Abstract
This chapter is devoted to advanced channel coding and coded modulation techniques. After linear and BCH codes fundamentals, we provide the trellis description of linear block codes and describe the corresponding Viterbi decoding algorithm. After describing the fundamentals of convolutional, RS, concatenated, and product codes, we describe coding with interleaving as an efficient way to deal with burst of errors and fading effects. Significant space in the chapter is devoted to codes on graphs, in particular turbo, turbo product, and LDPC codes are described together with corresponding decoding algorithms. Regarding LDPC codes, both binary and nonbinary (NB) LDPC codes are introduced, and corresponding decoding algorithms as well as their FPGA implementation are described. Additionally, LDPC code design procedures are described, followed by rate adaptation. Rate-adaptive FPGA implementations of LDPC and generalized LDPC codes are described as well. The next portion of the chapter is devoted to coded modulation (CM) and unequal error protection (UEP). After providing the coded modulation fundamentals, we describe trellis-coded modulation (TCM), multilevel coding and UEP, bit-interleaved coded modulation (BICM), turbo TCM, and various hybrid multidimensional coded modulation schemes suitable for ultrahigh-speed optical transmission including multilevel nonbinary LDPC-coded modulation. After coded modulation sections, the focus of the chapter is on multidimensional turbo equalization. The following topics are described: nonlinear channels with memory, nonbinary MAP detection, sliding-window multidimensional turbo equalization, simulation study of multidimensional turbo equalization, and several experimental demonstrations including time-domain 4D-NB-LDPC-CM and quasi-single-mode transmission over transoceanic distances. In section on optimized signal constellation design and optimized bit-to-symbol map**s-based coded modulation, we describe multidimensional optimized signal constellation design (OSCD), EXIT chart analysis of OSCD map** rules, nonlinear OSCD-based coded modulation, and transoceanic multi-Tb/s transmission experiments enabled by OSCD. Finally, in adaptive coding and adaptive coded modulation section, we describe adaptive coded modulation, adaptive nonbinary LDPC-coded multidimensional modulation suitable for high-speed optical communications, and adaptive hybrid free-space optical (FSO)-RF-coded modulation. For better understanding, the set of problems is provided after concluding remarks.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
M. Cvijetic, I.B. Djordjevic, Advanced Optical Communication Systems and Networks (Artech House, Norwood, Jan. 2013)
I. Djordjevic, W. Ryan, B. Vasic, Coding for Optical Channels (Springer, New York, 2010)
S.B. Wicker, Error Control Systems for Digital Communication and Storage (Prentice Hall, Englewood Cliffs, 1995)
R.H. Morelos-Zaragoza, The Art of Error Correcting Coding, 2nd edn. (Wiley, Chichester, 2006)
D. Drajic, P. Ivanis, Introduction to Information Theory and Coding, 3rd edn. (Akademska Misao, Belgrade, 2009)
J.B. Anderson, S. Mohan, Source and Channel Coding: An Algorithmic Approach (Kluwer Academic Publishers, Boston/Dordrecht/London, 1991)
