Layered Minimum Sum Decoding Algorithm Improved by Introducing Layer-Weight Ascend Scheduling Strategy

Yu Liu; Lin Bai; Chan Wang; Yaohui Hao; Jiemin Li

doi:10.3788/LOP202259.0706002

Laser & Optoelectronics Progress, Volume. 59, Issue 7, 0706002(2022)

Layered Minimum Sum Decoding Algorithm Improved by Introducing Layer-Weight Ascend Scheduling Strategy

Yu Liu, Lin Bai^*, Chan Wang, Yaohui Hao, and Jiemin Li

School of Communications and Information Engineering, Xi'an University of Posts and Telecommunications, Xi'an , Shaanxi 710121, China

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Abstract Get PDF(in Chinese)

Figures & Tables(6)

Fig. 1. Comparison of average number of iterations of LS-MS-D, LS-MS-R, and LS-MS-A algorithms with different update orders according to row weight of layer

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Fig. 2. Comparison of average iteration times of LS-MS-A and L-MS algorithms with different code lengths

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Fig. 3. Comparison of average iteration times of LS-MS-A and L-MS algorithms with different code rates

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Fig. 4. Graph of error code performance

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Fig. 5. Graph of average number of iterations

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Table 1. [in Chinese]

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Table 1. [in Chinese]

Calculate row-weight of $H_{M \times N}$ ；

$H_{M \times N}^{s o r t}$ = Sort （ $H_{M \times N}$ ） according to the $D_{k}$ of the $H_{M \times N}$ ，so that the $D_{k}$ of $H_{M \times N}^{s o r t}$ are reordered；

For i = 1： $l_{m a x}$

Initialize： $L^{(l, k)} (Q_{j, i})$ ， $L^{(l, k)} (Q_{j})$ ， $L^{l = 0, k = 0} (R_{i, j})$ ；

For layer = 1：m （use $H_{M \times N}^{s o r t}$ ）

Calculate： $L^{(l, k)} (Q_{j, i})$ ， $L^{l, k} (R_{i, j})$ ， $L^{(l, k)} (Q_{j})$ ；

End

Verdict ${\hat{x}}_{j}$ according to $L^{(l, k)} (Q_{j})$ ；

If $\hat{x} \cdot H_{M \times N}^{T} = 0$ or $l = l_{m a x}$ ：

Break；

End

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Yu Liu, Lin Bai, Chan Wang, Yaohui Hao, Jiemin Li. Layered Minimum Sum Decoding Algorithm Improved by Introducing Layer-Weight Ascend Scheduling Strategy[J]. Laser & Optoelectronics Progress, 2022, 59(7): 0706002

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Paper Information

Category: Fiber Optics and Optical Communications

Received: Apr. 29, 2021

Accepted: Jun. 27, 2021

Published Online: Mar. 8, 2022

The Author Email: Bai Lin (foreb@qq.com)

DOI:10.3788/LOP202259.0706002

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology