Mitigating the Impact of Noise on Nonlinear Frequency Division Multiplexing
In the past years, nonlinear frequency division multiplexing (NFDM) has been investigated as a potentially revolutionary technique for nonlinear optical fiber communication. However, while NFDM is able to exploit the Kerr nonlinearity, its performance lags behind that of conventional systems. In thi...
Saved in:
Published in | Applied sciences Vol. 10; no. 24; p. 9099 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
MDPI AG
01.12.2020
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | In the past years, nonlinear frequency division multiplexing (NFDM) has been investigated as a potentially revolutionary technique for nonlinear optical fiber communication. However, while NFDM is able to exploit the Kerr nonlinearity, its performance lags behind that of conventional systems. In this work, we first highlight that current implementations of NFDM are strongly suboptimal, and, consequently, oversensitive to noise: the modulation does not ensure a large minimum distance between waveforms, while the detection is not tailored to the statistics of noise. Next, we discuss improved detections strategies and modulation techniques, proposing some effective approaches able to improve NFDM. Different flavors of NFDM are compared through simulations, showing that (i) the NFDM performance can be significantly improved by employing more effective detection strategies, with a 5.6 dB gain in Q-factor obtained with the best strategy compared to the standard strategy; (ii) an additional gain of 2.7 dB is obtained by means of a simple power-tilt modulation strategy, bringing the total gain with respect to standard NFDM to 8.3 dB; and (iii) under some parameters range (rate efficiency η≤30%), the combination of improved modulation and detection allows NFDM to outperform conventional systems using electronic dispersion compensation. |
---|---|
AbstractList | In the past years, nonlinear frequency division multiplexing (NFDM) has been investigated as a potentially revolutionary technique for nonlinear optical fiber communication. However, while NFDM is able to exploit the Kerr nonlinearity, its performance lags behind that of conventional systems. In this work, we first highlight that current implementations of NFDM are strongly suboptimal, and, consequently, oversensitive to noise: the modulation does not ensure a large minimum distance between waveforms, while the detection is not tailored to the statistics of noise. Next, we discuss improved detections strategies and modulation techniques, proposing some effective approaches able to improve NFDM. Different flavors of NFDM are compared through simulations, showing that (i) the NFDM performance can be significantly improved by employing more effective detection strategies, with a 5.6 dB gain in Q-factor obtained with the best strategy compared to the standard strategy; (ii) an additional gain of 2.7 dB is obtained by means of a simple power-tilt modulation strategy, bringing the total gain with respect to standard NFDM to 8.3 dB; and (iii) under some parameters range (rate efficiency η≤30% ), the combination of improved modulation and detection allows NFDM to outperform conventional systems using electronic dispersion compensation. |
Author | Secondini, Marco Civelli, Stella Forestieri, Enrico |
Author_xml | – sequence: 1 givenname: Stella orcidid: 0000-0002-3571-202X surname: Civelli fullname: Civelli, Stella – sequence: 2 givenname: Enrico orcidid: 0000-0001-6802-8104 surname: Forestieri fullname: Forestieri, Enrico – sequence: 3 givenname: Marco orcidid: 0000-0001-5883-5850 surname: Secondini fullname: Secondini, Marco |
