A complex-valued Vandermonde precoding technique for VLC-OFDM systems

Abstract

High peak-to-average power ratio (PAPR) is the main disadvantage of visible light communication-based orthogonal frequency division multiplexing (VLC-OFDM) systems. To address this problem, a novel precoding method is proposed in this paper. The complex-valued precoding matrix is constructed by a Vandermonde matrix. The researched results show the proposed precoding scheme has better PAPR performance when compared to the conventional real-valued precoding methods. Moreover, a general closed-form expression of bit error rate (BER) for Vandermonde precoded VLC-OFDM is derived for multipath fading channel. The obtained BER formula shows that Vandermonde precoding can improve the BER performance of VLC-OFDM system over multipath fading channel. This is verified by the simulation results. The researched results also show that different precoding schemes have the same BER performance but different PAPR performance.

Keywords

A

References

[1] ZhangX, BabarZ, PetropoulosP, et al.. The evolution of optical OFDM. IEEE communications surveys & tutorials, 2021, 23(3): 1430-1457[J]

[2] AlrakahH T, GutemaT Z, SinanovicS, et al.. PAPR reduction in DCO-OFDM based WDM VLC. Journal of lightwave technology, 2022, 40(19): 6359-6365[J]

[3] QiuJ, WangJ L, LianJ, et al.. Clipping distortion analysis for DFT-precoded visible light communication OFDM systems with dimming control. IEEE internet of things journal, 2024, 11(22): 37246-37256[J]

[4] YangT, LiG, LiuT, et al.. Study of PAPR mitigation in OFDM-VLC system by SCMA codebook design. Optoelectronics letters, 2024, 20(9): 543-548[J]

[5] JiangT, WuY. An overview: peak-to-average power ratio reduction techniques for OFDM signals. IEEE transactions on broadcasting, 2008, 54(2): 257-268[J]

[6] LiH, JiangY, ZhuX. Power allocation for ACO-OFDM systems with upper clipping and limited bandwidth. ICC 2024-IEEE International Conference on Communications, June 9–13, 2024, Denver, CO, USA, 2024, New York. IEEE. 37133718[C]

[7] XiaL, WangX, SunZ, et al.. Signal clipping at transmitter and receiver of O-OFDM for VLC under optical power constraint. China communications, 2022, 19(6): 154-168[J]

[8] LinY P, PhoongS M. BER minimized OFDM systems with channel independent precoders. IEEE transactions on signal processing, 2003, 15(9): 2369-2380[J]

[9] AhmedM S, BoussaktaS, SharifB S, et al.. OFDM based on low complexity transform to increase multipath resilience and reduce PAPR. IEEE transactions on signal processing, 2011, 59(12): 5994-6007[J]

[10] HasanM M. VLM precoded SLM technique for PAPR reduction in OFDM systems. Wireless personal communications, 2013, 73: 791-801[J]

[11] FengZ, WuQ, TangM, et al.. Dispersion-tolerant DDO-OFDM system and simplified adaptive modulation scheme using CAZAC precoding. Journal of lightwave technology, 2016, 34(11): 2743-2751[J]

[12] DeepaT, VappangiS, ManiV V. Performance analysis of novel precoding matrix techniques for optical OFDM-based visible light communication systems. Optics and laser technology, 2022, 154108293[J]

[13] FanZ, ZhaoJ. Chirp-like polyphase sequence based discrete circulant transform spread OFDM for bandwidth-limited IM/DD systems. Journal of lightwave technology, 2022, 40(8): 2283-2295[J]

[14] WenH, ChenH, ChenQ, et al.. Performance enhanced dual-mode index modulation OFDM with OCT precoding in VLC systems. Optics communications, 2023, 530129191[J]

[15] SharanN, GhoraiS K. PAPR reduction and non-linearity alleviation using hybrid of precoding and companding in a visible light communication (VLC) system. Optical and quantum electronics, 2022, 536304[J]

[16] LiY, DengR, HeJ, et al.. DFT-spread combined with clipping method to reduce the PAPR in VLC-OFDM system. Optoelectronics letters, 2017, 13(3): 229-232[J]

[17] SemperS, RömerF, HotzT, et al.. Sparsity order estimation from a single compressed observation vector. IEEE transactions on signal processing, 2018, 66(15): 3958-3971[J]

[18] LingX, WangJ, LiangX, et al.. Offset and power optimization for DCO-OFDM in visible light communication systems. IEEE transactions on signal processing, 2016, 64(2): 349-363[J]

[19] ProakisJ GDigital communications, 1995, New York. McGraw Hill. 276280[M]

[20] StoicaP, HeH, LiJ. New algorithms for designing unimodular sequences with good correlation properties. IEEE transactions on signal processing, 2009, 57(4): 1415-1425[J]

[21] HeJ, XuL, ZhouZ. Performance enhancement of W-band RoF system using 4D trellis coded modulation OFDM with precoding. Journal of lightwave technology, 2022, 40(18): 6151-6157[J]

[22] ZhuX D, ZhuG X, JiangT. Reducing the peak-to-average power ratio using unitary matrix transformation. IET communications, 2009, 3(2): 161-171[J]

[23] KaliA, KhuntiaB S, SabatS L, et al.. A low-complexity design for complex multiplication using radix-4 booth encoding. 2024 IEEE 4th International Conference on VLSI Systems, Architecture, Technology and Applications, May 17–18, 2024, Bangalore, India, 2024, New York. IEEE. 15[C]

[24] TangY J, ZhangX. Low-complexity parallel Chien search architecture based on Vandermonde matrix decomposition. IEEE transactions on very large scale integration (VLSI) systems, 2024, 32(9): 1744-1748[J]

RIGHTS & PERMISSIONS

Tianjin University of Technology