CN112737735A - Polarization coding method and system of visible light communication channel based on polarization weight - Google Patents
Polarization coding method and system of visible light communication channel based on polarization weight Download PDFInfo
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Abstract
The invention discloses a polarization coding method and a system of a visible light communication channel based on polarization weight, wherein the method comprises the following steps: constructing a visible light communication channel model and setting a modulation mode; calculating the polarization weights of all the sub-channels; constructing an information bit set and a frozen bit set according to the calculated polarization weights of all the sub-channels; obtaining a generating matrix according to the information bit set; and mapping the information sequence into a coding sequence to complete the coding. The system comprises: the device comprises a channel construction module, a channel polarization weight calculation module, a polarization weight sorting module, a matrix generation module and a coding mapping module. By using the invention, the calculation complexity of the polarization code coding in the visible light communication is reduced, and the coding can be completed by predicting the reliability of the channel under the condition of unknown interference of the visible light communication channel. The polarization coding method and the polarization coding system of the visible light communication channel based on the polarization weight can be widely applied to the field of communication systems.
Description
Technical Field
The present invention relates to the field of communication systems, and in particular, to a polarization coding method and system for a visible light communication channel based on polarization weights.
Background
The visible light communication technology has attracted attention worldwide with the advantages of high resource utilization rate, high transmission rate, safety, environmental protection, no need of spectrum authentication and the like. However, in general, the visible light communication is susceptible to the occurrence of error propagation due to the interference of multipath effect and external factors, channel coding is a key communication error correction method, and can detect and correct errors generated in the data exchange process, improve coding gain, and reduce bit error rate, thereby ensuring the actual requirement of accurate transmission of visible light communication information.
Disclosure of Invention
In order to solve the above technical problems, an object of the present invention is to provide a polarization coding method and system for a visible light communication channel based on polarization weights, which reduces the computational complexity of polarization code coding in visible light communication, and can predict the reliability of the channel to complete coding without knowing the interference of the visible light communication channel.
The first technical scheme adopted by the invention is as follows: the polarization coding method of the visible light communication channel based on the polarization weight comprises the following steps:
constructing a visible light communication channel model and setting a modulation mode;
expanding the serial numbers of all the sub-channels of the polarization code according to a binary counting method, and calculating the polarization weight of all the sub-channels;
constructing an information bit set and a frozen bit set according to the calculated polarization weights of all the sub-channels and a preset rule;
obtaining a generating matrix according to the information bit set;
and linearly mapping the information sequence into a coding sequence according to the generating matrix to complete the polarization code coding in the visible light communication channel.
Further, still include:
the coding sequence is transmitted in a visible light channel, is received by a receiving end after being interfered by noise, and is decoded based on a CA-SCL decoding algorithm to obtain a decoding result;
and carrying out error rate analysis according to the decoding result.
Further, the expression of the visible light communication channel model is as follows:
y＝hx+n
wherein h represents the instantaneous gain of the visible light channel model, n represents the mean value as zero, and the variance as σ2And h and n are independent of each other, x represents a coding sequence, and y represents a message sequence received by a receiving end.
Further, setting the code length N of the polarization code, and calculating N as log2N, the polarization weight of the ith subchannel is defined as:
in the above formula, B represents the serial number of a certain sub-channel, and B is represented as (B) by binary countingn-1,bn-2,…,b0) Wherein b isjBelongs to {0,1}, j is more than or equal to 0 and less than or equal to n-1, j represents the serial number of the binary sequence, and the value of beta is arbitrary.
Further, set up
The expression for the polarization weight of the ith subchannel is as follows:
further, the step of constructing an information bit set and a frozen bit set according to the calculated polarization weights of all sub-channels and a preset rule specifically includes:
arranging the calculated polarization weights of all the sub-channels in an ascending order;
k sub-channels with the largest polarization weight are selected as an information bit set, K is the number of information bits, and the rest sub-channels are used as a freezing bit set.
