modulation symbol of modulation order m of the channel W input and
Figure BDA0003087439390000262
Figure BDA0003087439390000263
a symbol representing the output of channel W; i (X; Y) represents mutual information between the input and output of the channel W; given a sequence of m bits
Figure BDA0003087439390000264
The mapping rule of the modulation symbols is
Figure BDA0003087439390000265
And obey the gray mapping rule;
splitting the channel W into m memoryless binary input channels { W } k K =1,2, \ 8230;, m, and is in { W } k (m '-m) virtual channels with channel capacity of 0 are added to get m' memoryless binary input channels, wherein,
Figure BDA0003087439390000266
Figure BDA0003087439390000267
represents a rounding up operation; carrying out polarization transformation on the m 'memoryless binary input channels to obtain m' bit sub-channels
Figure BDA0003087439390000268
Each bit subchannel pairA polarization code component code with a code length of N;
selecting the most reliable K sub-channels to carry information bits from all m' N polarized sub-channels, and setting the information bit set of the jth polarized code component code as
Figure BDA0003087439390000269
Obtaining the information bit number of the BIPCM system
Figure BDA00030874393900002610
Code rate of
Figure BDA00030874393900002611
Optionally, the determining module is specifically configured to:
determining the target spectrum efficiency R of the BIPCM system according to the transmission parameters of the BIPCM system T =mR;
Determining an equivalent channel according to the target spectrum efficiency
Figure BDA00030874393900002612
So that
Figure BDA00030874393900002613
Wherein
Figure BDA00030874393900002614
Representing the equivalent channel
Figure BDA00030874393900002615
Limited code length channel capacity of, and
Figure BDA0003087439390000271
wherein the content of the first and second substances,
Figure BDA0003087439390000272
binary input equivalent channel representing jth polarization code component code, N representing symbol length, e j Representing equivalent channels
Figure BDA0003087439390000273
And when the target error probability of the BIPCM system is e,
Figure BDA0003087439390000274
Figure BDA0003087439390000275
wherein
Figure BDA0003087439390000276
Is an equivalent channel
Figure BDA0003087439390000277
Is a complementary Gaussian cumulative distribution function, V j Is an equivalent channel
Figure BDA0003087439390000278
Channel divergence of, and
Figure BDA0003087439390000279
where p (yx) is the equivalent channel
Figure BDA00030874393900002710
Is a channel transition probability of, and
Figure BDA00030874393900002711
Figure BDA00030874393900002712
is an equivalent channel
Figure BDA00030874393900002713
The noise variance of the corresponding binary input additive white gaussian noise channel.
Optionally, the calculation module is specifically configured to:
will be equivalent channel
Figure BDA00030874393900002714
Splitting into m memoryless binary input channels
Figure BDA00030874393900002715
And is
Figure BDA00030874393900002716
Wherein the content of the first and second substances,
Figure BDA00030874393900002717
represent
Figure BDA00030874393900002718
The transition probability of (a) is,
Figure BDA00030874393900002719
represent
Figure BDA00030874393900002720
The transition probability of (2);
in that
Figure BDA00030874393900002721
Adding (m ' -m) virtual channels with channel capacity of 0 to obtain m ' memoryless binary input channels, performing polarization transformation to obtain m ' binary equivalent input channels
Figure BDA00030874393900002722
Figure BDA00030874393900002723
And calculate each
Figure BDA00030874393900002724
Channel capacity of
Figure BDA00030874393900002725
According to
Figure BDA0003087439390000281
Of the channel
Figure BDA0003087439390000282
Code length N and error probability E j Calculating
Figure BDA0003087439390000283
Limited code length channel capacity of
Figure BDA0003087439390000284
Wherein the content of the first and second substances,
Figure BDA0003087439390000285
optionally, the generating module is specifically configured to:
and establishing a mapping relation of the BIPCM system according to the target spectrum efficiency of the BIPCM system and the finite code length channel capacity of each binary equivalent input channel, and distributing corresponding indexes to each mapping relation to obtain a mapping relation table of the BIPCM scheme.
Optionally, in the mapping relationship:
the target rate of the BIPCM system is the target spectral efficiency of the BIPCM system;
the generation module is further configured to:
when the attribute parameter of the polarization code component code is the code rate of the polarization code component code, determining the code rate distributed by each polarization code component code according to the proportion of the limited code length channel capacity of each polarization code component code in the BIPCM system in the total channel capacity;
when the attribute parameter of the polarization code component code is the information bit number of the polarization code component code, determining the code rate distributed by each polarization code component code according to the proportion of the limited code length channel capacity of each polarization code component code in the BIPCM system in the total channel capacity, and determining the information bit number of each polarization code component code according to the code rate of the polarization code component code in the BIPCM system.
