A Numerical Integration Method for Calculating the Bit Error Rate of Time-Modulated Array
In this paper, we present a novel approach for computing the bit error rate of time-modulated array using the Laplace inversion integral. We express the bit error rate as a Laplace inversion integral and select the integration path using the saddle point method. The integration result is obtained th...
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| Format: | Article |
| Language: | English |
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IEEE
2025-01-01
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| Series: | IEEE Open Journal of Antennas and Propagation |
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| Online Access: | https://ieeexplore.ieee.org/document/10777086/ |
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| author | Kexin Wang Jian Zhang Gang Xin Xue Lei Jun Gao Tianpeng Li |
| author_facet | Kexin Wang Jian Zhang Gang Xin Xue Lei Jun Gao Tianpeng Li |
| author_sort | Kexin Wang |
| collection | DOAJ |
| description | In this paper, we present a novel approach for computing the bit error rate of time-modulated array using the Laplace inversion integral. We express the bit error rate as a Laplace inversion integral and select the integration path using the saddle point method. The integration result is obtained through numerical integration, and we derive the upper bound of the truncation error. The time-modulated array under consideration includes a single pole double throw switch array, which can independently exist in two states. This calculation method can be readily extended to time-modulated arrays with multiple states. To assess the accuracy of this method, we provide an example for verification and comparison with the results of exact calculations. The findings demonstrate consistency between the two methods while significantly reducing computational complexity. |
| format | Article |
| id | doaj-art-d12fd011e0cc4c6a8103667ab1e731e7 |
| institution | Kabale University |
| issn | 2637-6431 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Open Journal of Antennas and Propagation |
| spelling | doaj-art-d12fd011e0cc4c6a8103667ab1e731e72025-01-30T00:03:12ZengIEEEIEEE Open Journal of Antennas and Propagation2637-64312025-01-016132633110.1109/OJAP.2024.351075910777086A Numerical Integration Method for Calculating the Bit Error Rate of Time-Modulated ArrayKexin Wang0https://orcid.org/0000-0003-1775-7440Jian Zhang1https://orcid.org/0000-0003-3831-485XGang Xin2Xue Lei3Jun Gao4https://orcid.org/0000-0001-9756-2760Tianpeng Li5Information Engineering University, Zhengzhou, ChinaNational Digital Switching System Engineering and Technological R&D Center, Zhengzhou, ChinaNational Digital Switching System Engineering and Technological R&D Center, Zhengzhou, ChinaNational Digital Switching System Engineering and Technological R&D Center, Zhengzhou, ChinaNational Digital Switching System Engineering and Technological R&D Center, Zhengzhou, ChinaNational Digital Switching System Engineering and Technological R&D Center, Zhengzhou, ChinaIn this paper, we present a novel approach for computing the bit error rate of time-modulated array using the Laplace inversion integral. We express the bit error rate as a Laplace inversion integral and select the integration path using the saddle point method. The integration result is obtained through numerical integration, and we derive the upper bound of the truncation error. The time-modulated array under consideration includes a single pole double throw switch array, which can independently exist in two states. This calculation method can be readily extended to time-modulated arrays with multiple states. To assess the accuracy of this method, we provide an example for verification and comparison with the results of exact calculations. The findings demonstrate consistency between the two methods while significantly reducing computational complexity.https://ieeexplore.ieee.org/document/10777086/Bit error rateLaplace inversion integralnumerical integrationsecure communicationtime-modulated array |
| spellingShingle | Kexin Wang Jian Zhang Gang Xin Xue Lei Jun Gao Tianpeng Li A Numerical Integration Method for Calculating the Bit Error Rate of Time-Modulated Array IEEE Open Journal of Antennas and Propagation Bit error rate Laplace inversion integral numerical integration secure communication time-modulated array |
| title | A Numerical Integration Method for Calculating the Bit Error Rate of Time-Modulated Array |
| title_full | A Numerical Integration Method for Calculating the Bit Error Rate of Time-Modulated Array |
| title_fullStr | A Numerical Integration Method for Calculating the Bit Error Rate of Time-Modulated Array |
| title_full_unstemmed | A Numerical Integration Method for Calculating the Bit Error Rate of Time-Modulated Array |
| title_short | A Numerical Integration Method for Calculating the Bit Error Rate of Time-Modulated Array |
| title_sort | numerical integration method for calculating the bit error rate of time modulated array |
| topic | Bit error rate Laplace inversion integral numerical integration secure communication time-modulated array |
| url | https://ieeexplore.ieee.org/document/10777086/ |
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