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Rilevamento e correzione degli errori

Codici CRC e codifica a blocchi e convoluzionale del canale

Applicare il rilevamento e la correzione degli errori utilizzando:

  • Tecniche di codifica con controllo a ridondanza ciclica (CRC). Sono inoltre compresi generatori e rilevatori CRC ottimizzati per HDL.

  • Tecniche di codifica a blocchi compresi i codici a blocchi lineari, i codici di Hamming, i codici Bose–Chaudhuri–Hocquenghem (BCH), i codici Reed-Solomon (RS), i codici a controllo di parità a bassa densità (LDPC) e i codici prodotto turbo (TPC). Sono inoltre compresi codificatori e decodificatori RS ottimizzati per HDL.

  • Tecniche di codifica convoluzionale comprese le tecniche convoluzionali, Turbo, di probabilità a posteriori (APP) e Viterbi. Sono inoltre compresi i decodificatori Turbo e Viterbi che possono essere eseguiti con le GPU per migliorare la velocità di elaborazione.

  • Campi di Galois per consentire la manipolazione di elementi di ordine pari e dispari dei campi finiti.

Per saperne di più sui codici di controllo degli errori, vedere Error Detection and Correction.

Funzioni

espandi tutto

crcConfigCyclic redundancy check (CRC) coding configuration (Da R2024a)
crcGenerateGenerate CRC code bits and append them to input data (Da R2024a)
crcDetectDetect errors in input data using CRC parity bits (Da R2024a)

Codici a blocchi lineari

cyclgenProduce parity-check and generator matrices for cyclic code
cyclpolyProduce generator polynomials for binary cyclic code
decodeBlock decoder
encodeBlock encoder
gfweightCalculate minimum distance of linear block code
gen2parConvert between parity-check and generator matrices
hammgenParity-check and generator matrices for Hamming code
syndtableProduce syndrome decoding table

Codici BCH

bchencBCH encoder
bchdecBCH decoder
bchgenpolyProduce generator polynomials for BCH code
bchnumerrNumber of correctable errors for BCH code

Codici Reed-Solomon

rsencReed-Solomon encoder
rsdecReed-Solomon decoder
rsgenpolyGenerator polynomial of Reed-Solomon code
rsgenpolycoeffsGenerator polynomial coefficients of Reed-Solomon code

Codici LDPC

ldpcEncodeEncode binary LDPC code (Da R2021b)
ldpcDecodeDecode binary LDPC code (Da R2021b)
ldpcEncoderConfigCreate LDPC encoder configuration (Da R2021b)
ldpcDecoderConfigCreate LDPC decoder configuration (Da R2021b)
ldpcQuasiCyclicMatrixParity-check matrix of quasi-cyclic LDPC code (Da R2021b)
dvbs2ldpcLow-density parity-check (LDPC) codes from DVB-S.2 standard

Codici prodotto Turbo

tpcencTurbo product code (TPC) encoder
tpcdecTurbo product code (TPC) decoder
convencConvolutionally encode binary message
vitdecConvolutionally decode binary data by using Viterbi algorithm
distspecCompute distance spectrum of convolutional code
getTurboIOIndicesCompute output indices for turbo coding (Da R2021a)
iscatastrophicTrue for trellis corresponding to catastrophic convolutional code
istrellisTrue for valid trellis structure
oct2decConvert octal to decimal numbers
poly2trellisConvert convolutional code polynomials to trellis description

Calcoli nei campi di Galois - Campi finiti di ordine pari

convmtxConvolution matrix of Galois field vector
cosetsProduce cyclotomic cosets for Galois field
dftmtxDiscrete Fourier transform matrix in Galois field
fftFast Fourier transform of Galois field vector
filter (gf)1-D digital filter over Galois field
gfGalois field array
gftableGenerate file to accelerate Galois field computations
ifftInverse fast Fourier transform of Galois field vector
isprimitiveTrue for primitive polynomial for Galois field
logLogarithm in Galois field
minpolFind minimal polynomial of Galois field element
mldivideSolve systems of linear equations Ax = B for x when A is a Galois array
primpolyFind primitive polynomials for Galois field

