KR20110060151A - Decoding and demodulating system in receiving stage and thereof method - Google Patents

Abstract

PURPOSE: A demodulating and decoding system in a receiver is provided to insert an LLR(Log Likelihood Ratio) value produced by a BCJR(Bahl, Cocke, Jelinek and Raviv) algorithm in a prior demodulating and decoding process. CONSTITUTION: A demodulating and decoding system(100) in a receiver includes a symbol detection unit(110), an LLR(Log Likelihood Ratio) operation unit(120), and a decoding unit(130). The symbol detection unit detects a symbol from first receiving data. The LLR operation unit computes a first LLR value through the detected symbol. According to the computed first LLR value, the decoding unit decodes the first receiving data.

Description

Demodulation and decoding system at receiving end and method thereof {DECODING AND DEMODULATING SYSTEM IN RECEIVING STAGE AND THEREOF METHOD}

Embodiments of the present invention relate to demodulation and decoding systems and methods at a receiving end.

The invention of the Ministry of Knowledge Economy and ICT IT It is derived from the research conducted as part of the development engine of the growth engine technology [Task Management No .: 2006-S-001-04, Title: Development of Adaptive Wireless Access and Transmission Technology for 4th Generation Mobile Communications].

The mobile communication system is composed of an encoder and a modulator included in the transmitting end, and a demodulator and a decoder included in the receiving end. The encoder is largely composed of a channel encoder and a rate matcher. The rate matcher repeats or punctures a predetermined pattern in order to match the number of encoded bits to the allocated amount of transmission. The decoder derates the received data to match the size of the data sent from the transmitter and decodes the received data.

In general, when data transmitted / received in a MIMO transmission / reception system supporting spatial multiplexing has a multi-codeword, the receiver repeatedly demodulates and decodes the received data, and then repeatedly removes the interference. By performing this, the reception performance can be improved.

In the conventional receiver, when puncturing data is included in the received data, after decoding the received data in which 0 value is input to the puncturing data, the interference is removed and the puncturing data is removed from the received data. If is included, the process of decoding by repeatedly inputting the value 0 into the puncturing data.

In the present invention, when the received data has multiple codewords, when the demodulation and decoding are repeatedly performed at the receiving end, the receiver does not merely insert a zero value into the punctured portion, but adds a separately calculated LLR (Log Likelihood Ratio) value. The present invention proposes a method for improving the reception performance of a receiver.

According to an embodiment of the present invention, when repeatedly performing demodulation and decoding at a receiving end of a communication system, a LLR (Log Likelihood Ratio) value calculated in a previous demodulation and decoding process is input to the puncturing data included in the received data. It is an object of the present invention to provide a demodulation and decoding system and a method thereof in a receiver that can improve demodulation and decoding performance rather than simply inputting a zero value.

An embodiment of the present invention provides a demodulation and decoding system and a method for receiving at the receiving end that can further improve the reception performance based on the existing interference cancellation and decoding algorithm at the receiving end, when transmitting the puncturing data For the purpose of

A demodulation and decoding system at a receiver according to an embodiment of the present invention includes a symbol detection unit for detecting a symbol from first received data, and an LLR for calculating a first Log Likelihood Ratio (LLR) value using the detected symbol. And a decoder configured to decode the first received data according to the calculated first LLR value.

According to an aspect of the present invention, the decoder may decode the input by setting a value set in the puncturing data included in the first received data.

According to an aspect of the present invention, the LLR calculator may calculate a second LLR value using BCJR algorithm (Bahl, Cocke, Jelinek and Raviv) when decoding the first received data.

According to an aspect of the present invention, the method further includes a buffer for storing the first received data, and the decoder unit uses the decoded first received data and the stored first received data to remove the second received interference. You can generate data.

According to an aspect of the present invention, when a plurality of codeword data is included in the first received data, the decoder unit may generate codeword data having a normal CRC error detection code generated as a result of the decoding from the first received data. By removing, the second received data from which the interference is removed may be generated.

According to an aspect of the present invention, the decoder may encode and modulate the decoded first received data to identify codeword data of which the CRC error detection code is normal from the first received data.

According to an aspect of the present invention, when the second received data from which interference is removed from the first received data is generated, the LLR calculator is configured to generate a symbol using a symbol and a signal to noise ratio (SNR) detected from the second received data. The LLR value may be calculated, and the decoder may decode the second received data according to the calculated first LLR value.

