Bayesian estimation of graph signals

A Kroizer, T Routtenberg… - IEEE transactions on signal …, 2022 - ieeexplore.ieee.org
We consider the problem of recovering random graph signals from nonlinear
measurements. For this setting, closed-form Bayesian estimators are usually intractable and …

Widely-linear MMSE estimation of complex-valued graph signals

A Amar, T Routtenberg - IEEE Transactions on Signal …, 2023 - ieeexplore.ieee.org
In this article, we consider the problem of recovering random graph signals with complex
values. For general Bayesian estimation of complex-valued vectors, it is known that the …

Linear shrinkage estimation of covariance matrices using low-complexity cross-validation

J Tong, R Hu, J **, Z **ao, Q Guo, Y Yu - Signal Processing, 2018 - Elsevier
Shrinkage can effectively improve the condition number and accuracy of covariance matrix
estimation, especially for low-sample-support applications with the number of training …

Shrinkage of covariance matrices for linear signal estimation using cross-validation

J Tong, PJ Schreier, Q Guo, S Tong… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
Linear estimation of signals is often based on covariance matrices estimated from training,
which can perform poorly if the training data are limited and the estimated covariance …

Shrinkage estimators of large covariance matrices with Toeplitz targets in array signal processing

B Zhang, S Yuan - Scientific Reports, 2022 - nature.com
The problem of estimating a large covariance matrix arises in various statistical applications.
This paper develops new covariance matrix estimators based on shrinkage regularization …

Tuning the parameters for precision matrix estimation using regression analysis

J Tong, J Yang, J **, Y Yu, PO Ogunbona - Ieee Access, 2019 - ieeexplore.ieee.org
Precision matrix, ie, inverse covariance matrix, is widely used in signal processing, and often
estimated from training samples. Regularization techniques, such as banding and rank …

Choosing the diagonal loading factor for linear signal estimation using cross validation

J Tong, Q Guo, J **, Y Yu… - 2016 IEEE International …, 2016 - ieeexplore.ieee.org
Linear signal estimation based on sample covariance matrices (SCMs) can perform poorly if
the training data are limited and the SCMs are ill-conditioned. Diagonal loading (DL) may be …

A tunable beamformer for robust superdirective beamforming

R Berkun, I Cohen, J Benesty - 2016 IEEE International …, 2016 - ieeexplore.ieee.org
Conventional superdirective beamforming is a well-known multi-microphone enhancement
method with superior directivity factor (DF). However, it suffers from an inferior white noise …

Improved Shrinkage Estimator of Large‐Dimensional Covariance Matrix under the Complex Gaussian Distribution

B Zhang - Mathematical Problems in Engineering, 2020 - Wiley Online Library
Estimating the covariance matrix of a random vector is essential and challenging in large
dimension and small sample size scenarios. The purpose of this paper is to produce an …

Low‐complexity cross‐validation design of a linear estimator

J Tong, J **, Q Guo, Y Yu - Electronics Letters, 2017 - Wiley Online Library
Linear signal estimators have extensive applications. Under the minimum mean squared
error (MMSE) criterion, the linear MMSE (LMMSE) estimator is optimal but requires …