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arXiv · 2207.12973

Noise reduction in Laguerre-domain discrete delay estimation

Mohamed Abdalmoaty·Alexander Medvedev
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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.

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Mohamed Abdalmoaty, Alexander Medvedev. 2022-07-26. Noise reduction in Laguerre-domain discrete delay estimation. https://arxiv.org/abs/2207.12973

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