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In this paper, we newly present a closed-form bit-error rate (BER) expression for an $M$-ary pulse-amplitude modulation ($M$-PAM) over additive white Gaussian noise (AWGN) channels by analytically characterizing the bit decision regions and…

Information Theory · Computer Science 2021-01-05 Thanh V. Pham , Thang V. Nguyen , Anh T. Pham

Many convex optimization problems with important applications in machine learning are formulated as empirical risk minimization (ERM). There are several examples: linear and logistic regression, LASSO, kernel regression, quantile…

Machine Learning · Computer Science 2023-05-30 Song Bian , Zhao Song , Junze Yin

Orthogonal frequency-division multiplexing (OFDM) with subcarrier number modulation (OFDM-SNM) manifests its superior nature of high spectral efficiency (SE) and low complexity for signal estimation. To exploit the spatial gain of OFDM-SNM,…

Signal Processing · Electrical Eng. & Systems 2020-07-08 Shuping Dang , Jiusi Zhou , Basem Shihada , Mohamed-Slim Alouini

To broaden the application scenario and reduce energy consumption, we propose an energy-efficient fixed-gain (FG) amplify-and-forward (AF) relay assisted orthogonal frequency-division multiplexing with index modulation (OFDM-IM) scheme in…

Signal Processing · Electrical Eng. & Systems 2020-06-11 Jiusi Zhou , Shuping Dang , Basem Shihada , Mohamed-Slim Alouini

We present a generic approximation of the packet error rate (PER) function of uncoded schemes in the AWGN channel using extreme value theory (EVT). The PER function can assume both the exponential and the Gaussian Q-function bit error rate…

Information Theory · Computer Science 2016-10-19 Aamir Mahmood , Riku Jäntti

Probabilistic variants of Model Order Reduction (MOR) methods have recently emerged for improving stability and computational performance of classical approaches. In this paper, we propose a probabilistic Reduced Basis Method (RBM) for the…

Numerical Analysis · Mathematics 2023-12-06 Marie Billaud-Friess , Arthur Macherey , Anthony Nouy , Clémentine Prieur

For the Lagrange interpolation over a triangular domain, we propose an efficient algorithm to rigorously evaluate the interpolation error constant under the maximum norm by using the finite element method (FEM). In solving the optimization…

Numerical Analysis · Mathematics 2021-12-07 Shirley Mae Galindo , Koichiro Ike , Xuefeng Liu

High-mobility communications, which are crucial for next-generation wireless systems, cause the orthogonal frequency division multiplexing (OFDM) waveform to suffer from strong intercarrier interference (ICI) due to the Doppler effect. In…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Mauro Marchese , Musa Furkan Keskin , Henk Wymeersch , Pietro Savazzi

Self-similarity is widely considered the reference framework for modeling the scaling properties of real-world data. However, most theoretical studies and their practical use have remained univariate. Operator Fractional Brownian Motion…

Probability · Mathematics 2016-09-07 Jordan Frecon , Gustavo Didier , Nelly Pustelnik , Patrice Abry

Modern mobile communication receivers are often implemented with a direct-conversion architecture, which features a number of advantages over competing designs. A notable limitation of direct-conversion architectures, however, is their…

Signal Processing · Electrical Eng. & Systems 2026-03-17 Moritz Tockner , Oliver Lang , Andreas Meingassner-Lang , Mario Huemer

As a metric for amplitude fluctuation of orthogonal frequency division multiplexing (OFDM) signal, cubic metric (CM) has received an increasing attention because it is more closely related to the distortion induced by nonlinear devices than…

Information Theory · Computer Science 2016-01-20 Kee-Hoon Kim , Jong-Seon No , Dong-Joon Shin

Most of the recent power line communication (PLC) systems and standards, both narrow-band and broadband, are based on orthogonal frequency-division multiplexing (OFDM). This multiplexing scheme however suffers from the high peak-to-average…

Signal Processing · Electrical Eng. & Systems 2018-10-17 Bamidele Adebisi , Khaled M. Rabie , Augustine Ikpehai , Cinna Soltanpur , Andrew Wells

This paper explores the flexibility of generalized frequency division multiplexing (GFDM) for achieving the same performance as filter bank multicarrier (FBMC). We present a GFDM configuration where the good spectral containment of FBMC is…

Signal Processing · Electrical Eng. & Systems 2019-02-27 Ivo Bizon Franco de Almeida , Luciano Leonel Mendes

Affine frequency division multiplexing (AFDM), tailored as a novel multicarrier technique utilizing chirp signals for high-mobility communications, exhibits marked advantages compared to traditional orthogonal frequency division…

Information Theory · Computer Science 2024-02-26 Guangyao Liu , Tianqi Mao , Ruiqi Liu , Zhenyu Xiao

Convergence rates are established for an inexact accelerated alternating direction method of multipliers (I-ADMM) for general separable convex optimization with a linear constraint. Both ergodic and non-ergodic iterates are analyzed.…

Numerical Analysis · Mathematics 2021-07-20 William W. Hager , Hongchao Zhang

Using operator semigroup methods, we show that Fokker-Planck type second-order PDE-s can be used to approximate the evolution of the distribution of a one-step process on $N$ particles governed by a large system of ODEs. The error bound is…

Functional Analysis · Mathematics 2016-12-30 Dávid Kunszenti-Kovács

Quantum error mitigation (QEM) has been proposed as a class of hardware-friendly error suppression techniques. While QEM has been primarily studied for mitigating errors in the estimation of expectation values of observables, recent works…

Quantum Physics · Physics 2025-11-18 Rion Shimazu , Suguru Endo , Shigeo Hakkaku , Shinobu Saito

In this paper, we study how to efficiently and reliably detect active devices and estimate their channels in a multiple-input multiple-output (MIMO) orthogonal frequency-division multiplexing (OFDM) based grant-free non-orthogonal multiple…

Information Theory · Computer Science 2022-11-14 Wenjun Jiang , Mingyang Yue , Xiaojun Yuan , Yong Zuo

In this paper, we consider hybrid beamforming designs for multiuser massive multiple-input multiple-output (MIMO)-orthogonal frequency division multiplexing (OFDM) systems. Aiming at maximizing the weighted spectral efficiency, we propose…

Signal Processing · Electrical Eng. & Systems 2019-07-30 Jingbo Du , Wei Xu , Chunming Zhao , Luc Vandendorpe

Orthogonal frequency-division multiplexing (OFDM) is a promising waveform candidate for future joint sensing and communication systems. It is well known that the OFDM waveform is vulnerable to in-phase and quadrature-phase (IQ) imbalance,…

Signal Processing · Electrical Eng. & Systems 2023-11-17 Oliver Lang , Christian Hofbauer , Moritz Tockner , Reinhard Feger , Thomas Wagner , Mario Huemer
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