According to an aspect of the present disclosure, the decoder may input a second LLR value calculated based on a predetermined algorithm, to the puncturing data in the second received data when decoding the second received data.

According to an aspect of the invention, the decoder unit of the calculated second LLR value, the value of the second LLR value calculated by the set weight, or the value of the average operation of the first LLR value and the second LLR value; Any one value can be entered. Here, the weight may be a signal-to-noise ratio (SNR).

According to an aspect of the present invention, the decoder unit may perform demodulation and decoding on the first received data and repeatedly perform the demodulation and decoding on the second received data from which interference is removed from the first received data. have.

According to an aspect of the present invention, the first received data may be received data received from a transmitting end of a communication system to a receiving end, or may be received data from which interference is removed from the received data.

In addition, the demodulation and decoding method at the receiving end according to an embodiment of the present invention, decoding the first received data using a first Log Likelihood Ratio (LLR) value, and at the time of decoding the first received data Calculating a second LLR value using a predetermined algorithm; generating second received data from which interference is removed using the decoded first received data; and puncturing in the second received data. Decoding the second received data by inputting the calculated second LLR value to data.

According to an embodiment of the present invention, when repeatedly performing demodulation and decoding at a receiving end of a communication system, LLR (Log Likelihood) calculated using BCJR (Bahl, Cocke, Jelinek and Raviv) algorithm in a previous demodulation and decoding process By inserting the Ratio) value, the demodulation and decoding performance can be improved by inputting to the puncturing data included in the received data.

According to an embodiment of the present invention, it is possible to provide a new iterative reception algorithm for improving demodulation and decoding performance at a receiving end of a mobile communication system.

Hereinafter, embodiments of the present invention will be described in detail with reference to the accompanying drawings. However, the present invention is not limited or limited by the embodiments. Like reference numerals in the drawings denote like elements.

The "first received data" used in the present invention may be received data received from a transmitting end of a communication system to a receiving end, or may be received data (ie, second received data) from which interference is removed from the received data.

1 is a block diagram illustrating a demodulation and decoding system in a receiver according to an embodiment of the present invention.

The demodulation and decoding system 100 at the receiving end may include a symbol detector 110, an LLR calculator 120, a decoder 130, and a buffer 140.

The symbol detector 110 detects a symbol from the first received data.

The buffer 140 may store first received data received from the transmitting end of the communication system to the receiving end. The symbol detector 110 may detect a symbol from the stored first received data.

Here, the symbol detector 110 may be implemented by the MMSE detector. The operation principle of the MMSE detector will be described below.

If the transmitted complex-valued symbol is x ( m ), then for a random variable w ( m ) following the Gaussian distribution with independence and variance σ ² = Nvar and a mean of 0,

은 다음과 같이 주어진다.Linear transform minimizes mean-squared estimation error for transmitted symbol

Is given by

The following equation holds for the transform.

는 다음 식으로 계산할 수 있다.Channel state matrix H has a full-column rank, so the MMSE weight matrix

Can be calculated by the following equation.

MMSE weight matrix

은 NumLyr-dimensional Hermitian matrix이므로 modified Gaussian elimination(Cholesky)에 의해 비교적 쉽게 3개 행렬의 곱

으로 분해할 수 있다(L은 같은 차원의 complex-valued lower triangular matrix이고 diagonal elements가 모두 1, D는 real-valued diagonal matrix). 다음 수식에 따라 한 row씩 순차적으로 decomposition을 수행할 수 있다.In calculating the above equation, the operand of inverse operation

Since is a NumLyr-dimensional Hermitian matrix, the product of three matrices is relatively easily obtained by modified Gaussian elimination (Cholesky).

( L is a complex-valued lower triangular matrix of the same dimension, diagonal elements are all 1, and D is a real-valued diagonal matrix). You can perform decomposition sequentially one row by the following equation.

The LDU decomposition for Hermitian matrix is calculated by

는 다음 연립방정식의 해로 계산할 수 있다.MMSE weight matrix

Can be calculated as the solution to the following system of equations:

이라고 두면, 다음 수식에 따라 순차적으로 MMSE weight matrix의 elements를 구할 수 있다.

, The elements of the MMSE weight matrix can be obtained sequentially according to the following equation.

Back substitution with given LDU decomposition

The output signal is determined as a function of the estimated symbol and noise variance as follows.

