基于Delta算子的自适应信号处理

摘要

Delta operator approach is a recent topic of the research fields of signal processing and control theory, which has the important value applied in high speed signal processing and digital control design. Introduction to the delta operator based adaptive signal processing is surveyed in this paper, which includes the delta operator model representation and stability analysis, adaptive filtering and estimation, adaptive algorithm performance and realization, and 2D signal processing. Some openning issues on the delta operator for the further investigation are also given.%Delta算子方法是信号处理与控制理论交叉学科的前沿研究领域之一，在高速信号处理和数字控制设计方面具有广阔的应用前景。简要综述了Delta算子理论在自适应信号处理中的应用现状与存在问题，涉及基于Delta算子的模型描述与稳定性分析、自适应滤波与估计、自适应算法性能分析与实现以及2D信号处理等方面。最后指出了有待进一步研究的课题方向。