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The Alternating Direction Method of Multipliers (ADMM) has been studied for years. The traditional ADMM algorithm needs to compute, at each iteration, an (empirical) expected loss function on all training examples, resulting in a…

Machine Learning · Statistics 2014-06-10 Peilin Zhao , Jinwei Yang , Tong Zhang , Ping Li

The paper is devoted to synthesis of recurrent algorithms for detection of stochastic signals given in state space. The structure of the algorithms synthesized is shown to be close to that of the Kalman filter. Analysis of one of the…

In this contribution, it is proposes to limit the quantization search space of a successive approximation analog-to-digital converter through an analytic derivation of maximum possible sample-to-sample variation. The presented example…

Signal Processing · Electrical Eng. & Systems 2019-05-30 Mehdi Safarpour , Reza Inanlou , Olli Silven , Timo Rahkonen , Omid Shoaei

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

This paper addresses the design and analysis of a multivariable gradient-based stochastic extremum-seeking control method for multi-input systems with arbitrary input delays. The approach accommodates systems with distinct time delays…

Optimization and Control · Mathematics 2024-11-19 Paulo Cesar Souza Silva , Paulo Cesar Pellanda , Tiago Roux Oliveira

Small-signal stability issues-induced broadband oscillations pose significant threats to the secure operation of multi-inverter systems, attracting extensive research attention. Researches revealed that system instability is led by the…

Systems and Control · Electrical Eng. & Systems 2025-07-25 Yang Li , Zenghui Zheng , Xiangyang Wu , Jiayong Li , Wei Wang , Qiang Zeng , Zhikang Shuai

In this technical note, we prove that the ODEFTC algorithm constitutes the first optimal distributed state estimator for continuous-time linear time-varying systems subject to stochastic disturbances. Particularly, we formally show that it…

Optimization and Control · Mathematics 2025-10-22 Irene Perez-Salesa , Rodrigo Aldana-Lopez , Carlos Sagues

Superconducting quantum computers (SQC) can solve some specific problems which are deeply believed to be intractable for classical computers. The control and measurement of qubits can't go on without the synchronous operation of…

Signal Processing · Electrical Eng. & Systems 2018-06-12 Li-Hua Sun , Fu-Tian Liang , Jin Lin , Cheng Guo , Yu Xu , Sheng-Kai Liao , Cheng-Zhi Peng

We propose a fast and near-optimal approach to joint channel-estimation, equalization, and decoding of coded single-carrier (SC) transmissions over frequency-selective channels with few-bit analog-to-digital converters (ADCs). Our approach…

Information Theory · Computer Science 2019-01-30 Peng Sun , Zhongyong Wang , Robert W. Heath , Philip Schniter

When scaling distributed training, the communication overhead is often the bottleneck. In this paper, we propose a novel SGD variant with reduced communication and adaptive learning rates. We prove the convergence of the proposed algorithm…

Machine Learning · Computer Science 2020-12-08 Cong Xie , Oluwasanmi Koyejo , Indranil Gupta , Haibin Lin

Current-steering digital-to-analog converter (DAC) is a prominent architecture that is commonly used in high-speed applications such as optical communications. One of the shortcomings of this architecture is the output glitches that are…

Signal Processing · Electrical Eng. & Systems 2025-12-10 Ramin Babaee , Shahab Oveis Gharan , Martin Bouchard

This brief, aimed at practitioners, offers an analysis of the effect of sampling-time jitter, i. e., the error produced by execution-time inaccuracies. We propose reinterpreting jitter-afflicted linear time-invariant systems through…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Dieter Schwarzmann , Simon Käser

The random demodulator is a recent compressive sensing architecture providing efficient sub-Nyquist sampling of sparse band-limited signals. The compressive sensing paradigm requires an accurate model of the analog front-end to enable…

Information Theory · Computer Science 2013-03-26 Pawel Jerzy Pankiewicz , Thomas Arildsen , Torben Larsen

This paper presents an adaptive Kalman filter for a linear dynamic system perturbed by an additive disturbance. The objective is to estimate both of the state and the unknown disturbance concurrently, while learning the disturbance as a…

Optimization and Control · Mathematics 2019-10-23 Taeyoung Lee

This paper is concerned with the strong approximation of a semi-linear stochastic wave equation with strong damping, driven by additive noise. Based on a spatial discretization performed by a spectral Galerkin method, we introduce a kind of…

Numerical Analysis · Mathematics 2020-08-10 Ruisheng Qi , Xiaojie Wang

Novel techniques based on signal-conditioning are presented to mitigate timing errors in time-interleaved ADCs. A theoretical bound on the achievable spurious signal content, on applying the techniques, is also derived. Behavioral…

Information Theory · Computer Science 2012-04-05 Abhishek Ghosh , Sudhakar Pamarti

This paper shows how the input offset of sampling flip-flops in the Alexander phase detector affects the jitter transfer from data to the recovered clock in a clock data recovery circuit. The Alexander phase detector samples the data at…

Signal Processing · Electrical Eng. & Systems 2020-01-13 Naveen Kadayinti , Maryam Shojaei Baghini , Dinesh K. Sharma

We extend the mathematical model based on stochastic differential equations describing the error gained by an atomic clock to the cases of anomalous behavior including jumps and an increase of instability. We prove an exact iterative…

Probability · Mathematics 2015-06-04 Cristina Zucca , Patrizia Tavella

This paper addresses the problem of designing an anti-windup like compensator for discrete-time linear control systems with quantized input. The proposed compensator provides a correction signal proportional to the quantization error that…

Optimization and Control · Mathematics 2022-06-24 Samer AlSamadi , Francesco Ferrante , Sophie Tarbouriech

Conventional analog-to-digital converters (ADCs) clip when signals exceed their input range. Modulo (unlimited) sampling overcomes this limitation by folding the signal before digitization, but existing recovery methods are either…

Signal Processing · Electrical Eng. & Systems 2025-09-17 Wenyi Yan , Zeyuan Li , Lu Gan , Honqing Liu , Guoquan Li