S. Lin, D.J. Costello, Error Control Coding: Fundamentals and Applications, 2nd edn. (Pearson Prentice Hall, Upper Saddle River, 2004)
T. Mizuochi et al., Forward error correction based on block turbo code with 3-bit soft decision for 10 Gb/s optical communication systems. IEEE J. Sel. Top. Quantum Electron. 10(2), 376–386 (Mar./Apr. 2004)
T. Mizuochi, et al., Next generation FEC for optical transmission systems, in Proceedings of OFC 2003, Paper ThN1
I.B. Djordjevic, M. Arabaci, L. Minkov, Next generation FEC for high-capacity communication in optical transport networks. J. Lightwave Technol. 27, 3518–3530 (2009)
I.B. Djordjevic, Advanced coding for optical communication systems, in Optical Fiber Telecommunications VI, ed. by I. Kaminow, T. Li, A. Willner, (Elsevier/Academic Press, Boston, May 2013), pp. 221–296
I.B. Djordjevic, On advanced FEC and coded modulation for ultra-high-speed optical transmission. IEEE Commun. Surv. Tutorials 18(99), 1–31 (1 Mar. 2016). https://doi.org/10.1109/COMST.2016.2536726
L.R. Bahl, J. Cocke, F. Jelinek, J. Raviv, Optimal decoding of linear codes for minimizing symbol error rate. IEEE Trans. Inf. Theory IT-20(2), 284–287 (Mar. 1974)
F.J. MacWilliams, N.J.A. Sloane, The Theory of Error-Correcting Codes (North Holland, Amsterdam, 1977)
M. Ivkovic, I.B. Djordjevic, B. Vasic, Calculation of achievable information rates of long-haul optical transmission systems using instanton approach. IEEE/OSA J. Lightwave Technol. 25, 1163–1168 (May 2007)
G. Bosco, P. Poggiolini, Long-distance effectiveness of MLSE IMDD receivers. IEEE Photon. Tehcnol. Lett. 18(9), 1037–1039 (1 May 2006)
M. Ivkovic, I. Djordjevic, P. Rajkovic, B. Vasic, Pulse energy probability density functions for long-haul optical fiber transmission systems by using instantons and edgeworth expansion. IEEE Photon. Technol. Lett. 19, 1604–1606 (15 Oct. 2007)
S. Haykin, Communication Systems (Wiley, Hoboken, 2004)
M.E. van Valkenburg, Network Analysis, 3rd edn. (Prentice-Hall, Englewood Cliffs, 1974)
B. Vucetic, J. Yuan, Turbo Codes-Principles and Applications (Kluwer Academic Publishers, Boston, 2000)
B.P. Smith, F.R. Kschischang, Future prospects for FEC in fiber-optic communications. IEEE J. Sel. Top. Quantum Electron. 16(5), 1245–1257 (Sept.–Oct. 2010)
R.M. Tanner, A recursive approach to low complexity codes. IEEE Tans. Inf. Theory IT-27, 533–547 (1981)
C. Berrou, A. Glavieux, P. Thitimajshima, Near Shannon limit error-correcting coding and decoding: turbo-codes, in Proceedings of the IEEE International Conference on Communications 1993 (ICC ‘93), vol 2, pp. 1064–1070, 23–26 May 1993
C. Heegard, S. Wicker, Turbo Codes (Kluwer Academic Press, Boston, 1999)
B. Moision, J. Hamkins, Deep space optical communications downlink budget: Modulation and coding, Jet Propulsion Laboratory, Pasadena, CA, Interplanetary Netw. Progr. Rep., pp. 42–154, Apr.–Jun. 2003
Available at: http://ipnpr.jpl.nasa.gov/progress_report/42-154/154K.pdf
B. Moision, J. Hamkins, Coded modulation for the deep space optical channel: serially concatenated pulse-position modulation, Jet Propulsion Laboratory, Pasadena, CA, Interplanetary Netw. Progr. Rep. 42–161, pp. 1–25, 15 May 2005. Available at: http://ipnpr.jpl.nasa.gov/progress_report/42-161/161T.pdf
