CN110535805B - Additional information transmission method based on constellation rotation - Google Patents
Additional information transmission method based on constellation rotation Download PDFInfo
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- CN110535805B CN110535805B CN201910915237.5A CN201910915237A CN110535805B CN 110535805 B CN110535805 B CN 110535805B CN 201910915237 A CN201910915237 A CN 201910915237A CN 110535805 B CN110535805 B CN 110535805B
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0056—Systems characterized by the type of code used
- H04L1/0057—Block codes
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0056—Systems characterized by the type of code used
- H04L1/0061—Error detection codes
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/32—Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
- H04L27/34—Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
- H04L27/3405—Modifications of the signal space to increase the efficiency of transmission, e.g. reduction of the bit error rate, bandwidth, or average power
- H04L27/3444—Modifications of the signal space to increase the efficiency of transmission, e.g. reduction of the bit error rate, bandwidth, or average power by applying a certain rotation to regular constellations
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/32—Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
- H04L27/34—Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
- H04L27/345—Modifications of the signal space to allow the transmission of additional information
- H04L27/3461—Modifications of the signal space to allow the transmission of additional information in order to transmit a subchannel
- H04L27/3483—Modifications of the signal space to allow the transmission of additional information in order to transmit a subchannel using a modulation of the constellation points
Abstract
The invention discloses an extra information transmission method based on constellation rotation, which comprises the following steps: by a common lineThe block code c is used as basic code to jointly code the information sequence u with length k and the extra information sequence v with length l into the transmission code word c with length n; to comprise 2mThe two-dimensional constellation S of the constellation points is used as a modulation signal constellation and is used for modulating the transmission code word c with the length of n into a modulation signal sequence x with the length of n/m; for a received sequence y of length n, decoding of the extra information and the basic load information is performed. The invention relates to an extra information transmission method based on constellation rotation, which utilizes an extra information sequence to control the segmentation and rotation of a modulation signal under the condition of not additionally consuming energy and bandwidth and superposes the extra information sequence on a coded code word for transmission.
Description
Technical Field
The invention relates to the field of digital communication and digital storage, in particular to an extra information transmission method based on constellation rotation.
Background
The LDPC code is used as a coding transmission standard of a long code in 5G communication, and has a plurality of advantages, so that the LDPC code is widely applied to modern communication systems. In an actual communication system, in order to efficiently perform data scheduling and transmission, control information is transmitted in addition to data information. For the transmission of data information, the requirement is approaching channel capacity, mainly requiring high rates. The control information includes line signaling information, routing information, and the like, and is generally short, but requires high reliability.
In the prior art, in order to ensure higher reliability of the control message, a coding scheme with a lower code rate is generally used for independently transmitting the control message. Therefore, additional energy and bandwidth overhead is required to transmit such information. In order to reduce overhead, the existing related research mainly aims at ack (acknowledgement)/nack (negative acknowledgement) information fed back by a receiving section in a Hybrid Automatic repeat request (HARQ) system, and only provides a scheme for realizing additional transmission of 1-bit information by selecting different constellations or different coding schemes.
In a real communication system, signaling information includes line signaling information, routing information, and the like in addition to ACK/NACK information, and thus additional information of a plurality of bits needs to be additionally transmitted. The existing studied schemes cannot realize multi-bit additional information transmission, and the existing partial schemes cause additional consumption of energy and bandwidth due to separate coding transmission of signaling information.
Disclosure of Invention
The main objective of the present invention is to overcome the drawbacks and disadvantages of the prior art, and to provide a method for transmitting extra information based on constellation rotation, which superimposes the extra information and load information without extra energy and bandwidth consumption, and maps the extra information into a rotation angle to control a modulation signal for transmission of the extra information without additional system resource consumption.