Optionally, the generating module is further configured to:
for j = m' \ 8230;, 2,1, assigned to the jth polarization code component codeNumber of information bits K j Comprises the following steps:
Figure BDA0003087439390000286
it should be noted that the apparatus in this embodiment is an apparatus corresponding to the method shown in fig. 3, and the implementation manners in the above embodiments are all applicable to the embodiment of the apparatus, and the same technical effects can be achieved. The device provided in the embodiment of the present invention can implement all the method steps implemented by the method embodiment, and can achieve the same technical effects, and detailed descriptions of the same parts and beneficial effects as the method embodiment in this embodiment are omitted here.
Referring to fig. 11, an embodiment of the present invention provides a schematic structural diagram of a mapping relationship generating apparatus, including: a processor 1101, a transceiver 1102, a memory 1103, and a bus interface, wherein:
in this embodiment of the present invention, the mapping relationship generating apparatus further includes: a program stored on the memory 1103 and executable on the processor 1101, the program when executed by the processor 1101 performing the steps of:
constructing a Bit Interleaved Polar Coding Modulation (BIPCM) system, and initializing parameters of a BIPCM scheme;
determining an equivalent channel of the BIPCM system according to the target spectrum efficiency of the BIPCM system;
calculating the channel capacity of each polarization code component code of the BIPCM system according to the equivalent channel;
and generating a mapping relation table of the BIPCM scheme according to the channel capacity of each polar code component code of the BIPCM system, wherein the mapping relation table comprises at least one mapping relation, and each mapping relation comprises at least one of a target rate, a modulation order and a polar code component code attribute parameter under different MCS indexes.
It can be understood that, in the embodiment of the present invention, when the computer program is executed by the processor 1101, each process of the method embodiment shown in fig. 3 can be implemented, and the same technical effect can be achieved.
In fig. 11, the bus architecture may include any number of interconnected buses and bridges, with various circuits representing one or more processors, in particular processors 1101, and memories, in particular memories 1103, being linked together. The bus architecture may also link together various other circuits such as peripherals, voltage regulators, power management circuits, and the like, which are well known in the art, and therefore, will not be described any further herein. The bus interface provides an interface. The transceiver 1102 may be a plurality of elements including a transmitter and a receiver that provide a means for communicating with various other apparatus over a transmission medium.
The processor 1101 is responsible for managing the bus architecture and general processing, and the memory 1103 may store data used by the processor 1101 in performing operations.
It should be noted that the terminal in this embodiment is a device corresponding to the method shown in fig. 3, and the implementation manners in the above embodiments are all applicable to the embodiment of the terminal, and the same technical effects can be achieved. In the device, the transceiver 1102 and the memory 1103, and the transceiver 1102 and the processor 1101 may be communicatively connected through a bus interface, and the functions of the processor 1101 may also be implemented by the transceiver 1102, and the functions of the transceiver 1102 may also be implemented by the processor 1101. It should be noted that the apparatus provided in the embodiment of the present invention can implement all the method steps implemented by the method embodiment, and can achieve the same technical effects, and detailed descriptions of the same parts and beneficial effects as the method embodiment in this embodiment are omitted here.
In some embodiments of the invention, there is also provided a computer readable storage medium having a program stored thereon, which when executed by a processor, performs the steps of:
constructing a Bit Interleaved Polar Coding Modulation (BIPCM) system, and initializing parameters of a BIPCM scheme;
determining an equivalent channel of the BIPCM system according to the target spectrum efficiency of the BIPCM system;
calculating the limited code length channel capacity of each polarization code component code of the BIPCM system according to the equivalent channel;
and generating a mapping relation table of the BIPCM scheme according to the limited code length channel capacity of each polarized code component code of the BIPCM system, wherein the mapping relation table comprises at least one mapping relation, and each mapping relation comprises at least one of a target rate, a modulation order and a polarized code component code attribute parameter under different MCS indexes.
When being executed by the processor, the program can realize all the implementation modes in the mapping relation generation method applied to the BIPCM system, and can achieve the same technical effect, and the details are not repeated here to avoid repetition.