W.E. Ryan, Concatenated convolutional codes and iterative decoding, in Wiley Encyclopedia in Telecommunications, ed. by J. G. Proakis, (Wiley, Hoboken, 2003)
R.M. Pyndiah, Near optimum decoding of product codes. IEEE Trans. Commun. 46, 1003–1010 (1998)
O.A. Sab, V. Lemarie, Block turbo code performances for long-haul DWDM optical transmission systems, in Proceedings of the OFC 2001, Paper ThS5
R.G. Gallager, Low Density Parity Check Codes (MIT Press, Cambridge, MA, 1963)
D.J.C. MacKay, Good error correcting codes based on very sparse matrices. IEEE Trans. Inf. Theory 45, 399–431 (1999)
T. Richardson, R. Urbanke, Modern Coding Theory (Cambridge University Press, Cambridge, 2008)
B. Vasic, I.B. Djordjevic, R. Kostuk, Low-density parity check codes and iterative decoding for long haul optical communication systems. J. Lightwave Technol. 21(2), 438–446 (Feb. 2003)
Z.-W. Li, L. Chen, L.-Q. Zeng, S. Lin, W. Fong, Efficient encoding of quasi-cyclic low-density parity-check codes. IEEE Trans. Commun. 54(1), 71–81 (Jan. 2006)
W.E. Ryan, An introduction to LDPC codes, in CRC Handbook for Coding and Signal Processing for Recording Systems, ed. by B. Vasic, (CRC Press, London, 2004)
W.E. Ryan, S. Lin, Channel Codes: Classical and Modern (Cambridge University Press, Cambridge, 2009)
F.R. Kschischang, B.J. Frey, H.-A. Loeliger, Factor graphs and the sum-product algorithm. IEEE Trans. Inf. Theory 47, 498–519 (Feb. 2001)
J. Chen, A. Dholakia, E. Eleftheriou, M. Fossorier, X.-Y. Hu, Reduced-complexity decoding of LDPC codes. IEEE Trans. Commun. 53, 1288–1299 (2005)
L. Lan, L. Zeng, Y.Y. Tai, L. Chen, S. Lin, K. Abdel-Ghaffar, Construction of quasi-cyclic LDPC codes for AWGN and binary erasure channels: a finite field approach. IEEE Trans. Inf. Theory 53, 2429–2458 (2007)
J.L. Fan, Array-codes as low-density parity-check codes, Second International Symposium on Turbo Codes, Brest, France, pp. 543–546, Sept. 2000
S. Kudekar, T.J. Richardson, R.L. Urbanke, Threshold saturation via spatial coupling: why convolutional LDPC ensembles perform so well over the BEC. IEEE Trans. Inf. Theory 57(2), 803–834 (Feb. 2011)
M. Lentmaier, G. Fettweis, K.S. Zigangirov, D. Costello, Approaching capacity with asymptotically regular LDPC codes, in Proceedings of the Information Theory and Applications 2009, San Diego, CA, USA, pp. 173–177, Feb. 2009
K. Sugihara, et al., A spatially-coupled type LDPC code with an NCG of 12 dB for optical transmission beyond 100 Gb/s, in Proceedings of the OFC/NFOEC 2013, Paper OM2B.4
D. Chang, et al., LDPC convolutional codes using layered decoding algorithm for high speed coherent optical transmission, in Proceedings of OFC/NFOEC 2012, Paper OW1H.4
Y. Zhang, I.B. Djordjevic, Staircase rate-adaptive LDPC-coded modulation for high-speed intelligent optical transmission, in Proceedings of the OFC/NFOEC 2014, Paper M3A.6
A.J. Felström, K.S. Zigangirov, Time-varying periodic convolutional codes with low-density parity-check matrix. IEEE Trans. Inf. Theory 45(6), 2181–2191 (1999)
I.B. Djordjevic, On the irregular nonbinary QC-LDPC-coded hybrid multidimensional OSCD-modulation enabling beyond 100 Tb/s optical transport. J. Lightwave Technol. 31(16), 2969–2975 (15 Aug. 2013)
M. Arabaci, I.B. Djordjevic, L. Xu, T. Wang, Nonbinary LDPC-coded modulation for rate-adaptive optical fiber communication without bandwidth expansion. IEEE Photon. Technol. Lett. 23(18), 1280–1282 (15 Sept. 2012)