Where column vector c is

The LLR calculator 120 functions to calculate a first Log Likelihood Ratio (LLR) value using the detected symbol.

In this case, the LLR calculator 120 may be implemented by an LLR demapper. The LLR demapper may calculate the first LLR value using the symbols detected by the MMSE detector.

Accordingly, the de-rate matcher in the decoder 130 performs de-rate matching using the calculated first LLR value, thereby transmitting the first received data at the transmitting end. Can fit to the same size as the sent data.

The decoder 130 functions to decode the first received data according to the calculated first LLR value.

In this case, the decoder 130 inputs a value '0' set to the puncturing data included in the first received data, and calculates the calculated first LLR value using the first received data to which the value is input. Can be decoded accordingly.

In addition, as the first received data is decoded by the decoder 130, the LLR calculator 120 may calculate a second LLR value using a BCJR algorithm (Bahl, Cocke, Jelinek and Raviv) algorithm. In this case, the LLR calculator 120 may be included in the channel decoder and implemented.

In addition, the decoder 130 may generate second received data from which interference is removed using the decoded first received data and the stored first received data.

For example, when a plurality of codeword data is included in the first received data, the decoder 130 may remove codeword data having a normal CRC error detection code generated as a result of the decoding from the first received data. The second received data from which the interference is removed may be generated.

In this case, the decoder unit 130 encodes and modulates the decoded first received data at a transmitting end of a communication system to identify the codeword data, and then identifies the codeword data from the first received data. By removing, the second received data from which the interference is removed may be generated.

As the second received data from which the interference is removed from the first received data is generated, the above-described process may be repeated using the second received data.

That is, the symbol detector 110 detects a symbol from the second received data, and the LLR calculator 120 recalculates the first LLR value using the symbol and the signal-to-noise ratio (SNR) detected from the second received data. The decoder 130 may decode the second received data according to the recalculated first LLR value.

In this case, the decoder 130 may input the calculated second LLR value to the puncturing data in the second received data and then decode the second received data. For example, the decoder 130 may input the calculated second LLR value as it is, or input a value obtained by multiplying the second LLR value with a set weight, or the recalculated first LLR value and the A value obtained by averaging the calculated second LLR value may be input. As described above, the decoder 130 may input the second LLR value to the puncturing data in the second received data in various ways.

For example, when the weight is a signal-to-noise ratio (SNR), the decoder 130 may calculate a second LLR value according to the second LLR = second LLR * alpha (where alpha is SNR). As a result, the second LLR value may vary depending on the signal to noise ratio. For reference, alpha has a minimum value of 0 and a maximum value can be any constant value.

As described above, the decoder 130 performs demodulation and decoding on the first received data and punctures the demodulated and decoded data on the second received data from which interference is removed from the first received data. By inputting the second LLR value calculated in the previous decoding process into the puncturing data instead of simply inputting a zero value to the data, it is possible to improve the demodulation and decoding performance at the receiving end, and consequently, the receiving performance at the receiving end. .

2 is a diagram illustrating a configuration of a communication system according to an embodiment of the present invention.

Referring to FIG. 2, the decoder unit may include a derate matcher and a channel decoder. When the first received data is punctured, the derate matcher inserts a value of 0 into the punctured portion of the first received data and delivers the value to the channel decoder, and the channel decoder may decode the delivered first received data. In this case, the channel decoder may calculate the second LLR value using the BCJR algorithm. For reference, when the first received data is repeatedly received at the receiving end, the derate matcher may add the first received data to improve reception performance.

When the first received data consists of codewords A and B, the demodulation and decoding system at the receiving end can improve reception performance by removing interference for each codeword. For example, the demodulation and decoding system at the receiving end configures a symbol after encoding and modulating the data A 'decoded by the channel decoder with codeword A having a normal CRC error detection code out of two codewords, and converting the configured symbol into the first symbol. If one is removed from the received data, another codeword B from which interference is removed can be generated. Such interference cancellation methods include a successive interference cancellation method or a parallel interference cancellation method.

In other words, to remove the interference, the demodulation and decoding system at the receiving end first performs a series of procedures performed by the encoder and modulator, such as scrambling, rate matching, and symbol mapping, using the decoded result, and then generates a symbol. Can be. In this case, when the CRC error detection code generated as a result of the decoding is normal, the codeword A from which the interference is removed may be generated. In this case, the demodulation and decoding system at the receiving end receives the first received first received data stored in the buffer, and removes the codeword A from which the interference is removed from the first received data, thereby eliminating other components of the codeword. The second received data consisting of the pure codeword B can be generated.

