拉盖尔域离散时延估计中的噪声抑制
Noise reduction in Laguerre-domain discrete delay estimation
摘要：
本文介绍了一个随机框架，最近提出的离散时间延迟估计方法在Laguerre域，即与延迟块的输入和输出信号被表示为相应的Laguerre级数。一种新的Laguerre域扰动模型的设计，它允许所涉及的信号是平方可和序列，并适用于一些重要的应用。阐明了与两种常用时域扰动模型的关系。此外，通过以某种方式形成输入信号，可以估计加性输出干扰的信号形状并将其用于降噪。它表明，一个显着的改善时，实现的延迟估计误差的噪声序列相关。噪声降低方法适用于其他拉盖尔域问题比纯延迟估计。
英文摘要：
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.
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