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When is optimal estimation linear? It is well known that, when a Gaussian source is contaminated with Gaussian noise, a linear estimator minimizes the mean square estimation error. This paper analyzes, more generally, the conditions for…

Information Theory · Computer Science 2015-03-19 Emrah Akyol , Kumar Viswanatha , Kenneth Rose

This paper proposes a novel algorithm to determine the optimal placement of redundant inertial sensors such as accelerometers and gyroscopes (gyros) for increasing the sensing accuracy. In this paper, we have proposed a novel iterative…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Nitesh Sahu , Prabhu Babu , Arun Kumar , Rajendar Bahl

Spectrum sensing technology is a crucial aspect of modern communication technology, serving as one of the essential techniques for efficiently utilizing scarce information resources in tight frequency bands. This paper first introduces…

Signal Processing · Electrical Eng. & Systems 2023-12-04 Fanfei Meng , Yuxin Wang , Lele Zhang , Yingxin Zhao

The performance of Neyman-Pearson detection of correlated stochastic signals using noisy observations is investigated via the error exponent for the miss probability with a fixed level. Using the state-space structure of the signal and…

Information Theory · Computer Science 2016-11-17 Youngchul Sung , Lang Tong , H. Vincent Poor

Compressed Sensing suggests that the required number of samples for reconstructing a signal can be greatly reduced if it is sparse in a known discrete basis, yet many real-world signals are sparse in a continuous dictionary. One example is…

Information Theory · Computer Science 2015-07-24 Yuanxin Li , Yuejie Chi

We investigate the optimal performance of dense sensor networks by studying the joint source-channel coding problem. The overall goal of the sensor network is to take measurements from an underlying random process, code and transmit those…

Information Theory · Computer Science 2007-07-13 Nan Liu , Sennur Ulukus

This paper studies the classical problem of detecting the locations of signal occurrences in a one-dimensional noisy measurement. Assuming the signal occurrences do not overlap, we formulate the detection task as a constrained likelihood…

Signal Processing · Electrical Eng. & Systems 2023-02-20 Mordechai Roth , Amichai Painsky , Tamir Bendory

In applications that involve sensor data, a useful measure of signal-to-noise ratio (SNR) is the ratio of the root-mean-squared (RMS) signal to the RMS sensor noise. The present paper shows that, for numerical differentiation, the…

Systems and Control · Electrical Eng. & Systems 2025-01-28 Shashank Verma , Mohammad Almuhaihi , Dennis S. Bernstein

We consider a decentralized detection problem in a power-constrained wireless sensor networks (WSNs), in which a number of sensor nodes collaborate to detect the presence of a deterministic vector signal. The signal to be detected is…

Information Retrieval · Computer Science 2015-10-28 Jun Fang , Hongbin Li , Zhi Chen , Shaoqian Li

In this paper, we propose a low-complexity blind estimator for the average noise power, average signal power, and signal-to-noise ratio (SNR) in millimeter-wave (mmWave) massive multi-antenna uplink systems. In particular, the proposed…

Signal Processing · Electrical Eng. & Systems 2026-05-13 Hanyoung Park , Homin Jang , Ji-Woong Choi

A distributed inference scheme which uses bounded transmission functions over a Gaussian multiple access channel is considered. When the sensor measurements are decreasingly reliable as a function of the sensor index, the conditions on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-16 Sivaraman Dasarathan , Cihan Tepedelenlioglu

Robustness to outliers is often a desirable property of statistical estimators. Indeed many well known estimators offer very good optimal performance in theory but are unusable in applied contexts because of their sensitivity to outliers.…

Statistics Theory · Mathematics 2016-12-01 Christophe Culan , Claude Adnet

Signal-to-noise ratio (SNR) statistics play a central role in many applications. A common situation where SNR is studied is when a continuous time signal is sampled at a fixed frequency with some noise in the background. While estimation…

Methodology · Statistics 2021-11-05 Francesco Giordano , Pietro Coretto

Noise is an unavoidable part of most measurements which can hinder a correct interpretation of the data. Uncertainties propagate in the data analysis and can lead to biased results even in basic descriptive statistics such as the central…

Instrumentation and Methods for Astrophysics · Physics 2023-11-27 Lorenzo Rimoldini

Achieving quantum-enhanced performances when measuring unknown quantities requires developing suitable methodologies for practical scenarios, that include noise and the availability of a limited amount of resources. Here, we report on the…

The estimation of the frequencies of multiple superimposed exponentials in noise is an important research problem due to its various applications from engineering to chemistry. In this paper, we propose an efficient and accurate algorithm…

Numerical Analysis · Mathematics 2016-05-05 Shanglin Ye , Elias Aboutanios

Coupled oscillator-based networks are an attractive approach for implementing hardware neural networks based on emerging nanotechnologies. However, the readout of the state of a coupled oscillator network is a difficult challenge in…

Emerging Technologies · Computer Science 2016-07-08 Damir Vodenicarevic , Nicolas Locatelli , Julie Grollier , Damien Querlioz

Using simulated signals and measured noise with the EXPLORER and NAUTILUS detectors we find the efficiency of signal detection and the signal arrival time dispersion versus the signal-to-noise ratio.

General Relativity and Quantum Cosmology · Physics 2011-08-17 P. Astone , S. D'Antonio , G. Pizzella

The paper focuses on minimum mean square error (MMSE) Bayesian estimation for a Gaussian source impaired by additive Middleton's Class-A impulsive noise. In addition to the optimal Bayesian estimator, the paper considers also the…

Information Theory · Computer Science 2016-11-17 Paolo Banelli

To accurately estimate locations and velocities of surrounding targets (cars) is crucial for advanced driver assistance systems based on radar sensors. In this paper we derive methods for fusing data from multiple radar sensors in order to…

Signal Processing · Electrical Eng. & Systems 2019-08-08 Bin Zhu , Augusto Ferrante , Johan Karlsson , Mattia Zorzi
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