扩展的阿里莫托-布拉胡特算法用于比斯塔式综合传感和通信系统
Tian Jiao1, Yanlin Geng2, Zhiqiang Wei1
1School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China.
Entropy (Basel, Switzerland)
|January 28, 2026
概括
本研究引入了新的扩展的阿里莫托-布拉胡特算法,用于计算集成传感和通信 (ISAC) 系统的容量扭曲函数. 这些算法有效地解决了非凸的优化挑战,改善了性能评估.
科学领域:
- 无线通信无线通信
- 信号处理 信号处理
- 信息理论 信息理论
背景情况:
- 综合传感和通信 (ISAC) 对于下一代无线网络至关重要.
- 准确的性能评估,特别是容量扭曲功能,对于ISAC系统至关重要.
- 容量扭曲优化问题的非凸性质带来了重大挑战.
研究的目的:
- 开发有效的算法来计算在比斯塔特式ISAC系统中的容量扭曲函数.
- 解决ISAC性能评估中固有的非凸式优化问题.
- 提供通信传感性能权衡的基本指标.
主要方法:
- 建议扩展的阿里莫托-布拉胡特 (AB) 算法来解决非凸的优化问题.
- 引入了辅助变量,以将非凸变的扭曲约束转化为线性约束.
- 证明了原始问题和重新制定的问题之间的最佳解决方案的等价性.
- 开发了扩展的AB算法,用于二次误差扭曲和对数损失扭曲.
主要成果:
- 用线性约束重构的优化问题保留了相同的最佳解决方案.
- 拟议的扩展的AB算法对非静态ISAC系统有效.
- 数值结果验证了开发的算法的性能.
结论:
- 扩展的阿里莫托-布拉胡特算法为ISAC的容量扭曲权衡提供了有效的解决方案.
- 该方法成功地将非凸问题转化为可解决的线性约束.
- 这项工作推动了ISAC系统的性能评估.
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