M. Arabaci, I. B. Djordjevic, L. Xu, T. Wang, Hybrid LDPC-coded modulation schemes for optical communication systems, in Proceedings of the CLEO 2012, Paper CTh3C.3
M. Arabaci, I.B. Djordjevic, R. Saunders, R.M. Marcoccia, High-rate non-binary regular quasi-cyclic LDPC codes for optical communications. J. Lightwave Technol. 27(23), 5261–5267 (1 Dec. 2009)
P. Elias, Error-free coding. IRE Trans. Inf. Theory IT-4, 29–37 (Sept. 1954)
Y. Zhao, J. Qi, F.N. Hauske, C. **e, D. Pflueger, G. Bauch, Beyond 100G optical channel noise modeling for optimized soft-decision FEC performance, in Proceedings of the OFC/NFOEC 2012, Paper OW1H.3
F. Vacondio, et al., Experimental characterization of Gaussian-distributed nonlinear distortions, in Proceedings of the ECOC 2011, Paper We.7.B.1
F. Chang, K. Onohara, T. Mizuochi, Forward error correction for 100 G transport networks. IEEE Commun. Mag. 48(3), S48–S55 (Mar. 2010)
Y. Miyata, K. Sugihara, W. Matsumoto, K. Onohara, T. Sugihara, K. Kubo, H. Yoshida, T. Mizuochi, A triple-concatenated FEC using soft-decision decoding for 100 Gb/s optical transmission, in Proceedings of the OFC/NFOEC 2010, Paper OThL3
T. Mizuochi et al., Experimental demonstration of concatenated LDPC and RS code by FPGAs emulation. IEEE Photon. Technol. Lett. 21(18), 1302–1304 (Sept. 2009)
Z. Zhang, et al., Lowering LDPC error floors by postprocessing, in Proceedings of the IEEE GLOBECOM, 2008
G.J. Byers, F. Takawira, Fourier transform decoding of non-binary LDPC codes, in Proceedings Southern African Telecommunication Networks and Applications Conference (SATNAC), Sept. 2004
M. Davey, D.J.C. MacKay, Low-density parity check codes over GF(q). IEEE Commun. Lett. 2(6), 165–167 (1998)
L. Barnault, D. Declercq, Fast decoding algorithm for LDPC over GF(2q), in Proceedings of the ITW2003, pp. 70–73
C. Spagnol, W. Marnane, E. Popovici, FPGA implementations of LDPC over GF(2m) decoders. IEEE Workshop on Signal Processing Systems, Shanghai, China, pp. 273–278, 2007
D. Declercq, M. Fossorier, Decoding algorithms for nonbinary LDPC codes over GF(q). IEEE Trans. Commun. 55(4), 633–643 (2007)
V. Savin, Min-max decoding for non-binary LDPC codes, in Proceedings of the ISIT 2008, Toronto, ON, Canada, pp. 960–964, 6–11 July 2008
A. Voicila, F. Verdier, D. Declercq, M. Fossorier, P. Urard, Architecture of a low-complexity non-binary LDPC decoder for high order fields, in Proceedings of the ISIT 2007, pp. 1201–1206
D. Zou, I.B. Djordjevic, FPGA implementation of concatenated non-binary QC-LDPC codes for high-speed optical transport. Opt. Express 23(10), 14501–14509 (18 May 2015)
D. Zou, I. B. Djordjevic, FPGA implementation of advanced FEC schemes for intelligent aggregation networks, in Proceedings of the PhotonicsWest 2016, OPTO, Optical Metro Networks and Short-Haul Systems VIII, SPIE, San Francisco, CA, USA, vol. 9773, pp. 977309-1–977309-7, 13–18 Feb. 2016. (Invited Paper)
I.B. Djordjevic, S. Sankaranarayanan, B. Vasic, Projective plane iteratively decodable block codes for WDM high-speed long-haul transmission systems. IEEE/OSA J. Lightwave Technol. 22, 695–702 (Mar. 2004)