Referring to fig. 12, an embodiment of the present invention further provides an apparatus for determining an information bit set of a BIPCM system, including:
a mapping table obtaining module 1201, configured to determine a mapping table of the BIPCM scheme, where the mapping table includes at least one mapping relationship, and each mapping relationship includes at least one of a target rate, a modulation order, and a polar code component code attribute parameter under different MCS indexes;
a first determining module 1202, configured to determine, according to the mapping relation table, a code rate and/or a number of information bits of each polar code component code in the target BIPCM system;
a second determining module 1203, configured to determine, according to a code rate and/or the number of information bits of each polar code component code in the target BIPCM system, an information bit set corresponding to each polar code component code, where the information bit set is used to represent a position set of information bits;
wherein the mapping relation table is generated according to the apparatus shown in fig. 10.
Preferably, the polar code component code attribute parameter includes at least one of a channel capacity, a code rate and an information bit number of the polar code component code.
Preferably, the first determining module is further configured to, in a case that the parameter of the polar code component code attribute includes a channel capacity of a polar code component code, determine the number of information bits of each polar code component code in the target BIPCM system according to the following steps:
determining the channel capacity of each polarization code component code in the target BIPCM system according to the mapping relation table, and allocating code rate to each polarization code component code according to the proportion of the channel capacity of each polarization code component code in the target BIPCM system in the total channel capacity;
and calculating the number of information bits of each polarization code component code according to the code rate of the polarization code component code in the target BIPCM system.
Preferably, the first determining module is further configured to, in the case that the parameter of the polar code component code attribute includes a code rate of a polar code component code, determine the number of information bits of each polar code component code in the target BIPCM system according to the following steps:
determining the code rate of each polarization code component code in the target BIPCM system according to the mapping relation table;
and calculating the number of information bits of each polarization code component code according to the code rate of the polarization code component code in the target BIPCM system.
Preferably, the second determining module is further configured to:
according to a polarization sequence obtained in advance and the reliability of a bit sub-channel corresponding to a polarization code component code of the polarization sequence, determining the reliability sequencing of the polarization code component code with the code length of N to obtain a polarization code component code sequence, wherein the symbol length of the target BIPCM system is N;
according to the number K of information bits of each polarization code component code in the target BIPCM system j J =1,2, \8230;, m' determining the most reliable K from the code sequence of polarization code components j And obtaining an information bit set corresponding to each polarization code component code in the target BIPCM system by each polarization code component code.
It should be noted that the apparatus in this embodiment is an apparatus corresponding to the method shown in fig. 6, and the implementation manners in the above embodiments are all applicable to the embodiment of this apparatus, and the same technical effects can be achieved. The device provided by the embodiment of the present invention can implement all the method steps implemented by the method embodiment, and can achieve the same technical effects, and detailed descriptions of the same parts and beneficial effects as the method embodiment in this embodiment are not repeated herein.
Referring to fig. 13, an embodiment of the present invention provides a structural diagram of an apparatus for determining an information bit set, including: a processor 1301, a transceiver 1302, a memory 1303 and a bus interface, wherein:
in an embodiment of the present invention, the apparatus for determining the information bit set further includes: a program stored on the memory 1303 and executable on the processor 1301, the program, when executed by the processor 1301, performing the steps of:
giving a mapping relation table of a BIPCM scheme, wherein the mapping relation table comprises at least one mapping relation, and each mapping relation comprises at least one of target rate, modulation order and polarization code component code attribute parameters under different MCS indexes;
determining the code rate and/or the number of information bits of each polarization code component code in the target BIPCM system according to the mapping relation table;
and determining an information bit set corresponding to each polarized code component code according to the code rate and/or the number of information bits of each polarized code component code in the target BIPCM system, wherein the information bit set is used for representing the position set of the information bits.
It can be understood that, in the embodiment of the present invention, when being executed by the processor 1301, the computer program can implement the processes of the method embodiment shown in fig. 6, and can achieve the same technical effect, and in order to avoid repetition, the description is omitted here.
In fig. 13, the bus architecture may include any number of interconnected buses and bridges, with one or more processors represented by processor 1301 and various circuits of memory represented by memory 1303 linked together. The bus architecture may also link together various other circuits such as peripherals, voltage regulators, power management circuits, and the like, which are well known in the art, and therefore, will not be described any further herein. The bus interface provides an interface. The transceiver 1302 may be a plurality of elements including a transmitter and a receiver that provide a means for communicating with various other apparatus over a transmission medium.
