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Singular Value Decomposition (SVD) is a powerful tool for multivariate analysis. However, independent computation of the SVD for each sample taken from a bandlimited matrix random process will result in singular value sample paths whose…

统计理论 · 数学 2007-06-13 D. W. Browne , M. W. Browne , M. P. Fitz

It is well known that the "fixed spectrum" {i.e., the set of fixed modes} of a multi-channel linear system plays a central role in the stabilization of such a system with decentralized control. A parameterized multi-channel linear system is…

信号处理 · 电气工程与系统科学 2022-06-24 Fengjiao Liu , A. Stephen Morse

Markov Chain Monte Carlo (MCMC) methods are employed to sample from a given distribution of interest, whenever either the distribution does not exist in closed form, or, if it does, no efficient method to simulate an independent sample from…

统计计算 · 统计学 2008-07-22 Ioana A. Cosma , Masoud Asgharian

Since a quantum measurement generally disturbs the state of a quantum system, one might think that it should not be possible for a sender and receiver to communicate reliably when the receiver performs a large number of sequential…

量子物理 · 物理学 2013-07-12 Mark M. Wilde

Degradable quantum channels are an important class of completely positive trace-preserving maps. Among other properties, they offer a single-letter formula for the quantum and the private classical capacity and are characterized by the fact…

量子物理 · 物理学 2017-11-23 David Sutter , Volkher B. Scholz , Andreas Winter , Renato Renner

Quantum process tomography, the standard procedure to characterize any quantum channel in nature, is affected by a circular argument: in order to characterize the channel, the tomographic preparation and measurement need in turn to be…

量子物理 · 物理学 2016-06-13 Michele Dall'Arno , Sarah Brandsen , Francesco Buscemi

Consider two remote nodes (encoder and decoder), each with a binary sequence. The encoder's sequence $X$ differs from the decoder's sequence $Y$ by a small number of edits (deletions and insertions). The goal is to construct a message $M$,…

信息论 · 计算机科学 2020-10-28 Mahed Abroshan , Ramji Venkataramanan , Albert Guillen i Fabregas

We study the percolative properties of bi-dimensional systems generated by a random sequential adsorption of line-segments on a square lattice. As the segment length grows, the percolation threshold decreases, goes through a minimum and…

凝聚态物理 · 物理学 2009-10-22 Y. Leroyer , E. Pommiers

This paper considers a vector Gaussian channel of fixed identity covariance matrix and binary input signalling as the mean of it. A linear transformation is performed on the vector input signal. The objective is to find the optimal scaling…

信息论 · 计算机科学 2024-12-06 Muhammad Fahad , Daniel R. Fuhrmann

We establish area theorems for iterative detection over coded linear systems (including multiple-input multipleoutput (MIMO) channels, inter-symbol-interference (ISI) channels, and orthogonal frequency-division multiplexing (OFDM) systems).…

信息论 · 计算机科学 2012-08-24 Xiaojun Yuan , Li Ping , Chongbin Xu , Aleksandar Kavcic

The conventional theory of linear network coding (LNC) is only over acyclic networks. Convolutional network coding (CNC) applies to all networks. It is also a form of LNC, but the linearity is w.r.t. the ring of rational power series rather…

信息论 · 计算机科学 2016-09-26 Qifu Tyler Sun , Shuo-Yen Robert Li

The paper analyzes the behavior of quantum channels, particularly in large dimensions, by proving various properties of the quantum gate fidelity. Many of these properties are of independent interest in the theory of distance measures on…

量子物理 · 物理学 2011-07-12 Easwar Magesan

We consider transmitting a source across a pair of independent, non-ergodic channels with random states (e.g., slow fading channels) so as to minimize the average distortion. The general problem is unsolved. Hence, we focus on comparing two…

信息论 · 计算机科学 2009-09-29 J. Nicholas Laneman , Emin Martinian , Gregory W. Wornell , John G. Apostolopoulos

This paper develops a linear minimum mean-square error (LMMSE) channel estimator for single and multicarrier systems that takes advantage of the mutual coupling in antenna arrays. We model the mutual coupling through multiport networks and…

信息论 · 计算机科学 2023-04-18 Bamelak Tadele , Volodymyr Shyianov , Faouzi Bellili , Amine Mezghani

MIMO technology is one of the most significant advances in the past decade to increase channel capacity and has a great potential to improve network capacity for mesh networks. In a MIMO-based mesh network, the links outgoing from each node…

信息论 · 计算机科学 2007-07-13 Jia Liu , Y. Thomas Hou

Fifth generation (5G) cellular standards are set to utilize millimeter wave (mmWave) frequencies, which enable data speeds greater than 10 Gbps and sub-centimeter localization accuracy. These capabilities rely on accurate estimates of the…

信号处理 · 电气工程与系统科学 2018-10-22 Macey Ruble , Ismail Guvenc

We consider vector-quantized (VQ) transmission of compressed sensing (CS) measurements over noisy channels. Adopting mean-square error (MSE) criterion to measure the distortion between a sparse vector and its reconstruction, we derive…

信息论 · 计算机科学 2014-05-01 Amirpasha Shirazinia , Saikat Chatterjee , Mikael Skoglund

We obtain an explicit characterization of linear maps, in particular, quantum channels, which are covariant with respect to an irreducible representation ($U$) of a finite group ($G$), whenever $U \otimes U^c$ is simply reducible (with…

量子物理 · 物理学 2017-05-26 Marek Mozrzymas , Michał Studziński , Nilanjana Datta

Recently it has been demonstrated that the connectivity transition from microscopic connectivity to macroscopic connectedness, known as percolation, is generically announced by a cascade of microtransitions of the percolation order…

无序系统与神经网络 · 物理学 2016-01-25 Malte Schröder , Wei Chen , Jan Nagler

Rodrigo de Miguel et al 2007 J. Phys. A: Math. Theor. 40 5241-5260: A noisy vector channel operating under a strict complexity constraint at the receiver is introduced. According to this constraint, detected bits, obtained by performing…

信息论 · 计算机科学 2009-11-11 Rodrigo de Miguel , Ori Shental , Ralf R. Muller , Ido Kanter