High Dimensional Differential Optical Spatial Modulation with High Spectrum Efficiency

Huiqin Wang; Yicong Mao; Rui Huang; Qingbin Peng; Minghua Cao

doi:10.3788/AOS202242.0106004

Acta Optica Sinica, Volume. 42, Issue 1, 0106004(2022)

High Dimensional Differential Optical Spatial Modulation with High Spectrum Efficiency

Huiqin Wang^1、*, Yicong Mao¹, Rui Huang², Qingbin Peng¹, and Minghua Cao¹

Author Affiliations

¹School of Computer and Communication, Lanzhou University of Technology, Lanzhou, Gansu 730050, China

²School of Electrical Engineering and Information Engineering, Lanzhou University of Technology, Lanzhou, Gansu 730050, China

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Figures & Tables(12)

Fig. 1. HD-DOSM system model

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Fig. 2. Comparison of BER of (2,n_r, 2, 2) HD-DOSM system for different turbulence intensity

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Fig. 3. Amplitude ratio e varying with BER under different SNR conditions

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Fig. 4. Theoretical BER curves of (2, 2, 2, 2) HD-DOSM system for different amplitude ratio e

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Fig. 5. Influence of symbol modulation on system performance of HD-DOSM

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Fig. 6. BER curves of different systems for spectrum efficiency of 1 bit·s^-1·Hz^-1

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Fig. 7. Transmission rate and complexity of different systems for spectrum efficiency of 1 bit·s^-1·Hz^-1

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Fig. 8. Performance comparison between proposed algorithm and ML algorithm

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Fig. 9. Relationship between complexity of different decoding algorithms and order L of PPM

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Table 1. Mapping matrices of lasers
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Table 1. Mapping matrices of lasers
Symbol Laser index matrix Index order Symbol Laser index matrix Index order
0 $[\begin{array}{l} E & 0 \\ 0 & E \end{array}]$ (1 2) 1 $[\begin{array}{l} 0 & E \\ E & 0 \end{array}]$ (2 1)

Table 2. Comparison of spectrum efficiency, transmission rate, and complexity of different systems

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Table 2. Comparison of spectrum efficiency, transmission rate, and complexity of different systems

Modulation	Spectrum efficiency /(bit·s^-1·Hz^-1)	Transmissionrate /bpcu	Complexity
HD-DOSM	$\frac{floor [lo g_{2} (n_{t}!)] + n_{t} lo g_{2} L + lo g_{2} M}{n_{t} L}$	floor[log₂(n_t!)]+n_tlog₂L+log₂M	$2^{floor [lo g_{2} (n_{t}!)]}$ M $L^{n_{t}}$ (n_tL+1)n_rn_tL
HD-DOSM_1	$\frac{floor [lo g_{2} (n_{t}!)] + n_{t} lo g_{2} (LM)}{n_{t} L}$	floor[log₂(n_t!)]+n_tlog₂(LM)	$2^{floor [lo g_{2} (n_{t}!)]} {(ML)}^{n_{t}}$ (n_tL+1)n_rn_tL
DOSM-PAM	$\frac{floor [lo g_{2} (n_{t}!)] + lo g_{2} M}{n_{t}}$	floor[log₂(n_t!)]+log₂M	$2^{floor [lo g_{2} (n_{t}!)]}$ (n_t+1)n_rn_tM
DOSM-PPM	$\frac{floor [lo g_{2} (n_{t}!)] + n_{t} lo g_{2} L}{n_{t} L}$	floor[log₂(n_t!)]+n_tlog₂L	$2^{fl oor [lo g_{2} (n_{t}!)]} L^{n_{t}}$ (n_tL+1)n_rn_tL
DOSSK	$\frac{floor [lo g_{2} (n_{t}!)]}{n_{t}}$	floor[log₂(n_t!)]	$2^{floor [lo g_{2} (n_{t}!)]}$ n_rn_t(n_rn_t+1)
SPPAM	$\frac{lo g_{2} (n_{t} LM)}{L}$	log₂(n_tLM)	$2^{floor [lo g_{2} (n_{t}!)]}$ ML(n_t+1)n_rL

Table 3. Comparison of complexity of detection algorithms
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Table 3. Comparison of complexity of detection algorithms
Decoding algorithm HD-DOSM DOSM-PPM
ML algorithm $2^{floor [lo g_{2} (n_{t}!)]}$ M $L^{n_{t}}$ (n_tL+1)n_rn_tL $2^{floor [lo g_{2} (n_{t}!)]} L^{n_{t}}$ (n_tL+1)n_rn_tL
Proposed algorithm $2^{floor [lo g_{2} (n_{t}!)]}$ M(2n_rn_tL²+n_rn_tL) $2^{floor [lo g_{2} (n_{t}!)]}$ (2n_rn_tL²+n_rn_tL)

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Huiqin Wang, Yicong Mao, Rui Huang, Qingbin Peng, Minghua Cao. High Dimensional Differential Optical Spatial Modulation with High Spectrum Efficiency[J]. Acta Optica Sinica, 2022, 42(1): 0106004

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