The processor 1301 is responsible for managing the bus architecture and general processing, and the memory 1303 may store data used by the processor 1301 in performing operations.
It should be noted that the terminal in this embodiment is a device corresponding to the method shown in fig. 6, and the implementation manners in the above embodiments are all applied to the embodiment of the terminal, and the same technical effects can be achieved. In the device, the transceiver 1302 and the memory 1303, and the transceiver 1302 and the processor 1301 may be communicatively connected through a bus interface, the function of the processor 1301 may also be implemented by the transceiver 1302, and the function of the transceiver 1302 may also be implemented by the processor 1301. It should be noted that the apparatus provided in the embodiment of the present invention can implement all the method steps implemented by the method embodiment, and can achieve the same technical effects, and detailed descriptions of the same parts and beneficial effects as the method embodiment in this embodiment are omitted here.
In some embodiments of the invention, there is also provided a computer readable storage medium having a program stored thereon, which when executed by a processor, performs the steps of:
giving a mapping relation table of a BIPCM scheme, wherein the mapping relation table comprises at least one mapping relation, and each mapping relation comprises at least one of target rate, modulation order and polarization code component code attribute parameters under different MCS indexes;
determining the code rate and/or the number of information bits of each polarization code component code in the target BIPCM system according to the mapping relation table;
determining an information bit set corresponding to each polarization code component code according to the code rate and/or the number of information bits of each polarization code component code in the target BIPCM system, wherein the information bit set is used for representing a position set of information bits
When executed by the processor, the program can implement all implementation manners in the method for determining the information bit set of the BIPCM system, and can achieve the same technical effect, and is not repeated herein to avoid repetition.
Those of ordinary skill in the art will appreciate that the various illustrative elements and algorithm steps described in connection with the embodiments disclosed herein may be implemented as electronic hardware or combinations of computer software and electronic hardware. Whether such functionality is implemented as hardware or software depends upon the particular application and design constraints imposed on the technical solution. Skilled artisans may implement the described functionality in varying ways for each particular application, but such implementation decisions should not be interpreted as causing a departure from the scope of the present invention.
It can be clearly understood by those skilled in the art that, for convenience and simplicity of description, the specific working processes of the above-described systems, apparatuses and units may refer to the corresponding processes in the foregoing method embodiments, and are not described herein again.
In the embodiments provided in the present application, it should be understood that the disclosed apparatus and method may be implemented in other ways. For example, the above-described apparatus embodiments are merely illustrative, and for example, the division of the units is only one logical division, and other divisions may be realized in practice, for example, a plurality of units or components may be combined or integrated into another system, or some features may be omitted, or not executed. In addition, the shown or discussed mutual coupling or direct coupling or communication connection may be an indirect coupling or communication connection through some interfaces, devices or units, and may be in an electrical, mechanical or other form.
The units described as separate parts may or may not be physically separate, and parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the units can be selected according to actual needs to achieve the purpose of the solution of the embodiment of the present invention.
In addition, functional units in the embodiments of the present invention may be integrated into one processing unit, or each unit may exist alone physically, or two or more units are integrated into one unit.
The functions, if implemented in the form of software functional units and sold or used as a stand-alone product, may be stored in a computer readable storage medium. Based on such understanding, the technical solution of the present invention may be embodied in the form of a software product, which is stored in a storage medium and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device) to execute all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: various media capable of storing program codes, such as a U disk, a removable hard disk, a ROM, a RAM, a magnetic disk, or an optical disk.
The above description is only for the specific embodiments of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art can easily think of the changes or substitutions within the technical scope of the present invention, and shall cover the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.

Claims (17)

1. A mapping relation generating method for bit-interleaved polar coded modulation is characterized by comprising the following steps:
determining an equivalent channel of the BIPCM system according to the target spectrum efficiency of the BIPCM system;
calculating the limited code length channel capacity of each polarization code component code of the BIPCM system according to the equivalent channel;
and generating a mapping relation table of the BIPCM scheme according to the limited code length channel capacity of each polarization code component code of the BIPCM system, wherein the mapping relation table comprises at least one mapping relation, and each mapping relation comprises at least one of a target rate, a modulation order and a polarization code component code attribute parameter under different MCS indexes.
2. The method of claim 1, wherein the polar code component code property parameters comprise at least one of a finite code length channel capacity, a code rate, and a number of information bits of a polar code component code.
