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Sparse Bayesian Learning is one of the most popular sparse signal recovery methods, and various algorithms exist under the SBL paradigm. However, given a performance metric and a sparse recovery problem, it is difficult to know a-priori the…

Signal Processing · Electrical Eng. & Systems 2026-04-06 Rushabha Balaji , Kuan-Lin Chen , Danijela Cabric , Bhaskar D. Rao

Cluster-sparse channels often exist in frequencyselective fading broadband communication systems. The main reason is received scattered waveform exhibits cluster structure which is caused by a few reflectors near the receiver. Conventional…

Information Theory · Computer Science 2014-07-24 Guan Gui , Li Xu , Lin Shan

Block sparsity is a widely exploited structure in sparse recovery, offering significant gains when signal blocks are known. Yet, practical signals often exhibit unknown block boundaries and isolated non-zero entries, which challenge…

Signal Processing · Electrical Eng. & Systems 2026-02-05 Yanbin He , Geethu Joseph

In this work, the uplink channel estimation problem is considered for a millimeter wave (mmWave) multi-input multi-output (MIMO) system. It is well known that pilot overhead and computation complexity in estimating the channel increases…

Information Theory · Computer Science 2023-02-07 Rakesh Mundlamuri , Rajeev Gangula , Christo Kurisummoottil Thomas , Florian Kaltenberger , Walid Saad

This paper addresses the problem of joint downlink channel estimation and user grouping in massive multiple-input multiple-output (MIMO) systems, where the motivation comes from the fact that the channel estimation performance can be…

Signal Processing · Electrical Eng. & Systems 2019-01-30 Jisheng Dai , An Liu , Vincent K. N. Lau

Robust cognitive radio development requires accurate 3D path loss models. Traditional empirical models often lack environment-awareness, while deep learning approaches are frequently constrained by the scarcity of large-scale training…

Signal Processing · Electrical Eng. & Systems 2026-04-07 Mushfiqur Rahman , Ismail Guvenc , David Matolak

This study addresses the problem of discrete signal reconstruction from the perspective of sparse Bayesian learning (SBL). Generally, it is intractable to perform the Bayesian inference with the ideal discretization prior under the SBL…

Signal Processing · Electrical Eng. & Systems 2023-04-19 Jisheng Dai , An Liu , Hing Cheung So

The recovery of block-sparse signals with unknown structural patterns remains a fundamental challenge in structured sparse signal reconstruction. By proposing a variance transformation framework, this paper unifies existing pattern-based…

Optimization and Control · Mathematics 2026-04-13 Yanhao Zhang , Zhihan Zhu , Yong Xia

This paper introduces a novel prior called Diversified Block Sparse Prior to characterize the widespread block sparsity phenomenon in real-world data. By allowing diversification on intra-block variance and inter-block correlation matrices,…

Machine Learning · Computer Science 2024-10-31 Yanhao Zhang , Zhihan Zhu , Yong Xia

Channel estimation is a fundamental task in communication systems and is critical for effective demodulation. While most works deal with a simple scenario where the measurements are corrupted by the additive white Gaussian noise (AWGN),…

Signal Processing · Electrical Eng. & Systems 2024-12-10 Yifan Wang , Chengjie Yu , Jiang Zhu , Fangyong Wang , Xingbin Tu , Yan Wei , Fengzhong Qu

Sparse Bayesian Learning (SBL) constructs an extremely sparse probabilistic model with very competitive generalization. However, SBL needs to invert a big covariance matrix with complexity $O(M^3)$ (M: feature size) for updating the…

Machine Learning · Computer Science 2023-09-12 Jiahua Luo , Chi-Man Wong , Chi-Man Vong

In this paper, we develop a Bayesian evidence maximization framework to solve the sparse non-negative least squares (S-NNLS) problem. We introduce a family of probability densities referred to as the Rectified Gaussian Scale Mixture (R-…

Machine Learning · Computer Science 2018-03-29 Alican Nalci , Igor Fedorov , Maher Al-Shoukairi , Thomas T. Liu , Bhaskar D. Rao

A novel Gaussian mixture model (GMM) aided sparse Bayesian learning (SBL) framework is proposed for channel state information (CSI) estimation in orthogonal time-frequency space (OTFS) modulated systems. The key attribute of the proposed…

Signal Processing · Electrical Eng. & Systems 2026-03-31 Surbhi Gehlot , Suraj Srivastava , Sandeep Kumar Yadav , Lajos Hanzo

Block-sparse signal recovery without knowledge of block sizes and boundaries, such as those encountered in multi-antenna mmWave channel models, is a hard problem for compressed sensing (CS) algorithms. We propose a novel Sparse Bayesian…

Signal Processing · Electrical Eng. & Systems 2021-02-17 Aditya Sant , Markus Leinonen , Bhaskar D. Rao

The spectrum environment map (SEM), which can visualize the information of invisible electromagnetic spectrum, is vital for monitoring, management, and security of spectrum resources in cognitive radio (CR) networks. In view of a limited…

Signal Processing · Electrical Eng. & Systems 2023-02-28 Jie Wang , Qiuming Zhu , Zhipeng Lin , Qihui Wu , Yang Huang , Xuezhao Cai , Weizhi Zhong , Yi Zhao

Sparse Bayesian learning (SBL) is a popular approach to sparse signal recovery in compressed sensing (CS). In SBL, the signal sparsity information is exploited by assuming a sparsity-inducing prior for the signal that is then estimated…

Information Theory · Computer Science 2012-09-03 Zai Yang , Lihua Xie , Cishen Zhang

This paper concerns message passing based approaches to sparse Bayesian learning (SBL) with a linear model corrupted by additive white Gaussian noise with unknown variance. With the conventional factor graph, mean field (MF) message passing…

Information Theory · Computer Science 2016-09-07 Chuanzong Zhang , Zhengdao Yuan , Zhongyong Wang , Qinghua Guo

Sparse Bayesian learning (SBL) associates to each weight in the underlying linear model a hyperparameter by assuming that each weight is Gaussian distributed with zero mean and precision (inverse variance) equal to its associated…

Machine Learning · Statistics 2025-12-02 Jakob Möderl , Erik Leitinger , Bernard Henri Fleury

The performance of sparse signal recovery from noise corrupted, underdetermined measurements can be improved if both sparsity and correlation structure of signals are exploited. One typical correlation structure is the intra-block…

Information Theory · Computer Science 2013-10-01 Benyuan Liu , Zhilin Zhang , Hongqi Fan , Qiang Fu

This letter investigates channel estimation for ultra-massive multiple-input multiple-output (MIMO) communications. We propose a joint low-rank and sparse Bayesian estimation (LRSBE) algorithm for spatial non-stationary ultra-massive…

Information Theory · Computer Science 2025-12-05 Jianghan Ji , Cheng-Xiang Wang , Shuaifei Chen , Chen Huang , Xiping Wu , Emil Björnson