The MMSE detector configures a symbol by performing MMSE filtering on the second received data from which interference is removed using a symbol estimate, and the LLR Demapper uses a symbol unit output of the MMSE detector to form a first LLR. Recalculate the value, and the channel decoder may perform decoding on the second received data again.

When decoding the second received data, the channel decoder may insert the second LLR value calculated in the previous decoding process without inserting a 0 value into the punctured portion of the second received data. The second LLR value may be a value calculated based on a BCJR algorithm.

Algorithms for inserting the second LLR value into the punctured portion during the demodulation and decoding of the next stage may be applied in various ways. For example, there is a method of applying only the calculated second LLR value to the punctured part, a method of applying an existing first LLR value to a newly calculated second LLR value by averaging, and calculating the calculated second LLR value. And a method of applying a signal-to-noise ratio (SNR) related to the first received data by weight. When the signal-to-noise ratio (SNR) is set as a weight and applied, when the state of the first received data received by the receiver is not good, it may be better to insert a zero value into the punctured bit. Alternatively, when the state of the first received data received by the receiving end is good, inserting the calculated second LLR value may have better performance.

As described above, when decoding the first received data, the channel decoder inserts 0 since the puncturing data is not known, and inserts 0 in the punctured portion in the second and subsequent decodings that perform the repeated reception algorithm. Instead, the second decoding may be performed by inserting the second LLR value calculated in the process of performing the first decoding. In addition, the channel decoder may recalculate the second LLR value even while performing the second decoding, and may repeatedly apply the calculated second LLR value to the next third decoding. This can be expected to improve demodulation and decoding performance over existing algorithms that continue to insert zeros.

3 is a diagram illustrating a process of performing demodulation and decoding at a receiving end of a communication system supporting multiple codewords according to an embodiment of the present invention.

3 illustrates a process of removing interference, demodulating, and decoding at a receiving end of a communication system supporting multiple codewords. The demodulation and decoding system at the receiving end receives the output value of the first decoder to perform the second demodulation and decoding, and the channel encoding, rate matching, scrambling, symbol mapping, interference cancellation, MMSE detection, LLR calculation, descrambling, Rate matching and the like.

4 is a diagram illustrating a process of inputting a value set in puncturing data included in first received data according to one embodiment of the present invention.

The decoder unit in the demodulation and decoding system at the receiver may insert a zero value into the punctured portion of the first received data as shown in FIG. 4 through the derate matcher and decode the channel decoder. In this case, the LLR calculator in the demodulation and decoding system at the receiver may calculate a second LLR value using a BCJR algorithm when decoding the first received data.

FIG. 5 is a diagram illustrating a process of inputting a second LLR value to puncturing data included in second received data according to one embodiment of the present invention.

The decoder unit in the demodulation and decoding system at the receiving end inserts the first LLR value '0' into the punctured portion of the first received data through the derate matcher when the first decoding of the first received data is performed, and then decodes the channel decoder. Can be decoded via

In this case, the LLR calculator in the demodulation and decoding system at the receiver may calculate a second LLR value using a BCJR algorithm when decoding the first received data.

The decoder may generate second received data from which interference is removed using the first decoded result.

In addition, when the second decoding on the second received data, the decoder unit performs a second LLR value 'L3, L6, L9, L12,... 'Can be inserted and then decoded through the channel decoder.

In addition, the decoder unit may recalculate the second LLR value using the BCJR algorithm in the process of performing the second decoding, and may repeatedly apply the calculated second LLR value to the next third decoding. This can be expected to improve demodulation and decoding performance over existing algorithms that continue to insert zeros.

6 is a flowchart illustrating a procedure of a demodulation and decoding method at a receiving end according to an embodiment of the present invention.

The demodulation and decoding method at the receiving end may be implemented by the demodulation and decoding system 100 at the receiving end shown in FIG. 1. In the following description of FIG. 6, the present invention will be described with reference to FIG. 1 described above.

In step 610, the demodulation and decoding system 100 at the receiving end detects a symbol from the first received data.

The buffer 140 may store first received data received from the transmitting end of the communication system to the receiving end. The symbol detector 110 may detect a symbol from the stored first received data. Here, the symbol detector 110 may be implemented by the MMSE detector. The operating principle of the MMSE detector has been described with reference to FIG. 1.