3. The method of claim 2, wherein determining the equivalent channel of the BIPCM system according to a target spectral efficiency of the BIPCM system comprises:
determining the target spectrum efficiency R of the BIPCM system according to the transmission parameters of the BIPCM system T = mR, wherein the code rate of the BIPCM system is R, and the symbol length is N;
determining an equivalent channel according to the target spectrum efficiency
Figure FDA0003087439380000011
So that
Figure FDA0003087439380000012
Wherein
Figure FDA0003087439380000013
Representing the equivalent channel
Figure FDA0003087439380000014
Limited code length channel capacity of, and
Figure FDA0003087439380000015
wherein the content of the first and second substances,
Figure FDA0003087439380000016
binary input equivalent channel representing the jth polarization code component code, ∈ j Representing equivalent channels
Figure FDA0003087439380000017
Error probability of (2), and target error probability when the BIPCM systemWhen the value is within the range of the epsilon,
Figure FDA0003087439380000018
Figure FDA0003087439380000019
wherein
Figure FDA00030874393800000110
Is an equivalent channel
Figure FDA00030874393800000111
Is a complementary Gaussian cumulative distribution function, V j Is an equivalent channel
Figure FDA00030874393800000112
A channel divergence of, and
Figure FDA0003087439380000021
where p (y | x) is an equivalent channel
Figure FDA0003087439380000022
Is a channel transition probability of, and
Figure FDA0003087439380000023
Figure FDA0003087439380000024
is an equivalent channel
Figure FDA0003087439380000025
The noise variance of the corresponding binary input additive white gaussian noise channel.
4. The method of claim 3, wherein the calculating the finite code length channel capacity of each polarization code component code of the BIPCM system according to the equivalent channel comprises:
will be equivalent channel
Figure FDA0003087439380000026
Splitting into m memoryless binary input channels
Figure FDA0003087439380000027
And is
Figure FDA0003087439380000028
Wherein the content of the first and second substances,
Figure FDA0003087439380000029
to represent
Figure FDA00030874393800000210
The probability of the transition of (a) is,
Figure FDA00030874393800000211
represent
Figure FDA00030874393800000212
The transition probability of (2);
in that
Figure FDA00030874393800000213
Adding (m ' -m) virtual channels with channel capacity of 0 to obtain m ' memoryless binary input channels, performing polarization transformation to obtain m ' binary equivalent input channels
Figure FDA00030874393800000214
Figure FDA00030874393800000215
And calculate each
Figure FDA00030874393800000216
Channel capacity of
Figure FDA00030874393800000217
According to
Figure FDA00030874393800000218
Channel capacity of
Figure FDA00030874393800000219
Code length N and error probability ∈ j Calculating
Figure FDA00030874393800000220
Limited code length channel capacity of
Figure FDA00030874393800000221
Wherein, the first and the second end of the pipe are connected with each other,
Figure FDA00030874393800000222
5. the method of claim 4, wherein generating the mapping relation table of the BIPCM scheme according to the limited code length channel capacity of each polarization code component code of the BIPCM system comprises:
and establishing a mapping relation of the BIPCM system according to the target spectrum efficiency of the BIPCM system and the limited code length channel capacity of each binary equivalent input channel, and distributing a corresponding index to each mapping relation to obtain a mapping relation table of the BIPCM scheme.
6. The method of claim 1, wherein the mapping relationship table comprises:
the target rate of the BIPCM system is the target spectral efficiency of the BIPCM system;
when the attribute parameter of the polarization code component code is the code rate of the polarization code component code, determining the code rate distributed by each polarization code component code according to the proportion of the limited code length channel capacity of each polarization code component code in the BIPCM system in the total channel capacity;
when the attribute parameter of the polarization code component code is the information bit number of the polarization code component code, determining the code rate distributed by each polarization code component code according to the proportion of the limited code length channel capacity of each polarization code component code in the BIPCM system in the total channel capacity, and determining the information bit number of each polarization code component code according to the code rate of the polarization code component code in the BIPCM system.
7. The method of claim 6, wherein the determining the number of information bits of each of the polar code component codes according to the code rates of the polar code component codes in the BIPCM system comprises:
for j = m' \ 8230;, 2,1, the number of information bits assigned to the jth polarization code component code, K j Comprises the following steps:
Figure FDA0003087439380000031
8. a method for determining a set of information bits for a BIPCM system, comprising:
determining a mapping relation table of a BIPCM scheme, wherein the mapping relation table comprises at least one mapping relation, and each mapping relation comprises at least one of target rate, modulation order and polarization code component code attribute parameters under different MCS indexes;
determining the code rate and/or the number of information bits of each polarization code component code in the target BIPCM system according to the mapping relation table;
and determining an information bit set corresponding to each polarized code component code according to the code rate and/or the number of the information bits of each polarized code component code in the target BIPCM system, wherein the information bit set is used for representing the position set of the information bits.
