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We consider Hermitian random band matrices $H=(h_{xy})$ on the $d$-dimensional lattice $(\mathbb Z/L\mathbb Z)^d$. The entries $h_{xy}$ are independent (up to Hermitian conditions) centered complex Gaussian random variables with variances…

概率论 · 数学 2021-07-15 Fan Yang , Horng-Tzer Yau , Jun Yin

Ultra-reliable low-latency communications (URLLC) demand high-performance error-correcting codes and decoders in the finite blocklength regime. This letter introduces a novel two-stage near-maximum likelihood (near-ML) decoding framework…

信号处理 · 电气工程与系统科学 2026-02-10 Yubeen Jo , Geon Choi , Yongjune Kim , Namyoon Lee

A single input multiple output (SIMO) multiple access channel, with a large number of transmitters sending symbols from a constellation to the receiver of a multi-antenna base station, is considered. The fundamental limits of joint decoding…

信息论 · 计算机科学 2014-04-10 Mainak Chowdhury , Andrea Goldsmith

We focus on a particular form of network coding, reverse carpooling, in a wireless network where the potentially coded transmitted messages are to be decoded immediately upon reception. The network is fixed and known, and the system…

网络与互联网体系结构 · 计算机科学 2010-01-20 Ali ParandehGheibi , Asuman Ozdaglar , Michelle Effros , Muriel Medard

In this paper, we propose a Riemannian steepest descent method for solving a blind deconvolution problem. We prove that the proposed algorithm with an appropriate initialization will recover the exact solution with high probability when the…

信息论 · 计算机科学 2018-04-17 Wen Huang , Paul Hand

Soft demodulation is a basic module of traditional communication receivers. It converts received symbols into soft bits, that is, log likelihood ratios (LLRs). However, in the nonideal additive white Gaussian noise (AWGN) channel, it is…

信号处理 · 电气工程与系统科学 2020-11-24 Shilian Zheng , Xiaoyu Zhou , Shichuan Chen , Peihan Qi , Xiaoniu Yang

Low complexity error correction code is a key enabler for next generation ultra-reliable low-latency communications (xURLLC) in six generation (6G). Against this background, this paper proposes a decoding scheme for linear block code by…

信号处理 · 电气工程与系统科学 2025-12-11 Di Zhang , Yinglei Yang , Zilong Liu , Shaobo Jia , Kyungchun Lee , Zhirong Zhang

Richardson-Lucy deconvolution is widely used to restore images from degradation caused by the broadening effects of a point spread function and corruption by photon shot noise, in order to recover an underlying object. In practice, this is…

计算机视觉与模式识别 · 计算机科学 2024-11-05 Zachary H. Hendrix , Peter T. Brown , Tim Flanagan , Douglas P. Shepherd , Ayush Saurabh , Steve Pressé

Random linear network coding (RLNC) provides a powerful framework for non-coherent communication, where reliable transmission requires correcting errors and erasures induced by network mixing and motivates the use of subspace codes. In this…

组合数学 · 数学 2026-03-24 David Ramirez , Elvis Cabrera , Jyrko Correa-Morris

Multipath propagation is a common phenomenon in wireless communication. Knowledge of propagation path parameters such as complex channel gain, propagation delay or angle-of-arrival provides valuable information on the user position and…

信息论 · 计算机科学 2016-03-18 Christian Steffens , Yang Yang , Marius Pesavento

We study the problem of recovering a signal $x\in\mathbb{C}^N$ from samples of its phaseless periodic short-time Fourier transform (STFT): the magnitude of the Fourier transform of the signal multiplied by a sliding window $w\in…

信息论 · 计算机科学 2022-09-23 Tamir Bendory , Chi-yu Cheng , Dan Edidin

We adress the problem of spherical deconvolution in a non parametric statistical framework, where both the signal and the operator kernel are subject to error measurements. After a preliminary treatment of the kernel, we apply a…

统计理论 · 数学 2013-01-16 Thomas Vareschi

In an unreliable single-hop broadcast network setting, we investigate the throughput and decoding-delay performance of random linear network coding as a function of the coding window size and the network size. Our model consists of a source…

信息论 · 计算机科学 2015-03-17 B. T. Swapna , Atilla Eryilmaz , Ness B. Shroff

As wireless networks transition toward 6G, high mobility, clustered scattering, and hardware impairments increasingly challenge classical assumptions on channel sparsity, resolvability, and stationarity. In these regimes, performance…

信号处理 · 电气工程与系统科学 2026-05-05 Hamza Haif , Abdelali Arous , Huseyin Arslan

Space-time coding techniques have become common-place in wireless communication standards as they provide an effective way to mitigate the fading phenomena inherent in wireless channels. However, the use of Space-Time Block Codes (STBCs)…

信息论 · 计算机科学 2016-11-17 Amr Ismail , Jocelyn Fiorina , Hikmet Sari

We present the Latent Sequence Decompositions (LSD) framework. LSD decomposes sequences with variable lengthed output units as a function of both the input sequence and the output sequence. We present a training algorithm which samples…

机器学习 · 统计学 2017-02-08 William Chan , Yu Zhang , Quoc Le , Navdeep Jaitly

This is the second part of a series of papers on a revisit to the bidirectional Bahl-Cocke-Jelinek-Raviv (BCJR) soft-in-soft-out (SISO) maximum a posteriori probability (MAP) decoding algorithm. Part I revisited the BCJR MAP decoding…

信息论 · 计算机科学 2018-01-16 Qimin You , Yonghui Li , Soung Chang Liew , Branka Vucetic

Compressed Sensing suggests that the required number of samples for reconstructing a signal can be greatly reduced if it is sparse in a known discrete basis, yet many real-world signals are sparse in a continuous dictionary. One example is…

信息论 · 计算机科学 2015-07-24 Yuanxin Li , Yuejie Chi

Least squares deconvolution (LSD) is a powerful method of extracting high-precision average line profiles from the stellar intensity and polarization spectra. Despite its common usage, the LSD method is poorly documented and has never been…

太阳与恒星天体物理 · 物理学 2015-05-19 O. Kochukhov , V. Makaganiuk , N. Piskunov

We investigate the reconstruction of multivariate functions from samples using sparse recovery techniques. For Square Root Lasso, Orthogonal Matching Pursuit, and Compressive Sampling Matching Pursuit, we demonstrate both theoretically and…

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