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Mini-batch SGD with momentum is a fundamental algorithm for learning large predictive models. In this paper we develop a new analytic framework to analyze noise-averaged properties of mini-batch SGD for linear models at constant learning…

机器学习 · 计算机科学 2023-03-10 Maksim Velikanov , Denis Kuznedelev , Dmitry Yarotsky

Consider a waveform channel where the transmitted signal is corrupted by Wiener phase noise and additive white Gaussian noise (AWGN). A discrete-time channel model that takes into account the effect of filtering on the phase noise is…

信息论 · 计算机科学 2013-01-30 Hassan Ghozlan , Gerhard Kramer

Signal-to-noise ratios (SNR) play a crucial role in various statistical models, with important applications in tasks such as estimating heritability in genomics. The method-of-moments estimator is a widely used approach for estimating SNR,…

统计理论 · 数学 2025-06-13 Xiaohan Hu , Zhentao Li , Xiaodong Li

The generalized degrees of freedom (GDoF) region of the MIMO Gaussian interference channel is obtained for the general case with an arbitrary number of antennas at each node and where the SNR and interference-to-noise ratios (INRs) vary…

信息论 · 计算机科学 2011-03-10 Sanjay Karmakar , Mahesh K. Varanasi

The generalized degrees of freedom (GDoF) region of the MIMO Gaussian interference channel (IC) is obtained for the general case of an arbitrary number of antennas at each node and where the signal-to-noise ratios (SNR) and…

信息论 · 计算机科学 2011-03-15 Sanjay Karmakar , Mahesh K. Varanasi

In this paper, we investigate the performance of cooperative spectrum sensing (CSS) with multiple antenna nodes over composite and generalized fading channels. We model the probability density function (PDF) of the signal-to-noise ratio…

The information that can be transmitted through a wireless channel, with multiple-antenna equipped transmitter and receiver, is crucially influenced by the channel behavior as well as by the structure of the input signal. We characterize in…

信息论 · 计算机科学 2014-10-22 Giuseppa Alfano , Carla-Fabiana Chiasserini , Alessandro Nordio , Siyuan Zhou

In this paper we establish a general first-order statistical framework for the detection of a common signal impinging on spatially distributed receivers. We consider three types of channel models: 1) the propagation channel is completely…

信号处理 · 电气工程与系统科学 2023-02-15 Todd McWhorter , Louis Scharf , Margaret Cheney

In this letter, the performance of multiuser-radio frequency/free space optics (RF/FSO) two-way relay network in the presence of interference is investigated. The FSO link accounts for pointing errors and both types of detection techniques,…

信号处理 · 电气工程与系统科学 2019-05-09 Abhijeet Upadhya , Vivek K. Dwivedi , Mohamed-Slim Alouini

Generalized mutual information (GMI) is used to compute achievable rates for fading channels with various types of channel state information at the transmitter (CSIT) and receiver (CSIR). The GMI is based on variations of auxiliary channel…

信息论 · 计算机科学 2023-05-23 Gerhard Kramer

We introduce the fdRLoS fading model as a natural generalization of the double-Rayleigh with line-of-sight fading model, on which the constant-amplitude line-of-sight component is now allowed to randomly fluctuate. We discuss the key…

This paper presents exact formulas for the probability distribution function (PDF) and moment generating function (MGF) of the sum-product of statistically independent but not necessarily identically distributed (i.n.i.d.) Nakagami-$m$…

信息论 · 计算机科学 2024-05-28 Hamid Amiriara , Mahtab Mirmohseni , Farid Ashtiani , Masoumeh Nasiri-Kenari

The spectral form factor (SFF) plays a crucial role in revealing the statistical properties of energy level distributions in complex systems. It is one of the tools to diagnose quantum chaos and unravel the universal dynamics therein. The…

统计力学 · 物理学 2024-01-17 Zhiyang Wei , Chengming Tan , Ren Zhang

Throughput optimization of optical communication systems is a key challenge for current optical networks. The use of gain-flattening filters (GFFs) simplifies the problem at the cost of insertion loss, higher power consumption and…

机器学习 · 计算机科学 2021-10-01 Metodi Plamenov Yankov , Pawel Marcin Kaminski , Henrik Enggaard Hansen , Francesco Da Ros

An accurate, closed-form expression evaluating the nonlinear interference (NLI) power in coherent optical transmission systems in the presence of inter-channel stimulated Raman scattering (ISRS) is derived. The analytical result enables a…

信号处理 · 电气工程与系统科学 2019-05-22 Daniel Semrau , Robert I. Killey , Polina Bayvel

This paper investigates the second-order statistics of multipath fading channels with von Mises-Fisher (vMF) distributed scatters. Simple closed-form expressions for the mean Doppler shift and Doppler spread are derived as the key spectral…

信号处理 · 电气工程与系统科学 2025-11-11 Kenan Turbic , Slawomir Stanczak

This letter establishes a unified analytical framework to study the asymptotic average mutual information (AMI) of mixture gamma (MG) distributed fading channels driven by finite input signals in the high signal-to-noise ratio (SNR) regime.…

信息论 · 计算机科学 2021-11-29 Chongjun Ouyang , Sheng Wu , Chunxiao Jiang , Yuanwei Liu , Julian Cheng , Hongwen Yang

We introduce and characterize the Multi-cluster Two-Wave (MTW) fading model, which generalizes \textit{both} the Durgin's Two-Wave with Diffuse Power (TWDP) and the $\kappa$-$\mu$ models under a common umbrella. The MTW model consists of an…

信息论 · 计算机科学 2024-10-28 Maryam Olyaee , Juan P. Pena-Martin , F. J. Lopez-Martinez , Juan M. Romero-Jerez

A fading broadcast channel is considered where the transmitter employs two antennas and each of the two receivers employs a single receive antenna. It is demonstrated that even if the realization of the fading is precisely known to the…

信息论 · 计算机科学 2007-07-13 Amos Lapidoth , Shlomo Shamai , Michele Wigger

The recent advancements in autonomous and remote operation of maritime vessels necessitates the development of robust and reliable communication systems to support high-bandwidth applications such as real-time monitoring, navigation, and…

系统与控制 · 电气工程与系统科学 2025-11-12 Antoine Thibault Vié , Roberto Galeazzi , Dimitrios Papagergiou