Noise covariance matrices in state‐space models: A survey and comparison of estimation methods—Part I

J Duník, O Straka, O Kost… - International Journal of …, 2017 - Wiley Online Library
This paper deals with the estimation of the noise covariance matrices of systems described
by state‐space models. Stress is laid on the systematic survey and classification of both the …

Consistent estimation of autoregressive parameters from noisy observations based on two interacting Kalman filters

D Labarre, E Grivel, Y Berthoumieu, E Todini, M Najim - Signal Processing, 2006 - Elsevier
The estimation of the parameters of an autoregressive process (AR) from noisy observations
is still a challenging problem. In this paper, we propose to sequentially estimate both the …

Speech enhancement combining optimal smoothing and errors-in-variables identification of noisy AR processes

W Bobillet, R Diversi, E Grivel… - IEEE Transactions …, 2007 - ieeexplore.ieee.org
In the framework of speech enhancement, several parametric approaches based on an a
priori model for a speech signal have been proposed. When using an autoregressive (AR) …

Dual Algorithms for Signal Processing— Application to Speech Enhancement

D Labarre, E Grivel, M Najim… - IEEE Transactions on …, 2007 - ieeexplore.ieee.org
This paper deals with the joint signal and parameter estimation for linear state-space
models. An efficient solution to this problem can be obtained by using a recursive …

Robust adaptive Kalman filtering-based speech enhancement algorithm

M Gabrea - 2004 IEEE International Conference on Acoustics …, 2004 - ieeexplore.ieee.org
The paper deals with the problem of speech enhancement when only a corrupted speech
signal is available for processing. Kalman filtering is known as an effective speech …

[PDF][PDF] Recursive Identification of Noisy Autoregressive Models Via a Noise–Compensated Overdetermined Instrumental Variable Method

M Barbieri, R Diversi - International Journal of Applied …, 2024 - intapi.sciendo.com
The aim of this paper is to develop a new recursive identification algorithm for
autoregressive (AR) models corrupted by additive white noise. The proposed approach …

Generalized subspace snoring signal enhancement based on noise covariance matrix estimation

L Ding, J Peng, Y Jiang, L Song - Circuits, Systems, and Signal …, 2021 - Springer
Acoustical properties of snoring signal have been widely studied as a potentially cost-
effective and reliable alternative to diagnosing obstructive sleep apnea hypopnea …

Fast filtering of noisy autoregressive signals

R Diversi, R Guidorzi - Signal Processing, 2007 - Elsevier
Autoregressive (AR) models are used in a wide variety of applications concerning the
recovery of signals from noise-corrupted observations. In all real contexts of this kind also an …

Cancelling convolutive and additive coloured noises for speech enhancement

W Bobillet, E Grivel, R Guidorzi… - 2004 IEEE International …, 2004 - ieeexplore.ieee.org
In the framework of speech enhancement, many approaches have been developed when
the speech signal is only corrupted by additive noise. However, in an auditorium, when …

Identifying an autoregressive process disturbed by a moving-average noise using inner–outer factorization

A Abdou, F Turcu, E Grivel, R Diversi… - Signal, Image and Video …, 2015 - Springer
This paper deals with the identification of an autoregressive (AR) process disturbed by an
additive moving-average (MA) noise. Our approach operates as follows: Firstly, the AR …