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The increasing deployment of distribution-level phasor measurement units (PMUs) calls for dynamic distribution state estimation (DDSE) approaches that tap into high-rate measurements to maintain a comprehensive view of the…

Optimization and Control · Mathematics 2020-01-09 Jianhan Song , Emiliano Dall'Anese , Andrea Simonetto , Hao Zhu

We present a general problem formulation for optimal parameter estimation based on quantized observations, with application to antenna array communication and processing (channel estimation, time-of-arrival (TOA) and direction-of-arrival…

Information Theory · Computer Science 2010-10-28 Amine Mezghani , Felix Antreich , Josef A. Nossek

Maximizing the computational utility of near-term quantum processors requires predictive noise models that inform robust, noise-aware compilation and error mitigation. Conventional models often fail to capture the complex error dynamics of…

Quantum Physics · Physics 2026-03-17 Yanjun Ji , Marco Roth , David A. Kreplin , Ilia Polian , Frank K. Wilhelm

Accurate phase extraction from sinusoidal signals is a crucial task in various signal processing applications. While prior research predominantly addresses the case of asynchronous sampling with unknown signal frequency, this study focuses…

Signal Processing · Electrical Eng. & Systems 2024-11-01 Emmanuel Dervieux , Florian Tilquin , Alexis Bisiaux , Wilfried Uhring

Stochastic differential equations describe well many physical, biological and sociological systems, despite the simplification often made in their derivation. Here the usage of simple stochastic differential equations to characterize and…

Data Analysis, Statistics and Probability · Physics 2016-07-27 Daniel Pumpe , Maksim Greiner , Ewald Müller , Torsten A. Enßlin

In task-based quantization, a multivariate analog signal is transformed into a digital signal using a limited number of low-resolution analog-to-digital converters (ADCs). This process aims to minimize a fidelity criterion, which is…

Information Theory · Computer Science 2024-02-05 Marian Temprana Alonso , Farhad Shirani , Neil Irwin Bernardo , Yonina C. Eldar

Quantile regression is a statistical method for estimating conditional quantiles of a response variable. In addition, for mean estimation, it is well known that quantile regression is more robust to outliers than $l_2$-based methods. By…

Methodology · Statistics 2021-08-18 Steven Siwei Ye , Oscar Hernan Madrid Padilla

Time-synchronized state estimation is a challenge for distribution systems because of limited real-time observability. This paper addresses this challenge by formulating a deep learning (DL)-based approach to perform unbalanced three-phase…

Machine Learning · Computer Science 2021-02-11 Behrouz Azimian , Reetam Sen Biswas , Anamitra Pal , Lang Tong

In this paper, we consider a least-squares (LS)-based distributed algorithm build on a sensor network to estimate an unknown parameter vector of a dynamical system, where each sensor in the network has partial information only but is…

Systems and Control · Electrical Eng. & Systems 2022-12-19 Siyu Xie , Yaqi Zhang , Lei Guo

Minimum mean squared error (MMSE) estimators of signals from samples corrupted by jitter (timing noise) and additive noise are nonlinear, even when the signal prior and additive noise have normal distributions. This paper develops a…

Applications · Statistics 2015-03-24 Daniel S. Weller , Vivek K Goyal

In this paper, a self-adaptive contractive (SAC) algorithm is proposed for enhanced dynamic phasor estimation in the diverse operating conditions of modern power systems. At a high-level, the method is composed of three stages: parameter…

Signal Processing · Electrical Eng. & Systems 2019-05-01 Francisco Messina , Pablo Marchi , Leonardo Rey Vega , Cecilia Galarza

In signal quantization, it is well-known that introducing adaptivity to quantization schemes can improve their stability and accuracy in quantizing bandlimited signals. However, adaptive quantization has only been designed for…

Information Theory · Computer Science 2022-02-07 He Lyu , Rongrong Wang

Extracting the outcome of a quantum computation is a difficult task. In many cases, the quantum phase estimation algorithm is used to digitally encode a value in a quantum register whose amplitudes' magnitudes reflect the discrete sinc…

Quantum Physics · Physics 2022-07-04 Charlee Stefanski , Vanio Markov , Constantin Gonciulea

Quantization is essential for reducing the computational cost and memory usage of deep neural networks, enabling efficient inference on low-precision hardware. Despite the growing adoption of uniform and floating-point quantization schemes,…

Machine Learning · Statistics 2026-05-19 Mehmet Aktukmak , Daniel Huang , Ke Ding

The performance of kernel density estimators is usually studied via Taylor expansions and asymptotic approximation arguments, in which the bandwidth parameter tends to zero with increasing sample size. In contrast, this paper focusses…

Statistics Theory · Mathematics 2026-02-25 Nils Lid Hjort , Nikolai G. Ushakov

This paper studies the impact of quantization in integrate-and-fire time encoding machine (IF-TEM) sampler used for bandlimited (BL) and finite-rate-of-innovation (FRI) signals. An upper bound is derived for the mean squared error (MSE) of…

Information Theory · Computer Science 2024-05-03 Hila Naaman , Neil Irwin Bernardo , Alejandro Cohen , Yonina C. Eldar

Processing, storing and communicating information that originates as an analog signal involves conversion of this information to bits. This conversion can be described by the combined effect of sampling and quantization, as illustrated in…

Information Theory · Computer Science 2018-05-23 Alon Kipnis , Yonina C. Eldar , Andrea J. Goldsmith

In this paper, we investigate the relationship between the dynamic range and quantization noise power in modulo analog-to-digital converters (ADCs). Two modulo ADC systems are considered: (1) a modulo ADC which outputs the folded samples…

Signal Processing · Electrical Eng. & Systems 2025-09-03 Neil Irwin Bernardo , Shaik Basheeruddin Shah , Yonina C. Eldar

In the noisy intermediate-scale quantum (NISQ) era, quantum error mitigation (QEM) is essential for producing reliable outputs from quantum circuits. We present a statistical signal processing approach to QEM that estimates the most likely…

Networked systems usually face different random uncertainties that make the performance of the least-squares (LS) linear filter decline significantly. For this reason, great attention has been paid to the search for other kinds of…

Systems and Control · Electrical Eng. & Systems 2024-08-26 Raquel Caballero-Águila , Josefa Linares-Pérez