In order to achieve the purpose, the invention adopts the following technical scheme:
the invention provides an extra information transmission method based on constellation rotation, which comprises the following steps:
(1) by a general linear block code
As basic code for converting information sequence with length kuAnd an extra information sequence of length lvJointly coded into transmission code words of length ncThe coding method comprises the following steps:
(1.1) first, an information sequence with a length of kuCode into linear block code codeword
(1.2) additional information sequence of length lvInputting a sequence selector R, outputting a sequence of length ns＝R(v)；
(1.3) sequencingsAnd linear block code codewordwSuperposition coding to obtain transmission code wordc；
(2) To comprise 2mTwo-dimensional constellation of individual constellation pointsSAs a constellation of the modulated signal, the modulation signal,for transmitting code words of length ncModulating into modulated signal sequence with length of n/mxAn extra information sequence of length lvObtaining a parameter set of the rotation angle through a constellation selectorH＝{h0，h1，...，hl-1And will modulate the signal sequencexParameter set of segmentation and rotation angleHMultiplying the elements in the sequence to obtain the coded transmission signal sequence
The coding method comprises the following steps:
(2.1) for two-dimensional constellationsSSelecting a rotation angleθE [0, 2 π), construct a setΘ＝{θ0＝0，θ1＝θ}；
(2.2) transmitting code word with length ncMapping to two-dimensional constellations via modulatorsSIn the method, a modulated signal sequence with the length of n/m is outputx；
(2.3) additional information sequence of length lvInputting the constellation selector and outputting the rotation angle parameter setH＝{h0，h1，...，hl-1}；
(2.4) sequencingxDividing the data into l sections with equal length, each section is d, and combining each section with a setHAre correspondingly multiplied to obtain a coded transmission signal sequence
(3) For received sequences of length nyThe decoding method of the extra information sequence comprises the following steps:
(3.1) first, a received sequence of length n is formedyDividing the k segment into l segments with equal length, wherein the length of each segment is d, and calculating F (theta, k) for the k segment, wherein theta belongs toΘ，k＝0，1，...，l-1；
(3.2) generating a candidate list of additional information sequences from each calculated F (theta, k)
Wherein the function is measured for the sequence
The sequences in list L satisfy the following relationship
(3.3) for each sequence in the candidate list L
Computing a feature metric function
And according to μ(i)Is optimally selected
Decoded output as extra information
(4) The decoding method of the basic load information comprises the following steps:
(4.1) slave receiving sequenceyIn the middle of removing
Interference of segment rotation and interference of superposition coding
Corresponding received sequence of basic linear block code for obtaining information about basic load
(4.2) Using basic Linear Block codes
Is to the decoder
Decoding the basic information sequence to output a decoded output of the basic information sequence
As a preferred technical solution, in step (1.1), the encoder of the basic load information sequence is any type of basic information with length kuEncoding into code words of length nwThe linear block code encoder of (1) adopts the encoding of low density parity check code or turbo code.
As a preferred technical solution, in step (1.2), the sequence selector R refers to an arbitrary type encoder with an input information length of l and an output information length of n, and the specific implementation method includes:
generating a 0-1 binary random matrix of size l n by a pseudorandom number generatorRWhen the input is a bit sequence of length lvThen the output iss＝vR；
The superposition coding is finite group addition of the sequences, and for the case of coding binary coding, the finite group addition is bit-by-bit exclusive-or operation.
As a preferred technical solution, in step (2.1), the indicated two-dimensional constellationSIs any type of two-dimensional modulation constellation including:
quadrature phase shift keying modulation and quadrature amplitude modulation,
selected angle of rotationθIs an angle that can be distinguished by a likelihood metric function from the case of no rotation.
As a preferred technical scheme, in the step (2.3), an extra information sequence with the length of l is usedvParameter set encoded into rotation angle by constellation selectorH＝{h0，h1，...，hl-1The method of (c) is as follows:
for extra information sequence of length lvAccording to the value of each bit thereofv iSequentially calculate
Wherein
Thereby obtaining a set of rotation parametersH。
As a preferred technical solution, in step (2.4), a coded transmission signal sequence is obtained
The method comprises the following steps:
will be sequencedxDivided into equal length segments, wherein each segment is
Each segment is sequenced
Parameter set related to rotation angleHElement h ofkMultiply to obtain
Wherein said multiplication refers to complex multiplication.
Finally multiplying each segment
Combining to obtain transmission signal sequence
As a preferred solution, in step (3.1), the function F (θ, k) is described as follows:
wherein sigma2Is the variance of complex Gaussian white noise w, ytFor receiving a sequenceySign at time t, siFor modulating constellations in two dimensionsSOne constellation point.