Further, the expression of the generator matrix is as follows:
wherein,
represents the kronecker product, BNIs a bit inversion matrix.
Further, the linearly mapping the information sequence into the code sequence according to the generator matrix specifically includes linearly mapping an information sequence with a length of K into a code sequence with a length of N, where the expression is as follows:
wherein,
indicating the information sequence to be transmitted by the transmitting end,
denotes the coding sequence, GNThe representation is a generating matrix that is represented,
represents the kronecker product, BNIs a bit inversion matrix.
The second technical scheme adopted by the invention is as follows: polarization coding system of visible light communication channel based on polarization weight, comprising the following modules:
the channel construction module is used for constructing a visible light communication channel model and setting a modulation mode;
the channel polarization weight calculation module is used for expanding the serial numbers of all the sub-channels of the polarization codes according to a binary counting method and calculating the polarization weights of all the sub-channels;
the polarization weight sorting module is used for constructing an information bit set and a frozen bit set according to the polarization weights of all the sub-channels obtained by calculation and a preset rule;
the matrix generation module is used for obtaining a generation matrix according to the information bit set;
and the code mapping module is used for linearly mapping the information sequence into a code sequence according to the generating matrix to complete the polarization code coding in the visible light communication channel.
The method and the system have the beneficial effects that: aiming at the visible light communication system, the polarization weight algorithm is applied to the polarization code structure of the visible light communication system by combining the visible light communication transmission model and the preset modulation mode, so that the error rate performance of the visible light communication system is ensured, and the operation complexity during information bit selection is reduced.
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FIG. 1 is a flow chart illustrating the steps of a polarization encoding method for a visible light communication channel based on polarization weights according to the present invention;
FIG. 2 is a block diagram of a polarization encoding system for a visible light communication channel based on polarization weights according to the present invention;
FIG. 3 is a graph of bit error rate versus signal-to-noise ratio comparing embodiments of the present invention to the prior art.
Detailed Description
The invention is described in further detail below with reference to the figures and the specific embodiments. The step numbers in the following embodiments are provided only for convenience of illustration, the order between the steps is not limited at all, and the execution order of each step in the embodiments can be adapted according to the understanding of those skilled in the art.
Referring to fig. 1, the present invention provides a polarization encoding method of a visible light communication channel based on polarization weights, the method comprising the steps of:
constructing a visible light communication channel model and setting a modulation mode;
specifically, the visible light channel modulation scheme adopts OOK (On-off keying) modulation, data bit "1" is represented by light pulse completely occupying a single bit width, and no light pulse is generated when "0" is transmitted.
Expanding the serial numbers of all the sub-channels of the polarization code according to a binary counting method, and calculating the polarization weight of all the sub-channels;
constructing an information bit set and a frozen bit set according to the calculated polarization weights of all the sub-channels and a preset rule;
obtaining a generating matrix according to the information bit set;
and linearly mapping the information sequence into a coding sequence according to the generating matrix to complete the polarization code coding in the visible light communication channel.
Further as a preferred embodiment of the method, the method further comprises:
the coding sequence is transmitted in a visible light channel, is received by a receiving end after being interfered by noise, and is decoded based on a CA-SCL decoding algorithm to obtain a decoding result;
and carrying out error rate analysis according to the decoding result.
As a further preferred embodiment of the method, the expression of the visible light communication channel model is as follows:
y＝hx+n
wherein h represents the instantaneous gain of the visible light channel model, n represents the mean value as zero, and the variance as σ2And h and n are independent of each other, x represents a coding sequence, and y represents a message sequence received by a receiving end.
Specifically, the message sequence refers to data that a coded sequence is transmitted in a visible light channel and is received by a receiving end after being interfered by noise.
Further as a preferred embodiment of the method, a code length N of the polarization code is set, and N is calculated as log2N, the polarization weight of the ith subchannel is defined as:
in the above formula, B represents the serial number of a certain sub-channel, and B is represented as (B) by binary countingn-1,bn-2,…,b0) Wherein b isjBelongs to {0,1}, j is more than or equal to 0 and less than or equal to n-1, j represents the serial number of the binary sequence, and the value of beta is arbitrary.