Campi di Galois a caratteristica dispari - Campi finiti di ordine dispari

gfaddAdd polynomials over Galois field
gfconvMultiply polynomials over Galois field
gfcosetsProduce cyclotomic cosets for Galois field
gfdeconvDivide polynomials over Galois field
gfdivDivide elements of Galois field
gffilterFilter data using polynomials over prime Galois field
gflineqFind particular solution of Ax = b over prime Galois field
gfminpolFind minimal polynomial of Galois field element
gfmulMultiply elements of Galois field
gfprettyPolynomial in traditional format
gfprimckCheck whether polynomial over Galois field is primitive
gfprimdfProvide default primitive polynomials for Galois field
gfprimfdFind primitive polynomials for Galois field
gfrankCompute rank of matrix over Galois field
gfrepcovConvert one binary polynomial representation to another
gfrootsFind roots of polynomial over prime Galois field
gfsubSubtract polynomials over Galois field
gftruncMinimize length of polynomial representation
gftupleSimplify or convert Galois field element formatting

Oggetti

espandi tutto

comm.CRCGeneratorGenerate CRC code bits and append to input data
comm.CRCDetectorDetect errors in input data using CRC
comm.HDLCRCGeneratorGenerate CRC code bits and append to input data
comm.HDLCRCDetectorDetect errors in input data using CRC

Codici BCH

comm.BCHEncoderEncode data using BCH encoder
comm.BCHDecoderDecode data using BCH decoder

Codici Reed-Solomon

comm.RSEncoderEncode data using Reed-Solomon encoder
comm.RSDecoderDecode data using Reed-Solomon decoder
comm.HDLRSEncoderEncode message using Reed-Solomon encoder
comm.HDLRSDecoderDecode message using Reed-Solomon decoder

Codici LDPC

comm.gpu.LDPCDecoder(To be removed) Decode binary low-density parity-check (LDPC) code with GPU
comm.ConvolutionalEncoderConvolutionally encode binary data
comm.gpu.ConvolutionalEncoderConvolutionally encode binary data with GPU
comm.TurboEncoderEncode input signal using turbo encoder parallel concatenated encoding scheme
comm.APPDecoderDecode convolutional code by using APP method
comm.TurboDecoderDecode input signal using turbo decoder parallel concatenated decoding scheme
comm.gpu.TurboDecoderDecode input signal using turbo decoding with GPU
comm.ViterbiDecoderDecode convolutionally encoded data using Viterbi algorithm
comm.gpu.ViterbiDecoderDecode convolutionally encoded data using Viterbi algorithm with GPU

Blocchi

espandi tutto

General CRC GeneratorGenerate CRC code bits according to generator polynomial and append to input data frames
General CRC Syndrome DetectorDetect errors in received codeword frames according to generator polynomial
General CRC Generator HDL OptimizedGenerate CRC code bits and append them to input data
General CRC Syndrome Detector HDL OptimizedDetect errors in input data using CRC

Codici a blocchi lineari

Binary Cyclic EncoderCreate systematic cyclic code from binary vector data
Binary Cyclic DecoderDecode systematic cyclic code to recover binary vector data
Binary Linear EncoderCreate linear block code from binary vector data
Binary Linear DecoderDecode linear block code to recover binary vector data
Hamming EncoderCreate Hamming code from binary vector data
Hamming DecoderDecode Hamming code to recover binary vector data

Codici BCH

BCH EncoderCreate BCH code from binary vector data
BCH DecoderDecode BCH code to recover binary vector data

Codici Reed-Solomon

Binary-Input RS EncoderCreate Reed-Solomon code from binary vector data
Binary-Output RS DecoderDecode Reed-Solomon code to recover binary vector data
Integer-Input RS EncoderCreate Reed-Solomon code from integer vector data
Integer-Output RS DecoderDecode Reed-Solomon code to recover integer vector data
Integer-Input RS Encoder HDL OptimizedEncode data using a Reed-Solomon (RS) encoder
Integer-Output RS Decoder HDL OptimizedDecode data using Reed-Solomon (RS) decoder

Codici LDPC

LDPC EncoderEncode binary low-density parity-check (LDPC) code
LDPC DecoderDecode binary low-density parity-check (LDPC) code

Codici prodotto Turbo

TPC EncoderTurbo product code (TPC) encoder
TPC DecoderTurbo product code (TPC) decoder
Convolutional EncoderEncode binary data using convolutional encoding scheme
Turbo EncoderEncode binary data using parallel concatenated encoding scheme
APP DecoderDecode convolutional code using a posteriori probability (APP) method
Turbo DecoderDecode input signal using parallel concatenated decoding scheme
Viterbi DecoderDecode convolutionally encoded data using Viterbi algorithm

Argomenti

Esempi in primo piano