Abstract

As a solution to limited bandwidth and high energy consumption of information infrastructure as well as heterogeneity of optical networks, a hybrid multidimensional coded modulation scheme is proposed employing all available electrical and optical degrees of freedom. Electrical basis functions are based on either modified orthogonal polynomials or prolate spheroidal wave functions, while optical ones on polarization and spatial mode states. The proposed scheme is both multi-Tb/s and beyond 100 Tb/s enabling technology. Additionally, the proposed scheme provides the adaptive, software-defined, and dynamic allocation of bandwidth with fine granularity. The adaptive coding is based on irregular nonbinary quasi-cyclic LDPC codes, providing record net coding gains.

© 2013 IEEE

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  1. P. Winzer, "Beyond 100 G Ethernet," IEEE Commun. Mag. 48, 26-30 (2010).
  2. I. B. Djordjevic, "Spatial-domain-based hybrid multidimensional coded-modulation schemes enabling multi-Tb/s optical transport," J. Lightw. Technol. 30, 2315-2328 (2012).
  3. I. Djordjevic, "Generalized OFDM (GOFDM) for ultra-high-speed optical transmission," Opt. Express 19, 6969-6979 (2011).
  4. D. Chang, F. Yu, Z. Xiao, Y. Li, N. Stojanovic, C. Xie, X. Shi, X. Xu, Q. Xiong, "FPGA verification of a single QC-LDPC code for 100 Gb/s optical systems without error floor down to BER of $10^{-15}$ ," Proc. Opt. Fiber Communication Conf. and Exposition (OFC/NFOEC), 2011 and the Nat. Fiber Optic Engineers Conf. (2011).
  5. Y. Miyata, "A triple-concatenated FEC using soft-decision decoding for 100 Gb/s optical transmission," Proc. OFC/NFOEC'10 (2010).
  6. I. Anderson, Combinatorial Designs and Tournaments (Oxford Univ. Press, 1997).
  7. I. B. Djordjevic, T. Wang, "Orthogonal polynomials based hybrid coded-modulation for multi-Tb/s optical transport," Proc. CLEO-PR&OECC/PS 2013 (2013).
  8. I. B. Djordjevic, M. Cvijetic, "Optical transport exceeding 10 Tb/s based on adaptive LDPC-coded multidimensional spatial-spectral scheme and orthogonal prolate spheroidal wave functions," Proc. IEEE ICTON 2013 (2013).
  9. V. I. Smirnov, "On the theory of orthogonal polynomials of a complex variable," RussianZh. Leningrad. Fiz.-Mat. Obshch. 2, 155-179 (1928).
  10. L. B. Michael, M. Gliavami, R. Kohno, "Multiple pulse generator for ultra-wideband communication using Hermite polynomial based orthogonal pulses," Proc. 2002 IEEE Conf. Ultra Wideband Syst. and Technologies (2002) pp. 47-51.
  11. D. Slepian, "Prolate spheroidal wave functions, Fourier analysis and uncertainty V: The discrete case," Bell Syst. Tech. J. 57, 1371-1430 (1978).
  12. M. Arabaci, "Layered decoding of nonbinary LDPC codes suitable for high-speed optical communications," Proc. OFC/NFOEC 2011 (2011).
  13. D. Chang, "LDPC convolutional codes using layered decoding algorithm for high speed coherent optical transmission," Proc. OFC/NFOEC 2012 (2012).
  14. T. Liu, I. B. Djordjevic, "On the optimum signal constellation design for high-speed optical transport networks," Opt. Express 20, 20396-20406 (2012).
  15. I. B. Djordjevic, T. Wang, "Rate-adaptive irregular QC-LDPC codes from pairwise balanced designs for ultra-high-speed optical transport," Proc. CLEO 2013 (2013).
  16. M. Cvijetic, I. B. Djordjevic, Advanced Optical Communication Systems and Networks (Artech House, 2013).
  17. P. J. Winzer, "Optical networking beyond WDM," IEEE Photonics J. 4, 647-651 (2012).
  18. Y. Zhao, J. Qi, F. N. Hauske, C. Xie, D. Pflueger, G. Bauch, "Beyond 100 G optical channel noise modeling for optimized soft-decision FEC performance," Proc. Opt. Fiber Communication Conf. and Exposition (OFC/NFOEC), 2012 and the Nat. Fiber Optic Engineers Conf. (2012).
  19. M. Arabaci, I. B. Djordjevic, R. Saunders, R. M. Marcoccia, "Polarization-multiplexed rate-adaptive non-binary-LDPC-coded multilevel modulation with coherent detection for optical transport networks," Opt. Express 18, 1820-1832 (2010).
  20. R. Ryf, "32-bit/s/Hz spectral efficiency WDM transmission over 177-km few-mode fiber," Proc. Postdeadline Papers OFC/NFOEC 2013 (2013).
  21. E. Ip, " $146 \lambda \times\,$ 6 $\,\times\,$ 19-Gbaud wavelength- and mode-division multiplexed transmission over 10 $\,\times\,$ 50-km spans of few-mode fiber with a gain-equalized few-mode EDFA," Proc. Postdeadline Papers OFC/NFOEC 2013 (2013).
  22. X. Chen, "Equalization of two-mode fiber based MIMO signals with larger receiver sets," Opt. Express 20, B413-B418 (2012).
  23. X. Chen, "Reception of mode-division multiplexed superchannel via few-mode compatible optical add/drop multiplexer," Opt. Express 20, 14302-14307 (2012).

2012 (5)

I. B. Djordjevic, "Spatial-domain-based hybrid multidimensional coded-modulation schemes enabling multi-Tb/s optical transport," J. Lightw. Technol. 30, 2315-2328 (2012).