I.B. Djordjevic, B. Vasic, Performance of affine geometry low-density parity-check codes in long-haul optical communications. Eur. Trans. Telecommun. 15, 477–483 (2004)
I.B. Djordjevic, B. Vasic, Projective geometry low-density parity-check codes for ultra-long haul WDM high-speed transmission. IEEE Photon. Technol. Lett. 15, 784–786 (May 2003)
I.B. Djordjevic, S. Sankaranarayanan, B. Vasic, Irregular low-density parity-check codes for long haul optical communications. IEEE Photon. Technol. Lett. 16, 338–340 (Jan. 2004)
I.B. Djordjevic, O. Milenkovic, B. Vasic, Generalized low-density parity-check codes for optical communication systems. J. Lightwave Technol. 23(5), 1939–1946 (2005)
I.B. Djordjevic, L. Xu, T. Wang, M. Cvijetic, GLDPC codes with Reed-Muller component codes suitable for optical communications. IEEE Commun. Lett. 12(9), 684–686 (2008)
I.B. Djordjevic, T. Wang, Multiple component codes based generalized LDPC codes for high-speed optical transport. Opt. Express 22(14), 16694–16705 (2014)
D. Zou, I. B. Djordjevic, An FPGA design of generalized low-density parity-check codes for rate-adaptive optical transport networks. In Proceedings of the SPIE PhotonicsWest 2016, optical metro networks and short-haul systems VIII, SPIE, San Francisco, CA, USA, vol. 9773, pp. 97730M-1–97730M-6, 13–18 Feb. 2016
J. Boutros, O. Pothier, G. Zemor, Generalized low density (Tanner) codes, in Proceedings of the IEEE Intternational Conference on Communication (ICC’99), pp. 441–445, 1999
M. Lentmaier, K.S. Zigangirov, On generalized low-density parity-check codes based on Hamming component codes. IEEE Commun. Lett. 3(8), 248–250 (1999)
V.A. Zyablov, R. Johannesson, M. Loncar, Low-complexity error correction of Hamming-code-based LDPC codes. Probl. Inf. Transm. 45(2), 95–109 (2009)
I. Andersen, Combinatorial designs: construction methods, in Mathematics and Its Applications, (Ellis Horwood, Chichester, 1990)
M.-F. Huang, A. Tanaka, E. Ip, Y.-K. Huang, D. Qian, Y. Zhang, S. Zhang, P.N. Ji, I.B. Djordjevic, T. Wang, Y. Aono, S. Murakami, T. Tajima, T.J. **a, G.A. Wellbrock, Terabit/s Nyquist superchannels in high capacity fiber field trials using DP-16QAM and DP-8QAM modulation formats. J. Lightwave Technol. 32(4), 776–782 (15 Feb. 2014)
G.-H. Gho, J.M. Kahn, Rate-adaptive modulation and low-density parity-check coding for optical fiber transmission systems. J. Opt. Commun. Netw. 4(10), 760–768 (Oct. 2012)
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(3), 1820–1832 (2010)
L. Beygi, E. Agrell, P. Johannisson, M. Karlsson, A novel multilevel coded modulation scheme for fiber optical channel with nonlinear phase noise, in Proceedings of the IEEE GLOBECOM, 2010
J.L. Massey, Coding and modulation in digital communications, in Proceedings of the International Zurich Seminar on Digital Communications, Zurich, Switzerland, pp. E2(1)–E2(4), 1974
H. Imai, S. Hirakawa, A new multilevel coding method using error correcting codes. IEEE Trans. Inf. Theory IT-23(3), 371–377 (May 1977)
U. Wachsmann, R.F.H. Fischer, J.B. Huber, Multilevel codes: theoretical concepts and practical design rules. IEEE Trans. Inf. Theory 45(5), 1361–1391 (July 1999)
K.R. Narayanan, J. Li, Bandwidth efficient low density parity check codes using multilevel coding and iterative multistage decoding, in Proceedings of the 2nd Symposium on Turbo Codes and Related Topics, Brest, France, pp. 165–168, 2000
