论文标题
拉瓜域离散延迟估计的降噪
Noise reduction in Laguerre-domain discrete delay estimation
论文作者
论文摘要
本文引入了一个随机框架，用于在拉瓜域中最近提出的离散时间延迟估计方法，即用相应的laguerre系列表示延迟块输入和输出信号。设计了一种新型的Laguerre域干扰模型，该模型允许涉及的信号是可符合的序列，并且适用于许多重要的应用。阐明了与两个常用时域干扰模型的关系。此外，通过以某种方式形成输入信号，可以估计并利用添加剂输出干扰的信号形状用于降噪。证明当噪声序列相关时，延迟估计误差将显着改善。降噪方法适用于其他拉瓜域问题，而不是纯延迟估计。
This paper introduces a stochastic framework for a recently proposed discrete-time delay estimation method in Laguerre-domain, i.e. with the delay block input and output signals being represented by the corresponding Laguerre series. A novel Laguerre domain disturbance model is devised, which allows the involved signals to be square-summable sequences and is suitable in a number of important applications. The relation to two commonly used time-domain disturbance models is clarified. Furthermore, by forming the input signal in a certain way, the signal shape of an additive output disturbance can be estimated and utilized for noise reduction. It is demonstrated that a significant improvement in the delay estimation error is achieved when the noise sequence is correlated. The noise reduction approach is applicable to other Laguerre-domain problems than pure delay estimation.
