CN110535560A - A kind of polarization code combines coding and interpretation method - Google Patents
A kind of polarization code combines coding and interpretation method Download PDFInfo
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- CN110535560A CN110535560A CN201910716802.5A CN201910716802A CN110535560A CN 110535560 A CN110535560 A CN 110535560A CN 201910716802 A CN201910716802 A CN 201910716802A CN 110535560 A CN110535560 A CN 110535560A
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
- H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
- H03M13/09—Error detection only, e.g. using cyclic redundancy check [CRC] codes or single parity bit
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
- H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
- H03M13/13—Linear codes
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0056—Systems characterized by the type of code used
- H04L1/0061—Error detection codes
- H04L1/0063—Single parity check
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Abstract
The invention discloses polarization codes to combine coding and interpretation method, and coding sets channel capacity the following steps are included: S11；S12 chooses channel, channel capacity is arranged from high to low；S13, information sequence comes foremost, then carries out even-odd check, check information sequence；S14 carries out cyclic redundancy check, obtains cyclic redundancy check as a result, for enhanced even-odd check result after information sequence, last is the check results of cyclic redundancy by information sequence preceding, is connected together as transmitting sequence；S15, after carrying out polarization code coding, the code word of generation is transmitted.The invention proposes the coding and decoding methods of the polarization code of enhanced parity check sum CRC auxiliary, and data are relatively reliable, and the bit error rate is low.
Description
Technical field
The invention belongs to the communications field, it is related to a kind of polarization code and combines coding and interpretation method.
Background technique
Channel coding is mainly to add redundancy to the information of transmission, increases the anti-interference ability of information, improves information transmission
Reliability.In message transmitting procedure, due to the interference by noise, it is low to cause information transmission reliability.Shannon was once explained
Stated a theory: assuming that one has the channel of noise, channel capacity C, information is transmitted with speed R, as R < C
It waits, then there are a kind of coding techniques, and the received mistake in receiving end to be made to reach any small numerical value, it would theoretically be possible to reach nothing
Mistake transmission.
Polarization code is a kind of channel coding method that E.Arikan is proposed.Polarization code is theoretically proved to can achieve perfume (or spice)
The agriculture limit, thus cause the concern and research of numerous scholars.Code length is longer, and the polarization phenomena of polarization code are better, but in code length
In time-limited situation, there is the channel not by perfact polarization, the decoding performance of polarization code is lower than Turbo code and LDPC code.Pole
The SC decoding accuracy rate for changing code is not good enough, and decoding delay is big, after there is scholar to propose serial to eliminate list (SCL) decoding and calculate
Method, this method saves a plurality of possible path to reduce the probability that correct path is missed, to improve the accuracy of decoding.When
When the width L of list is bigger, Block Error Rate will approach the Block Error Rate with maximum-likelihood decoding, but in computation complexity
With very big difficulty is increased on space complexity.There is scholar to propose the interpretation method of cyclic redundancy check (CRC) auxiliary afterwards,
The algorithm selects in path candidate can be by the coding sequence of CRC check as final sequence, if do not met all
If, using the maximum sequence of likelihood probability as coding sequence.When using the SCL decoding algorithm of CRC auxiliary, it is compared to it
The SCL method of preceding SC interpretation method and SCL interpretation method, CRC auxiliary reduces the bit error rate again.
It when carrying out CRC check, needs to generate generator matrix and check matrix, when code length is longer, need for depositing
The space for storing up matrix is bigger,, will if auxiliary examination sequence can be simply obtained when generating auxiliary examination
Reduce number and the time of operation, and the bit error rate also may remain in it is certain within the scope of.
Summary of the invention
It is calculated to solve the above problems, being decoded the present invention is based on the polarization code of the segmentation parity check sum CRC auxiliary of polarization code
Method and traditional CRC auxiliary SCL decoding, propose the coding and decoding method of the polarization code of enhanced parity check sum CRC auxiliary, pass
Transmission of data is reliable, and the bit error rate is low.
