Bit error rate analysis model of M-APSK based on total probability formula
To efficiently evaluate the performance of M-APSK modulation scheme over an additive white Gaussian noise channel, a theoretical bit error rate analysis model was proposed based on total probability formula. Firstly, the constellation plane was divided into regions according to the distribution of c...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2024-07-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024126/ |
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| _version_ | 1841539165595893760 |
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| author | HUAN Hao REN Kexue |
| author_facet | HUAN Hao REN Kexue |
| author_sort | HUAN Hao |
| collection | DOAJ |
| description | To efficiently evaluate the performance of M-APSK modulation scheme over an additive white Gaussian noise channel, a theoretical bit error rate analysis model was proposed based on total probability formula. Firstly, the constellation plane was divided into regions according to the distribution of constellation points and their encoding characteristics. Then, the probability expression of the decision error of each bit was derived from the probability of the received symbol falling in the corresponding region. Finally, the exact closed-form solution of theoretical bit error rate was obtained. Taking 16APSK and 32APSK as examples, the theoretical bit error rate formula of all kinds of constellations was derived, which was in excellent agreement with Monte Carlo simulation. This model is universal, PSK, QAM, PAM, APSK and other modulation methods can use this model to obtain the exact closed-form solution of theoretical bit error rate. Compared with the complex two-dimensional probability integral method which relies on a large number of numerical calculations, the proposed model can give the bit error rate performance of M-APSK more conveniently. |
| format | Article |
| id | doaj-art-02aa74bb1aee49aba412fa966fa4270a |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2024-07-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-02aa74bb1aee49aba412fa966fa4270a2025-01-14T07:24:40ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2024-07-014512713767384713Bit error rate analysis model of M-APSK based on total probability formulaHUAN HaoREN KexueTo efficiently evaluate the performance of M-APSK modulation scheme over an additive white Gaussian noise channel, a theoretical bit error rate analysis model was proposed based on total probability formula. Firstly, the constellation plane was divided into regions according to the distribution of constellation points and their encoding characteristics. Then, the probability expression of the decision error of each bit was derived from the probability of the received symbol falling in the corresponding region. Finally, the exact closed-form solution of theoretical bit error rate was obtained. Taking 16APSK and 32APSK as examples, the theoretical bit error rate formula of all kinds of constellations was derived, which was in excellent agreement with Monte Carlo simulation. This model is universal, PSK, QAM, PAM, APSK and other modulation methods can use this model to obtain the exact closed-form solution of theoretical bit error rate. Compared with the complex two-dimensional probability integral method which relies on a large number of numerical calculations, the proposed model can give the bit error rate performance of M-APSK more conveniently.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024126/M-APSKtheoretical bit error ratecalculation formulaclosed-form solution |
| spellingShingle | HUAN Hao REN Kexue Bit error rate analysis model of M-APSK based on total probability formula Tongxin xuebao M-APSK theoretical bit error rate calculation formula closed-form solution |
| title | Bit error rate analysis model of M-APSK based on total probability formula |
| title_full | Bit error rate analysis model of M-APSK based on total probability formula |
| title_fullStr | Bit error rate analysis model of M-APSK based on total probability formula |
| title_full_unstemmed | Bit error rate analysis model of M-APSK based on total probability formula |
| title_short | Bit error rate analysis model of M-APSK based on total probability formula |
| title_sort | bit error rate analysis model of m apsk based on total probability formula |
| topic | M-APSK theoretical bit error rate calculation formula closed-form solution |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024126/ |
| work_keys_str_mv | AT huanhao biterrorrateanalysismodelofmapskbasedontotalprobabilityformula AT renkexue biterrorrateanalysismodelofmapskbasedontotalprobabilityformula |