오류 검출 및 정정

CRC 코드와 블록 및 컨벌루션 채널 코딩

다음을 사용하여 오류 검출 및 정정을 적용합니다.

순환 중복 검사(CRC) 코딩 기법. HDL에 최적화된 CRC 생성기 및 검출기도 포함됩니다.
선형 블록 코드, 해밍 코드, BCH(Bose–Chaudhuri–Hocquenghem) 코드, 리드-솔로몬(RS) 코드, 저밀도 패리티 검사(LDPC) 코드 및 터보 곱 코드(TPC)를 포함한 블록 코딩 기법. HDL에 최적화된 RS 인코더 및 디코더도 포함됩니다.
컨벌루션, 터보, 사후 확률(APP) 및 비터비 기법을 포함한 컨벌루션 코딩 기법. 더 빠른 속도를 위해 GPU에서 실행되는 터보 및 비터비 디코더도 포함됩니다.
유한체의 짝수 및 홀수 위수(order) 요소의 조작이 가능한 갈루아 체.

오류 제어 코드에 대한 자세한 내용은 오류 검출 및 정정 항목을 참조하십시오.

함수

순환 중복 검사 코드

`crcConfig`	Cyclic redundancy check (CRC) coding configuration (R2024a 이후)
`crcGenerate`	Generate CRC code bits and append them to input data (R2024a 이후)
`crcDetect`	Detect errors in input data using CRC parity bits (R2024a 이후)

블록 코딩

선형 블록 코드

`cyclgen`	Produce parity-check and generator matrices for cyclic code
`cyclpoly`	Produce generator polynomials for binary cyclic code
`decode`	Block decoder
`encode`	Block encoder
`gfweight`	Calculate minimum distance of linear block code
`gen2par`	Convert between parity-check and generator matrices
`hammgen`	Parity-check and generator matrices for Hamming code
`syndtable`	Produce syndrome decoding table

BCH 코드

`bchenc`	BCH encoder
`bchdec`	BCH decoder
`bchgenpoly`	Produce generator polynomials for BCH code
`bchnumerr`	Number of correctable errors for BCH code

리드-솔로몬 코드

`rsenc`	리드-솔로몬 인코더
`rsdec`	Reed-Solomon decoder
`rsgenpoly`	Generator polynomial of Reed-Solomon code
`rsgenpolycoeffs`	Generator polynomial coefficients of Reed-Solomon code

LDPC 코드

`ldpcEncode`	이진 LDPC 코드 인코딩 (R2021b 이후)
`ldpcDecode`	Decode binary LDPC code (R2021b 이후)
`ldpcEncoderConfig`	LPDC 인코더 구성 만들기 (R2021b 이후)
`ldpcDecoderConfig`	Create LDPC decoder configuration (R2021b 이후)
`ldpcPCM`	Generate parity-check matrix for LDPC coding (R2025a 이후)
`ldpcQuasiCyclicMatrix`	준순환(quasi-cyclic) LDPC 코드의 패리티 검사 행렬 (R2021b 이후)

터보 곱 코드

`tpcenc`	Turbo product code (TPC) encoder
`tpcdec`	Turbo product code (TPC) decoder

컨벌루션 코딩

`convenc`	Convolutionally encode binary message
`vitdec`	Convolutionally decode binary data by using Viterbi algorithm
`distspec`	Compute distance spectrum of convolutional code
`getTurboIOIndices`	Compute output indices for turbo coding
`iscatastrophic`	True for trellis corresponding to catastrophic convolutional code
`istrellis`	True for valid trellis structure
`oct2dec`	8진수를 10진수로 변환
`poly2trellis`	Convert convolutional code polynomials to trellis description

갈루아 체

짝수 위수 GF(2^m) 체에 대한 갈루아 체 계산

`convmtx`	Convolution matrix of Galois field vector
`cosets`	Produce cyclotomic cosets for Galois field
`dftmtx`	Discrete Fourier transform matrix in Galois field
`fft`	갈루아 체 벡터의 고속 푸리에 변환
`filter (gf)`	1-D digital filter over Galois field
`gf`	갈루아 체 배열
`gftable`	Generate file to accelerate Galois field computations
`ifft`	갈루아 체 벡터의 고속 푸리에 역변환
`isprimitive`	True for primitive polynomial for Galois field
`log`	갈루아 체의 로그
`minpol`	Find minimal polynomial of Galois field element
`mldivide`	Solve systems of linear equations Ax = B for x when A is a Galois array
`primpoly`	Find primitive polynomials for Galois field

홀수 위수 GF(p^m) 체에 대한 갈루아 체 계산

`gfadd`	Add polynomials over Galois field
`gfconv`	Multiply polynomials over Galois field
`gfcosets`	Produce cyclotomic cosets for Galois field
`gfdeconv`	Divide polynomials over Galois field
`gfdiv`	Divide elements of Galois field
`gffilter`	Filter data using polynomials over prime Galois field
`gflineq`	Find particular solution of `Ax` = `b` over prime Galois field
`gfminpol`	Find minimal polynomial of Galois field element
`gfmul`	Multiply elements of Galois field
`gfpretty`	Polynomial in traditional format
`gfprimck`	Check whether polynomial over Galois field is primitive
`gfprimdf`	Provide default primitive polynomials for Galois field
`gfprimfd`	Find primitive polynomials for Galois field
`gfrank`	Compute rank of matrix over Galois field
`gfrepcov`	Convert exponent format polynomial to standard binary format polynomial
`gfroots`	Find roots of polynomial over prime Galois field
`gfsub`	Subtract polynomials over Galois field
`gftrunc`	Minimize length of polynomial representation
`gftuple`	Simplify or convert Galois field element formatting

