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In the context of distributed estimation, we consider the problem of sensor collaboration, which refers to the act of sharing measurements with neighboring sensors prior to transmission to a fusion center. While incorporating the cost of…

Methodology · Statistics 2015-06-22 Sijia Liu , Swarnendu Kar , Makan Fardad , Pramod K. Varshney

We consider the problem of signal estimation (denoising) from a statistical mechanical perspective, using a relationship between the minimum mean square error (MMSE), of estimating a signal, and the mutual information between this signal…

Information Theory · Computer Science 2016-11-17 Neri Merhav , Dongning Guo , Shlomo Shamai

The formalism for computing the signal-to-noise ratio (SNR) for laser radar is reviewed and applied to the tasks of target detection, direction-finding, and phase change estimation with squeezed light. The SNR for heterodyne detection of…

Quantum Physics · Physics 2009-08-12 Mark A. Rubin , Sumanth Kaushik

Performance analysis of optimal signal detection using quantized received signals of a linear vector channel, which is an extension of code-division multiple-access (CDMA) or multiple-input multiple-output (MIMO) channels, in the large…

Information Theory · Computer Science 2008-05-23 Kazutaka Nakamura

Since its development, the minimax framework has been one of the corner stones of theoretical statistics, and has contributed to the popularity of many well-known estimators, such as the regularized M-estimators for high-dimensional…

Statistics Theory · Mathematics 2024-01-01 Yilin Guo , Haolei Weng , Arian Maleki

Numerical studies of quantum field theories usually rely upon an accurate determination of stochastically estimated correlation functions in order to extract information about the spectrum of the theory and matrix elements of operators. The…

High Energy Physics - Lattice · Physics 2014-09-22 William Detmold , Michael G. Endres

State estimation and sensor selection problems for nonlinear networks and systems are ubiquitous problems that are important for the control, monitoring, analysis, and prediction of a large number of engineered and physical systems. Sensor…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Aleksandar Haber

This paper presents two schemes to jointly estimate parameters and states of discrete-time nonlinear systems in the presence of bounded disturbances and noise and where the parameters belong to a known compact set. The schemes are based on…

Optimization and Control · Mathematics 2022-03-23 T. J. Meijer , V. S. Dolk , M. S. Chong , R. Postoyan , B. de Jager , D. Nešić , W. P. M. H. Heemels

The ultimate sensitivity of optical detection is limited by the signal-to-noise ratio (SNR). The first part of the paper shows that coherence plays an important role in the noise analysis. Although interference between an auxiliary wave and…

Optics · Physics 2007-05-23 Taras Plakhotnik

This paper investigates the problem of linear spatial collaboration for distributed estimation in wireless sensor networks. In this context, the sensors share their local noisy (and potentially spatially correlated) observations with each…

Information Theory · Computer Science 2016-11-17 Mohammad Fanaei , Matthew C. Valenti , Abbas Jamalipour , Natalia A. Schmid

In this paper, a new cooperation structure for spectrum sensing in cognitive radio networks is proposed which outperforms the existing commonly-used ones in terms of energy efficiency. The efficiency is achieved in the proposed design by…

Information Theory · Computer Science 2015-09-11 Younes Abdi , Tapani Ristaniemi

Image denoising has achieved unprecedented progress as great efforts have been made to exploit effective deep denoisers. To improve the denoising performance in realworld, two typical solutions are used in recent trends: devising better…

Image and Video Processing · Electrical Eng. & Systems 2022-04-06 Yunhao Zou , Ying Fu

The core challenge of hyperspectral image denoising is striking the right balance between data fidelity and noise prior modeling. Most existing methods place too much emphasis on the intrinsic priors of the image while overlooking diverse…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Xuelin Xie , Xiliang Lu , Zhengshan Wang , Yang Zhang , Long Chen

Spectral estimation (SE) aims to identify how the energy of a signal (e.g., a time series) is distributed across different frequencies. This can become particularly challenging when only partial and noisy observations of the signal are…

Machine Learning · Statistics 2019-01-15 Felipe Tobar

Noise radars can be understood in terms of a correlation coefficient which characterizes their detection performance. Although most results in the literature are stated in terms of the signal-to-noise ratio (SNR), we show that it is…

Signal Processing · Electrical Eng. & Systems 2022-04-19 David Luong , Bhashyam Balaji , Sreeraman Rajan

Baseband processing algorithms often require knowledge of the noise power, signal power, or signal-to-noise ratio (SNR). In practice, these parameters are typically unknown and must be estimated. Furthermore, the mean-square error (MSE) is…

Signal Processing · Electrical Eng. & Systems 2023-03-28 Alexandra Gallyas-Sanhueza , Christoph Studer

This paper examines signal detection in the presence of noise, with a particular emphasis to the nuclear activation analysis. The problem is to decide what between the signal-plus-background and no-signal hypotheses fits better the data and…

Data Analysis, Statistics and Probability · Physics 2013-01-09 Luigi Bergamaschi , Giancarlo D'Agostino , Laura Giordani , Giovanni Mana , Massimo Oddone

A hybrid detector that fuses both quantized and full-precision observations is proposed for weak signal detection under additive and multiplicative Gaussian noise. We first derive a locally most powerful test (LMPT)--based hybrid detector…

Signal Processing · Electrical Eng. & Systems 2025-10-09 Linlin Mao , Zeping Sui , Michail Matthaiou , Hongbin Li

This paper has been withdrawn by the authors. Please see arXiv:1302.6058. We consider the sequential joint detection and estimation problem. Minimizing the average stopping time subject to a combination of detection and estimation…

Methodology · Statistics 2013-04-15 Yasin Yilmaz , George V. Moustakides , Xiaodong Wang

In this paper, we study the design and analysis of optimal detection scheme for sensors that are deployed to monitor the change in the environment and are powered by the energy harvested from the environment. In this type of applications,…

Information Theory · Computer Science 2015-06-15 Jun Geng , Lifeng Lai
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