Further as a preferred embodiment of the method, set
The expression for the polarization weight of the ith subchannel is as follows:
further, as a preferred embodiment of the method, the step of constructing the information bit set and the frozen bit set according to the calculated polarization weights of all the sub-channels and a preset rule specifically includes:
arranging the calculated polarization weights of all the sub-channels in an ascending order;
k sub-channels with the largest polarization weight are selected as an information bit set, K is the number of information bits, and the rest sub-channels are used as a freezing bit set.
Further as a preferred embodiment of the method, the expression of the generator matrix is as follows:
wherein,
represents the kronecker product, BNIs a bit reversal matrix intended to implement an inverse bit rearrangement operation, BNThe recursive formula of (c) is defined as:
wherein I2Is a 2-dimensional unit array, B2＝I2，RNFor the permutation matrix, the separation of odd-order elements and even-order elements is completed for the input sequence, i.e. the odd-order elements are output first, and then the even-order elements are output.
Further, as a preferred embodiment of the method, the linear mapping of the information sequence into the code sequence according to the generator matrix specifically includes linear mapping of the information sequence with the length of K into the code sequence with the length of N, where the expression is as follows:
wherein,
indicating the information sequence to be transmitted by the transmitting end,
denotes the coding sequence, GNThe representation is a generating matrix that is represented,
represents the kronecker product, BNIs a bit inversion matrix.
The invention gets rid of the dependence on the channel information, can directly utilize the binary sequence extension of the channel serial number to carry out reliability estimation and classification sequencing on the channel, can evaluate the reliable transmission capability of the sub-channel in advance under the condition of unknown interference in the actual channel, and can obtain a uniform polar code construction sequence aiming at the given code length N and the information bit number K. The polarization weight algorithm adds possibility to the wider application of the polarization code in visible light communication.
Referring to fig. 3, a Polarization code is used as a coding code type of the visible light communication system, a Gaussian Approximation (GA) method and a Polarization Weight (PW) algorithm are respectively adopted in a Polarization code coding construction process to obtain a relation curve between the error rate and the signal to noise ratio of the visible light communication system, a Polarization code length is set to be 1024, an information bit length is 512, a code rate is 0.5, a CRC sequence length is 8, search widths of a CA-SCL decoding algorithm are respectively 2 and 4, and an error rate analysis curve is known: the polarization code construction method based on the polarization weight and the polarization code construction method based on the Gaussian approximation show that the guarantee effect on the error rate performance of the visible light communication system is basically the same, the error rate curves of the polarization code construction method and the polarization code construction method are approximately coincident, the transmission quality of the visible light communication system can be effectively improved, the interference of external noise on information transmission is reduced, and the error phenomenon is inhibited.
As shown in fig. 2, the polarization coding system for visible light communication channel based on polarization weight includes:
the channel construction module is used for constructing a visible light communication channel model and setting a modulation mode;
the channel polarization weight calculation module is used for expanding the serial numbers of all the sub-channels of the polarization codes according to a binary counting method and calculating the polarization weights of all the sub-channels;
the polarization weight sorting module is used for constructing an information bit set and a frozen bit set according to the polarization weights of all the sub-channels obtained by calculation and a preset rule;
the matrix generation module is used for obtaining a generation matrix according to the information bit set;
and the code mapping module is used for linearly mapping the information sequence into a code sequence according to the generating matrix to complete the polarization code coding in the visible light communication channel.
Further as a preferred embodiment of the present system, the present system further comprises:
the decoding module is used for receiving the message sequence and decoding the message sequence based on a CA-SCL decoding algorithm to obtain a decoding result;
and the error rate analysis module is used for carrying out error rate analysis according to the decoding result.