BookMark | eNpNkE9PAjEUxBuDiYic_AJ7N6v9t-32aFCQCHrR8-bRbbFk2a5tMfLtXcQY3mUmM8nvJXOJBq1vDULXBN8ypvAddB3BlCus1BkaUixFzjiRgxN_gcYxbnB_irCS4CF6Xrrk1pBcu87Sh8nm2w50yrzNXryLJvNtb9rGtQZCNg3mc2davc8e3JeLri-Xuya5rjHfPeAKnVtoohn_6Qi9Tx_fJk_54nU2n9wvck2VSrlcMYEtSMs4K4tSSwW1rTFgBkJSI0tmBaWyrClwAlKsNADVXIIphLXashGaH7m1h03VBbeFsK88uOo38GFdQUhON6aqcamEoYL1L3nNbckLQagEJgsqBDmwbo4sHXyMwdh_HsHVYdbqZFb2A1e3a6g |
CitedBy_id | crossref_primary_10_1109_ACCESS_2023_3330965 crossref_primary_10_1364_OE_419609 crossref_primary_10_1364_OE_480794 crossref_primary_10_1038_s41598_022_12141_4 crossref_primary_10_1016_j_optlastec_2024_110971 crossref_primary_10_1364_OE_419314 crossref_primary_10_1070_QEL17655 crossref_primary_10_1364_OE_414885 |
Cites_doi | 10.1364/OE.26.012057 10.1109/LPT.2018.2860124 10.1109/JLT.2019.2904102 10.1103/PhysRevApplied.13.054021 10.1109/JLT.2017.2668474 10.1364/OE.23.008317 10.1364/OE.26.017360 10.1103/PhysRevLett.113.013901 10.1007/s10092-010-0029-2 10.1364/OL.43.005985 10.1364/OPTICA.4.000307 10.1364/OFC.2020.W4A.7 10.1109/LPT.2018.2874204 10.1109/ECOC.2017.8346231 10.23919/PIERS.2018.8597613 10.1109/JLT.2017.2654493 10.1109/TIWDC.2015.7323325 10.1364/CLEO_SI.2020.SF2L.5 10.1109/TIT.2014.2321143 10.1109/TIT.2019.2941479 10.1016/0021-9991(92)90370-E 10.1038/ncomms12710 10.1109/JLT.2020.3016685 10.3390/e22060639 10.1364/OE.26.027978 10.1364/OFC.2018.W1G.5 10.1364/OPTICA.5.000263 10.1109/JLT.2019.2902961 10.1364/OE.22.026720 10.1137/1.9781611970883 10.1109/LPT.2017.2722040 10.1109/JLT.2018.2794475 10.1038/nphoton.2017.118 10.1364/OE.24.018353 10.1364/OE.25.026437 10.1103/RevModPhys.68.423 |
ContentType | Journal Article |
DBID | AAYXX CITATION DOA |
DOI | 10.3390/app10249099 |
DatabaseName | CrossRef Directory of Open Access Journals |
DatabaseTitle | CrossRef |
DatabaseTitleList | CrossRef |
Database_xml | – sequence: 1 dbid: DOA name: Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Engineering Sciences (General) |
EISSN | 2076-3417 |
ExternalDocumentID | oai_doaj_org_article_d0896e2633604d4f8456127a3752661f 10_3390_app10249099 |
GroupedDBID | .4S 2XV 5VS 7XC 8CJ 8FE 8FG 8FH AADQD AAFWJ AAYXX ABJCF ADBBV AFKRA AFPKN AFZYC ALMA_UNASSIGNED_HOLDINGS APEBS ARAPS ARCSS ATCPS BBNVY BCNDV BENPR BHPHI BKSAR CCPQU CITATION CZ9 D1I D1J D1K GROUPED_DOAJ HCIFZ IAO ITC K6- K6V K7- KB. KC. KQ8 L6V LK5 LK8 M0K M7P M7R M7S MODMG M~E N95 OK1 P62 PATMY PCBAR PDBOC PIMPY PROAC PYCSY RIG TUS |
ID | FETCH-LOGICAL-c299t-7b360fa7f343858c79adfd0a03a672e783f62278d2a41a76bcaa2c47ae56ffcf3 |
IEDL.DBID | DOA |
ISSN | 2076-3417 |
IngestDate | Tue Oct 22 15:15:18 EDT 2024 Fri Aug 23 04:49:29 EDT 2024 |
IsDoiOpenAccess | true |
IsOpenAccess | true |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 24 |
Language | English |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c299t-7b360fa7f343858c79adfd0a03a672e783f62278d2a41a76bcaa2c47ae56ffcf3 |
ORCID | 0000-0002-3571-202X 0000-0001-5883-5850 0000-0001-6802-8104 |
OpenAccessLink | https://doaj.org/article/d0896e2633604d4f8456127a3752661f |
ParticipantIDs | doaj_primary_oai_doaj_org_article_d0896e2633604d4f8456127a3752661f crossref_primary_10_3390_app10249099 |
PublicationCentury | 2000 |
PublicationDate | 2020-12-01 |
PublicationDateYYYYMMDD | 2020-12-01 |
PublicationDate_xml | – month: 12 year: 2020 text: 2020-12-01 day: 01 |
PublicationDecade | 2020 |
PublicationTitle | Applied sciences |
PublicationYear | 2020 |
Publisher | MDPI AG |
Publisher_xml | – name: MDPI AG |