To achieve the above object, the technical scheme is that polarization code combination coding method, comprising the following steps:
S11 sets channel capacity, if the code length of polarization code is N, the check bit of code rate R, CRC auxiliary is C1, enhancing
The digit of type even-odd check be C2, total information bit bit for K=k+C1+C2 wherein, k=NR；
S12 chooses channel, channel capacity is arranged from high to low, information of the K channels as transmission before choosing
Position, remaining, which is used as, freezes position；
S13, information sequence comes foremost, then carries out even-odd check, check information sequence, by " 1 " in information sequence
Number comes out, and the operation that rems, divisor 2 are carried out to itC2In maximum prime number, obtained remainder is converted to binary system,
It places it in after information sequence；
S14 carries out cyclic redundancy check, obtains cyclic redundancy check as a result, by information sequence in preceding, enhanced odd even school
Result is tested after information sequence, last is the check results of cyclic redundancy, is connected together as transmission sequence；
S15, after carrying out polarization code coding, the code word of generation is transmitted.
Preferably, the even-odd check is enhanced.
Based on above-mentioned purpose, the present invention also provides a kind of polarization code combination interpretation methods, comprising the following steps:
S21 carries out SCL decoding to sequence is received, and it is L_max item, current storing path that maximum storing path, which is arranged,
It is 2 times originally by its Path extension and is less than or equal to L_ when not finding the coding sequence met in L paths for L item
Max paths；
It after S22, SCL are decoded, is verified, is exported.
Preferably, the sequence exported in the S22 includes the following steps,
S31 exports the road when an only paths pass through cyclic redundancy check and enhanced even-odd check
Diameter；
S32 exports likelihood in these paths when there is mulitpath by cyclic redundancy check and enhanced even-odd check
One of maximum probability；
S33, if current path without simultaneously can be by the path of two kinds of methods of calibration when, by its Path extension be original
First 2 times, and it is less than the maximum storing path L_max of setting, then carry out SCL decoding；
S34, when extensions path has had reached maximum value, still not over cyclic redundancy check in the path of preservation
When with enhanced even-odd check, output is passed through by that path of cyclic redundancy check if any mulitpath, selects likelihood general
The maximum output of rate；
S35 exports likelihood probability in these paths maximum one if nothing.
The present invention at least has the following beneficial effects:
1, it is decoded compared to SC, using the enhanced even-odd check+CRC check of SCL+, being compared to SCL+CRC verification can be with
Obtain the better bit error rate.When receiving end receives coded sequence, SCL decoding is carried out, when storing path is bigger, correctly
The probability of coding sequence in the paths is bigger.CRC+ enhanced even-odd check is used during verification, while meeting two kinds
The decoding that the decoding of verification mode could become last can not find qualified code sequence as a result, working as in the path stored, then
Extensions path is 2 times of current storing path, is then verified, if path has spread over maximum value, is not still had again
Path meets the enhanced even-odd check of CRC+, then selection can be by the path of CRC auxiliary examination method, if may not be used in path
To pass through the path of CRC auxiliary examination, then select the maximum path of likelihood probability as coding sequence；
2, the method for calibration for the enhanced even-odd check added is simple, counts the number of " 1 " in information bit in polarization code, will
1 number summation, and remainder is obtained divided by divisor for dividend, after remainder is placed on information bit, done when to decode
Verification；Among these, divisor 2xIn maximum prime number, x is the digit of check code, such as: x 4, then divisor is maximum in 16
Prime number, then divisor be 13, coding when, be more readily available check bit, decoding when, the sequence in path is verified
When, it is also easy to calculate.
Detailed description of the invention
Fig. 1 is the step flow chart of the polarization code combination coding method of the embodiment of the present invention；
Fig. 2 is the step flow chart of the polarization code combination interpretation method of the embodiment of the present invention；
Fig. 3 is the output flow chart of steps of the polarization code combination interpretation method of the embodiment of the present invention.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to the accompanying drawings and embodiments, right
The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and
It is not used in the restriction present invention.
On the contrary, the present invention covers any substitution done on the essence and scope of the present invention being defined by the claims, repairs
Change, equivalent method and scheme.Further, in order to make the public have a better understanding the present invention, below to of the invention thin
It is detailed to describe some specific detail sections in section description.Part without these details for a person skilled in the art
The present invention can also be understood completely in description.
It is the step flow chart of the polarization code combination coding method of the embodiment of the present invention referring to Fig. 1, comprising the following steps:
S11 sets channel capacity, if the code length of polarization code is N, the check bit of code rate R, CRC auxiliary is C1, enhancing
The digit of type even-odd check be C2, total information bit bit for K=k+C1+C2 wherein, k=NR；
S12 chooses channel, channel capacity is arranged from high to low, information of the K channels as transmission before choosing
Position, remaining, which is used as, freezes position；
S13, information sequence comes foremost, then carries out even-odd check, check information sequence, by " 1 " in information sequence
Number comes out, and the operation that rems, divisor 2 are carried out to itC2In maximum prime number, obtained remainder is converted to binary system,
It places it in after information sequence；
S14 carries out cyclic redundancy check, obtains cyclic redundancy check as a result, by information sequence in preceding, enhanced odd even school
Result is tested after information sequence, last is the check results of cyclic redundancy, is connected together as transmission sequence；
S15, after carrying out polarization code coding, the code word of generation is transmitted.
