Coded modulation with convolutional codes over rings

Filho, Renato Baldini; Farrell, P.G.

doi:10.1007/3-540-54303-1_138

Cited by 6 publications

(3 citation statements)

References 1 publication

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“…Initial work on non-binary convolutional codes over rings, using phase-shift keying (PSK) modulation, dates back to [17], [18], where various convolutional code designs were presented for the AWGN channel. In order to make the codes robust against block-wise phase noise, an additional differential modulator is suggested in [18], without yet considering powerful turbo detection at the receiver.…”

Section: Introductionmentioning

confidence: 99%

Short Non-Binary Low-Density Parity-Check Codes for Phase Noise Channels

Ninacs

Matuz

Liva

et al. 2019

IEEE Trans. Commun.

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This work considers the design of short non-binary low-density parity-check (LDPC) codes over finite fields of order m, for channels with phase noise. In particular, m-ary differential phase-shift keying (DPSK) modulated code symbols are transmitted over an additive white Gaussian noise (AWGN) channel with Wiener phase noise. At the receiver side, noncoherent detection takes place, with the help of a multi-symbol detection algorithm, followed by a non-binary decoding step. Both the detector and decoder operate on a joint factor graph. As a benchmark, finite length bounds and information rate expressions are computed and compared with the codeword error rate (CER) performance, as well as the iterative threshold of the obtained codes. As a result, performance within 1.2 dB from finite-length bounds is obtained, down to a CER of 10 −3 .

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Section: Introductionmentioning

confidence: 99%

Short Non-Binary Low-Density Parity-Check Codes for Phase Noise Channels

Ninacs

Matuz

Liva

et al. 2019

IEEE Trans. Commun.

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“…When PSK modulations are considered, it seems to be natural to use channel codes over rings, preserving the linearity of the overall scheme. Convolutional codes over rings for AWGN channels in absence of phase noise were considered in [9], [10]. LDPC codes over rings for the coherent AWGN channel and PSK modulation were investigated in the context of bandwidth-efficient communications in [11] and it was shown that they may outperform typical techniques like binary bit-interleaved coded modulation.…”

Section: Introductionmentioning

confidence: 99%

“…It was noted that the construction of such LDPC codes must be taken with particular care. Zero divisors in the parity-check matrix may lead to poor minimum distances [9].…”

Section: Introductionmentioning

confidence: 99%

Non-binary LDPC coded DPSK modulation for phase noise channels

Ninacs

Matuz

Liva

et al. 2017

2017 IEEE International Conference on Communications (ICC)

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In this paper, we study digital transmission over an additive white Gaussian noise (AWGN) channel with mary differential phase-shift keying (DPSK) modulation in the presence of phase noise. At the receiver side, non-coherent iterative detection and decoding is assumed. We present a nonbinary low-density generator matrix (LDGM) code design which is suitable for both coherent and non-coherent channels. The code construction is strongly related to the one of non-binary irregular repeat-accumulate (IRA) low-density parity-check (LDPC) codes.

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Algebraic construction of cyclic codes over Z/sub 8/ with a good Euclidean minimum distance

Piret

1995

IEEE Trans. Inform. Theory

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Coded modulation with convolutional codes over rings

Cited by 6 publications

References 1 publication

Short Non-Binary Low-Density Parity-Check Codes for Phase Noise Channels

Short Non-Binary Low-Density Parity-Check Codes for Phase Noise Channels

Non-binary LDPC coded DPSK modulation for phase noise channels

Algebraic construction of cyclic codes over Z/sub 8/ with a good Euclidean minimum distance

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