References | Civelli (ref_9) 2017; 29 Haus (ref_2) 1996; 68 Kamalian (ref_7) 2016; 24 Gemechu (ref_40) 2018; 30 ref_35 ref_34 ref_33 Prilepsky (ref_4) 2014; 113 Le (ref_6) 2014; 22 Gui (ref_17) 2018; 26 ref_31 Le (ref_41) 2015; 23 Yousefi (ref_3) 2014; 60 Civelli (ref_15) 2018; 26 Sedov (ref_37) 2018; 43 Tavakkolnia (ref_19) 2017; 35 Goossens (ref_10) 2017; 25 Civelli (ref_13) 2018; 26 Manakov (ref_38) 1974; 38 Turitsyn (ref_5) 2017; 4 Gui (ref_11) 2017; 35 Rodriguez (ref_30) 2011; 48 Gaiarin (ref_36) 2018; 30 Derevyanko (ref_8) 2016; 7 Yousefi (ref_18) 2019; 66 Civelli (ref_16) 2019; 37 Boffetta (ref_28) 1992; 102 Pankratova (ref_21) 2020; 13 ref_24 ref_23 Prati (ref_20) 2018; 9 ref_22 Gaiarin (ref_25) 2020; 38 Gaiarin (ref_39) 2018; 5 ref_1 ref_29 ref_27 ref_26 Yangzhang (ref_32) 2019; 37 Le (ref_12) 2017; 11 Aref (ref_14) 2018; 36 |
References_xml | – volume: 26 start-page: 12057 year: 2018 ident: ref_13 article-title: Decision-Feedback Detection Strategy for Nonlinear Frequency-Division Multiplexing publication-title: Opt. Express doi: 10.1364/OE.26.012057 contributor: fullname: Civelli – volume: 30 start-page: 1589 year: 2018 ident: ref_40 article-title: Dual Polarization Nonlinear Frequency Division Multiplexing Transmission publication-title: IEEE Photonics Technol. Lett. doi: 10.1109/LPT.2018.2860124 contributor: fullname: Gemechu – volume: 37 start-page: 2335 year: 2019 ident: ref_16 article-title: Dual-polarization NFDM transmission with continuous and discrete spectral modulation publication-title: J. Light. Technol. doi: 10.1109/JLT.2019.2904102 contributor: fullname: Civelli – volume: 13 start-page: 054021 year: 2020 ident: ref_21 article-title: Signal-Noise Interaction in Optical-Fiber Communication Systems Employing Nonlinear Frequency-Division Multiplexing publication-title: Phys. Rev. Appl. doi: 10.1103/PhysRevApplied.13.054021 contributor: fullname: Pankratova – volume: 35 start-page: 2086 year: 2017 ident: ref_19 article-title: Capacity analysis of signaling on the continuous spectrum of nonlinear optical fibers publication-title: J. Light. Technol. doi: 10.1109/JLT.2017.2668474 contributor: fullname: Tavakkolnia – volume: 38 start-page: 248 year: 1974 ident: ref_38 article-title: On the theory of two-dimensional stationary self-focusing of electromagnetic waves publication-title: Sov. Phys. J. Exp. Theor. Phys. contributor: fullname: Manakov – volume: 23 start-page: 8317 year: 2015 ident: ref_41 article-title: Nonlinear inverse synthesis technique for optical links with lumped amplification publication-title: Opt. Express doi: 10.1364/OE.23.008317 contributor: fullname: Le – volume: 26 start-page: 17360 year: 2018 ident: ref_15 article-title: Polarization-multiplexed nonlinear inverse synthesis with standard and reduced-complexity NFT processing publication-title: Opt. Express doi: 10.1364/OE.26.017360 contributor: fullname: Civelli – volume: 113 start-page: 013901 year: 2014 ident: ref_4 article-title: Nonlinear inverse synthesis and eigenvalue division multiplexing in optical fiber channels publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.113.013901 contributor: fullname: Prilepsky – volume: 48 start-page: 75 year: 2011 ident: ref_30 article-title: Numerical solution of the nonlinear Schrödinger equation, starting from the scattering data publication-title: Calcolo doi: 10.1007/s10092-010-0029-2 contributor: fullname: Rodriguez – volume: 43 start-page: 5985 year: 2018 ident: ref_37 article-title: Soliton content in the standard optical OFDM signal publication-title: