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We introduce the spiked mixture model (SMM) to address the problem of estimating a set of signals from many randomly scaled and noisy observations. Subsequently, we design a novel expectation-maximization (EM) algorithm to recover all…

Machine Learning · Statistics 2026-01-26 Paul-Louis Delacour , Sander Wahls , Jeffrey M. Spraggins , Lukasz Migas , Raf Van de Plas

In this paper, the problem of Magnetic Resonance (MR) image reconstruction from partial Fourier samples has been considered. To this aim, we leverage the evidence that MR images are sparser than their zero-filled reconstructed ones from…

Information Theory · Computer Science 2015-08-19 Fateme Ghayem , Farokh Marvasti

Continuous-time signals are well known for not being perfectly localized in both time and frequency domains. Conversely, a signal defined over the vertices of a graph can be perfectly localized in both vertex and frequency domains. We…

Information Theory · Computer Science 2015-12-03 Mikhail Tsitsvero , Sergio Barbarossa

Multichannel frequency estimation with incomplete data and miscellaneous noises arises in array signal processing, modal analysis, wireless communications, and so on. In this paper, we consider maximum-likelihood(-like) optimization methods…

Signal Processing · Electrical Eng. & Systems 2023-07-18 Xunmeng Wu , Zai Yang , Zongben Xu

Common problem in signal processing is reconstruction of the missing signal samples. Missing samples can occur by intentionally omitting signal coefficients to reduce memory requirements, or to speed up the transmission process. Also, noisy…

Information Theory · Computer Science 2015-03-02 Slavoljub Jokić , Ljindita Niković , Jelena Kadović

Multi-view image acquisition systems with two or more cameras can be rather costly due to the number of high resolution image sensors that are required. Recently, it has been shown that by covering a low resolution sensor with a non-regular…

Image and Video Processing · Electrical Eng. & Systems 2022-04-11 Markus Jonscher , Jürgen Seiler , Thomas Richter , Michel Bätz , André Kaup

An inverse nonequispaced fast Fourier transform (iNFFT) is a fast algorithm to compute the Fourier coefficients of a trigonometric polynomial from nonequispaced sampling data. However, various applications such as magnetic resonance imaging…

Numerical Analysis · Mathematics 2025-06-09 Melanie Kircheis , Daniel Potts

A spectrally sparse signal of order $r$ is a mixture of $r$ damped or undamped complex sinusoids. This paper investigates the problem of reconstructing spectrally sparse signals from a random subset of $n$ regular time domain samples, which…

Information Theory · Computer Science 2016-06-07 Jian-Feng Cai , Tianming Wang , Ke Wei

In frequency-division duplexing (FDD) multiple-input multiple-output (MIMO) systems, obtaining accurate downlink channel state information (CSI) for precoding is vastly challenging due to the tremendous feedback overhead with the growing…

Signal Processing · Electrical Eng. & Systems 2024-05-15 Jungyeon Kim , Jinseok Choi , Jeonghun Park , Ahmed Alkhateeb , Namyoon Lee

Application of filter bank multicarrier (FBMC) as an effective method for signaling over massive MIMO channels has been recently proposed. This paper further expands the application of FBMC to massive MIMO by applying frequency spreading…

Information Theory · Computer Science 2016-11-18 Amir Aminjavaheri , Arman Farhang , Nicola Marchetti , Linda E. Doyle , Behrouz Farhang-Boroujeny

We consider multi-variate signals spanned by the integer shifts of a set of generating functions with distinct frequency profiles and the problem of reconstructing them from samples taken on a random periodic set. We show that such a…

Functional Analysis · Mathematics 2023-10-13 Jorge Antezana , Diana Carbajal , José Luis Romero

MR-STAT is a recently proposed framework that allows the reconstruction of multiple quantitative parameter maps from a single short scan by performing spatial localisation and parameter estimation on the time domain data simultaneously,…

There has been a growing interest in wideband spectrum sensing due to its applications in cognitive radios and electronic surveillance. To overcome the sampling rate bottleneck for wideband spectrum sensing, in this paper, we study the…

Information Theory · Computer Science 2019-10-17 Linxiao Yang , Jun Fang , Huiping Duan , Hongbin Li

In this paper, we derive a new reconstruction method for real non-harmonic Fourier sums, i.e., real signals which can be represented as sparse exponential sums of the form $f(t) = \sum_{j=1}^{K} \gamma_{j} \, \cos(2\pi a_{j} t + b_{j})$,…

Numerical Analysis · Mathematics 2020-11-30 Markus Petz , Gerlind Plonka , Nadiia Derevianko

Fusion frames are collection of subspaces which provide a redundant representation of signal spaces. They generalize classical frames by replacing frame vectors with frame subspaces. This paper considers the sparse recovery of a signal from…

Information Theory · Computer Science 2018-04-09 Ulaş Ayaz

This paper presents a regularized sampling method for multiband signals, that makes it possible to approach the Landau limit, while keeping the sensitivity to noise at a low level. The method is based on band-limited windowing, followed by…

Information Theory · Computer Science 2015-05-18 J. Selva

We consider a multiple-input multiple-output (MIMO) relaying boardcast channel in downlink cellular networks, where the base station and the relay stations are both equipped with multiple antennas, and each user terminal has only a single…

Signal Processing · Electrical Eng. & Systems 2020-03-24 Zijian Wang , Wen Chen , Jun Li

Cell-free (CF) massive multiple-input multipleoutput (MIMO) provides a ubiquitous coverage to user equipments (UEs) but it is also susceptible to interference. Ratesplitting (RS) effectively extracts data by decoding interference, yet its…

Information Theory · Computer Science 2024-09-25 Jiakang Zheng , Jiayi Zhang , Hongyang Du , Ruichen Zhang , Dusit Niyato , Octavia A. Dobre , Bo Ai

In this letter, a permutation enhanced parallel reconstruction architecture for compressive sampling is proposed. In this architecture, a measurement matrix is constructed from a block-diagonal sensing matrix and the sparsifying basis of…

Information Theory · Computer Science 2014-09-01 Hao Fang , Sergiy A. Vorobyov , Hai Jiang

Hybrid beamforming for frequency-selective channels is a challenging problem as the phase shifters provide the same phase shift to all of the subcarriers. The existing approaches solely rely on the channel's frequency response and the…

Information Theory · Computer Science 2019-03-13 Sohail Payami , Mathini Sellathurai , Konstantinos Nikitopoulos