Above-mentioned even-odd check is enhanced.
Based on above-mentioned purpose, the present invention also provides a kind of polarization code combination interpretation methods, comprising the following steps:
S21 carries out SCL decoding to sequence is received, and it is L_max item, current storing path that maximum storing path, which is arranged,
It is 2 times originally by its Path extension and is less than or equal to L_ when not finding the coding sequence met in L paths for L item
Max paths；
It after S22, SCL are decoded, is verified, is exported.
The sequence exported in S22 includes the following steps,
S31 exports the road when an only paths pass through cyclic redundancy check and enhanced even-odd check
Diameter；
S32 exports likelihood in these paths when there is mulitpath by cyclic redundancy check and enhanced even-odd check
One of maximum probability；
S33, if current path without simultaneously can be by the path of two kinds of methods of calibration when, by its Path extension be original
First 2 times, and it is less than the maximum storing path L_max of setting, then carry out SCL decoding；
S34, when extensions path has had reached maximum value, still not over cyclic redundancy check in the path of preservation
When with enhanced even-odd check, output is passed through by that path of cyclic redundancy check if any mulitpath, selects likelihood general
The maximum output of rate；
S35 exports likelihood probability in these paths maximum one if nothing.
In specific embodiment, according to above-mentioned coding and decoding procedure, in S11, when the code length of polarization code is 1024 bits
When, the information digit of transmission is 520, and effective information bit number is 508 bits, and the digit of cyclic redundancy check is 8, enhancing
The digit of type even-odd check is 4, and code rate R is (520-8-4)/1024；It, first will letter when carrying out channel selection in S12
Road sorts (it is minimum to be ordered into channel capacity from channel capacity highest), the channel for selecting preceding 520 channels to transmit as information；
In S13, information bit is first subjected to enhanced even-odd check, " 1 " in sequence is counted, and the behaviour that rems is carried out to it
Make, divisor is maximum prime number 13 in 24, and obtained remainder is converted to after binary system is placed on information sequence, S14 is carried out
The sequence that information bit and enhanced even-odd check are obtained carries out cyclic redundancy check, obtained check value is placed on enhanced
After verification.When decoding, S21, maximum storing path is set as L=64 item, and current storing path is set as 8.Information
Sequence is transmitted after coding, then the sequence after receiving end receives coding is decoded, when decoding current guarantor
Depositing path is 8, and S22, SCL verify the path of preservation after decoding, S31-32, if passing through two kinds of verification sides simultaneously
Rule is output it as coding sequence, S33, otherwise by 2 times that Path extension is current path, and is less than or equal to maximum save
Path verifies again, if S34 has reached the maximum the number of path of storing path, and passes through two kinds of verification modes without path, then
Select the output sequence that can be decoded by cyclic redundancy check and the maximum path of likelihood probability as this, S35, if looking for not
To can be then defeated as this coding sequence using the maximum coding sequence of likelihood probability by the coding sequence of cyclic redundancy
Out.