S. Benedetto, D. Divsalar, G. Montorsi, H. Pollara, Parallel concatenated trellis coded modulation, in Proceedings of the IEEE International Conference on Communications, Dallas, TX, USA, pp. 974–978, 1996
G. Caire, G. Taricco, E. Biglieri, Bit-interleaved coded modulation. IEEE Trans. Inf. Theory 44(3), 927–946 (May 1998)
J. Tan, G.L. Stüber, Analysis and design of symbol mappers for iteratively decoded BICM. IEEE Trans. Wirel. Comm. 4(2), 662–672 (Mar. 2005)
J. Hou, P.H. Siegel, L.B. Milstein, H.D. Pfitser, Capacity-approaching bandwidth-efficient coded modulation schemes based on low-density parity-check codes. IEEE Trans. Inf. Theory 49(9), 2141–2155 (2003)
L. Beygi et al., Coded modulation for fiber-optic networks. IEEE Sig. Proc. Mag. 31(2), 93–103 (Mar. 2014)
G. Ungerboeck, Channel coding with multilevel/phase signals. IEEE Trans. Inf. Theory IT-28, 55–67 (1982)
G.D. Forney, R.G. Gallager, G.R. Lang, F.M. Longstaff, S.U. Qureshi, Efficient modulation for band-limited channels. IEEE J. Sel. Areas Comm. SAC-2(5), 632–647 (1984)
G.D. Forney, Coset codes-part I: introduction and geometrical classification. IEEE Trans. Inf.. Theory 34(5), 1123–1151 (Sept. 1988)
A. Goldsmith, Wireless Communications (Cambridge University Press, Cambridge, 2005)
A.R. Calderbank, N.J.A. Sloane, New trellis codes based on lattices and cosets. IEEE Trans. Inf. Theory IT-33, 177–195 (1987)
G.D. Forney, Trellis sha**. IEEE Trans. Inf. Theory 38(2), 281–300 (Mar. 1992)
I.B. Djordjevic, B. Vasic, Multilevel coding in M-ary DPSK/differential QAM high-speed optical transmission with direct detection. IEEE/OSA J. Lightwave Technol. 24(1), 420–428 (Jan. 2006)
J. Hou, P.H. Siegel, L.B. Milstein, H.D. Pfitser, Capacity approaching bandwidth-efficient coded modulation schemes based on low-density parity-check codes. IEEE Trans. Inf. Theory 49(9), 2141–2155 (Sept. 2003)
S. ten Brink, Designing iterative decoding schemes with the extrinsic information transfer chart. Intern. J. Electron. Commun. 54, 389–398 (Dec. 2000)
J. Hou, P.H. Siegel, L.B. Milstein, Design of multi-input multi-output systems based on low-density parity-check codes. IEEE Trans. Commun. 53, 601–611 (Apr. 2005)
I.B. Djordjevic, M. Cvijetic, L. Xu, T. Wang, Using LDPC-coded modulation and coherent detection for ultra high-speed optical transmission. IEEE/OSA J. Lightwave Technol. 25, 3619–3625 (Nov. 2007)
S. Le Goff, A. Glavieux, C. Berrou, Turbo-codes and high-spectral efficiency modulation, Proceedings of the 1994 IEEE International Conference on Communications (ICC’94), New Orleans, LA, USA, pp. 645–649, 1994
P. Robertson, T. Wörz, Coded modulation scheme employing turbo codes. Electron. Lett. 31, 1546–1547 (Aug. 1995)
P. Robertson, T. Wörz, Bandwidth-efficient turbo trellis-coded modulation using punctured component codes. IEEE J. Sel. Areas Commun. 16(2), 206–218 (Feb. 1998)
I.B. Djordjevic, B. Vasic, Nonlinear BCJR equalizer for suppression of intrachannel nonlinearities in 40 Gb/S optical communications systems. Opt. Express 14, 4625–4635 (29 May 2006)
I.B. Djordjevic, L.L. Minkov, L. Xu, T. Wang, Suppression of fiber nonlinearities and PMD in coded-modulation schemes with coherent detection by using turbo equalization. IEEE/OSA J. Opt. Commun. Netw. 1(6), 555–564 (Nov. 2009)
