相关衰落包络的联合平均连续持续时间

中文摘要 AI 辅助

平均连续持续时间（ACD）衡量衰落包络持续保持在有界幅度区间内的平均时间。本文将该概念扩展到两个相关观测，引入了联合平均连续持续时间（JACD）和联合平均衰落持续时间（JAFD）。这两个度量均表示为联合区域占用概率除以相应的向内边界穿越速率。对于相关瑞利衰落，利用双变量瑞利累积分布函数（CDF）、瑞利电平穿越速率和条件莱斯概率，推导出JACD和JAFD的闭式表达式。作为应用，通过基于JACD的多级量化和原始密钥生成速率（KGR）表达式，考虑了互易秘密密钥生成（SKG）。数值结果表明，与边缘ACD均衡相比，JACD均衡量化改善了最差区间联合持续时间、同区间占用率和逐样本原始KGR。

英文摘要

Average contiguous duration (ACD) measures the mean time for which a fading envelope remains continuously inside a bounded amplitude interval. This letter extends the concept to two correlated observations by introducing joint average contiguous duration (JACD) and joint average fade duration (JAFD). Both metrics are expressed as joint-region occupancy probabilities divided by the corresponding inward boundarycrossing rates. For correlated Rayleigh fading, closed-form JACD and JAFD expressions are derived using the bivariate Rayleigh cumulative distribution function (CDF), Rayleigh level-crossing rates, and conditional Rician probabilities. As an application, reciprocal secret-key generation (SKG) is considered through JACD-based multilevel quantization and raw key generation rate (KGR) expressions. Numerical results show that JACD-balanced quantization improves the worst-bin joint duration, same-bin occupancy, and sample-wise raw KGR compared with marginalACD balancing.

发表机构

• University of Rome Tor Vergata（罗马托尔维加塔大学）
• COMSATS University Islamabad（科慕萨茨伊斯兰堡大学）
• University of Luxembourg（卢森堡大学）
• King Saud University（沙特国王大学）

机构由 AI 辅助整理，请以论文原文为准。