Performance-Enhanced Three-Dimensional Trellis Coded Modulation Based on Four-Winged Fractional-Order Chaotic Encryption For Physical Layer Security

In this paper, an encrypted three-dimensional (3D) trellis-coded modulation (TCM) based on mapping by set-partitioning (MSP) of 3D constellation is proposed, for highly reliable and secure short-reach transmission. 3D-TCM encoder encryption and 3D constellation rotation are realized with the implementation of a 4D four-winged fractional-order chaotic (FWFC) system and MSP of 3D constellation, the suggested approach demonstrates higher coding gain and chaotic encryption. A 35 Gb/s (5 Gb/s × 7) encrypted 3D-TCM-32CAP signal transmission over ∼2 km seven-core fiber is experimentally demonstrated. The results show that the encrypted 3D-TCM-32CAP obtains a 2.9 dB and 3.8 dB gain in receiver sensitivity at a bit error rate (BER) of 10-4 under the same bit rate, when compared with conventional 2D-TCM-32CAP and 3D-32CAP, respectively. Furthermore, a handsome key space of the proposed scheme is obtained ∼2.205 × 10160, which is large enough to effectively guard against malicious attacks from illegal optical network units. In a nutshell, the experimental results indicate the proposed encrypted 3D-TCM-32CAP scheme combines the superiority of BER and security performance.

[1]  Jinnan Zhang,et al.  High-security multi-level constellation shaping trellis-coded modulation method based on clustering mapping rules. , 2022, Optics express.

[2]  R. Ullah,et al.  Three-dimensional constellation diagram with a hierarchical level design for multi-core transmission. , 2022, Optics Express.

[3]  Jianye Zhao,et al.  Enhancing the Reliability and Security of OFDM-PON Using Modified Lorenz Chaos Based on the Linear Properties of FFT , 2021, Journal of Lightwave Technology.

[4]  Yongfeng Wu,et al.  Chaotic constant composition distribution matching for physical layer security in a PS-OFDM-PON. , 2020, Optics express.

[5]  Xing Xu,et al.  Secure Optical 3D Probabilistic Shaping CAP System Based on Spherical Constellation Masking , 2020, IEEE Photonics Technology Letters.

[6]  Bo Liu,et al.  5D data iteration in a multi-wavelength OFDM-PON using the hyperchaotic system. , 2020, Optics letters.

[7]  Jianye Zhao,et al.  Enhanced 3D-CAP modulation with information-inserted time slots for seven-core fiber transmissions. , 2020, Optics express.

[8]  Xing Xu,et al.  Three-Dimensional Probabilistically Shaped CAP Modulation Based on Constellation Design Using Regular Tetrahedron Cells , 2020, Journal of Lightwave Technology.

[9]  Naoya Wada,et al.  10.66 Peta-Bit/s Transmission over a 38-Core-Three-Mode Fiber , 2020, 2020 Optical Fiber Communications Conference and Exhibition (OFC).

[10]  Qi Zhang,et al.  Probabilistic shaped trellis coded modulation with generalized frequency division multiplexing for data center optical networks. , 2019, Optics express.

[11]  Fred Buchali,et al.  IM/DD Beyond Bandwidth Limitation for Data Center Optical Interconnects , 2019, Journal of Lightwave Technology.

[12]  Xiangjun Xin,et al.  200  Gbit/s/λ PDM-PAM-4 PON system based on intensity modulation and coherent detection , 2019, IEEE/OSA Journal of Optical Communications and Networking.

[13]  Lin Sun,et al.  Frequency-resolved adaptive probabilistic shaping for DMT-modulated IM-DD optical interconnects. , 2019, Optics express.

[14]  Naoya Wada,et al.  1.2 Pb/s Throughput Transmission Using a 160 $\mu$m Cladding, 4-Core, 3-Mode Fiber , 2019, Journal of Lightwave Technology.

[15]  Fan Zhang,et al.  Dyadic Probabilistic Shaping of PAM-4 and PAM-8 for Cost-Effective VCSEL-MMF Optical Interconnection , 2019, IEEE Photonics Journal.

[16]  Bo Liu,et al.  A robust probabilistic shaping PON based on symbol-level labeling and rhombus-shaped modulation. , 2018, Optics express.

