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This paper studies sequential methods for recovery of sparse signals in high dimensions. When compared to fixed sample size procedures, in the sparse setting, sequential methods can result in a large reduction in the number of samples…

Information Theory · Computer Science 2014-10-07 Matthew L. Malloy , Robert Nowak

Dynamic mode decomposition (DMD) represents an effective means for capturing the essential features of numerically or experimentally generated flow fields. In order to achieve a desirable tradeoff between the quality of approximation and…

Fluid Dynamics · Physics 2014-12-11 Mihailo R. Jovanović , Peter J. Schmid , Joseph W. Nichols

In this paper, we address the problem of distributed sparse recovery of signals acquired via compressed measurements in a sensor network. We propose a new class of distributed algorithms to solve Lasso regression problems, when the…

Information Theory · Computer Science 2013-10-15 Chiara Ravazzi , Sophie M. Fosson , Enrico Magli

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

Accurate channel estimation in massive multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems is challenging when the number of pilot symbols is much smaller than the number of transmit antennas.…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Xiucheng Wang , Nan Cheng , Yiyan Zhang , Ruijin Sun , Haixia Peng

As a forerunner in 5G technologies, Narrowband Internet of Things (NB-IoT) will be inevitably coexisting with the legacy Long-Term Evolution (LTE) system. Thus, it is imperative for NB-IoT to mitigate LTE interference. By virtue of the…

Information Theory · Computer Science 2021-10-07 Yijia Guo , Wenkun Wen , Peiran Wu , Minghua Xia

Integrated localization and communication systems aim to reuse communication waveforms for simultaneous data transmission and localization, but delay resolution is fundamentally limited by the available bandwidth. In practice, large…

Signal Processing · Electrical Eng. & Systems 2026-01-27 Jialun Kou , Achiel Colpaert , Zhuangzhuang Cui , Sofie Pollin

Intensively growing approach in signal processing and acquisition, the Compressive Sensing approach, allows sparse signals to be recovered from small number of randomly acquired signal coefficients. This paper analyses some of the commonly…

Signal Processing · Electrical Eng. & Systems 2018-02-21 Tamara Koljensic , Caslav Labudovic

Orthogonal Time Frequency Space (OTFS) is a $\text{2-D}$ modulation technique that has the potential to overcome the challenges faced by orthogonal frequency division multiplexing (OFDM) in high Doppler environments. The performance of OTFS…

Information Theory · Computer Science 2020-05-11 Kuntal Deka , Anna Thomas , Sanjeev Sharma

We consider the problem of recovering off-the-grid spikes from linear measurements. The state of the art Over-Parametrized Continuous Orthogonal Matching Pursuit (OP-COMP) with Projected Gradient Descent (PGD) successfully recovers those…

Numerical Analysis · Mathematics 2024-02-20 Pierre-Jean Bénard , Yann Traonmilin , Jean François Aujol

This paper investigates the problem of recovering missing samples using methods based on sparse representation adapted especially for image signals. Instead of $l_2$-norm or Mean Square Error (MSE), a new perceptual quality measure is used…

Machine Learning · Computer Science 2017-10-18 Amirhossein Javaheri , Hadi Zayyani , Farokh Marvasti

This paper addresses channel estimation and data equalization on frequency-selective 1-bit quantized Multiple Input-Multiple Output (MIMO) systems. No joint processing or Channel State Information is assumed at the transmitter, and…

Information Theory · Computer Science 2021-03-09 Javier García , Jawad Munir , Kilian Roth , Josef A. Nossek

In wireless communication Multiple Input Multiple Output (MIMO) technology has brought significant improvement in service by adopting Orthogonal Frequency Division Multiplexing (OFDM), a digital modulation technique. To achieve great…

Networking and Internet Architecture · Computer Science 2024-05-14 Shahriar Hassan , Umme Farhana , Md Karam Newaz

Compressive Sensing has well boosted massive random access protocols over the last decade. In this paper we apply an orthogonal FFT basis as it is used in OFDM, but subdivide its image into so-called sub-channels and let each sub-channel…

Information Theory · Computer Science 2023-07-19 Gerhard Wunder , Axel Flinth , Benedikt Groß

In this letter, we study efficient channel estimation for an intelligent reflecting surface (IRS)-assisted orthogonal frequency division multiplexing (OFDM) system to achieve minimum training time. First, a fast channel estimation scheme…

Information Theory · Computer Science 2020-08-12 Beixiong Zheng , Changsheng You , Rui Zhang

The optimization problems with a sparsity constraint is a class of important global optimization problems. A typical type of thresholding algorithms for solving such a problem adopts the traditional full steepest descent direction or…

Optimization and Control · Mathematics 2021-07-20 Nan Meng , Yun-Bin Zhao , Michal Kocvara

Dynamic spectrum management (DSM) has been recognized as a key technology to significantly improve the performance of digital subscriber line (DSL) broadband access networks. The basic concept of DSM is to coordinate transmission over…

Optimization and Control · Mathematics 2016-11-15 Paschalis Tsiaflakis , Ion Necoara , Johan A. K. Suykens , Marc Moonen

The aim of sparse phase retrieval is to recover a $k$-sparse signal $\mathbf{x}_0\in \mathbb{C}^{d}$ from quadratic measurements $|\langle \mathbf{a}_i,\mathbf{x}_0\rangle|^2$ where $\mathbf{a}_i\in \mathbb{C}^d, i=1,\ldots,m$. Noting…

Functional Analysis · Mathematics 2021-05-05 Yu Xia , Zhiqiang Xu

This paper develops a novel algorithm, termed \emph{SPARse Truncated Amplitude flow} (SPARTA), to reconstruct a sparse signal from a small number of magnitude-only measurements. It deals with what is also known as sparse phase retrieval…

Information Theory · Computer Science 2017-10-31 Gang Wang , Liang Zhang , Georgios B. Giannakis , Mehmet Akcakaya , Jie Chen

This contribution proposes a two stage strategy to allow for phase retrieval in state of the art sub-Nyquist sampling schemes for sparse multiband signals. The proposed strategy is based on data acquisition via modulated wideband converters…

Information Theory · Computer Science 2015-09-29 Çağkan Yapar , Volker Pohl , Holger Boche