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Related papers: Line Spectral Estimation with Unlimited Sensing

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Algorithms for bilevel optimization often encounter Hessian computations, which are prohibitive in high dimensions. While recent works offer first-order methods for unconstrained bilevel problems, the constrained setting remains relatively…

Optimization and Control · Mathematics 2025-04-22 Guy Kornowski , Swati Padmanabhan , Kai Wang , Zhe Zhang , Suvrit Sra

High data rates require vast bandwidths, that can be found in the sub-THz band, and high sampling frequencies, which are predicted to lead to a problematically high analog-to-digital converter (ADC) power consumption. It was proposed to use…

Signal Processing · Electrical Eng. & Systems 2023-09-13 Florian Gast , Stephan Zeitz , Meik Dörpinghaus , Gerhard P. Fettweis

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

The line spectrum estimation problem is considered in this paper. We propose a CFAR-based Newtonized OMP (NOMP-CFAR) method which can maintain a desired false alarm rate without the knowledge of the noise variance. The NOMP-CFAR consists of…

Information Theory · Computer Science 2022-10-20 Menghuai Xu , Jiang Zhu , Jun Fang , Ning Zhang , Zhiwei Xu

Nonlinearities in power amplifiers adversely affect multi-carrier modulation techniques. Accurate prediction of nonlinear distortion is essential for making design trade-offs between output power and network throughput. We use the series…

Signal Processing · Electrical Eng. & Systems 2025-10-29 Cameron M. Pike , Brad Oney , Gabriel Hepner , Animesh Yadav

Suppose that we observe noisy linear measurements of an unknown signal that can be modeled as the sum of two component signals, each of which arises from a nonlinear sub-manifold of a high dimensional ambient space. We introduce SPIN, a…

Information Theory · Computer Science 2012-06-11 Chinmay Hegde , Richard G. Baraniuk

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

Massive multiple input and multiple output (MIMO) systems with orthogonal frequency division multiplexing (OFDM) are foundational for downlink multi-user (MU) communication in future wireless networks, for their ability to enhance spectral…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Erdeng Zhang , Shuntian Zheng , Sheng Wu , Haoge Jia , Zhe Ji , Ailing Xiao

A low-complexity model for signal quality prediction in a nonlinear fiber-optical network is developed. The model, which builds on the Gaussian noise model, takes into account the signal degradation caused by a combination of chromatic…

Optics · Physics 2015-01-07 Pontus Johannisson , Erik Agrell

We propose an efficient algorithm for reconstructing one-dimensional wide-band line spectra from their Fourier data in a bounded interval $[-\Omega,\Omega]$. While traditional subspace methods such as MUSIC achieve super-resolution for…

Signal Processing · Electrical Eng. & Systems 2023-10-30 Zetao Fei , Hai Zhang

Automatic modulation classification (AMC) is to identify the modulation format of the received signal corrupted by the channel effects and noise. Most existing works focus on the impact of noise while relatively little attention has been…

Signal Processing · Electrical Eng. & Systems 2023-10-13 Sai Huang , Yuting Chen , Jiashuo He , Shuo Chang , Zhiyong Feng

Unlimited sampling provides an acquisition scheme for high dynamic range signals by folding the signal into the dynamic range of the analog-to-digital converter (ADC) using modulo non-linearity prior to sampling to prevent saturation.…

Numerical Analysis · Mathematics 2025-04-09 Matthias Beckmann , Jürgen Jeschke

Intelligent spectrum management is crucial for improving spectrum efficiency and achieving secure utilization of spectrum resources. However, existing intelligent spectrum management methods, typically based on small-scale models, suffer…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Fuhui Zhou , Chunyu Liu , Hao Zhang , Wei Wu , Qihui Wu , Tony Q. S. Quek , Chan-Byoung Chae

Phase wrapping is a major problem in direction-of-arrival (DOA) estimation using phase-difference observations. For a sensor pair with an inter-sensor spacing greater than half of the wavelength ($\lambda/2$) of the signal, phase wrapping…

Signal Processing · Electrical Eng. & Systems 2021-10-22 Hui Chen , Tarig Ballal , Tareq Y. Al-Naffouri

We consider the problem of computing a binary linear transformation using unreliable components when all circuit components are unreliable. Two noise models of unreliable components are considered: probabilistic errors and permanent errors.…

Information Theory · Computer Science 2017-05-16 Yaoqing Yang , Pulkit Grover , Soummya Kar

It was recently shown [7, 9] that "properly built" linear and polyhedral estimates nearly attain minimax accuracy bounds in the problem of recovery of unknown signal from noisy observations of linear images of the signal when the signal set…

Optimization and Control · Mathematics 2023-12-25 Yannis Bekri , Anatoli Juditsky , Arkadi Nemirovski

This paper presents an efficient optimization technique for gridless {2-D} line spectrum estimation, named decoupled atomic norm minimization (D-ANM). The framework of atomic norm minimization (ANM) is considered, which has been…

Signal Processing · Electrical Eng. & Systems 2022-04-27 Zhe Zhang , Yue Wang , Zhi Tian

The long time effect of nonlinear perturbation to oscillatory linear systems can be characterized by the averaging method, and we consider first-order averaging for its simplest applicability to high-dimensional problems. Instead of the…

Classical Analysis and ODEs · Mathematics 2018-12-05 Molei Tao

In this paper, we describe a general algorithmic framework for solving linear signal or feature fusion optimization problems in a distributed setting, for example in a wireless sensor network (WSN). These problems require linearly combining…

Signal Processing · Electrical Eng. & Systems 2023-05-12 Cem Ates Musluoglu , Alexander Bertrand

We consider the problem of recovering of continuous multi-dimensional functions from the noisy observations over the regular grid. Our focus is at the adaptive estimation in the case when the function can be well recovered using a linear…

Statistics Theory · Mathematics 2009-03-06 Anatoli Iouditski , Arkadii S. Nemirovski