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Based on $\alpha$-stable random projections with small $\alpha$, we develop a simple algorithm for compressed sensing (sparse signal recovery) by utilizing only the signs (i.e., 1-bit) of the measurements. Using only 1-bit information of…

Methodology · Statistics 2015-11-12 Ping Li

We consider multiple-antenna signal detection of primary user transmission signals by a secondary user receiver in cognitive radio networks. The optimal detector is analyzed for the scenario where the number of primary user signals is no…

Statistics Theory · Mathematics 2015-10-28 David Morales-Jimenez , Raymond H. Y. Louie , Matthew R. McKay , Yang Chen

One-bit quantization with time-varying sampling thresholds has recently found significant utilization potential in statistical signal processing applications due to its relatively low power consumption and low implementation cost. In…

Information Theory · Computer Science 2023-03-20 Arian Eamaz , Farhang Yeganegi , Deanna Needell , Mojtaba Soltanalian

This paper presents an analytical framework for the data detection in massive multiple-input multiple-output uplink systems with 1-bit analog-to-digital converters (ADCs). Considering the single-user case, we provide closed-form expressions…

Information Theory · Computer Science 2021-07-27 Italo Atzeni , Antti Tölli

This paper characterizes the performance of massive multiuser spatial modulation MIMO systems, when a regularized form of the least-squares method is used for detection. For a generic distortion function and right unitarily invariant…

Information Theory · Computer Science 2020-11-18 Ali Bereyhi , Saba Asaad , Bernhard Gäde , Ralf R. Müller , H. Vincent Poor

This paper presents a novel sparse signal detection scheme designed for a correlated Markovian Bernoulli-Gaussian sparse signal model, which can equivalently be viewed as a block sparse signal model. Despite the inherent complexity of the…

Signal Processing · Electrical Eng. & Systems 2024-03-19 Alireza Hariri , Hadi Zayyani , Mehdi Korki

In this paper we develop a theory of matrix completion for the extreme case of noisy 1-bit observations. Instead of observing a subset of the real-valued entries of a matrix M, we obtain a small number of binary (1-bit) measurements…

Statistics Theory · Mathematics 2014-07-02 Mark A. Davenport , Yaniv Plan , Ewout van den Berg , Mary Wootters

We present a novel iterative detection and decoding scheme for the uplink of large-scale multiuser multiple-antenna systems. In order to reduce the receiver's energy consumption and computational complexity, 1-bit analog-to-digital…

Information Theory · Computer Science 2017-12-27 Z. Shao , L. Landau , R. de Lamare

The availability of inexpensive devices allows nowadays to implement cognitive radio functionalities in large-scale networks such as the internet-of-things and future mobile cellular systems. In this paper, we focus on wideband spectrum…

Signal Processing · Electrical Eng. & Systems 2019-08-01 Andrea Mariani , Andrea Giorgetti , Marco Chiani

Enabling communications in the (sub-)THz band will call for massive multiple-input multiple-output (MIMO) arrays at either the transmit- or receive-side, or at both. To scale down the complexity and power consumption when operating across…

Signal Processing · Electrical Eng. & Systems 2023-12-05 Italo Atzeni , Antti Tölli , Duy H. N. Nguyen , A. Lee Swindlehurst

Sparse array arrangement has been widely used in vector-sensor arrays because of increased degree-of-freedoms for identifying more sources than sensors. For large-size sparse vector-sensor arrays, one-bit measurements can further reduce the…

Signal Processing · Electrical Eng. & Systems 2020-04-15 Zhiyong Cheng , Shengyao Chen , Qibin Shen , Jin He , Zhong liu

The present manuscript studies signal detection by likelihood ratio tests in a number of spiked random matrix models, including but not limited to Gaussian mixtures and spiked Wishart covariance matrices. We work directly with multi-spiked…

Statistics Theory · Mathematics 2018-04-03 Debapratim Banerjee , Zongming Ma

Target detection is an important problem in multiple-input multiple-output (MIMO) radar. Many existing target detection algorithms were proposed without taking into consideration the quantization error caused by analog-to-digital converters…

Signal Processing · Electrical Eng. & Systems 2021-05-21 Yu-Hang Xiao , David Ramírez , Peter J. Schreier , Cheng Qian , Lei Huang

An asymptotic technique is presented to characterize the bits/symbol achievable on a representative wireless link in a spatially distributed network with active interferers at correlated positions, N receive diversity branches, and linear…

Information Theory · Computer Science 2013-12-30 Siddhartan Govindasamy

Motivated by applications in unsourced random access, this paper develops a novel scheme for the problem of compressed sensing of binary signals. In this problem, the goal is to design a sensing matrix $A$ and a recovery algorithm, such…

Information Theory · Computer Science 2021-09-21 Elad Romanov , Or Ordentlich

Particle physics experiments such as those run in the Large Hadron Collider result in huge quantities of data, which are boiled down to a few numbers from which it is hoped that a signal will be detected. We discuss a simple probability…

Applications · Statistics 2011-02-18 A. C. Davison , N. Sartori

In this article, a general information-plus-noise transmission model is assumed, the receiver end of which is composed of a large number of sensors and is unaware of the noise pattern. For this model, and under reasonable assumptions, a set…

Information Theory · Computer Science 2015-06-12 Julia Vinogradova , Romain Couillet , Walid Hachem

We develop two algorithms, based on maximum likelihood (ML) inference, for estimating the parameters of polarized radio sources which emit at a single rotation measure (RM), e.g., pulsars. These algorithms incorporate the flux density…

Instrumentation and Methods for Astrophysics · Physics 2017-10-25 D. H. F. M. Schnitzeler , K. J. Lee

Binary measurements arise naturally in a variety of statistical and engineering applications. They may be inherent to the problem---e.g., in determining the relationship between genetics and the presence or absence of a disease---or they…

Information Theory · Computer Science 2014-08-01 Richard Baraniuk , Simon Foucart , Deanna Needell , Yaniv Plan , Mary Wootters

In this letter, we consider the detection of sparse stochastic signals with sensor networks (SNs), where the fusion center (FC) collects 1-bit data from the local sensors and then performs global detection. For this problem, a newly…

Signal Processing · Electrical Eng. & Systems 2019-11-06 Chengxi Li , You He , Xueqian Wang , Gang Li , Pramod K. Varshney