PYI: Practical Approaches to Optimal Adaptive Filtering of Real Time Non-Linear Systems

Stonick这项研究致力于使用数值优化方法来开发实时自适应滤波器，用于估计、识别或预测时变和潜在的非线性过程。这项工作的第一阶段将致力于开发、分析和仿真用于电信的最优自适应无限脉冲响应(IIA)滤波算法，该算法使用同伦连续方法来执行必要的非线性优化。这项研究将加深我们对时变环境下的IIA滤波器结构的理解，并最终导致其更广泛的使用。

Stonick This research addresses the use of numerical optimization methods to develop real-time adaptive filters for estimating, identifying, or predicting time-varying and potentially nonlinear processes. The first phase of this work will be devoted to the development, analysis, and simulation of an optimal adaptive infinite-impulse response (IIA) filtering algorithm for telecommunications using homotopy continuation methods to perform the necessary nonlinear optimization. This research will increase our understanding of IIA filter structures in time- varying environments, and will ultimately lead to their more widespread use.