T. Liu, I. B. Djordjevic, "On the optimum signal constellation design for high-speed optical transport networks," Opt. Express 20, 20396-20406 (2012).

P. J. Winzer, "Optical networking beyond WDM," IEEE Photonics J. 4, 647-651 (2012).

X. Chen, "Equalization of two-mode fiber based MIMO signals with larger receiver sets," Opt. Express 20, B413-B418 (2012).

X. Chen, "Reception of mode-division multiplexed superchannel via few-mode compatible optical add/drop multiplexer," Opt. Express 20, 14302-14307 (2012).

2011 (1)

I. Djordjevic, "Generalized OFDM (GOFDM) for ultra-high-speed optical transmission," Opt. Express 19, 6969-6979 (2011).

2010 (2)

1978 (1)

D. Slepian, "Prolate spheroidal wave functions, Fourier analysis and uncertainty V: The discrete case," Bell Syst. Tech. J. 57, 1371-1430 (1978).

1928 (1)

V. I. Smirnov, "On the theory of orthogonal polynomials of a complex variable," RussianZh. Leningrad. Fiz.-Mat. Obshch. 2, 155-179 (1928).

Bell Syst. Tech. J. (1)

D. Slepian, "Prolate spheroidal wave functions, Fourier analysis and uncertainty V: The discrete case," Bell Syst. Tech. J. 57, 1371-1430 (1978).

IEEE Commun. Mag. (1)

P. Winzer, "Beyond 100 G Ethernet," IEEE Commun. Mag. 48, 26-30 (2010).

IEEE Photonics J. (1)

P. J. Winzer, "Optical networking beyond WDM," IEEE Photonics J. 4, 647-651 (2012).

J. Lightw. Technol. (1)

I. B. Djordjevic, "Spatial-domain-based hybrid multidimensional coded-modulation schemes enabling multi-Tb/s optical transport," J. Lightw. Technol. 30, 2315-2328 (2012).

Opt. Express (3)

I. Djordjevic, "Generalized OFDM (GOFDM) for ultra-high-speed optical transmission," Opt. Express 19, 6969-6979 (2011).

T. Liu, I. B. Djordjevic, "On the optimum signal constellation design for high-speed optical transport networks," Opt. Express 20, 20396-20406 (2012).

X. Chen, "Equalization of two-mode fiber based MIMO signals with larger receiver sets," Opt. Express 20, B413-B418 (2012).

Opt. Express (2)

Zh. Leningrad. Fiz.-Mat. Obshch. (1)

V. I. Smirnov, "On the theory of orthogonal polynomials of a complex variable," RussianZh. Leningrad. Fiz.-Mat. Obshch. 2, 155-179 (1928).

Other (13)

L. B. Michael, M. Gliavami, R. Kohno, "Multiple pulse generator for ultra-wideband communication using Hermite polynomial based orthogonal pulses," Proc. 2002 IEEE Conf. Ultra Wideband Syst. and Technologies (2002) pp. 47-51.

M. Arabaci, "Layered decoding of nonbinary LDPC codes suitable for high-speed optical communications," Proc. OFC/NFOEC 2011 (2011).

D. Chang, "LDPC convolutional codes using layered decoding algorithm for high speed coherent optical transmission," Proc. OFC/NFOEC 2012 (2012).

I. B. Djordjevic, T. Wang, "Rate-adaptive irregular QC-LDPC codes from pairwise balanced designs for ultra-high-speed optical transport," Proc. CLEO 2013 (2013).

M. Cvijetic, I. B. Djordjevic, Advanced Optical Communication Systems and Networks (Artech House, 2013).

Y. Zhao, J. Qi, F. N. Hauske, C. Xie, D. Pflueger, G. Bauch, "Beyond 100 G optical channel noise modeling for optimized soft-decision FEC performance," Proc. Opt. Fiber Communication Conf. and Exposition (OFC/NFOEC), 2012 and the Nat. Fiber Optic Engineers Conf. (2012).

D. Chang, F. Yu, Z. Xiao, Y. Li, N. Stojanovic, C. Xie, X. Shi, X. Xu, Q. Xiong, "FPGA verification of a single QC-LDPC code for 100 Gb/s optical systems without error floor down to BER of $10^{-15}$ ," Proc. Opt. Fiber Communication Conf. and Exposition (OFC/NFOEC), 2011 and the Nat. Fiber Optic Engineers Conf. (2011).

Y. Miyata, "A triple-concatenated FEC using soft-decision decoding for 100 Gb/s optical transmission," Proc. OFC/NFOEC'10 (2010).

I. Anderson, Combinatorial Designs and Tournaments (Oxford Univ. Press, 1997).

I. B. Djordjevic, T. Wang, "Orthogonal polynomials based hybrid coded-modulation for multi-Tb/s optical transport," Proc. CLEO-PR&OECC/PS 2013 (2013).

I. B. Djordjevic, M. Cvijetic, "Optical transport exceeding 10 Tb/s based on adaptive LDPC-coded multidimensional spatial-spectral scheme and orthogonal prolate spheroidal wave functions," Proc. IEEE ICTON 2013 (2013).

R. Ryf, "32-bit/s/Hz spectral efficiency WDM transmission over 177-km few-mode fiber," Proc. Postdeadline Papers OFC/NFOEC 2013 (2013).

E. Ip, " $146 \lambda \times\,$ 6 $\,\times\,$ 19-Gbaud wavelength- and mode-division multiplexed transmission over 10 $\,\times\,$ 50-km spans of few-mode fiber with a gain-equalized few-mode EDFA," Proc. Postdeadline Papers OFC/NFOEC 2013 (2013).

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