객체

모두 확장

순환 중복 검사 코드

`comm.CRCGenerator`	Generate CRC code bits and append to input data
`comm.CRCDetector`	Detect errors in input data using CRC
`comm.HDLCRCGenerator`	Generate CRC code bits and append to input data
`comm.HDLCRCDetector`	Detect errors in input data using CRC

블록 코딩

BCH 코드

`comm.BCHEncoder`	Encode data using BCH encoder
`comm.BCHDecoder`	Decode data using BCH decoder

리드-솔로몬 코드

`comm.RSEncoder`	Encode data using Reed-Solomon encoder
`comm.RSDecoder`	Decode data using Reed-Solomon decoder
`comm.HDLRSEncoder`	Encode message using Reed-Solomon encoder
`comm.HDLRSDecoder`	Decode message using Reed-Solomon decoder

컨벌루션 코딩

`comm.ConvolutionalEncoder`	Convolutionally encode binary data
`comm.gpu.ConvolutionalEncoder`	Convolutionally encode binary data with GPU
`comm.TurboEncoder`	Encode input signal using turbo encoder parallel concatenated encoding scheme
`comm.APPDecoder`	Decode convolutional code by using APP method
`comm.TurboDecoder`	Decode input signal using turbo decoder parallel concatenated decoding scheme
`comm.gpu.TurboDecoder`	Decode input signal using turbo decoding with GPU
`comm.ViterbiDecoder`	Decode convolutionally encoded data using Viterbi algorithm
`comm.gpu.ViterbiDecoder`	Decode convolutionally encoded data using Viterbi algorithm with GPU

블록

모두 확장

순환 중복 검사 코드

General CRC Generator	Generate CRC code bits according to generator polynomial and append to input data frames
General CRC Syndrome Detector	Detect errors in received codeword frames according to generator polynomial
General CRC Generator HDL Optimized	Generate CRC code bits and append them to input data
General CRC Syndrome Detector HDL Optimized	Detect errors in input data using CRC

블록 코딩

선형 블록 코드

Binary Cyclic Encoder	Create systematic cyclic code from binary vector data
Binary Cyclic Decoder	Decode systematic cyclic code to recover binary vector data
Binary Linear Encoder	Create linear block code from binary vector data
Binary Linear Decoder	Decode linear block code to recover binary vector data
Hamming Encoder	Create Hamming code from binary vector data
Hamming Decoder	Decode Hamming code to recover binary vector data

BCH 코드

BCH Encoder	Create BCH code from binary vector data
BCH Decoder	Decode BCH code to recover binary vector data

리드-솔로몬 코드

Binary-Input RS Encoder	Create Reed-Solomon code from binary vector data
Binary-Output RS Decoder	Decode Reed-Solomon code to recover binary vector data
Integer-Input RS Encoder	Create Reed-Solomon code from integer vector data
Integer-Output RS Decoder	Decode Reed-Solomon code to recover integer vector data
Integer-Input RS Encoder HDL Optimized	Encode data using a Reed-Solomon (RS) encoder
Integer-Output RS Decoder HDL Optimized	Decode data using Reed-Solomon (RS) decoder

LDPC 코드

LDPC Encoder	Encode binary low-density parity-check (LDPC) code
LDPC Decoder	Decode binary low-density parity-check (LDPC) code

터보 곱 코드

TPC Encoder	Turbo product code (TPC) encoder
TPC Decoder	Turbo product code (TPC) decoder

컨벌루션 코딩

Convolutional Encoder	Encode binary data using convolutional encoding scheme
Turbo Encoder	Encode binary data using parallel concatenated encoding scheme
APP Decoder	Decode convolutional code using a posteriori probability (APP) method
Turbo Decoder	Decode input signal using parallel concatenated decoding scheme
Viterbi Decoder	Decode convolutionally encoded data using Viterbi algorithm

도움말 항목

오류 검출 및 정정

오류 검출 및 정정

수신된 데이터에서 오류를 검출하는 기법과, 재송신할 필요 없이 수신기가 특정 유형의 오류를 정정할 수 있도록 하는 방식에 대해 알아봅니다.
- Cyclic Redundancy Check Codes
- Block Codes
- Convolutional Codes
- Galois Fields

워크플로

Transmit and Receive Shortened Reed-Solomon Codes
Transmit and receive standard and shortened RS-encoded, 64-QAM-modulated data through an AWGN channel.
Reed-Solomon Coding with Erasures, Punctures, and Shortening in Simulink
Configure Reed-Solomon (RS) codes to perform block coding with erasures, punctures, and shortening.
Creation, Validation, and Testing of User Defined Trellis Structure
Use MATLAB^® to create and validate a user defined trellis structure, then use a unit test bench built in Simulink^® to test the implementation.
Working with Galois Fields
This example shows how to work with Galois fields.
Representation of Polynomials in Communications Toolbox
You can specify polynomials as a character vector or string scalar by using a variety of syntaxes.