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The Compute-and-Forward protocol in quasi-static channels normally employs lattice codes based on the rational integers $\mathbb{Z}$, Gaussian integers $\mathbb{Z}\left[i\right]$ or Eisenstein integers $\mathbb{Z}\left[\omega\right]$, while…

Information Theory · Computer Science 2019-05-13 Shanxiang Lyu , Antonio Campello , Cong Ling

The compute-and-forward framework permits each receiver in a Gaussian network to directly decode a linear combination of the transmitted messages. The resulting linear combinations can then be employed as an end-to-end communication…

Information Theory · Computer Science 2016-11-17 Bobak Nazer , Viveck Cadambe , Vasilis Ntranos , Giuseppe Caire

This paper investigates the linear precoder design that maximizes the average mutual information of multiple-input multiple-output channels with finite-alphabet inputs and statistical channel state information known at the transmitter. This…

Information Theory · Computer Science 2011-09-07 Weiliang Zeng , Chengshan Xiao , Mingxi Wang , Jianhua Lu

In a recent work, Nazer and Gastpar proposed the Compute-and-Forward strategy as a physical-layer network coding scheme. They described a code structure based on nested lattices whose algebraic structure makes the scheme reliable and…

Information Theory · Computer Science 2011-07-04 Ali Osmane , Jean-Claude Belfiore

In this paper, we consider the packet-level forward error correction (FEC) code design, without feedback or with delayed feedback, for achieving the minimum end-to-end latency, i.e., the latency between the time when packet is generated at…

Information Theory · Computer Science 2020-01-08 Xiaoli Xu , Yong Zeng , Yonghui Li , Branka Vucetic

A centralized coordinated multipoint downlink joint transmission in a frequency division duplex system requires channel state information (CSI) to be fed back from the cell-edge users to their serving BS, and aggregated at the central…

Information Theory · Computer Science 2015-03-27 T. R. Lakshmana , A. Tölli , R. Devassy , T. Svensson

Compute and Forward (CF) is a promising relaying scheme which, instead of decoding single messages or forwarding/amplifying information at the relay, decodes linear combinations of the simultaneously transmitted messages. The current…

Information Theory · Computer Science 2017-05-23 Ori Shmuel , Asaf Cohen , Omer Gurewitz

In this letter, the problem of implementing compute and forward (CF) is addressed. We present a practical signal model to implement CF which is built on the basis of Gaussian integer lattice partitions. We provide practical decoding…

Information Theory · Computer Science 2012-12-14 Smrati Gupta , M. A. Vázquez-Castro

Phase-coded imaging is a computational imaging method designed to tackle tasks such as passive depth estimation and extended depth of field (EDOF) using depth cues inserted during image capture. Most of the current deep learning-based…

Image and Video Processing · Electrical Eng. & Systems 2025-03-11 Nimrod Shabtay , Eli Schwartz , Raja Giryes

Next generation wireless communications rely on multiple input multiple output (MIMO) techniques to achieve high data rates. Feedback of channel information can be used in MIMO precoding to fully activate the strongest channel modes and…

Information Theory · Computer Science 2010-08-19 C. Jiang , M. Wang , C. Yang

We introduce deep joint source-channel coding (DeepJSCC) schemes for image transmission over cooperative relay channels. The relay either amplifies-and-forwards its received signal, called DeepJSCC-AF, or leverages neural networks to…

Signal Processing · Electrical Eng. & Systems 2024-11-11 Chenghong Bian , Yulin Shao , Haotian Wu , Emre Ozfatura , Deniz Gunduz

Consider a Compute and Forward (CF) relay network with $L$ users and a single relay. The relay tries to decode a linear function of the transmitted signals. For such a network, letting all $L$ users transmit simultaneously, especially when…

Information Theory · Computer Science 2018-11-07 Ori Shmuel , Asaf Cohen , Omer Gurewitz

Quantum Phase Estimation (QPE) stands as a pivotal quantum computing subroutine that necessitates an inverse Quantum Fourier Transform (QFT). However, it is imperative to recognize that enhancing the precision of the estimation inevitably…

Quantum Physics · Physics 2023-11-09 Chen-Yu Liu , Chu-Hsuan Abraham Lin , Kuan-Cheng Chen

We study a multihop "virtual" full-duplex relay channel as a special case of a general multiple multicast relay network. For such channel, quantize-map-and-forward (QMF) (or noisy network coding (NNC)) achieves the cut-set upper bound…

Information Theory · Computer Science 2015-04-24 Song-Nam Hong , Ivana Maric , Dennis Hui , Giuseppe Caire

Hybrid precoding is a cost-effective approach to support directional transmissions for millimeter-wave (mm-wave) communications, but its precoder design is highly complicated. In this paper, we propose a new hybrid precoder implementation,…

Signal Processing · Electrical Eng. & Systems 2019-05-28 Xianghao Yu , Jun Zhang , Khaled B. Letaief

In this paper, we develop an orthogonal precoding scheme for integer-forcing (IF) linear receivers using the steepest gradient algorithm. Although this scheme can be viewed as a special case of the unitary precoded integer-forcing (UPIF),…

Information Theory · Computer Science 2019-04-23 Mohammad Nur Hasan , Brian M. Kurkoski , Amin Sakzad , Emanuele Viterbo

The goal of combining beamforming and space-time coding in this work is to obtain full-diversity order and to provide additional received power (array gain) compared to conventional space-time codes. In our system, we consider a…

Information Theory · Computer Science 2008-04-23 Siavash Ekbatani , Hamid Jafarkhani

This work focuses on the half-duplex (HD) relaying based on the generalized quantize-and-forward (GQF) scheme in the slow fading Multiple Access Relay Channel (MARC) where the relay has no channel state information (CSI) of the…

Information Theory · Computer Science 2014-06-23 Ming Lei , Mohammad Reza Soleymani

In this paper, the problem of designing a linear precoder for Multiple-Input Multiple-Output (MIMO) systems in conjunction with Quadrature Amplitude Modulation (QAM) is addressed. First, a novel and efficient methodology to evaluate the…

Information Theory · Computer Science 2016-03-10 Thomas Ketseoglou , Ender Ayanoglu

Compress-forward (CF) relays can improve communication rates even when the relay cannot decode the source signal. Efficient implementation of CF is a topic of contemporary interest, in part because of its potential impact on wireless…

Information Theory · Computer Science 2023-01-10 Heping Wan , Anders Host-Madsen , Aria Nosratinia