High-Rate Nonbinary Regular Quasi-Cyclic LDPC Codes for Optical Communications

Arabaci, Murat; Djordjević, Ivan B.; Saunders, Ross; Marcoccia, R.

doi:10.1109/jlt.2009.2029062

Cited by 36 publications

(12 citation statements)

References 16 publications

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“…However, we need to stress that random non-zero element assignment from GF(q) to the 1s in the parity-check marix of a binary QC-LDPC code does not always result in a parity-check matrix that defines a q-ary QC-LDPC code as we showed in our recent paper [21] . To obtain a q-ary QC-LDPC code as the null-space of a paritycheck matrix H given in the form of Eq.…”

Section: Non-binary Quasi-cyclic Ldpc Codesmentioning

confidence: 98%

“…To obtain a q-ary QC-LDPC code as the null-space of a paritycheck matrix H given in the form of Eq. (1), one needs to ensure that each row , 0 1, k k q in the i-th block-row , 0 , i i H of the resulting H matrix must be obtained from the 0-th row of by k cyclic shifts and a scalar multiplication by some power of the primitive element i H [21] .…”

Section: Non-binary Quasi-cyclic Ldpc Codesmentioning

confidence: 99%

See 1 more Smart Citation

Non-binary LDPC-coded modulation for high-speed optical metro networks with backpropagation

Arabaci

Djordjević

Saunders³

et al. 2010

SPIE Proceedings

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To simultaneously mitigate the linear and nonlinear channel impairments in high-speed optical communications, we propose the use of non-binary low-density-parity-check-coded modulation in combination with a coarse backpropagation method. By employing backpropagation, we reduce the memory in the channel and in return obtain significant reductions in the complexity of the channel equalizer which is exponentially proportional to the channel memory. We then compensate for the remaining channel distortions using forward error correction based on non-binary LDPC codes. We propose non-binary-LDPC-coded modulation scheme because, compared to bit-interleaved binary-LDPC-coded modulation scheme employing turbo equalization, the proposed scheme lowers the computational complexity and latency of the overall system while providing impressively larger coding gains.

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Section: Non-binary Quasi-cyclic Ldpc Codesmentioning

confidence: 98%

Section: Non-binary Quasi-cyclic Ldpc Codesmentioning

confidence: 99%

Non-binary LDPC-coded modulation for high-speed optical metro networks with backpropagation

Arabaci

Djordjević

Saunders³

et al. 2010

SPIE Proceedings

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show abstract

“…• Nonbinary-input coded modulation (NBICM) [14], [15], [27], [38], [39]: no feedback is required when the Galois field size q matches the modulation order Q, while more complicated nonbinary decoding is needed. It achieves coded modulation bound.…”

Section: B Coded Modulationmentioning

confidence: 99%

Iteration-Aware LDPC Code Design for Low-Power Optical Communications

Koike‐Akino

Millar

Kojima

et al. 2016

J. Lightwave Technol.

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Recent low-density parity-check (LDPC) codes have shown capacity-approaching performance for various communications systems. However, their promising performance cannot always be obtained due to practical constraints such as finite codeword length, finite iteration, finite memory, and finite precision. In this paper, we focus on a practical design method of highperformance LDPC codes under a constraint of finite-iteration decoding for low-power optical communications. We introduce an iteration-aware LDPC code design approach, which is based on decoding trajectory in extrinsic information transfer (EXIT) chart analysis. It is demonstrated that an LDPC code designed by the conventional curve-fitting method exhibits nearly 2 dB of penalty when the maximum number of iterations is limited. The results suggest that the LDPC code should be adaptively changed, e.g., when the number of decoding iterations is decreased to save power consumption. We also extend our design method to a multiobjective optimization concept by taking average degrees into account, so that the threshold and the computational complexity are minimized at the same time. The proposed Pareto-optimal codes can achieve additional 2 dB gain or 50% complexity reduction at maximum, in low-power decoding scenarios.

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“…1. The N independent data streams from different information sources are encoded by nonbinary quasi-cyclic (QC) LDPC codes [4]. After the encoder, the OFDM transmitter processes the data streams in conventional way [3], [5].…”

Section: Proposed Mode-multiplexed Ofdm Systemmentioning

confidence: 99%