As a preferred technical scheme, in the step (3.2), the sequence metric function
Is an input as a sequence of extra information
The specific implementation method of the real-valued function of (1) includes:
for input extra information candidate sequence
Sequence metric function
Is output as
Wherein
Specific implementation methods for generating the candidate list L of extra information sequences from the calculated F (θ, k) of each segment include, but are not limited to:
constructing a fence network by using the F (theta, k) calculated by each segment and according to a sequence metric function
And searching the constructed fence network by using a list Viterbi decoding algorithm to obtain a candidate list L.
As a preferred technical solution, in the step (3.3), the characteristic metric function
Is an input as a received sequenceyAnd an additional information sequence v(i)The specific implementation method of the real-valued function of the linear block code C includes but is not limited to:
when LDPC code is selected, the characteristic metric function
The specific description of (A) is as follows:
(3.3.1) slave receive sequenceyMiddle elimination v(i)To obtain a corresponding received sequence of a basic linear block code related to the basic load information
(3.3.2) decoder pairs Using LDPC codes
Hard decision is carried out to obtain a sequence
Slave sequence
In removing v(i)Superimposed interference R (v)(i)) Obtaining a codewordwIs estimated sequence of
And to the sequence
Performing parity check, counting the check result to obtain mu(i)。
Compared with the prior art, the invention has the following advantages and beneficial effects:
1. the invention controls the rotation angle of the segmented modulation sequence to transmit each bit of the extra information sequence, is suitable for any constellation and has simple coding design.
2. According to the invention, the decoding of the extra information sequence is carried out, and the accuracy of decoding the extra information sequence is ensured by calculating the candidate list of the extra information sequence according to the metric information obtained by calculation.
3. The invention does not need to consume extra energy and bandwidth to transmit extra bit information based on constellation rotation.
Drawings
FIG. 1 is a block flow diagram of the encoding scheme of the present invention;
FIG. 2 is a diagram of frame error rate for transmitting additional information according to the present invention using LDPC coding and 16QAM modulation as an example;
FIG. 3 is a diagram illustrating the performance of the present invention in the case of transmitting additional information using LDPC coding and 16QAM modulation as an example;
FIG. 4 is a diagram of frame error rate for transmitting additional information using LDPC coding and QPSK modulation as an example in accordance with the present invention;
fig. 5 is a diagram illustrating the performance of the present invention for loading information in the case of transmitting additional information using LDPC coding and QPSK modulation as an example.
Detailed Description
The present invention will be described in further detail with reference to examples and drawings, but the present invention is not limited thereto.
Example 1
The method for transmitting extra information based on constellation rotation in this embodiment 1, as shown in fig. 1, includes the following steps:
(1) by a general linear block code
As basic code for converting information sequence with length kuAnd an extra information sequence of length lvJointly coded into transmission code words of length ncThe coding method comprises the following steps:
(1.1) first, the base load information sequence with length kuCode into linear block code codeword
The encoder of the basic load information sequence is any type of basic information of length kuEncoding into code words of length nwIncluding but not limited to:
low-density parity-check (LDPC) codes and turbo codes.
(1.2) additional information sequence of length lvInputting a sequence selector R, outputting a sequence of length ns＝R(v)；
The sequence selector R refers to any type of encoder with an input information length of l and an output information length of n, and the specific implementation method includes but is not limited to:
generating a 0-1 binary random matrix of size l n by a pseudorandom number generatorRWhen the input is a bit sequence of length lvThen the output iss＝vR；
The superposition coding is finite group addition of the sequences, and for the case of coding binary coding, the finite group addition is bit-by-bit exclusive-or operation.
(1.3) sequencingsAnd linear block code codewordwSuperposition coding to obtain transmission code wordc；
(2) To comprise 2mTwo-dimensional constellation of individual constellation pointsSAs modulation signal constellation for transmitting code words of length ncModulating into a modulated signal sequence of length mxAn extra information sequence of length lvObtaining a parameter set of the rotation angle through a constellation selectorH＝{h0，h1，...，hl-1And will modulate the signal sequencexParameter set of segmentation and rotation angleHMultiplying the elements in the sequence to obtain the coded transmission signal sequence
The coding method comprises the following steps:
(2.1) for two-dimensional constellationsSSelecting a rotation angleθE [0, 2 π), construct a setΘ＝{θ0＝0，θ1θ }; the two-dimensional constellationSIs any type of two-dimensional modulation constellation including, but not limited to:
quadrature Phase Shift Keying (QPSK) and Quadrature Amplitude Modulation (QAM).
