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In this paper, the Gaussian relay channel with linear time-invariant relay filtering is considered. Based on spectral theory for stationary processes, the maximum achievable rate for this subclass of linear Gaussian relay operation is…

Information Theory · Computer Science 2011-09-27 Youngchul Sung , Cheulsoon Kim

A complete framework for the linear time-invariant (LTI) filtering theory of bivariate signals is proposed based on a tailored quaternion Fourier transform. This framework features a direct description of LTI filters in terms of their…

Signal Processing · Electrical Eng. & Systems 2018-08-29 Julien Flamant , Pierre Chainais , Nicolas Le Bihan

The problem of joint source-channel coding is considered for a stationary remote (noisy) Gaussian source and a Gaussian channel. The encoder and decoder are assumed to be causal and their combined operations are subject to a delay…

Information Theory · Computer Science 2012-03-29 Erik Johannesson , Anders Rantzer , Bo Bernhardsson , Andrey Ghulchak

The identification of Linear Time-Varying (LTV) systems from input-output data is a fundamental yet challenging ill-posed inverse problem. This work introduces a unified Bayesian framework that models the system's impulse response, $h(t,…

Machine Learning · Statistics 2026-04-01 Yaniv Shulman

This paper presents a novel approach for the identification of linear time-periodic (LTP) systems in continuous time. This method is based on harmonic modeling and consists in converting any LTP system into an equivalent LTI system with…

Systems and Control · Electrical Eng. & Systems 2024-04-18 Flora Vernerey , Pierre Riedinger , Andrea Iannelli , Jamal Daafouz

Lossy transmission over a relay channel in which the relay has access to correlated side information is considered. First, a joint source-channel decode-and-forward scheme is proposed for general discrete memoryless sources and channels.…

Information Theory · Computer Science 2016-11-17 Deniz Gunduz , Elza Erkip , Andrea J. Goldsmith , H. Vincent Poor

In this paper, we investigate a fluid antenna relay (FAR)-assisted communication system with hybrid relaying scheme selection. By leveraging statistical channel state information (CSI) and distribution characteristics of fluid antenna…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Ruopeng Xu , Songling Zhang , Zhaohui Yang , Mingzhe Chen , Zhaoyang Zhang , Kai-Kit Wong

The problem of remotely stabilizing a noisy linear time invariant plant over a Gaussian relay network is addressed. The network is comprised of a sensor node, a group of relay nodes and a remote controller. The sensor and the relay nodes…

Optimization and Control · Mathematics 2013-07-30 Ali A. Zaidi , Tobias J. Oechtering , Serdar Yuksel , Mikael Skoglund

For single-antenna Gaussian interference channels, we re-formulate the problem of determining the Generalized Degrees of Freedom (GDoF) region achievable by treating interference as Gaussian noise (TIN) derived in [3] from a combinatorial…

Information Theory · Computer Science 2015-09-17 Xinping Yi , Giuseppe Caire

This paper considers the problem of distributed estimation in a sensor network, where multiple sensors are deployed to infer the state of a linear time-invariant (LTI) Gaussian system. By proposing a lossless decomposition of Kalman filter,…

Systems and Control · Electrical Eng. & Systems 2022-04-19 Jiaqi Yan , Yilin Mo , Hideaki Ishii

A fundamental problem in wireless communication is the time-frequency shift (TFS) problem: Find the time-frequency shift of a signal in a noisy environment. The shift is the result of time asynchronization of a sender with a receiver, and…

Information Theory · Computer Science 2011-12-22 Alexander Fish , Shamgar Gurevich , Ronny Hadani , Akbar Sayeed , Oded Schwartz

Being a powerful tool for linear time-invariant (LTI) systems, system response analysis can also be applied to the so-called linear space-invariant (LSI) but time-varying systems, which is a dual of the conventional LTI problems. In this…

Optics · Physics 2022-08-10 Wending Mai , Jingwei Xu , Arkaprovo Das , Douglas H. Werner

Schein and Gallager introduced the Gaussian parallel relay channel in 2000. They proposed the Amplify-and-Forward (AF) and the Decode-and-Forward (DF) strategies for this channel. For a long time, the best known achievable rate for this…

Information Theory · Computer Science 2009-02-11 Seyed Saeed , Changiz Rezaei , Shahab Oveis Gharan , Amir K. Khandani

An achievable rate region, based on lattice interference alignment, is derived for a class of time-invariant Gaussian interference channels with more than two users. The result is established via a new coding theorem for the two-user…

Information Theory · Computer Science 2011-06-21 Or Ordentlich , Uri Erez

This paper studies the distributed state estimation in sensor network, where $m$ sensors are deployed to infer the $n$-dimensional state of a linear time-invariant (LTI) Gaussian system. By a lossless decomposition of optimal steady-state…

Systems and Control · Electrical Eng. & Systems 2022-04-22 Jiaqi Yan , Xu Yang , Yilin Mo , Keyou You

Delay constrained linear transmission (LT) strategies are considered for the transmission of composite Gaussian measurements over an additive white Gaussian noise fading channel under an average power constraint. If the channel state…

Information Theory · Computer Science 2016-11-15 Onur Tan , Deniz Gunduz , Jesus Gomez Vilardebo

This paper considers the input-erasure Gaussian channel. In contrast to the output-erasure channel where erasures are applied to the output of a linear time-invariant (LTI) system, here erasures, known to the receiver, are applied to the…

Information Theory · Computer Science 2009-06-23 O. Somekh , O. Simeone , H. V. Poor , S. Shamai

In this paper, we study the interference relay-without-delay channel which is an interference channel with a relay helping the communication. We assume the relay's transmit symbol depends not only on its past received symbols but also on…

Information Theory · Computer Science 2011-08-16 Hyunseok Chang , Sae-Young Chung

A new approach to distributed cooperative beamforming in relay networks with frequency selective fading is proposed. It is assumed that all the relay nodes are equipped with finite impulse response (FIR) filters and use a filter-and-forward…

Adaptation and Self-Organizing Systems · Physics 2016-11-15 Haihua Chen , Alex B. Gershman , Shahram Shahbazpanahi

We consider a Gaussian multiple-access channel (MAC) with an amplify-and-forward (AF) relay, where all nodes except the receiver have multiple antennas and the direct links between transmitters and receivers are neglected. Thus, spatial…

Information Theory · Computer Science 2015-03-20 Frederic Knabe , Omar Mohamed , Carolin Huppert
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