• Infrared and Laser Engineering
  • Vol. 51, Issue 6, 20210652 (2022)
Na Zhang1, Xizheng Ke2, Xunfeng Yuan1, and Lijun Li1
Author Affiliations
  • 1Electronic Information and Electrical Engineering College, Shangluo University, Shangluo 726000, China
  • 2School of Automation and Information, Xi’an University of Technology, Xi’an 710048, China
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    DOI: 10.3788/IRLA20210652 Cite this Article
    Na Zhang, Xizheng Ke, Xunfeng Yuan, Lijun Li. Research of adaptive modulation STBC-OCT precoding in MIMO-OFDM VLC system[J]. Infrared and Laser Engineering, 2022, 51(6): 20210652 Copy Citation Text show less

    Abstract

    An efficient precoding scheme combing adaptive modulation, space-time block code (STBC) and orthogonal circulant matrix transform (OCT) is proposed to improve the performance of multiple input-multiple output-orthogonal frequency division multiplexing (MIMO-OFDM) based visible light communication (VLC) systems in this work. A 2×2 MIMO-OFDM VLC system is designed and established to evaluate the performance of the proposed adaptive modulation STBC-OCT precoding scheme. The performances of bit error rate (BER), peak-to-average power ratio (PAPR) are investigated experimentally for different modulation and coding schemes. The performances of BER are studied in different direct current bias (DC) and driving peak-to-peak voltages (VPP) offsets. The experimental results show that the system using proposed adaptive modulated STBC-OCT precoding obtains a relatively flat and higher signal-to-noise ratio (SNR) values, lower PAPR compared with other precoding methods. The proposed scheme can obtain the best BER performance, and it is always lower than the 7% pre-forward error correction (pre-FEC) threshold of 3.8×10-3with the transmission distance is 0.5 m, DC is set to 2.7 V and VPP is 2.7-2.8 V, it can effectively overcome the bandwidth limitation of MIMO-OFDM VLC system and provide the best reliability.
    $ Z(k)=\left\{\begin{array}{cc}{\rm e}^{{-j{\pi un(n+2q)}}/ {N}}& N \; is \; even \; number\\ {\rm e}^{-j{\pi un(n+1+2q)}/ {N}}& N \; is \; odd \; number\end{array}\right. $(1)

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    $ S = X \times Z = \frac{1}{{\sqrt N }}\left[ {{X_1},{X_2}, \cdots {X_N}} \right] \times \left[ {\begin{array}{*{20}{c}} {\begin{array}{*{20}{c}} {{Z_1}}& {{Z_2}}& \cdots & {{Z_N}} \end{array}} \\ {\begin{array}{*{20}{c}} \;\;{{Z_N}}& {{Z_1}}& \cdots & {{Z_{N - 1}}} \end{array}} \\[-2pt] {\begin{array}{*{20}{c}} \vdots & \vdots & \cdots & \vdots \end{array}} \\ {\begin{array}{*{20}{c}} {{Z_2}}& {{Z_3}}& \cdots & {{Z_1}} \end{array}} \end{array}} \right] $(2)

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    $ SS = \left[ {\begin{array}{*{20}{c}} {{S_1}}&{ - S_2^ * } \\ {{S_2}}&{S_1^ * } \end{array}} \right] $(3)

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    $ Y = \eta H(t)SS(t) + N(t) $(4)

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    $ \begin{split} S N R(k)=\frac{1}{{\sigma }^{2}(k){Z}_{n}^{H}{\left[\left({\Vert {H}_{0}\Vert }_{F}^{2}\right)^{-1}\left({\Vert {H}_{1}\Vert }_{F}^{2}\right)^{-1} \cdots \left({\Vert {H}_{N-1}\Vert }_{F}^{2}\right)^{-1}\right]}^{\rm T}} \end{split}$(5)

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    $ BER \leqslant 0.2\exp \;\left( - 1.5\frac{{S NR\;(k)}}{{P - 1}}\right) $(6)

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    $ \left\lfloor {P(k) = 1 - \frac{{1.5\;S NR\;(k)}}{{\log \;(5\;BE{R_0})}}} \right\rfloor $(7)

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    $ {F_{i,k}} = \dfrac{1}{{\sqrt M }}\displaystyle\sum\limits_{n = 0}^{M - 1} {S S_{i,n}} {{\rm e}^{j\frac{{2\;\pi nk}}{M}}} $(8)

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    $ PAPR = \frac{{\max \left\lfloor {{{\left| {{F_{i,k}}} \right|}^2}} \right\rfloor}}{{E\left[ {{{\left| {{F_{i,k}}} \right|}^2}} \right]}} $(9)

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    $ CCDF = Prob\;(PAPR > PAP{R_0}) $(10)

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    Na Zhang, Xizheng Ke, Xunfeng Yuan, Lijun Li. Research of adaptive modulation STBC-OCT precoding in MIMO-OFDM VLC system[J]. Infrared and Laser Engineering, 2022, 51(6): 20210652
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