Opt. Lett. doi: 10.1364/OL.43.005985 contributor: fullname: Sedov – volume: 4 start-page: 307 year: 2017 ident: ref_5 article-title: Nonlinear Fourier transform for optical data processing and transmission: Advances and perspectives publication-title: Optica doi: 10.1364/OPTICA.4.000307 contributor: fullname: Turitsyn – ident: ref_35 – ident: ref_26 doi: 10.1364/OFC.2020.W4A.7 – volume: 30 start-page: 1983 year: 2018 ident: ref_36 article-title: Dual-polarization NFDM transmission using distributed Raman amplification and NFT-domain equalization publication-title: IEEE Photonics Technol. Lett. doi: 10.1109/LPT.2018.2874204 contributor: fullname: Gaiarin – ident: ref_31 doi: 10.1109/ECOC.2017.8346231 – ident: ref_24 doi: 10.23919/PIERS.2018.8597613 – volume: 35 start-page: 1542 year: 2017 ident: ref_11 article-title: Alternative decoding methods for optical communications based on nonlinear Fourier transform publication-title: J. Light. Technol. doi: 10.1109/JLT.2017.2654493 contributor: fullname: Gui – ident: ref_29 doi: 10.1109/TIWDC.2015.7323325 – ident: ref_33 doi: 10.1364/CLEO_SI.2020.SF2L.5 – volume: 60 start-page: 4312 year: 2014 ident: ref_3 article-title: Information Transmission Using the Nonlinear Fourier Transform, Parts I–III publication-title: IEEE Trans. Inf. Theory doi: 10.1109/TIT.2014.2321143 contributor: fullname: Yousefi – volume: 66 start-page: 478 year: 2019 ident: ref_18 article-title: Linear and nonlinear frequency-division multiplexing publication-title: IEEE Trans. Inf. Theory doi: 10.1109/TIT.2019.2941479 contributor: fullname: Yousefi – volume: 102 start-page: 252 year: 1992 ident: ref_28 article-title: Computation of the Direct Scattering Transform for the Nonlinear Schroedinger Equation publication-title: J. Comput. Phys. doi: 10.1016/0021-9991(92)90370-E contributor: fullname: Boffetta – ident: ref_27 – volume: 7 start-page: 12710 year: 2016 ident: ref_8 article-title: Capacity estimates for optical transmission based on the nonlinear Fourier transform publication-title: Nat. Commun. doi: 10.1038/ncomms12710 contributor: fullname: Derevyanko – volume: 38 start-page: 6465 year: 2020 ident: ref_25 article-title: Experimental demonstration of nonlinear frequency division multiplexing transmission with neural network receiver publication-title: J. Light. Technol. doi: 10.1109/JLT.2020.3016685 contributor: fullname: Gaiarin – ident: ref_34 doi: 10.3390/e22060639 – volume: 9 start-page: 87 year: 2018 ident: ref_20 article-title: Some results on discrete eigenvalues for the Stochastic Nonlinear Schrödinger Equation in fiber optics publication-title: Commun. Appl. Ind. Math. contributor: fullname: Prati – volume: 26 start-page: 27978 year: 2018 ident: ref_17 article-title: Nonlinear frequency division multiplexing with b-modulation: Shifting the energy barrier publication-title: Opt. Express doi: 10.1364/OE.26.027978 contributor: fullname: Gui – ident: ref_23 doi: 10.1364/OFC.2018.W1G.5 – volume: 5 start-page: 263 year: 2018 ident: ref_39 article-title: Dual-polarization nonlinear Fourier transform-based optical communication system publication-title: Optica doi: 10.1364/OPTICA.5.000263 contributor: fullname: Gaiarin – volume: 37 start-page: 1570 year: 2019 ident: ref_32 article-title: Dual-polarization non-linear frequency-division multiplexed transmission with b-modulation publication-title: J. Light. Technol. doi: 10.1109/JLT.2019.2902961 contributor: fullname: Yangzhang – volume: 22 start-page: 26720 year: 2014 ident: ref_6 article-title: Nonlinear inverse synthesis for high spectral efficiency