In step 620, the demodulation and decoding system 100 at the receiver computes the first LLR value using the detected symbol.

In this case, the LLR calculator 120 may be implemented by an LLR demapper. The LLR demapper may calculate the first LLR value using the symbols detected by the MMSE detector.

Accordingly, the de-rate matcher in the decoder 130 performs de-rate matching using the calculated first LLR value, thereby transmitting the first received data at the transmitting end. Can fit to the same size as the sent data.

In step 630, the demodulation and decoding system 100 at the receiving end inputs a value set in puncturing data included in the first received data using the calculated first LLR value.

The decoder 130 may input a value '0' set in the puncturing data included in the first received data.

In step 640, the demodulation and decoding system 100 at the receiving end decodes the first received data using a first Log Likelihood Ratio (LLR) value, and when decoding the first received data, uses a predetermined algorithm. Compute the second LLR value.

That is, the demodulation and decoding system 100 at the receiving end decodes the first received data inputted with the value using the calculated first LLR value, and when decoding the first received data, BCJR (Bahl, Cocke, Jelinek and Raviv) algorithm can be used to calculate the second LLR value. In this case, the LLR calculator 120 may be included in the channel decoder and implemented.

In step 650, the demodulation and decoding system 100 at the receiving end generates the second received data from which interference is removed using the decoded first received data.

For example, when a plurality of codeword data is included in the first received data, the decoder 130 may remove codeword data having a normal CRC error detection code generated as a result of the decoding from the first received data. The second received data from which the interference is removed may be generated.

In this case, the decoder unit 130 encodes and modulates the decoded first received data at a transmitting end of a communication system to identify the codeword data, and then identifies the codeword data from the first received data. By removing, the second received data from which the interference is removed may be generated.

In operation 660, the demodulation and decoding system 100 at the receiving end decodes the second received data by inputting the calculated second LLR value to the puncturing data in the second received data.

As the second received data from which the interference is removed from the first received data is generated, the above-described process may be repeated using the second received data.

That is, the symbol detector 110 detects a symbol from the second received data, and the LLR calculator 120 recalculates the first LLR value using the symbol and the signal-to-noise ratio (SNR) detected from the second received data. The decoder 130 may decode the second received data according to the recalculated first LLR value.

In this case, the decoder 130 may input the calculated second LLR value to the puncturing data in the second received data and then decode the second received data. For example, the decoder 130 may input the calculated second LLR value as it is, or input a value obtained by multiplying the second LLR value with a set weight, or the recalculated first LLR value and the A value obtained by averaging the calculated second LLR value may be input. As described above, the decoder 130 may input the second LLR value to the puncturing data in the second received data in various ways.

For example, when the weight is a signal-to-noise ratio (SNR), the decoder 130 may calculate a second LLR value according to the second LLR = second LLR * alpha (where alpha is SNR). As a result, the second LLR value may vary depending on the signal to noise ratio. For reference, alpha has a minimum value of 0 and a maximum value can be any constant value.

As described above, the decoder 130 performs demodulation and decoding on the first received data and punctures the demodulated and decoded data on the second received data from which interference is removed from the first received data. By inputting the second LLR value calculated in the previous decoding process into the puncturing data instead of simply inputting a zero value to the data, it is possible to improve the demodulation and decoding performance at the receiving end, and consequently, the receiving performance at the receiving end. .

Further, embodiments of the present invention include a computer readable medium having program instructions for performing various computer implemented operations. The computer readable medium may include program instructions, data files, data structures, and the like, alone or in combination. Program instructions recorded on the media may be those specially designed and constructed for the purposes of the present invention, or they may be of the kind well-known and available to those having skill in the computer software arts. Examples of computer-readable recording media include magnetic media such as hard disks, floppy disks, and magnetic tape, optical media such as CD-ROMs, DVDs, and magnetic disks, such as floppy disks. Magneto-optical media, and hardware devices specifically configured to store and execute program instructions, such as ROM, RAM, flash memory, and the like. Examples of program instructions include not only machine code generated by a compiler, but also high-level language code that can be executed by a computer using an interpreter or the like.