Selected angle of rotationθIs an angle that can be distinguished by a likelihood metric function from the case of no rotation.
Rotation angle, exemplified by QPSK modulation signal constellationθCan be selected as
Or
(2.2) transmitting code word with length ncMapping to two-dimensional constellations via modulatorsSIn the method, a modulated signal sequence with the length of n/m is outputx；
(2.3) additional information sequence of length lvInputting the constellation selector and outputting the parameter set of the rotation angleH＝{h0，h1，...，hl-1}; the method comprises the following steps:
for extra information sequence of length lvAccording to the value v of each bit thereofiCalculating
Wherein
Thereby obtaining a parameter set of the rotation angleH。
(2.4) sequencingxDividing the data into l sections with equal length, each section is d, and collecting each section and parameter setHThe elements in (A) are multiplied correspondingly to obtain a coded transmission signal sequence
Obtaining a coded transmission signal sequence
The method comprises the following steps:
will be sequencedxDivided into equal length segments, wherein each segment is
Each segment is sequenced
And set of rotation parametersHElement h in (1)kMultiply to obtain
Wherein said multiplication refers to complex multiplication.
Finally multiplying each segment
Combining to obtain transmission signal sequence
(3) For received sequences of length nyThe decoding method of the extra information sequence comprises the following steps:
(3.1) first, a received sequence of length n is formedyDividing the k segment into l segments with equal length, wherein the length of each segment is d, and calculating F (theta, k) for the k segment, wherein theta belongs toΘ，k＝0，1，...，l-1；
The function F (θ, k) is described as follows:
wherein sigma2Is the variance, y, of complex Gaussian white noise omegatFor receiving a sequenceySign at time t, siFor modulating constellations in two dimensionsSOne constellation point.
(3.2) generating a candidate list of additional information sequences from each calculated F (theta, k)
Wherein the function is measured for the sequence
The sequences in list L satisfy the following relationship
The sequence metric function
Is an input as a sequence of extra information
The specific implementation method of the real-valued function of (1) includes:
for input extra information candidate sequence
Sequence metric function
Is output as
Wherein
Specific implementation methods for generating the candidate list L of extra information sequences from the calculated F (θ, k) of each segment include, but are not limited to:
constructing a fence network by using the F (theta, k) calculated by each segment and according to a sequence metric function
And searching the constructed fence network by using a list Viterbi decoding algorithm to obtain a candidate list L.
(3.3) for each sequence in the candidate list L
Computing a feature metric function
And according to μ(i)Is optimally selected
Decoded output as extra information
The feature metric function
Is an input as a received sequenceyAnd an additional information sequence v(i)The specific implementation method of the real-valued function of the linear block code C includes but is not limited to:
taking LDPC code as an example, the characteristic metric function
The specific description of (A) is as follows:
(3.3.1) slave receive sequenceyMiddle elimination v(i)To obtain a corresponding received sequence of a basic linear block code related to the basic load information
(3.3.2) decoder pairs Using LDPC codes
Hard decision is carried out to obtain a sequence
Slave sequence
In removing v(i)Superimposed interference R (v)(i)) Obtaining a codewordwIs estimated sequence of
And to the sequence
Performing parity check, counting the check result to obtain mu(i)
(4) The decoding method of the basic load information comprises the following steps:
(4.1) slave receiving sequenceyIn the middle of removing
Interference of segment rotation and interference of superposition coding
Corresponding received sequence of basic linear block code for obtaining information about basic load
(4.2) Using basic Linear Block codes
Is to the decoder
Decoding the basic information sequence to output a decoded output of the basic information sequence
By the constellation rotation-based extra information transmission method in this embodiment 1, the extra information sequence to be transmitted is encoded and then the segmented rotation of the modulation signal is controlled to perform transmission without extra energy consumption and bandwidth consumption.
