Nonbinary LDPC codes for optical communication systems
Ivan B. Djordjevic,Bane Vasic +1 more
TL;DR: A class of moderate-length nonbinary low-density parity-check codes for long-haul high-speed optical transmission systems and achieves a 9.9-dB coding gain at a bit-error rate of 10/sup -10/.
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Abstract: We propose a class of moderate-length nonbinary low-density parity-check (LDPC) codes for long-haul high-speed optical transmission systems. In particular, we present an LDPC code with 12.59% redundancy that achieves a 9.9-dB coding gain at a bit-error rate of 10/sup -10/. A similar coding gain is obtained for a long nonbinary LDPC code with a redundancy of only 6.7%.
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Citations
Stochastic Decoding of LDPC Codes over GF(q)
Sarkis Gabi,Shie Mannor,Warren J. Gross +2 more
- 14 Jun 2009
TL;DR: This paper presents an alternative decoding algorithm based on stochastic computation that has a very simple implementation and minimal performance loss when compared to the sum-product algorithm and demonstrates the performance when applied to a GF(16) code.
109
Quantum Low-Density Parity-Check Codes
Ivan Djordjevic
- 01 Jan 2012
TL;DR: This chapter is devoted to quantum LDPC codes, which have many advantages compared to other classes of quantum codes thanks to the sparseness of their quantum-check matrices.
99
Rate-Adaptive Coded Modulation for Fiber-Optic Communications
TL;DR: This work constructs a rate-adaptive CM scheme combining a single low-density parity-check code with a family of three signal constellations and using probabilistic signal shaping, and introduces a four-dimensional CM scheme, which shows a better tradeoff between digital signal processing complexity and transparent reach than existing methods.
Low-density parity-check codes for 40-gb/s optical transmission systems
Ivan B. Djordjevic,Sundararajan Sankaranarayanan,Sundararajan Sankaranarayanan,Shashi Kiran Chilappagari,Bane Vasic +4 more
TL;DR: In this article, the performance of three classes of forward error correction schemes for 40-Gb/s optical transmission systems is compared, and the analysis shows that the low-density parity-check (LDPC) codes perform better than the other codes in the waterfall region at bit error rates as low as 10-9.
Rate-Adaptive Modulation and Coding for Optical Fiber Transmission Systems
Gwang-Hyun Gho,Joseph M. Kahn +1 more
TL;DR: In this paper, a rate-adaptive optical transmission scheme using variable-rate forward error correction (FEC) codes and variable-size constellations at a fixed symbol rate was proposed.
References
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TL;DR: A log-domain decoding scheme for LDPC codes over GF(q) is introduced, which is mathematically equivalent to the conventional sum-product decoder but has advantages in terms of implementation, computational complexity and numerical stability.
Forward error correction based on block turbo code with 3-bit soft decision for 10-Gb/s optical communication systems
Takashi Mizuochi,Y. Miyata,Tetsuro Kobayashi,K. Ouchi,K. Kuno,K. Kubo,K. Shimizu,H. Tagami,Hideo Yoshida,Hachiro Fujita,M. Akita,Kuniaki Motoshima +11 more
TL;DR: The first experimental demonstration of a forward error correction (FEC) for 10-Gb/s optical communication systems based on a block turbo code (BTC) is reported and the ability of the proposed FEC system to achieve a receiver sensitivity of seven photons per information bit when combined with return-to-zero differential phase-shift keying modulation is demonstrated.
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