Nonbinary LDPC codes for optical communication systems

Djordjević, Ivan B.; Vasić, Bane

doi:10.1109/lpt.2005.856337

Cited by 57 publications

(36 citation statements)

References 13 publications

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“…But, due to the evolution of the processing capacity, it is expected that the complexity of non-binary codes to no longer pose a disadvantage in relation to binary codes. This is confirmed by the extensive studies of NB-LDPC codes, [13][14][15][16][17].…”

Section: Introductionsupporting

confidence: 57%

Multi-non-binary turbo codes

Balta

Douillard

Lucaciu

2013

J Wireless Com Network

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This paper presents a new family of turbo codes called multi-non-binary turbo codes (MNBTCs) that generalizes the concept of turbo codes to multi-non-binary (MNB) parallel concatenated convolutional codes (PCCC). An MNBTC incorporates, as component encoders, recursive and systematic multi-non-binary convolutional encoders. The more compact data structure for these encoders confers some advantages on MNBTCs over other types of turbo codes, such as better asymptotic behavior, better convergence, and reduced latency. This paper presents in detail the structure and operation of an MNBTC: MNB encoding, trellis termination, Max-Log-MAP decoding adapted to the MNB case. It also shows an example of MNBTC whose performance is compared with the state-of-the-art turbo code adopted in the DVB-RCS2 standard.

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Section: Introductionsupporting

confidence: 57%

Multi-non-binary turbo codes

Balta

Douillard

Lucaciu

2013

J Wireless Com Network

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“…Symbol detection with variable code rate selection and cyclic rotation described above is able to completely compensate for the first-order PMD with differential group delay (DGD) of even 1500 ps. The aggregate data rate of more than 100 Gb/s can also be achieved based on 64-QAM and polarisation diversity [26]. However, to deal with PMD, someone requires using turbo code rate equalisation along with the adaptive filtration approach.…”

Section: Resultsmentioning

confidence: 99%

Peak-to-average power ratio reduction using coded signal in optical-orthogonal frequency division multiplexing systems

Bhatia

Kamal²,

Kaler

2012

IET Optoelectron.

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A new coding scheme is proposed using a variable rate for an all-optical sampling orthogonal frequency-division multiplexing system, to minimise the peak-to-average power ratio. Cyclic rotation and code rate variation are shown to improve the peak envelope power. The proposed idea comprises of searching for a variable code rate selection for the binary input data and cyclic rotation, followed by codeword inversion.

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“…Briefly, the complexity of SPA for nonbinary codes is higher [14] compared to that of binary LDPC codes [16]. However, the highly regular structure of parity-check matrix of block-circulant codes proposed by authors in [15] facilitates the implementation. Moreover, the basic operations in lower Galois field are not difficult to implement (see [35]), and recently several efficient iterative decoding algorithms for nonbinary LDPC codes have been proposed [14], [36], [37].…”

Section: Comparison Of Structured Ldpc Codes and Turbo Product Cmentioning

confidence: 99%

Low-density parity-check codes for 40-gb/s optical transmission systems

Djordjević

Sankaranarayanan

Chilappagari

et al. 2006

IEEE J. Select. Topics Quantum Electron.

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Abstract-In this paper, we compare performance of three classes of forward error correction schemes for 40-Gb/s optical transmission systems. The first class is based on the concatenation of Reed-Solomon codes and this is employed in the state-of-theart fiber-optics communication systems. The second class is the turbo product codes with Bose-Chaudhuri-Hocquenghen component codes. The application of these codes in optical communication systems was extensively studied by Sab and Lemarie, and Mizuochi et al. The third class is the low-density parity-check (LDPC) codes that have attracted much attention over the past decade. We present enhanced decoding algorithms for Turbo product codes and LDPC codes that use probability density function of output sequences instead of calculating initial likelihood ratios assuming (inaccurate) Gaussian or chi-square approximation. The analysis in this paper shows that the LDPC codes perform better than the other codes in the waterfall region at bit error rates as low as 10 −9 . We also presented error floors results obtained by analyzing decoding failures of hard-decision iterative decoders.

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Nonbinary LDPC codes for optical communication systems

Cited by 57 publications

References 13 publications

Multi-non-binary turbo codes

Multi-non-binary turbo codes

Peak-to-average power ratio reduction using coded signal in optical-orthogonal frequency division multiplexing systems

Low-density parity-check codes for 40-gb/s optical transmission systems

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