[논문]Low-complexity de-mapping algorithms for 64-APSK signals

Bao, Junwei; Xu, Dazhuan; Zhang, Xiaofei; Luo, Hao

doi:10.4218/etrij.2017-0266

[국내논문] Low-complexity de-mapping algorithms for 64-APSK signals 원문보기

ETRI journal, v.41 no.3, 2019년, pp.308 - 315

Bao, Junwei (College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics) , Xu, Dazhuan (College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics) , Zhang, Xiaofei (College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics) , Luo, Hao (College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics)

Abstract ▼ AI-Helper

Due to its high spectrum efficiency, 64-amplitude phase-shift keying (64-APSK) is one of the primary technologies used in deep space communications and digital video broadcasting through satellite-second generation. However, 64-APSK suffers from considerable computational complexity because of the de-mapping method that it employs. In this study, a low-complexity de-mapping method for (4 + 12 + 20 + 28) 64-APSK is proposed in which we take full advantage of the symmetric characteristics of each symbol mapping. Moreover, we map the detected symbol to the first quadrant and then divide the region in this first quadrant into several partitions to simplify the formula. Theoretical analysis shows that the proposed method requires no operation of exponents and logarithms and involves only multiplication, addition, subtraction, and judgment. Simulation results validate that the time consumption is dramatically decreased with limited degradation of bit error rate performance.

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제안 방법

In this study, we propose a simplified de‐mapping method in which the symmetric characteristics of each symbol mapping of a (4 + 12 + 20 + 28)64-APSK constellation are fully utilized, and simplified calculation formulas are derived. The proposed method involves only a few calculations of addition, subtraction, and multiplication with no look‐up table.
In this study, we propose a simplified de‐mapping method in which the symmetric characteristics of each symbol mapping of a (4 + 12 + 20 + 28)64-APSK constellation are fully utilized, and simplified calculation formulas are derived. The proposed method involves only a few calculations of addition, subtraction, and multiplication with no look‐up table. This greatly reduces the computational complexity and time consumption as compared with the traditional log‐MAP and max‐log‐MAP de‐mapping algorithms.
In this section, we propose a de‐mapping method that can simplify the process with a limited performance loss of bit error rate (BER). In the proposed method, we take full advantage of the symmetric characteristics of each symbol mapping and divide the complex plane into several regions to employ the same calculation formula, which can be simplified.
In this study, we proposed a low‐complexity de‐mapping method by taking full advantage of the symmetric characteristics of a 64‐APSK constellation. In this method, only the 0‐ and 1‐points in the first quadrant were investigated based on the symmetric characteristics of the symbol mapping.

이론/모형

This greatly reduces the computational complexity and time consumption as compared with the traditional log‐MAP and max‐log‐MAP de‐mapping algorithms. BER simulations over AWGN and Rayleigh fading channels verify the effectiveness and superiority of the proposed de‐mapping method.

성능/효과

The table shows that time consumption of the simplified method was far less than that of log‐MAP and max‐log‐MAP. When compared to the max‐ log‐MAP, the time consumption of the simplified method was approximately 14.5%, whereas it was only 8.0% when compared with log‐MAP.
In addition, LLR could be achieved immediately with the positions of the received signals. Simulations were conducted to verify that the proposed simplified de‐ mapping method had limited performance degradation when 64‐APSK signals were transmitted over the AWGN and Rayleigh fading channels, whereas the time consumption was considerably reduced to approximately 14.5% or even as low as approximately 8.0% as compared with max‐log‐MAP and log‐MAP, respectively. In other words, the proposed low‐complexity method decreased BER performance slightly with a drastic decrease in time consumption.
The computational complexity of the methods previously mentioned is shown in Table 2. This clearly reveals that, in the process of de‐mapping a received signal of 64‐ APSK with the log‐MAP method, more than 564 times the number of additions and subtractions, 192 times the number of multiplications, and approximately 70 times the number of exponents and logarithms are required. The computational complexity of max‐log‐MAP clearly does not diminish for any of the exponents and logarithms used, whereas 198 times the number of additions and subtractions, 128 times the number of multiplications, and 372 times the number of judgments are still required.

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