[17]  Wei Zhang,et al.  Physical-Enhanced Secure Strategy for OFDMA-PON Using Chaos and Deoxyribonucleic Acid Encoding , 2018, Journal of Lightwave Technology.

[18]  Weisheng Hu,et al.  Performance evaluation of XG-PON based mobile front-haul transport in cloud-RAN architecture , 2017, IEEE/OSA Journal of Optical Communications and Networking.

[19]  Weisheng Hu,et al.  A Key Space Enhanced Chaotic Encryption Scheme for Physical Layer Security in OFDM-PON , 2017, IEEE Photonics Journal.

[20]  Lin Sun,et al.  Multiband Three-Dimensional Carrierless Amplitude Phase Modulation for Short Reach Optical Communications , 2016, Journal of Lightwave Technology.

[21]  Lin Chen,et al.  Experimental Demonstration of an IFFT/FFT Size Efficient DFT-Spread OFDM for Short Reach Optical Transmission Systems , 2016, Journal of Lightwave Technology.

[22]  Ming Tang,et al.  Experimental Demonstration of a 16.27 Gb/s 2-D Coherent Optical OFDM System With 3-D Signal Mapper and 2-D IFFT Modulator , 2016, Journal of Lightwave Technology.

[23]  Mengfan Cheng,et al.  Novel design of N-dimensional CAP filters for 10  Gb/s CAP-PON system. , 2015, Optics letters.

[24]  Bo Liu,et al.  A novel 3D constellation-masked method for physical security in hierarchical OFDMA system. , 2013, Optics express.

[25]  Qi Zhang,et al.  Rapid soft-decision trellis coded 32QAM for free space optical communication , 2012, 2012 Asia Communications and Photonics Conference (ACP).

[26]  I. Monroy,et al.  Experimental Investigations of 3-D-/4-D-CAP Modulation With Directly Modulated VCSELs , 2012, IEEE Photonics Technology Letters.

[27]  Zhenxing Chen,et al.  Construction of Higher-Level 3-D Signal Constellations and Their Accurate Symbol Error Probabilities in AWGN , 2011, IEEE Transactions on Signal Processing.

[28]  Xiangjun Xin,et al.  Secure OFDM-PON Based on Chaos Scrambling , 2011, IEEE Photonics Technology Letters.

[29]  Seog Geun Kang,et al.  An OFDM with 3-D signal mapper and 2-D IDFT modulator , 2008, IEEE Communications Letters.

[30]  Erik Agrell,et al.  Trellis-Coded Modulation in PSK and DPSK Communications , 2006, 2006 European Conference on Optical Communications.

[31]  F. Buchali,et al.  Optical trellis-coded modulation (oTCM) , 2004, Optical Fiber Communication Conference, 2004. OFC 2004.

[32]  Keshab K. Parhi,et al.  Multidimensional carrierless AM/PM systems for digital subscriber loops , 1999, IEEE Trans. Commun..

[33]  Guanrong Chen,et al.  YET ANOTHER CHAOTIC ATTRACTOR , 1999 .

[34]  G. Ungerboeck,et al.  Trellis-coded modulation with redundant signal sets Part II: State of the art , 1987, IEEE Communications Magazine.

[35]  G. Ungerboeck,et al.  Trellis-coded modulation with redundant signal sets Part I: Introduction , 1987, IEEE Communications Magazine.

[36]  Robert M. May,et al.  Simple mathematical models with very complicated dynamics , 1976, Nature.

[37]  Ying-Qian Zhang,et al.  An Efficient Image Encryption Scheme Based on S-Boxes and Fractional-Order Differential Logistic Map , 2020, IEEE Access.

[38]  Chongfu Zhang,et al.  Security Improvement for OFDM-PON via DNA Extension Code and Chaotic Systems , 2020, IEEE Access.

[39]  Hegui Zhu,et al.  2D Logistic-Modulated-Sine-Coupling-Logistic Chaotic Map for Image Encryption , 2019, IEEE Access.

[40]  Klaus Grobe,et al.  Physical layer aspects of NG-PON2 standards–Part 2: System design and technology feasibility [Invited] , 2016, IEEE/OSA Journal of Optical Communications and Networking.

[41]  Gottfried Ungerboeck,et al.  Channel coding with multilevel/phase signals , 1982, IEEE Trans. Inf. Theory.