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Sparse recovery algorithms are of utmost importance for estimation processes in wireless communications. However, communication systems such as massive multiple input multiple output (MIMO) systems are rapidly growing in dimension, which…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Nay Klaimi , Philippe Mary , Luc Le Magoarou

Compressed sensing (CS) schemes are proposed for monostatic as well as synthetic aperture radar (SAR) imaging with chirped signals and Ultra-Narrowband (UNB) continuous waveforms. In particular, a simple, perturbation method is developed to…

Data Analysis, Statistics and Probability · Physics 2015-06-11 Albert Fannjiang , Hsiao-Chieh Tseng

Greedy algorithms for minimizing L0-norm of sparse decomposition have profound application impact on many signal processing problems. In the sparse coding setup, given the observations $\mathrm{y}$ and the redundant dictionary…

Numerical Analysis · Computer Science 2015-02-13 Yuanyi Xue , Yao Wang

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

We study packetized predictive control, known to be robust against packet dropouts in networked systems. To obtain sparse packets for rate-limited networks, we design control packets via an L0 optimization, which can be effectively solved…

Systems and Control · Computer Science 2013-08-05 Masaaki Nagahara , Daniel E. Quevedo , Jan Ostergaard

Contrary to the traditional pursuit of research on nonuniform sampling of bandlimited signals, the objective of the present paper is not to find sampling conditions that permit perfect reconstruction, but to perform the best possible signal…

Signal Processing · Electrical Eng. & Systems 2024-04-05 Nguyen T. Thao , Dominik Rzepka , Marek Miskowicz

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

Signal Processing · Electrical Eng. & Systems 2021-10-15 Michael Koller , Wolfgang Utschick

This letter revisits the channel estimation problem for MIMO systems with one-bit analog-to-digital converters (ADCs) through a novel algorithm--Amplitude Retrieval (AR). Unlike the state-of-the-art methods such as those based on one-bit…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Cheng Qian , Xiao Fu , Nicholas D. Sidiropoulos

In this letter, we propose a modulation classification algorithm which is based on the received signal's amplitude for coherent optical receivers. The proposed algorithm classifies the modulation format from several possible candidates by…

Signal Processing · Electrical Eng. & Systems 2018-01-08 Xiang Lin , Yahia A. Eldemerdash , Octavia A. Dobre , Shu Zhang , Cheng Li

Support recovery of sparse signals from noisy measurements with orthogonal matching pursuit (OMP) has been extensively studied in the literature. In this paper, we show that for any $K$-sparse signal $\x$, if the sensing matrix $\A$…

Information Theory · Computer Science 2018-07-13 JInming Wen , Zhengchun Zhou , Jian Wang , Xiaohu Tang , Qun Mo

We investigate the reconstruction of multivariate functions from samples using sparse recovery techniques. For Square Root Lasso, Orthogonal Matching Pursuit, and Compressive Sampling Matching Pursuit, we demonstrate both theoretically and…

Numerical Analysis · Mathematics 2026-01-21 Moritz Moeller , Sebastian Neumayer , Kateryna Pozharska , Tizian Sommerfeld , Tino Ullrich

The theoretical basis for conventional acquisition of bandlimited signals typically relies on uniform time sampling and assumes infinite-precision amplitude values. In this paper, we explore signal representation and recovery based on…

Signal Processing · Electrical Eng. & Systems 2020-02-10 Pablo Martínez-Nuevo , Hsin-Yu Lai , Alan V. Oppenheim

The high peak-to-average-power ratio (PAPR) of orthogonal frequency-division multiplexing (OFDM) degrades the performance in optical wireless communication systems. This paper proposes a modified asymmetrically clipped optical OFDM…

Information Theory · Computer Science 2015-01-14 W. Xu , M. Wu , H. Zhang , X. You , C. Zhao

Best-first search has been recently utilized for compressed sensing (CS) by the A* orthogonal matching pursuit (A*OMP) algorithm. In this work, we concentrate on theoretical and empirical analyses of A*OMP. We present a restricted isometry…

Information Theory · Computer Science 2016-11-26 Nazim Burak Karahanoglu , Hakan Erdogan

Bayesian optimization is a promising methodology for analog circuit synthesis. However, the sequential nature of the Bayesian optimization framework significantly limits its ability to fully utilize real-world computational resources. In…

Machine Learning · Computer Science 2021-06-30 Shuhan Zhang , Fan Yang , Changhao Yan , Dian Zhou , Xuan Zeng

In this work we propose a nonconvex two-stage \underline{s}tochastic \underline{a}lternating \underline{m}inimizing (SAM) method for sparse phase retrieval. The proposed algorithm is guaranteed to have an exact recovery from $O(s\log n)$…

Numerical Analysis · Mathematics 2022-11-23 Jian-Feng Cai , Yuling Jiao , Xiliang Lu , Juntao You

Due to the ever increasing data rate demand of beyond 5G networks and considering the wide range of Orthogonal Frequency Division Multipllexing (OFDM) technique in cellular systems, it is critical to reduce pilot overhead of OFDM systems in…

Information Theory · Computer Science 2023-05-05 Mohammad Hossein Bahonar , Reza Ghaderi Zefreh , Rouhollah Amiri

This paper proposes an enhanced coarray transformation model (EDCTM) and a mixed greedy maximum likelihood algorithm called List-Based Maximum Likelihood Orthogonal Matching Pursuit (LBML-OMP) for direction-of-arrival estimation with…

Signal Processing · Electrical Eng. & Systems 2021-05-11 W. S. Leite , R. C. de Lamare

The orthogonal multi-matching pursuit (OMMP) is a natural extension of orthogonal matching pursuit (OMP). We denote the OMMP with the parameter $M$ as OMMP(M) where $M\geq 1$ is an integer. The main difference between OMP and OMMP(M) is…

Information Theory · Computer Science 2013-07-18 Zhiqiang Xu

We study unconstrained optimization problems with nonsmooth and convex objective function in the form of a mathematical expectation. The proposed method approximates the expected objective function with a sample average function using…

Optimization and Control · Mathematics 2022-11-03 Natasa Krejic , Natasa Krklec Jerinkic , Tijana Ostojic