The contents in the above method embodiments are all applicable to the present system embodiment, the functions specifically implemented by the present system embodiment are the same as those in the above method embodiment, and the beneficial effects achieved by the present system embodiment are also the same as those achieved by the above method embodiment.
While the preferred embodiments of the present invention have been illustrated and described, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined in the appended claims.
Claims (9)
1. The polarization coding method of the visible light communication channel based on the polarization weight is characterized by comprising the following steps:
constructing a visible light communication channel model and setting a modulation mode;
expanding the serial numbers of all the sub-channels of the polarization code according to a binary counting method, and calculating the polarization weight of all the sub-channels;
constructing an information bit set and a frozen bit set according to the calculated polarization weights of all the sub-channels and a preset rule;
obtaining a generating matrix according to the information bit set;
and linearly mapping the information sequence into a coding sequence according to the generating matrix to complete the polarization code coding in the visible light communication channel.
2. The polarization encoding method for visible light communication channel based on polarization weight as claimed in claim 1, further comprising:
the coding sequence is transmitted in a visible light channel, is received by a receiving end after being interfered by noise, and is decoded based on a CA-SCL decoding algorithm to obtain a decoding result;
and carrying out error rate analysis according to the decoding result.
3. The polarization coding method of the visible light communication channel based on the polarization weight as claimed in claim 2, wherein the expression of the visible light communication channel model is as follows:
y＝hx+n
wherein h represents the instantaneous gain of the visible light channel model, n represents the mean value as zero, and the variance as σ2And h and n are independent of each other, x represents a coding sequence, and y represents a message sequence received by a receiving end.
4. The polarization encoding method of claim 3, wherein a polarization code length N is set, and N-log is calculated2N, the polarization weight of the ith subchannel is defined as:
in the above formula, B represents the serial number of a certain sub-channel, and B is represented as (B) by binary countingn-1，bn-2，…，b0) Wherein b isjBelongs to {0,1}, j is more than or equal to 0 and less than or equal to n-1, j represents the serial number of the binary sequence, and the value of beta is arbitrary.
5. The method of claim 4, wherein the setting is based on polarization weight for polarization encoding of visible light communication channel
The expression for the polarization weight of the ith subchannel is as follows:
6. the polarization encoding method of visible light communication channel based on polarization weight as claimed in claim 5, wherein the step of constructing the information bit set and the freezing bit set according to the calculated polarization weights of all sub-channels and a preset rule specifically comprises:
arranging the calculated polarization weights of all the sub-channels in an ascending order;
k sub-channels with the largest polarization weight are selected as an information bit set, K is the number of information bits, and the rest sub-channels are used as a freezing bit set.
7. The polarization encoding method for visible light communication channel based on polarization weight as claimed in claim 6, wherein the expression of the generator matrix is as follows:
wherein,
represents the kronecker product, BNIs a bit inversion matrix.
8. The polarization coding method for visible light communication channel based on polarization weight as claimed in claim 7, wherein the information sequence is linearly mapped to the code sequence according to the generator matrix, specifically, the information sequence with length K is linearly mapped to the code sequence with length N, and the expression is as follows:
wherein,
indicating the information sequence to be transmitted by the transmitting end,
denotes the coding sequence, GNThe representation is a generating matrix that is represented,
represents the kronecker product, BNIs a bit inversion matrix.
9. A polarization encoding system for a polarization weight based visible light communication channel, comprising:
the channel construction module is used for constructing a visible light communication channel model and setting a modulation mode;
the channel polarization weight calculation module is used for expanding the serial numbers of all the sub-channels of the polarization codes according to a binary counting method and calculating the polarization weights of all the sub-channels;
the polarization weight sorting module is used for constructing an information bit set and a frozen bit set according to the polarization weights of all the sub-channels obtained by calculation and a preset rule;
the matrix generation module is used for obtaining a generation matrix according to the information bit set;
and the code mapping module is used for linearly mapping the information sequence into a code sequence according to the generating matrix to complete the polarization code coding in the visible light communication channel.
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