Still another embodiment, S11, after obtaining prime information sequence, according to the number of information sequence, number 508,
The digit (8) of cyclic redundancy check and the digit (4) of enhanced even-odd check, the number for obtaining information needed position are
520；S12, when channel selection by calculating after the obtained size of channel capacity be ranked up and (arrange from high to low
Sequence), preceding 520 channels are picked out and are transmitted as information bit, remaining channel is being encoded and translated as position transmission is freezed
When code, freezes position and be defaulted as " 0 "；S13 first carries out enhanced even-odd check, counts to " 1 " in information sequence,
And the operation that rems is carried out to it, divisor is maximum prime number 13 in 24, and obtained remainder is placed on after information bit；S14,
Cyclic redundancy check is carried out to the sequence of information sequence and enhanced even-odd check, obtained check results insert enhanced odd even
Verify subsequent position；Obtained information sequence is placed in information bit, is encoded by S15, the code word sequence obtained after coding
Column are transmitted.Since there is interference in space, and this interference has uncertainty, with becoming larger for signal-to-noise ratio, error code
Rate declines therewith.In decoding, S21 receives code word in receiving end, code word advance successive elimination list (SCL) side received
Method is decoded, and it is 32 that its storing path, which is arranged,；S22, after decoding, by this 32 paths according to the size of likelihood probability
Be ranked up, first by probability it is big come front, the last item is that probability is the smallest.Specifically, path probability is selected first
Big path is verified, and then carries out the lesser path verification of likelihood probability again.When verification, CRC check is first carried out, if
After the joint sequence of the information bit and cyclic redundancy check position that arrive is multiplied with check matrix, obtained result is 0, then it is by following
The verification (retaining first sequence by cyclic redundancy check) of ring redundancy, then carries out testing for enhanced even-odd check again
Card, if obtained volume result is not 0, carries out the verification in next path.Passing through cyclic redundancy check and then is being increased
The number of " 1 " in the joint sequence of strong type even-odd check, statistical information position and cyclic redundancy check position, carries out complementation behaviour to it
Make, divisor 24In maximum prime number 13, obtain remainder, by this remainder, obtained parity values compare after decoding,
If meeting, the value that the output of this paths is decoded as this carries out the verification of next paths if not meeting.If
All paths had all been verified, can all have been verified simultaneously by two kinds without a paths, then by Path extension
It is 2 times of current path, and is less than or equal to maximum storing path, verifies again, carry out path again if without the path met
Extension passes through two kinds of schools when reaching the number of path of maximum storing path, and without path until reaching maximum storing path value
Proved recipe formula, then select the output sequence that can be decoded by cyclic redundancy check and the maximum path of likelihood probability as this
Column, can be by the coding sequence of cyclic redundancy, using the maximum coding sequence of likelihood probability translating as this if can not find
Code sequence output.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all in essence of the invention
Made any modifications, equivalent replacements, and improvements etc., should all be included in the protection scope of the present invention within mind and principle.
Claims (4)
1. a kind of polarization code combination coding method, which comprises the following steps:
S11 sets channel capacity, if the code length of polarization code is N, the check bit of code rate R, CRC auxiliary is C1, enhanced surprise
The digit of even parity check be C2, total information bit bit for K=k+C1+C2 wherein, k=NR；
S12 chooses channel, channel capacity is arranged from high to low, information bit of the K channels as transmission before choosing,
Remaining be used as freezes position；
S13, information sequence comes foremost, then carries out even-odd check, check information sequence, by the number of " 1 " in information sequence
It comes out, the operation that rems, divisor 2 is carried out to itC2In maximum prime number, obtained remainder is converted to binary system, by it
It is placed on after information sequence；
S14 carries out cyclic redundancy check, obtains cyclic redundancy check as a result, by information sequence in preceding, enhanced even-odd check knot
For fruit after information sequence, last is the check results of cyclic redundancy, is connected together as transmission sequence；
S15, after carrying out polarization code coding, the code word of generation is transmitted.
2. coding method according to claim 1, which is characterized in that the even-odd check is enhanced.
3. a kind of polarization code combination interpretation method, which comprises the following steps:
S21 carries out SCL decoding to sequence is received, and it is L_max item that maximum storing path, which is arranged, and current storing path is L
Its Path extension is 2 times originally and is less than or equal to L_max by item when not finding the coding sequence met in L paths
Paths；
It after S22, SCL are decoded, is verified, is exported.
4. interpretation method according to claim 3, which is characterized in that the sequence exported in the S22 includes the following steps,
S31 exports the path when an only paths pass through cyclic redundancy check and enhanced even-odd check；
S32 exports likelihood probability in these paths when there is mulitpath by cyclic redundancy check and enhanced even-odd check
Maximum one；
S33, if current path without simultaneously can be by the path of two kinds of methods of calibration when, be original by its Path extension
2 times, and it is less than the maximum storing path L_max of setting, then carry out SCL decoding；
S34, when extensions path has had reached maximum value, still not over cyclic redundancy check and increasing in the path of preservation
When strong type even-odd check, output is passed through by that path of cyclic redundancy check if any mulitpath, selects likelihood probability most
A big output；
S35 exports likelihood probability in these paths maximum one if nothing.
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| CN114448448A (en) * | 2022-01-24 | 2022-05-06 | 电子科技大学 | Polarization code encoding and decoding method based on CA-SCL |
| CN115037415A (en) * | 2022-05-31 | 2022-09-09 | 江苏屹信航天科技有限公司 | Error correction coding method, device and terminal based on CRC |
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