9. The method of claim 8, the determining a mapping relationship table for a BIPCM scheme comprising:
and generating a mapping relation table of the BIPCM scheme according to the limited code length channel capacity of each polarization code component code of the BIPCM system.
10. The method of claim 9, the limited code length channel capacity of the polar code component code is determined according to:
determining an equivalent channel of the BIPCM system according to the target spectrum efficiency of the BIPCM system;
and calculating the limited code length channel capacity of each polarization code component code of the BIPCM system according to the equivalent channel.
11. The method of claim 8, wherein the polar code component code property parameters comprise at least one of channel capacity, code rate and number of information bits of a polar code component code.
12. The method of claim 11, wherein in the case that the polar code component code attribute parameters include channel capacity of polar code component codes, the number of information bits of each polar code component code in the target BIPCM system is determined according to the following steps:
determining the channel capacity of each polarization code component code in the target BIPCM system according to the mapping relation table, and allocating code rate to each polarization code component code according to the proportion of the channel capacity of each polarization code component code in the target BIPCM system in the total channel capacity;
and calculating the number of information bits of each polarization code component code according to the code rate of the polarization code component code in the target BIPCM system.
13. The method of claim 10, wherein in the case that the polar code component code property parameter includes a code rate of a polar code component code, the number of information bits of each polar code component code in the target BIPCM system is determined according to the following steps:
determining the code rate of each polarization code component code in the target BIPCM system according to the mapping relation table;
and calculating the number of information bits of each polarization code component code according to the code rate of the polarization code component code in the target BIPCM system.
14. The method of claim 10, wherein the determining the information bit set corresponding to each component code of the polar code according to the code rate and/or the number of information bits of each component code of the polar code in the target BIPCM system comprises:
according to a polarization sequence obtained in advance and the reliability of a bit sub-channel corresponding to a polarization code component code of the polarization sequence, determining the reliability sequencing of the polarization code component code with the code length of N to obtain a polarization code component code sequence, wherein the symbol length of the target BIPCM system is N;
according to the number K of information bits of each polarization code component code in the target BIPCM system j J =1,2, \8230;, m' determining the most reliable K from the polarization code component code sequence j And obtaining an information bit set corresponding to each polarization code component code in the target BIPCM system by using the polarization code component codes.
15. An apparatus for generating mapping relation of bit interleaved polar coded modulation, comprising:
the device comprises a determining module, a receiving module and a transmitting module, wherein the determining module is used for determining an equivalent channel of the BIPCM system according to the target spectrum efficiency of the BIPCM system;
the calculating module is used for calculating the channel capacity of each polarization code component code of the BIPCM system according to the equivalent channel;
a generating module, configured to generate a mapping relationship table of a BIPCM scheme according to a channel capacity of each polarization code component code of the BIPCM system, where the mapping relationship table includes at least one mapping relationship, and each mapping relationship includes at least one of a target rate, a modulation order, and a polarization code component code attribute parameter under different MCS indexes.
16. An apparatus for determining a set of information bits of a BIPCM system, comprising:
a mapping table obtaining module, configured to determine a mapping relationship table of a BIPCM scheme, where the mapping relationship table includes at least one mapping relationship, and each mapping relationship includes at least one of a target rate, a modulation order, and a polar code component code attribute parameter under different MCS indexes;
the first determining module is used for determining the code rate and/or the number of information bits of each polarized code component code in the target BIPCM system according to the mapping relation table;
and the second determining module is used for determining an information bit set corresponding to each polarized code component code according to the code rate and/or the number of information bits of each polarized code component code in the target BIPCM system, wherein the information bit set is used for representing the position set of the information bits.
17. A computer-readable storage medium, characterized in that a computer program is stored on the computer-readable storage medium, which computer program, when being executed by a processor, carries out the steps of the method according to any one of claims 1 to 14.
CN202110585968.5A 2021-05-27 2021-05-27 BIPCM mapping relation generation method, information bit set determination method and equipment Pending CN115412198A (en)

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