Convergence of the diffusion RLS (DRLS) algorithm to steady-state has been extensively studied in the literature, whereas no analysis of its transient convergence behavior has been reported yet. In this letter, we conduct a theoretical analysis of the transient behavior of the DRLS algorithm for cyclostationary colored inputs, in the mean and mean-square error sense. The resulting analytical models allows us to thoroughly investigate the convergence behavior of the algorithm over adaptive networks in such complex scenarios. Simulation results support the accuracy and correctness of the theoretical findings.

中文翻译：

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循环平稳彩色输入的扩散 RLS 算法的瞬态理论分析


文献中对扩散 RLS (DRLS) 算法向稳态的收敛进行了广泛研究，但尚未报道其瞬态收敛行为的分析。在这封信中，我们从均值和均方误差意义上对循环平稳彩色输入的 DRLS 算法的瞬态行为进行了理论分析。由此产生的分析模型使我们能够在这种复杂的场景中彻底研究算法在自适应网络上的收敛行为。仿真结果支持了理论研究结果的准确性和正确性。