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Due to the increasing demand for low power and higher sampling rates, low resolution quantization for data acquisition has drawn great attention recently. Consequently, line spectral estimation (LSE) with multiple measurement vectors (MMVs)…

Signal Processing · Electrical Eng. & Systems 2022-06-08 Ning Zhang , Jiang Zhu , Zhiwei Xu

Line spectral estimation (LSE) from multi snapshot samples is studied utilizing the variational Bayesian methods. Motivated by the recently proposed variational line spectral estimation (VALSE) method for a single snapshot, we develop the…

Signal Processing · Electrical Eng. & Systems 2018-11-30 Qi Zhang , Jiang Zhu , Peter Gerstoft , Mihai-Alin Badiu , Zhiwei Xu

In this paper, we address the fundamental problem of line spectral estimation in a Bayesian framework. We target model order and parameter estimation via variational inference in a probabilistic model in which the frequencies are…

Information Theory · Computer Science 2017-04-05 Mihai-Alin Badiu , Thomas Lundgaard Hansen , Bernard Henri Fleury

The fundamental multidimensional line spectral estimation problem is addressed utilizing the Bayesian methods. Motivated by the recently proposed variational line spectral estimation (VALSE) algorithm, multidimensional VALSE (MDVALSE) is…

Information Theory · Computer Science 2020-07-15 Qi Zhang , Jiang Zhu , Ning Zhang , Zhiwei Xu

Employing low-resolution analog-to-digital converters (ADCs) coupled with large antenna arrays at the receivers has drawn considerable interests in the millimeter wave (mm-wave) system. Since mm-wave channels are sparse in angular…

Signal Processing · Electrical Eng. & Systems 2019-06-04 Jiang Zhu , Chao-kai Wen , Jun Tong , Chongbin Xu , Shi Jin

Compressed Sensing suggests that the required number of samples for reconstructing a signal can be greatly reduced if it is sparse in a known discrete basis, yet many real-world signals are sparse in a continuous dictionary. One example is…

Information Theory · Computer Science 2015-07-24 Yuanxin Li , Yuejie Chi

In this paper, the line spectral estimation (LSE) problem with multiple measurement vectors (MMVs) is studied utilizing the Bayesian methods. Motivated by the recently proposed variational line spectral estimation (VALSE) method, we develop…

Information Theory · Computer Science 2018-11-29 Jiang Zhu , Qi Zhang , Peter Gerstoft , Mihai-Alin Badiu , Zhiwei Xu

In this paper, we propose an iterative receiver based on gridless variational Bayesian line spectra estimation (VALSE) named JCCD-VALSE that \emph{j}ointly estimates the \emph{c}arrier frequency offset (CFO), the \emph{c}hannel with high…

Information Theory · Computer Science 2021-07-16 Lei Wan , Jiang Zhu , En Cheng , Zhiwei Xu

We consider the problem of recovering random graph signals from nonlinear measurements. For this case, closed-form Bayesian estimators are usually intractable and even numerical evaluation of these estimators may be hard to compute for…

Signal Processing · Electrical Eng. & Systems 2022-06-23 Ariel Kroizer , Tirza Routtenberg , Yonina C. Eldar

We study the joint channel estimation and data detection (JED) problem in a cell-free massive multiple-input multiple-output (CF-mMIMO) network, where access points (APs) communicate with a central processing unit (CPU) over fronthaul…

Signal Processing · Electrical Eng. & Systems 2025-06-24 Sajjad Nassirpour , Toan-Van Nguyen , Hien Q. Ngo , Le-Nam Tran , Tharmalingam Ratnarajah , Duy H. N. Nguyen

A new approach for blind channel equalization and decoding, variational inference, and variational autoencoders (VAEs) in particular, is introduced. We first consider the reconstruction of uncoded data symbols transmitted over a noisy…

Machine Learning · Computer Science 2020-04-14 Avi Caciularu , David Burshtein

Graph signals arise from physical networks, such as power and communication systems, or as a result of a convenient representation of data with complex structure, such as social networks. We consider the problem of general graph signal…

Signal Processing · Electrical Eng. & Systems 2021-02-15 Tirza Routtenberg

We propose two novel approaches to the recovery of an (approximately) sparse signal from noisy linear measurements in the case that the signal is a priori known to be non-negative and obey given linear equality constraints, such as simplex…

Information Theory · Computer Science 2015-06-17 Jeremy Vila , Philip Schniter

Extremely large antenna arrays and high-frequency operation are two key technologies that advance performance metrics such as higher data rates, lower latency, and wider coverage in sixth-generation communications. However, the adoption of…

Signal Processing · Electrical Eng. & Systems 2026-02-26 Van-Chung Luu , Toan-Van Nguyen , Nuria González-Prelcic , Duy H. N. Nguyen

This paper is concerned about sparse, continuous frequency estimation in line spectral estimation, and focused on developing gridless sparse methods which overcome grid mismatches and correspond to limiting scenarios of existing grid-based…

Information Theory · Computer Science 2023-07-19 Zai Yang , Lihua Xie

Spectral estimation (SE) aims to identify how the energy of a signal (e.g., a time series) is distributed across different frequencies. This can become particularly challenging when only partial and noisy observations of the signal are…

Machine Learning · Statistics 2019-01-15 Felipe Tobar

Efficient estimation of wideband spectrum is of great importance for applications such as cognitive radio. Recently, sub-Nyquist sampling schemes based on compressed sensing have been proposed to greatly reduce the sampling rate. However,…

Signal Processing · Electrical Eng. & Systems 2018-05-23 Haoyu Fu , Yuejie Chi

A number of recent works have proposed to solve the line spectral estimation problem by applying off-the-grid extensions of sparse estimation techniques. These methods are preferable over classical line spectral estimation algorithms…

Signal Processing · Electrical Eng. & Systems 2018-02-19 Thomas Lundgaard Hansen , Bernard Henri Fleury , Bhaskar D. Rao

This paper presents a novel approach for approximate integration over the uncertainty of noise and signal variances in Gaussian process (GP) regression. Our efficient and straightforward approach can also be applied to integration over…

Machine Learning · Statistics 2017-12-18 Ville Tolvanen , Pasi Jylänki , Aki Vehtari

The fundamental problem of line spectral estimation (LSE) using the expectation propagation (EP) method is studied. Previous approaches estimate the model order sequentially, limiting their practical utility in scenarios with large…

Information Theory · Computer Science 2025-02-24 Jiang Zhu , Xupeng Lei , Mihai Alin-Badiu , Fengzhong Qu
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