transmission in optical fibers publication-title: Opt. Express doi: 10.1364/OE.22.026720 contributor: fullname: Le – ident: ref_1 doi: 10.1137/1.9781611970883 – ident: ref_22 – volume: 29 start-page: 1332 year: 2017 ident: ref_9 article-title: Why Noise and Dispersion may Seriously Hamper Nonlinear Frequency-Division Multiplexing publication-title: IEEE Photonics Technol. Lett. doi: 10.1109/LPT.2017.2722040 contributor: fullname: Civelli – volume: 36 start-page: 1289 year: 2018 ident: ref_14 article-title: Modulation over nonlinear Fourier spectrum: Continuous and discrete spectrum publication-title: J. Light. Technol. doi: 10.1109/JLT.2018.2794475 contributor: fullname: Aref – volume: 11 start-page: 570 year: 2017 ident: ref_12 article-title: Nonlinear signal multiplexing for communication beyond the Kerr nonlinearity limit publication-title: Nat. Photonics doi: 10.1038/nphoton.2017.118 contributor: fullname: Le – volume: 24 start-page: 18353 year: 2016 ident: ref_7 article-title: Periodic nonlinear Fourier transform for fiber-optic communications, Part I-II publication-title: Opt. Express doi: 10.1364/OE.24.018353 contributor: fullname: Kamalian – volume: 25 start-page: 26437 year: 2017 ident: ref_10 article-title: Polarization-division multiplexing based on the nonlinear Fourier transform publication-title: Opt. Express doi: 10.1364/OE.25.026437 contributor: fullname: Goossens – volume: 68 start-page: 423 year: 1996 ident: ref_2 article-title: Solitons in optical communications publication-title: Rev. Mod. Phys. doi: 10.1103/RevModPhys.68.423 contributor: fullname: Haus |
SSID | ssj0000913810 |
Score | 2.2804458 |
Snippet | In the past years, nonlinear frequency division multiplexing (NFDM) has been investigated as a potentially revolutionary technique for nonlinear optical fiber... |
SourceID | doaj crossref |
SourceType | Open Website Aggregation Database |
StartPage | 9099 |
SubjectTerms | coherent communication inverse scattering transform Kerr nonlinearity nonlinear Fourier transform nonlinear frequency division multiplexing |
Title | Mitigating the Impact of Noise on Nonlinear Frequency Division Multiplexing |
URI | https://doaj.org/article/d0896e2633604d4f8456127a3752661f |
Volume | 10 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV09T8MwED2hssCAaAFRPioPHWCIcGLHdkYKVAXUCiEqdYuc2EZdEtQWCf49_giQjYUtiiIrepe7dxffPQMMScmJwZrY6JeSiEquosJI63hKUGUyVWTK_YeczthkTh8W6aJ11JfrCQvywAG4K4VFxnTCCGGYKmqEY_yES8JTxy3GR1-ctYopH4Oz2ElXhYE8Yut6tx8cO3k87FVefymopdTvKWW8D3tNLoiuwzt0YUtXPdhtKQT2oNv43hpdNALRlwfwOF0GZYzqFdn8Dd37SUdUGzSrl2uN6speeAUMuULjVWiW_kS3yzBIjqZNE-GHXeAQ5uO7l5tJ1ByKEJWWOTYRLywQRnJDqNvTK3kmlVFYYiIZTzQXxDA33qoSSWPJWVFKmZSUS50yY0pDjqBT1ZU-BiR0SqX1X5MWMY0NF5JksWAFZVRjonkfht845W9B-yK3NYODM2_B2YeRw_DnESdY7W9YM-aNGfO_zHjyH4ucwk7iymHfbXIGnc3qXZ_bnGFTDGB7dDd7eh74z-QLzVG9_w |
link.rule.ids | 315,783,787,867,2109,27936,27937 |
linkProvider | Directory of Open Access Journals |
openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Mitigating+the+Impact+of+Noise+on+Nonlinear+Frequency+Division+Multiplexing&rft.jtitle=Applied+sciences&rft.au=Civelli%2C+Stella&rft.au=Forestieri%2C+Enrico&rft.au=Secondini%2C+Marco&rft.date=2020-12-01&rft.issn=2076-3417&rft.eissn=2076-3417&rft.volume=10&rft.issue=24&rft.spage=9099&rft_id=info:doi/10.3390%2Fapp10249099&rft.externalDBID=n%2Fa&rft.externalDocID=10_3390_app10249099 |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2076-3417&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2076-3417&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2076-3417&client=summon |