Example 2
In this embodiment 2, an LDPC code with a code length n of 8064 and a code rate r of 0.5 is used, and a constellation modulation manner is Quadrature Phase Shift Keying (QPSK), so as to illustrate the effectiveness of the extra information transmission method based on constellation rotation provided by the present invention. Taking the transmission length l as 16 and the extra information sequence as an example, the constellation rotation angle is selected as
CandidatesThe size I of the list is 1024, and the specific steps are as follows:
firstly, the basic load information with the length of k 4032 is recordeduEncoder for feeding LDPC code to obtain code word with length of nwAre combined with each otherwAnd an additional information sequence of length l-24vPerforming superposition coding to obtain a sequencecTo the sequencecQPSK modulation is carried out to obtain a modulation signal sequence with the length of m 4032x；
Additional sequencesvSending the data into a constellation selector to obtain a parameter set of the rotation angleHTo modulate a signal sequencexDividing the data into l-24 segments with length d-168, and sequencing each segment with the parameter of the rotation angleHMultiplying the elements in the sequence table, sending the multiplied elements to a channel, and receiving a receiving end to receive a sequenceyAnd decoding is carried out. Monte Carlo simulation experiments were performed, and as can be seen from FIGS. 2 and 3, with the scheme of the present invention, an extra information sequence with length l 24 can be transmitted without affecting the performance of LDPC codesv。
Example 3
In this embodiment 3, an LDPC code with a code length n of 8064 and a code rate r of 0.5 is used, and a constellation Modulation manner is Quadrature Amplitude Modulation (16-QAM) with 16 symbols, which illustrates the effectiveness of the extra information transmission method based on constellation rotation provided in the present invention. Taking the transmission length l as 16 and the extra information sequence as an example, the constellation rotation angle is selected as
The size I of the candidate list is 32, and the specific steps are as follows:
firstly, the basic load information with the length of k 4032 is recordeduEncoder for feeding LDPC code to obtain code word with length of nwAre combined with each otherwAnd an additional information sequence of length l-16vPerforming superposition coding to obtain a sequencecTo the sequencecCarrying out 16QAM modulation to obtain a modulation signal sequence with the length of m-2016x；
Additional sequencesvSending the data into a constellation selector to obtain a parameter set of the rotation angleHTo modulate a signal sequencexDividing into 16 segments of length d 126 and connecting each segment to the rotation angleParameter set of degreesHMultiplying the elements in the sequence table, sending the multiplied elements to a channel, and receiving a receiving end to receive a sequenceyAnd decoding is carried out. Monte Carlo simulation experiments are carried out, and as can be seen from FIG. 4 and FIG. 5, by using the scheme of the present invention, an extra information sequence with the length of l-16 can be transmitted without affecting the performance of LDPC codev。
The above embodiments are preferred embodiments of the present invention, but the present invention is not limited to the above embodiments, and any other changes, modifications, substitutions, combinations, and simplifications which do not depart from the spirit and principle of the present invention should be construed as equivalents thereof, and all such changes, modifications, substitutions, combinations, and simplifications are intended to be included in the scope of the present invention.
Claims (7)
1. An extra information transmission method based on constellation rotation is characterized by comprising the following steps:
(1) by a general linear block code
As basic code for converting information sequence with length kuAnd an extra information sequence of length lvJointly coded into transmission code words of length ncThe coding method comprises the following steps:
(1.1) first, an information sequence with a length of kuCode into linear block code codeword
(1.2) additional information sequence of length lvInputting a sequence selector R, outputting a sequence of length ns＝R(v)；
(1.3) sequencingsAnd linear block code codewordwSuperposition coding to obtain transmission code wordc；
(2) To comprise 2mTwo-dimensional constellation of individual constellation pointsSAs modulation signal constellation for transmitting code words of length ncModulating into modulated signal sequence with length of n/mxAn extra information sequence of length lvThrough the constellation selector, get the rotationParameter set of turning angleH＝{h0，h1，...，hl-1And will modulate the signal sequencexParameter set of segmentation and rotation angleHMultiplying the elements in the sequence to obtain the coded transmission signal sequence
The coding method comprises the following steps:
(2.1) for two-dimensional constellationsSSelecting a rotation angleθE [0, 2 π), construct a setΘ＝{θ0＝0，θ1＝θ}；
(2.2) transmitting code word with length ncMapping to two-dimensional constellations via modulatorsSIn the method, a modulated signal sequence with the length of n/m is outputx；
(2.3) additional information sequence of length lvInputting the constellation selector and outputting the rotation angle parameter setH＝{h0，h1，...，hl-1}；
