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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…

信号处理 · 电气工程与系统科学 2026-02-05 Yanbin He , Geethu Joseph

This paper introduces a new sparse Bayesian learning (SBL) algorithm that jointly recovers a temporal sequence of edge maps from noisy and under-sampled Fourier data. The new method is cast in a Bayesian framework and uses a prior that…

应用统计 · 统计学 2023-03-01 Yao Xiao , Anne Gelb , Guohui Song

Extremely large-scale multiple-input multiple-output (XL-MIMO) is a key enabler for sixth-generation (6G) communications. However, near-field channel estimation is particularly challenging due to spherical-wave propagation and spatial…

信号处理 · 电气工程与系统科学 2026-04-14 Qingxia Feng , Pan Fang , Meng Hua , Chunguo Li , Yongming Huang , Luxi Yang

This paper begins with considering the identification of sparse linear time-invariant networks described by multivariable ARX models. Such models possess relatively simple structure thus used as a benchmark to promote further research. With…

系统与控制 · 计算机科学 2016-10-03 J. Jin , Y. Yuan , W. Pan , D. L. T. Pham , C. J. Tomlin , A. Webb , J. Goncalves

The recovery of a low rank matrix from a subset of noisy low-precision quantized samples arises in several applications such as collaborative filtering, intelligent recommendation and millimeter wave channel estimation with few bit ADCs. In…

信息论 · 计算机科学 2019-11-25 Jiang Zhu , Zhennan Liu , Qi Zhang , Chunyi Song , Zhiwei Xu

Sparse Bayesian Learning (SBL) is a powerful framework for attaining sparsity in probabilistic models. Herein, we propose a coordinate ascent algorithm for SBL termed Relevance Matching Pursuit (RMP) and show that, as its noise variance…

机器学习 · 计算机科学 2021-06-14 Sebastian Ament , Carla Gomes

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…

信号处理 · 电气工程与系统科学 2019-01-30 Jisheng Dai , An Liu , Vincent K. N. Lau

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…

信息论 · 计算机科学 2014-07-24 Guan Gui , Li Xu , Lin Shan

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…

最优化与控制 · 数学 2026-04-13 Yanhao Zhang , Zhihan Zhu , Yong Xia

In sparse Bayesian learning (SBL), Gaussian scale mixtures (GSMs) have been used to model sparsity-inducing priors that realize a class of concave penalty functions for the regression task in real-valued signal models. Motivated by the…

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…

信号处理 · 电气工程与系统科学 2026-04-06 Rushabha Balaji , Kuan-Lin Chen , Danijela Cabric , Bhaskar D. Rao

In this paper, a sparse signal recovery algorithm using Bayesian linear regression with Cauchy prior (BLRC) is proposed. Utilizing an approximate expectation maximization(AEM) scheme, a systematic hyper-parameter updating strategy is…

信号处理 · 电气工程与系统科学 2023-07-24 Jun Li , Ryan Wu , I-Tai Lu , Dongyin Ren

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),…

信号处理 · 电气工程与系统科学 2024-12-10 Yifan Wang , Chengjie Yu , Jiang Zhu , Fangyong Wang , Xingbin Tu , Yan Wei , Fengzhong Qu

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…

信息论 · 计算机科学 2013-10-01 Benyuan Liu , Zhilin Zhang , Hongqi Fan , Qiang Fu

In this paper, we investigate the channel estimation problem for extremely large-scale multiple-input multiple-output (XL-MIMO) systems with a hybrid analog-digital architecture, implemented within a decentralized baseband processing (DBP)…

This paper presents a sparse Bayesian learning (SBL) algorithm for linear inverse problems with a high order total variation (HOTV) sparsity prior. For the problem of sparse signal recovery, SBL often produces more accurate estimates than…

信号处理 · 电气工程与系统科学 2020-07-20 Victor Churchill , Anne Gelb

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…

机器学习 · 计算机科学 2023-09-12 Jiahua Luo , Chi-Man Wong , Chi-Man Vong

Received signal strength (RSS) based source localization method is popular due to its simplicity and low cost. However, this method is highly dependent on the propagation model which is not easy to be captured in practice. Moreover, most…

信号处理 · 电气工程与系统科学 2020-08-26 Kangyong You , Wenbin Guo , Tao Peng , Yueliang Liu , Peiliang Zuo , Wenbo Wang

Neural networks (NNs) are primarily developed within the frequentist statistical framework. Nevertheless, frequentist NNs lack the capability to provide uncertainties in the predictions, and hence their robustness can not be adequately…

计算工程、金融与科学 · 计算机科学 2023-10-26 Nastaran Dabiran , Brandon Robinson , Rimple Sandhu , Mohammad Khalil , Dominique Poirel , Abhijit Sarkar

This paper investigates the problem of estimating sparse channels in massive MIMO systems. Most wireless channels are sparse with large delay spread, while some channels can be observed having sparse common support (SCS) within a certain…

信息论 · 计算机科学 2017-04-24 Zhengdao Yuan , Chuanzong Zhang , Zhongyong Wang , Qinghua Guo