As described above, the present invention has been described by specific embodiments such as specific components and the like. For those skilled in the art to which the present invention pertains, various modifications and variations are possible. Therefore, the spirit of the present invention should not be construed as being limited to the described embodiments, and all of the equivalents or equivalents of the claims, as well as the following claims, are included in the scope of the present invention.

1 is a block diagram illustrating a demodulation and decoding system in a receiver according to an embodiment of the present invention.

2 is a diagram illustrating a configuration of a communication system according to an embodiment of the present invention.

3 is a diagram illustrating a process of performing demodulation and decoding at a receiving end of a communication system supporting multiple codewords according to an embodiment of the present invention.

4 is a diagram illustrating a process of inputting a value set in puncturing data included in first received data according to one embodiment of the present invention.

FIG. 5 is a diagram illustrating a process of inputting a second LLR value to puncturing data included in second received data according to one embodiment of the present invention.

6 is a flowchart illustrating a procedure of a demodulation and decoding method at a receiving end according to an embodiment of the present invention.

<Explanation of symbols for the main parts of the drawings>

100: demodulation and decoding system at the receiving end

110: symbol detection unit

120: LLR calculator

130: decoder

140: buffer

Claims (16)

A symbol detector for detecting a symbol from the first received data; An LLR calculator configured to calculate a first Log Likelihood Ratio (LLR) value using the detected symbol; And A decoder unit for decoding the first received data according to the calculated first LLR value Demodulation and decoding system at the receiving end comprising a. The method of claim 1, The decoder unit, And decoding the input by setting a value set in puncturing data included in the first received data. The method of claim 1, The LLR calculator, And a second LLR value is calculated using a Bahl, Cocke, Jelinek and Raviv (BCJR) algorithm when decoding the first received data. The method of claim 1, A buffer for storing the first received data More, The decoder unit, And demodulating and decoding the second received data using the decoded first received data and the stored first received data. The method of claim 1, When the plurality of codeword data is included in the first received data, The decoder unit, And removing the codeword data in which the CRC error detection code generated as a result of the decoding is normal from the first received data to generate second received data from which interference is removed. The method of claim 5, The decoder unit, And encoding and modulating the decoded first received data to identify codeword data of which the CRC error detection code is normal from the first received data. The method of claim 1, When second received data from which interference is removed from the first received data is generated, The LLR calculator, Calculating a first LLR value using a symbol-to-noise ratio (SNR) detected from the second received data; The decoder unit, And decoding the second received data according to the calculated first LLR value. The method of claim 7, wherein The decoder unit, And a second LLR value calculated based on a predetermined algorithm is input to the puncturing data in the second received data when decoding the second received data. The method of claim 8, The decoder unit, At the receiving end, inputting the calculated second LLR value, the value obtained by calculating the second LLR value with a set weight, or a value obtained by averaging the first LLR value and the second LLR value. Demodulation and decoding system. 10. The method of claim 9, The weight is, A demodulation and decoding system at a receive end, which is a signal to noise ratio (SNR). The method of claim 1, The decoder unit, Demodulating and decoding the first received data, and repeatedly demodulating and decoding the second received data from which interference is removed from the first received data. The method of claim 1, The first received data, A demodulation and decoding system at a receiving end, which is received data received from a transmitting end to a receiving end of a communication system or received data from which interference is removed from the received data. Decoding the first received data using a first Log Likelihood Ratio (LLR) value; Calculating a second LLR value using a predetermined algorithm when decoding the first received data; Generating second received data from which interference is removed using the decoded first received data; And Decoding the second received data by inputting the calculated second LLR value to the puncturing data in the second received data; Demodulation and decoding method at the receiving end comprising a. The method of claim 13, Detecting a symbol from the first received data; Calculating the first LLR value using the detected symbol; And Inputting a value set in the puncturing data included in the first received data by using the calculated first LLR value More, Decoding the first received data by using a first LLR value, Decoding the first received data inputted with the value using the calculated first LLR value Demodulation and decoding method at the receiving end comprising a. The method of claim 13, Computing the second LLR value using the selected algorithm, Computing the second LLR value using BCJR (Bahl, Cocke, Jelinek and Raviv) algorithm Demodulation and decoding method at the receiving end comprising a. The method of claim 13, Decoding the second received data, Any one of the calculated second LLR value, a value obtained by calculating the second LLR value with a set weight value, or a value obtained by averaging the first LLR value and the second LLR value is included in the second received data. Input to puncturing data Demodulation and decoding method at the receiving end comprising a.

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