(2.4) sequencingxDividing the sequence into l segments with equal length, each segment is d, and combining each segment with the sequencehAre correspondingly multiplied to obtain a coded transmission signal sequence
(3) For received sequences of length nyThe decoding method of the extra information sequence comprises the following steps:
(3.1) first, a received sequence of length n is formedyDividing the k segment into l segments with equal length, wherein the length of each segment is d, and calculating F (theta, k) for the k segment, wherein theta belongs toΘ，k＝0，1，...，l-1；
The function F (θ, k) is described as follows:
wherein sigma2Is the variance, y, of complex Gaussian white noise omegatFor receiving a sequenceyAt time tSymbol of (a), siFor modulating constellations in two dimensionsSOne constellation point;
(3.2) generating a candidate list of additional information sequences from each calculated F (theta, k)
Wherein the function is measured for the sequence
The sequences in list L satisfy the following relationship
The sequence metric function
Is an input as a candidate sequence of extra information
The specific implementation method of the real-valued function of (1) includes:
for input extra information candidate sequence
Sequence metric function
Is output as
Wherein
(3.3) for each sequence in the candidate list L
Computing a feature metric function
And according to μ(i)Is optimally selected
Decoded output as extra information
The feature metric function
Is an input as a received sequenceyAnd additional information candidate sequences
The specific implementation method of the real-valued function of the linear block code C includes:
when LDPC code is selected, the characteristic metric function
The specific description of (A) is as follows:
(3.3.1) slave receive sequenceyMiddle elimination
To obtain a corresponding received sequence of a basic linear block code related to the basic load information
(3.3.2) decoder pairs Using LDPC codes
Hard decision is carried out to obtain a sequence
Slave sequence
In the middle of removing
Superimposed interference of
Obtaining a codewordwIs estimated sequence of
And to the sequence
Performing parity check, counting the check result to obtain mu(i)；
(4) The decoding method of the basic load information comprises the following steps:
(4.1) slave receiving sequenceyIn the middle of removing
Interference of segment rotation and interference of superposition coding
Corresponding received sequence of basic linear block code for obtaining information about basic load
；
(4.2) Using basic Linear Block codes
Is to the decoderCarry out decodingOutputting the information sequenceuIs decoded and output
2. Method for transmitting extra information based on constellation rotation according to claim 1, characterized in that in step (1.1), the information sequenceuIs any type of basic information of length kuEncoding into code words of length nwThe linear block code encoder of (1) adopts the encoding of low density parity check code or turbo code.
3. The method for transmitting extra information based on constellation rotation according to claim 1, wherein in step (1.2), the sequence selector R refers to any type of encoder with input information length of l and output information length of n, and the specific implementation method includes:
generating a 0-1 binary random matrix of size l n by a pseudorandom number generatorRWhen the input is a bit sequence of length lvThen the output iss＝vR；
The superposition coding is finite group addition of the sequences, and for the case of coding binary coding, the finite group addition is bit-by-bit exclusive-or operation.
4. The method for transmitting extra information based on constellation rotation according to claim 1, wherein in step (2.1), the two-dimensional constellation is pointed toSIs any type of two-dimensional modulation constellation including:
quadrature phase shift keying modulation and quadrature amplitude modulation,
selected angle of rotationθIs an angle that can be distinguished by a likelihood metric function from the case of no rotation.
5. Method for transmitting extra information based on constellation rotation according to claim 1, characterized in that in step (2.3), extra information sequence with length l is transmittedvEncoded into a rotation by a constellation selectorParameter setH＝{h0，h1，...，hl-1The method of (c) is as follows:
for extra information sequence of length lvAccording to the value of each bit thereofv iSequentially calculate
Wherein
Thereby obtaining a parameter set of the rotation angleH。
6. Method for transmitting extra information based on constellation rotation according to claim 1, characterized in that in step (2.4), a coded transmission signal sequence is obtained
The method comprises the following steps:
will be sequencedxDivided into equal length segments, wherein each segment is
Each segment is sequenced
And a sequence of rotation parametershElement h ofkMultiply to obtain
Wherein said multiplication is complex multiplication;
finally multiplying each segment
Combining to obtain transmission signal sequence
7. The method for transmitting extra information based on constellation rotation according to claim 1, wherein in step (3.2), the specific implementation method for generating the candidate list L of extra information sequences from the calculated F (θ, k) of each segment includes:
constructing a fence network by using the F (theta, k) calculated by each segment and according to a sequence metric function
And searching the constructed fence network by using a list Viterbi decoding algorithm to obtain a candidate list L.
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