Noise reduction in Laguerre-domain discrete delay estimation
Abstract
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.
Cite
@article{arxiv.2207.12973,
title = {Noise reduction in Laguerre-domain discrete delay estimation},
author = {Mohamed Abdalmoaty and Alexander Medvedev},
journal= {arXiv preprint arXiv:2207.12973},
year = {2022}
}