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Signal modeling lies at the core of numerous signal and image processing applications. A recent approach that has drawn considerable attention is sparse representation modeling, in which the signal is assumed to be generated as a…

Information Theory · Computer Science 2016-11-17 Tomer Peleg , Yonina C. Eldar , Michael Elad

The problem of direction-of-arrival (DOA) estimation in the presence of nonuniform sensor noise is considered and a novel algorithm is developed. The algorithm consists of three phases. First, the diagonal nonuniform sensor noise covariance…

Signal Processing · Electrical Eng. & Systems 2021-10-01 Majdoddin Esfandiari , Sergiy A. Vorobyov

The problem of signal recovery from its Fourier transform magnitude is of paramount importance in various fields of engineering and has been around for over 100 years. Due to the absence of phase information, some form of additional…

Information Theory · Computer Science 2015-07-02 Kishore Jaganathan , Samet Oymak , Babak Hassibi

Dual-function radar communications (DFRC) systems have recently been proposed to enable the coexistence of radar and wireless communications, which in turn alleviates the increased spectrum congestion crisis. In this paper, we consider the…

Signal Processing · Electrical Eng. & Systems 2018-08-16 Xiangrong Wang , Aboulnasr Hassanien , Moeness Amin

Hybrid Analog and Digital (HAD) architectures provide a cost-effective alternative for large-scale antenna arrays, but accurate Direction-of-Arrival (DoA) estimation remains challenging due to limited digital dimensionality and constrained…

Signal Processing · Electrical Eng. & Systems 2025-09-04 Miguel Rivas-Costa , Carlos Mosquera

We consider the recovery of a nonnegative vector x from measurements y = Ax, where A is an m-by-n matrix whos entries are in {0, 1}. We establish that when A corresponds to the adjacency matrix of a bipartite graph with sufficient…

Information Theory · Computer Science 2010-01-26 Venkat Chandar , Devavrat Shah , Gregory W. Wornell

Inspired by compressive sensing principles, we propose novel error control coding techniques for communication systems. The information bits are encoded in the support and the non-zero entries of a sparse signal. By selecting a dictionary…

Information Theory · Computer Science 2021-02-09 Madhusudan Kumar Sinha , Arun Pachai Kannu

In this paper, a novel and robust algorithm is proposed for adaptive beamforming based on the idea of reconstructing the autocorrelation sequence (ACS) of a random process from a set of measured data. This is obtained from the first column…

Information Theory · Computer Science 2021-06-25 Saeed Mohammadzadeh , Vitor H. Nascimento , Rodrigo C. de Lamare , Osman Kukrer

We present a novel algorithm, named the 2D-FFAST, to compute a sparse 2D-Discrete Fourier Transform (2D-DFT) featuring both low sample complexity and low computational complexity. The proposed algorithm is based on mixed concepts from…

Information Theory · Computer Science 2015-09-22 Frank Ong , Sameer Pawar , Kannan Ramchandran

Compressed sensing is a theory which guarantees the exact recovery of sparse signals from a small number of linear projections. The sampling schemes suggested by current compressed sensing theories are often of little practical relevance…

Information Theory · Computer Science 2014-07-22 Jérémie Bigot , Claire Boyer , Pierre Weiss

We have developed an approximate signal recovery algorithm with low computational cost for compressed sensing on the basis of randomly constructed sparse measurement matrices. The law of large numbers and the central limit theorem suggest…

Information Theory · Computer Science 2011-02-21 Yoshiyuki Kabashima , Tadashi Wadayama

This paper investigates the problem of direction-of-arrival (DOA) estimation using multiple partially-calibrated sparse subarrays. In particular, we present the Generalized Coarray Multiple Signal Classification (GCA-MUSIC) DOA estimation…

Machine Learning · Computer Science 2024-08-07 W. S. Leite , R. C. de Lamare

Approximate message passing (AMP) is an effective iterative sparse recovery algorithm for linear system models. Its performance is characterized by the state evolution (SE) which is a simple scalar recursion. However, depending on a…

Signal Processing · Electrical Eng. & Systems 2018-04-02 Kazushi Mimura

In this paper, we propose a two-dimensional (2D) joint transmit array interpolation and beamspace design for planar array mono-static multiple-input-multiple-output (MIMO) radar for direction-of-arrival (DOA) estimation via tensor modeling.…

Information Theory · Computer Science 2018-02-07 Ming-Yang Cao , Sergiy A. Vorobyov , Aboulnasr Hassanien

Recovering a sparse signal from its low-pass projections in the Fourier domain is a problem of broad interest in science and engineering and is commonly referred to as super-resolution. In many cases, however, Fourier domain may not be the…

Information Theory · Computer Science 2019-02-20 Ayush Bhandari , Yonina C. Eldar

Sparse dictionary coding represents signals as linear combinations of a few dictionary atoms. It has been applied to images, time series, graph signals and multi-way spatio-temporal data by jointly employing temporal and spatial…

Machine Learning · Computer Science 2025-09-15 Boya Ma , Abram Magner , Maxwell McNeil , Petko Bogdanov

The direction-of-arrival (DOA) of sound sources is an essential acoustic parameter used, e.g., for multi-channel speech enhancement or source tracking. Complex acoustic scenarios consisting of sources-of-interest, interfering sources,…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-17 Wolfgang Mack , Julian Wechsler , Emanuël A. P. Habets

In the context of the compressed sensing problem, we propose a new ensemble of sparse random matrices which allow one (i) to acquire and compress a {\rho}0-sparse signal of length N in a time linear in N and (ii) to perfectly recover the…

Information Theory · Computer Science 2013-04-15 Maria Chiara Angelini , Federico Ricci-Tersenghi , Yoshiyuki Kabashima

This work deals with the problem of uplink communication and localization in an integrated sensing and communication system, where users are in the near field (NF) of antenna aperture due to the use of high carrier frequency and large…

Information Theory · Computer Science 2024-04-16 Fei Liu , Zhengdao Yuan , Qinghua Guo , Yuanyuan Zhang , Zhongyong Wang , J. Andrew Zhang

We study the high-dimensional inference of a rank-one signal corrupted by sparse noise. The noise is modelled as the adjacency matrix of a weighted undirected graph with finite average connectivity in the large size limit. Using the replica…

Machine Learning · Statistics 2025-11-18 Urte Adomaityte , Gabriele Sicuro , Pierpaolo Vivo