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

斯托尼克 本研究旨在利用数值最佳化方法来开发即时自适应滤波器，以估计、辨识或预测时变及潜在非线性过程。 这项工作的第一阶段将致力于开发，分析和模拟的最佳自适应无限脉冲响应（IIA）滤波算法的电信使用同伦连续方法进行必要的非线性优化。 这项研究将增加我们对时变环境中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.