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The recovery of the input signal covariance values from its one-bit sampled counterpart has been deemed a challenging task in the literature. To deal with its difficulties, some assumptions are typically made to find a relation between the…

Signal Processing · Electrical Eng. & Systems 2022-04-01 Arian Eamaz , Farhang Yeganegi , Mojtaba Soltanalian

Covariance matrix reconstruction is a topic of great significance in the field of one-bit signal processing and has numerous practical applications. Despite its importance, the conventional arcsine law with zero threshold is incapable of…

Signal Processing · Electrical Eng. & Systems 2023-03-30 Yu-Hang Xiao , Lei Huang , David Ramírez , Cheng Qian , Hing Cheung So

In this paper, we consider the problem of signal recovery from 1-bit noisy measurements. We present an efficient method to obtain an estimation of the signal of interest when the measurements are corrupted by white or colored noise. To the…

Information Theory · Computer Science 2019-03-13 Shahin Khobahi , Mojtaba Soltanalian

One-bit quantization with time-varying sampling thresholds (also known as random dithering) has recently found significant utilization potential in statistical signal processing applications due to its relatively low power consumption and…

Information Theory · Computer Science 2024-01-17 Arian Eamaz , Farhang Yeganegi , Deanna Needell , Mojtaba Soltanalian

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…

Signal Processing · Electrical Eng. & Systems 2023-01-10 Arian Eamaz , Farhang Yeganegi , Deanna Needell , Mojtaba Soltanalian

Modulo sampling has recently drawn a great deal of attention for cutting-edge applications, due to overcoming the barrier of information loss through sensor saturation and clipping. This is a significant problem, especially when the range…

Signal Processing · Electrical Eng. & Systems 2024-01-02 Qi Zhang , Jiang Zhu , Fengzhong Qu , De Wen Soh

A {\em universal 1-bit compressive sensing (CS)} scheme consists of a measurement matrix $A$ such that all signals $x$ belonging to a particular class can be approximately recovered from $\textrm{sign}(Ax)$. 1-bit CS models extreme…

Information Theory · Computer Science 2022-05-19 Sidhant Bansal , Arnab Bhattacharyya , Anamay Chaturvedi , Jonathan Scarlett

There have been a number of studies on sparse signal recovery from one-bit quantized measurements. Nevertheless, little attention has been paid to the choice of the quantization thresholds and its impact on the signal recovery performance.…

Information Theory · Computer Science 2013-05-21 Jun Fang , Yanning Shen , Hongbin Li

Self-reset analog-to-digital converters (ADCs) are used to sample high dynamic range signals resulting in modulo-operation based folded signal samples. We consider the case where each vertex of a graph (e.g., sensors in a network) is…

Signal Processing · Electrical Eng. & Systems 2020-01-22 Feng Ji , Pratibha , Wee Peng Tay

One-bit compressive sensing (CS) is an advanced version of sparse recovery in which the sparse signal of interest can be recovered from extremely quantized measurements. Namely, only the sign of each measurement is available to us. In many…

Information Theory · Computer Science 2019-10-22 Hossein Beheshti , Sajad Daei , Farzan Haddadi

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

In this work, the problem of signal parameter estimation from measurements acquired by a low-complexity analog-to-digital converter (ADC) with $1$-bit output resolution and an unknown quantization threshold is considered. Single-comparator…

Information Theory · Computer Science 2018-05-09 Manuel S. Stein , Shahar Bar , Josef A. Nossek , Joseph Tabrikian

We consider the classical problem of estimating the covariance matrix of a subgaussian distribution from i.i.d. samples in the novel context of coarse quantization, i.e., instead of having full knowledge of the samples, they are quantized…

Information Theory · Computer Science 2022-04-25 Sjoerd Dirksen , Johannes Maly , Holger Rauhut

Consider the recovery of an unknown signal ${x}$ from quantized linear measurements. In the one-bit compressive sensing setting, one typically assumes that ${x}$ is sparse, and that the measurements are of the form…

Machine Learning · Statistics 2016-01-20 Karin Knudson , Rayan Saab , Rachel Ward

Target parameter estimation in active sensing, and particularly radar signal processing, is a long-standing problem that has been studied extensively. In this paper, we propose a novel approach for target parameter estimation in cases where…

Signal Processing · Electrical Eng. & Systems 2022-08-10 Aria Ameri , Arindam Bose , Jian Li , Mojtaba Soltanalian

In this contribution, we investigate a coarsely quantized Multi-User (MU)-Multiple Input Single Output (MISO) downlink communication system, where we assume 1-Bit Digital-to-Analog Converters (DACs) at the Base Station (BS) antennas. First,…

Information Theory · Computer Science 2018-03-01 Oliver De Candido , Hela Jedda , Amine Mezghani , A. Lee Swindlehurst , Josef A. Nossek

One-bit compressed sensing (1bCS) is a method of signal acquisition under extreme measurement quantization that gives important insights on the limits of signal compression and analog-to-digital conversion. The setting is also equivalent to…

Information Theory · Computer Science 2021-05-12 Larkin Flodin , Venkata Gandikota , Arya Mazumdar

In this work, we consider the acquisition of stationary signals using uniform analog-to-digital converters (ADCs), i.e., employing uniform sampling and scalar uniform quantization. We jointly optimize the pre-sampling and reconstruction…

Information Theory · Computer Science 2022-05-12 Peter Neuhaus , Nir Shlezinger , Meik Dörpinghaus , Yonina C. Eldar , Gerhard Fettweis

One-bit compressed sensing (1bCS) is an extreme-quantized signal acquisition method that has been intermittently studied in the past decade. In 1bCS, linear samples of a high dimensional signal are quantized to only one bit per sample (sign…

Information Theory · Computer Science 2021-09-15 Arya Mazumdar , Soumyabrata Pal

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
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