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We present a simple nonlinear digital pre-distortion (DPD) of optical transmitter components, which consists of concatenated blocks of a finite impulse response (FIR) filter, a memoryless nonlinear function and another FIR filter. The model…

Signal Processing · Electrical Eng. & Systems 2020-12-16 Takeo Sasai , Masanori Nakamura , Etsushi Yamazaki , Asuka Matsushita , Seiji Okamoto , Kengo Horikoshi , Yoshiaki Kisaka

In this paper, we test the performance of some modern stochastic optimization methods and practices in application to digital pre-distortion problem, that is a valuable part of processing signal on base stations providing wireless…

Optimization and Control · Mathematics 2022-01-31 A. V. Alpatov , E. A. Peters , D. A. Pasechnyuk , A. M. Raigorodskii

Orthogonal delay-Doppler (DD) division multiplexing (ODDM) modulation has recently emerged as a promising paradigm for ensuring reliable communications in doubly-selective channels. This work investigates the spectra and orthogonality…

Signal Processing · Electrical Eng. & Systems 2025-11-20 Akram Shafie , Jun Tong , Jinhong Yuan , Taka Sakurai , Paul Fitzpatrick , Yuting Fang , Yixuan Xie

In this survey, we analyze the newest machine learning (ML) techniques for optical orthogonal frequency division multiplexing (O-OFDM)-based optical communications. ML has been proposed to mitigate channel and transceiver imperfections. For…

Machine Learning · Computer Science 2021-05-10 Hichem Mrabet , Elias Giaccoumidis , Iyad Dayoub

Orthogonal Frequency Division Multiplexing (OFDM) is the dominant waveform in modern wireless systems, but suffers performance degradation in high-mobility environments due to Doppler-induced inter-carrier interference and unreliable…

Information Theory · Computer Science 2026-04-17 S. Ashwin Hebbar , Sravan Kumar Ankireddy , Harshithanjani Athi , Brandon Nguyen , Pramod Viswanath , Hyeji Kim

The dynamic mode decomposition (DMD) has become a leading tool for data-driven modeling of dynamical systems, providing a regression framework for fitting linear dynamical models to time-series measurement data. We present a simple…

Numerical Analysis · Mathematics 2017-04-11 Travis Askham , J. Nathan Kutz

We study dual-based algorithms for distributed convex optimization problems over networks, where the objective is to minimize a sum $\sum_{i=1}^{m}f_i(z)$ of functions over in a network. We provide complexity bounds for four different…

Optimization and Control · Mathematics 2020-03-17 César A. Uribe , Soomin Lee , Alexander Gasnikov , Angelia Nedić

In order to support diverse scenarios and deployments, the numerology of orthogonal frequency division multiplexing (OFDM) is defined for the parametrization of subcarrier spacing and cyclic prefix (CP). The time-frequency dispersion of…

Signal Processing · Electrical Eng. & Systems 2020-11-10 Xiaoran Liu , Jiao Zhang , Jibo Wei

This paper develops and analyzes an online distributed proximal-gradient method (DPGM) for time-varying composite convex optimization problems. Each node of the network features a local cost that includes a smooth strongly convex function…

Optimization and Control · Mathematics 2024-05-07 Nicola Bastianello , Emiliano Dall'Anese

Digital predistortion (DPD) is a method commonly used to compensate for the nonlinear effects of power amplifiers (PAs). However, the computational complexity of most DPD algorithms becomes an issue in the downlink of massive multi-user…

Signal Processing · Electrical Eng. & Systems 2022-05-12 Yibo Wu , Ulf Gustavsson , Mikko Valkama , Alexandre Graell i Amat , Henk Wymeersch

Digital Predistortion (DPD) is a popular technique to enhance signal quality in wideband RF power amplifiers (PAs). With increasing bandwidth and data rates, DPD faces significant energy consumption challenges during deployment, contrasting…

Signal Processing · Electrical Eng. & Systems 2025-08-26 Yizhuo Wu , Yi Zhu , Kun Qian , Qinyu Chen , Anding Zhu , John Gajadharsing , Leo C. N. de Vreede , Chang Gao

Non-convex optimization is a critical tool in advancing machine learning, especially for complex models like deep neural networks and support vector machines. Despite challenges such as multiple local minima and saddle points, non-convex…

Machine Learning · Computer Science 2024-10-04 Greg B Fotopoulos , Paul Popovich , Nicholas Hall Papadopoulos

In this work, we consider the distributed optimization of non-smooth convex functions using a network of computing units. We investigate this problem under two regularity assumptions: (1) the Lipschitz continuity of the global objective…

Optimization and Control · Mathematics 2018-06-04 Kevin Scaman , Francis Bach , Sébastien Bubeck , Yin Tat Lee , Laurent Massoulié

A novel method for correcting the effect of nonlinear distortion in orthogonal frequency division multiplexing signals is proposed. The method depends on adaptively selecting the distortion over a subset of the data carriers, and then using…

Information Theory · Computer Science 2015-07-01 Ebrahim B. Al-Safadi , Tareq Y. Al-Naffouri , Mudassir Masood , Anum Ali

These notes focus on the minimization of convex functionals using first-order optimization methods, which are fundamental in many areas of applied mathematics and engineering. The primary goal of this document is to introduce and analyze…

Optimization and Control · Mathematics 2024-10-28 Charles Dossal , Samuel Hurault , Nicolas Papadakis

The computation of Wasserstein gradient direction is essential for posterior sampling problems and scientific computing. The approximation of the Wasserstein gradient with finite samples requires solving a variational problem. We study the…

Machine Learning · Computer Science 2022-05-27 Yifei Wang , Peng Chen , Mert Pilanci , Wuchen Li

The performance analysis of a novel optical modulation scheme is presented in this paper. The basic concept is to transmit signs of modulated optical orthogonal frequency division multiplexing (O-OFDM) symbols and absolute values of the…

Information Theory · Computer Science 2019-05-16 Yichen Li , Dobroslav Tsonev , Harald Haas

In this paper we consider the problem of distributed nonlinear optimisation of a separable convex cost function over a graph subject to cone constraints. We show how to generalise, using convex analysis, monotone operator theory and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-16 Richard Heusdens , Guoqiang Zhang

In Part I of this paper, we proposed and analyzed a novel algorithmic framework for the minimization of a nonconvex (smooth) objective function, subject to nonconvex constraints, based on inner convex approximations. This Part II is devoted…

Information Theory · Computer Science 2017-04-05 Gesualdo Scutari , Francisco Facchinei , Lorenzo Lampariello , Peiran Song , Stefania Sardellitti

Dynamic Mode Decomposition (DMD) has received increasing research attention due to its capability to analyze and model complex dynamical systems. However, it faces challenges in computational efficiency, noise sensitivity, and difficulty…

Machine Learning · Computer Science 2025-02-20 Biqi Chen , Ying Wang
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