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对于宽带通信系统,大量的频点信息可以作为随机源生成密钥,从而增强通信系统的安全性。然而环境中散射径的数目是有限的,导致不同频点存在着相关性。在限定总发送功率的条件下,针对不同频点的功率分配策略会对密钥的安全性能产生影响。该文以密钥生成速率作为密钥安全性的衡量,建立了功率分配模型以实现密钥生成速率的最大化,并利用Lagrange乘数法进行求解。为降低计算复杂度,提出了一种次优的功率分配方法,并与最优的序列二次规划(sequential quadratic programming,SQP)求解算法进行对比,数值结果表明:次优功率分配策略下得到的密钥安全性能非常接近通过SQP算法得到的最优功率分配策略的密钥安全性能。
For broadband communication systems, a large number of frequency point information can be generated as a random source key, thereby enhancing the security of communication systems. However, the number of scattering paths in the environment is limited, leading to the existence of correlations at different frequencies. Under the condition of limiting the total transmit power, the power allocation strategy for different frequency points will affect the key security performance. In this paper, the rate of key generation is taken as a measure of key security, and a power allocation model is established to maximize the rate of key generation. The Lagrange multiplier method is used to solve the problem. In order to reduce the computational complexity, a sub-optimal power allocation method is proposed and compared with the optimal sequential quadratic programming (SQP) algorithm. Numerical results show that the suboptimal power allocation strategy The key security performance is very close to the key security performance of the optimal power allocation strategy obtained through the SQP algorithm.