R. Koetter, A.C. Singer, M. Tüchler, Turbo equalization. IEEE Sig. Proc. Mag. 21(1), 67–80 (Jan. 2004)
C. Duan, et al., A low-complexity sliding-window turbo equalizer for nonlinearity compensation, in Proceedings of the OFC 2012, Paper JW2A.59
T. Fujimori, et al., A study on the effectiveness of turbo equalization with FEC for nonlinearity compensation in coherent WDM transmissions, in Proceedings OECC/PS 2013, Paper OM2B
C. Douillard, M. Jézéquel, C. Berrou, A. Picart, P. Didier, A. Glavieux, Iterative correction of intersymbol interference: turbo equalization. Eur. Trans. Telecommun. 6, 507–511 (1995)
E. Ip, J.M. Kahn, Compensation of dispersion and nonlinear impairments using digital backpropagation. J. Lightwave Technol. 26(20), 3416–3425 (2008)
E. Ip, J.M. Kahn, Nonlinear impairment compensation using backpropagation, in Optical Fibre, New Developments, ed. by C. Lethien, (In-Tech, Vienna, Dec. 2009) (Invited Chapter)
Y. Zhang, S. Zhang, I.B. Djordjevic, On the pragmatic turbo equalizer for optical communications, in Proceedings of the CLEO-PR&OECC/PS 2013, Paper ThR2-4
Y. Zhang, M. Arabaci, I.B. Djordjevic, Evaluation of four-dimensional nonbinary LDPC-coded modulation for next-generation long-haul optical transport networks. Opt. Express 20(8), 9296–9301 (9 Apr. 2012)
Y. Zhang, S. Zhang, I.B. Djordjevic, F. Yaman, T. Wang, Extending 100G transatlantic optical transmission over legacy DMF fibers using time-domain four-dimensional nonbinary LDPC-coded modulation, In Proceedings of ECOC 2013, Paper P.4.18
F. Yaman, S. Zhang, Y.-K. Huang, E. Ip, J.D. Downie, W.A. Wood, A. Zakharian, S. Mishra, J. Hurley, Y. Zhang, I.B. Djordjevic, M.-F. Huang, E. Mateo, K. Nakamura, T. Inoue, Y. Inada, T. Ogata, First quasi-single-mode transmission over transoceanic distance using few-mode fibers, in Proceedings of the OFC Postdeadline Papers, Paper Th5C.7, Los Angeles, CA, USA, pp. 22–26, Mar. 2015
Z.H. Peric, I.B. Djordjevic, S.M. Bogosavljevic, M.C. Stefanovic, Design of signal constellations for Gaussian channel by iterative polar quantization, in Proceedings of the 9th Mediterranean Electrotechnical Conference, Tel-Aviv, Israel, vol. 2, pp. 866–869, 18–20 May, 1998
I.B. Djordjevic, H.G. Batshon, L. Xu, T. Wang, Coded polarization-multiplexed iterative polar modulation (PM-IPM) for beyond 400 Gb/s serial optical transmission, in Proceedings of the OFC/NFOEC 2010, Paper OMK2
A.P.T. Lau, J.M. Kahn, Signal design and detection in presence of nonlinear phase noise. J. Lightwave Technol. 25(10), 3008–3016 (Oct. 2007)
T. Liu, I.B. Djordjevic, On the optimum signal constellation design for high-speed optical transport networks. Opt. Express 20(18), 20396–20406 (27 Aug. 2012)
T. Liu, I.B. Djordjevic, Optimal signal constellation design for ultra-high-speed optical transport in the presence of nonlinear phase noise. Opt. Express 22(26), 32188–32198 (29 Dec. 2014)
R.E. Blahut, Computation of channel capacity and rate distortion functions. IEEE Trans. Inf. Theory IT-18, 460–473 (1972)
T. Liu, I.B. Djordjevic, Multi-dimensional optimal signal constellation sets and symbol map**s for block-interleaved coded-modulation enabling ultra-high-speed optical transport. IEEE Photonics J. 6(4), Paper 5500714 (Aug. 2014)
T. Liu, I.B. Djordjevic, T. Wang, Optimal signal constellation design for ultra-high-speed optical transport in the presence of phase noise, In Proceedings of the CLEO 2014, Paper STu3J.7
T. Liu, I.B. Djordjevic, M. Li, Multidimensional signal constellation design for channel dominated with nonlinear phase noise, in Proceedings of the 12th International Conference on Telecommunications in Modern Satellite, Cable and Broadcasting Services – TELSIKS 2015, Nis, Serbia, pp. 133–136, 14–17 Oct. , 2015
I.B. Djordjevic, A. Jovanovic, M. Cvijetic, Z.H. Peric, Multidimensional vector quantization-based signal constellation design enabling beyond 1 Pb/s serial optical transport networks. IEEE Photonics J. 5(4), Paper 7901312 (Aug. 2013)
S. Zhang, F. Yaman, M.-F. Huang, Y.-K. Huang, Y. Zhang, I. B. Djordjevic, E. Mateo, 40Tb/s transoceanic transmission with span length of 121km and EDFA-only amplification, in Proceedings of the OECC/ACOFT 2014, Paper THPDP1-3
S. Chandrasekhar, X. Liu. B. Zhu, D.W. Peckham, Transmission of a 1.2-Tb/s 24-carrier no-guard-interval coherent OFDM superchannel over 7200-km of ultra-large-area fiber, in Proceedings of the ECOC 2009, Paper PD2.6
T. Pfau, S. Hoffmann, R. Noé, Hardware-efficient coherent digital receiver concept with feedforward carrier recovery for M-QAM constellations. J. Lightwave Technol. 27, 989–999 (2009)
X. Liu, S. Chandrasekhar, et al., Digital coherent superposition for performance improvement of spatially multiplexed coherent optical OFDM superchannels. Opt. Express 20, B595–B600 (2012)
J.G. Proakis, Digital Communications, 4th edn. (McGraw-Hill, New York, 2001)
X. Liu, S. Chandrasekhar, P.J. Winzer, Digital signal processing techniques enabling multi-Tb/s superchannel transmission. IEEE. Sig. Proc. Mag. 31(2), 16–24 (Mar. 2014)
T.H. Lotz et al., Coded PDM-OFDM transmission with shaped 256-iterative-polar modulation achieving 11.15-b/s/Hz intrachannel spectral efficiency and 800-km reach. J. Lightwave Technol. 31, 538–545 (2013)
A. Goldsmith, S.-G. Chua, Adaptive coded modulation for fading channels. IEEE Trans. Commun. 46, 595–601 (May 1998)
I.B. Djordjevic, G.T. Djordjevic, On the communication over strong atmospheric turbulence channels by adaptive modulation and coding. Opt. Express 17(20), 18250–18262 (25 Sept. 2009)
I.B. Djordjevic, Adaptive modulation and coding for free-space optical channels. IEEE/OSA J. Opt. Commun. Netw. 2(5), 221–229 (May 2010)
I.B. Djordjevic, Adaptive modulation and coding for communication over the atmospheric turbulence channels, in Proceedings of the IEEE Photonics Society Summer Topicals 2009, Paper TuD3. 3, Newport Beach, CA, USA, 20–22 July 2009
I.B. Djordjevic, G.T. Djordjevic, Adaptive modulation and coding for generalized fading channels, in Proceedings of the IEEE TELSIKS 2009, Nis, Serbia, pp. 418–422, 7–9 Oct. 2009
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Djordjevic, I.B. (2022). Advanced Coding and Coded Modulation Techniques. In: Advanced Optical and Wireless Communications Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-98491-5_9
Download citation
DOI: https://doi.org/10.1007/978-3-030-98491-5_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-98490-8
Online ISBN: 978-3-030-98491-5
eBook Packages: EngineeringEngineering (R0)