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Motivated by applications to group synchronization and quadratic assignment on random data, we study a general problem of Bayesian inference of an unknown ``signal'' belonging to a high-dimensional compact group, given noisy pairwise…

Statistics Theory · Mathematics 2025-12-23 Kaylee Y. Yang , Timothy L. H. Wee , Zhou Fan

This paper considers distributed average consensus using finite-bit bounded quantizer with possibly unbounded data. Under the framework of the alternating direction method of multipliers (ADMM), we develop distributed averaging algorithms…

Optimization and Control · Mathematics 2017-08-22 Shengyu Zhu , Biao Chen

There is a vast body of recent literature on the reliability of communication through noisy channels, the recovery of community structures in the stochastic block model, the limiting behavior of the free entropy in spin glasses and the…

Combinatorics · Mathematics 2022-07-25 Konstantinos Panagiotou , Matija Pasch

This paper studies the ergodic mutual information of hybrid selection/maximal-ratio combining (H-S/MRC) diversity system under BPSK/QPSK modulations. We consider a simple single-input multiple-output (SIMO) channel, where a subset of…

Signal Processing · Electrical Eng. & Systems 2019-06-20 Zeliang Ou , Chongjun Ouyang , Pei Yang , Lu Zhang , Hongwen Yang , Xin Zhang

In this paper, we study two important metrics in multiple-input multiple-output (MIMO) time-varying Rayleigh flat fading channels. One is the eigen-mode, and the other is the instantaneous mutual information (IMI). Their second-order…

Information Theory · Computer Science 2007-07-13 Shuangquan Wang , Ali Abdi

We investigate the constrained capacity of multiple-antenna fading coherent channels, where the receiver knows the channel state but the transmitter knows only the channel distribution, driven by arbitrary equiprobable discrete inputs in a…

Information Theory · Computer Science 2012-10-26 Miguel Rodrigues

The information rate of coupled space-division multiplexing (SDM) transmission systems is impaired by the stochastic effects of mode-dependent gain (MDG) and mode-dependent loss (MDL), turning it into a random variable and reducing its…

Signal Processing · Electrical Eng. & Systems 2025-05-27 Lucas Alves Zischler , Darli A. A. Mello

Multi-antenna relays and intelligent reflecting surfaces (IRSs) have been utilized to construct favorable channels to improve the performance of wireless systems. A common feature between relay systems and IRS-aided systems is the two-hop…

Information Theory · Computer Science 2024-02-07 Zeyan Zhuang , Xin Zhang , Dongfang Xu , Shenghui Song

In this paper, we derive new closed-form expressions for the gradient of the mutual information with respect to arbitrary parameters of the two-user multiple access channel (MAC). The derived relations generalize the fundamental relation…

Information Theory · Computer Science 2014-11-07 Samah A. M. Ghanem

Diversity-multiplexing tradeoff (DMT) presents a compact framework to compare various MIMO systems and channels in terms of the two main advantages they provide (i.e. high data rate and/or low error rate). This tradeoff was characterized…

Information Theory · Computer Science 2016-11-15 Sergey Loyka , George Levin

This paper derives the asymptotic distribution of the normalized $k$-th maximum order statistics of a sequence of non-central chi-square random variables with non-identical non-centrality parameter. We demonstrate the utility of these…

Information Theory · Computer Science 2022-01-26 Athira Subhash , Sheetal Kalyani , Yazan H. Al-Badarneh , Mohamed-Slim Alouini

We consider the problem of finding optimal, fair and distributed power-rate strategies to achieve the sum capacity of the Gaussian multiple-access block-fading channel. In here, the transmitters have access to only their own fading…

Information Theory · Computer Science 2012-08-24 Sibi Raj B. Pillai , Bikash K. Dey , Yash Deshpande , Krishnamoorthy Iyer

In this paper, the second-order statistics of the instantaneous mutual information are studied, in time-varying Rayleigh fading channels, assuming general non-isotropic scattering environments. Specifically, first the autocorrelation…

Information Theory · Computer Science 2007-07-13 Shuangquan Wang , Ali Abdi

In this chapter, using statistical physics methods, asymptotic closed-form expressions for the mean and variance of the mutual information for a multi-antenna transmitter-receiver pair in the presence of multiple Reconfigurable Intelligent…

Information Theory · Computer Science 2025-07-23 Aris L. Moustakas , George C. Alexandropoulos

As shown by M\'edard, the capacity of fading channels with imperfect channel-state information (CSI) can be lower-bounded by assuming a Gaussian channel input $X$ with power $P$ and by upper-bounding the conditional entropy $h(X|Y,\hat{H})$…

Information Theory · Computer Science 2016-11-15 Adriano Pastore , Tobias Koch , Javier Rodríguez Fonollosa

This paper investigates the maximum coding rate at which data can be transmitted over a noncoherent, multiple-input, multiple-output (MIMO) Rayleigh block-fading channel using an error-correcting code of a given blocklength with a…

Information Theory · Computer Science 2025-11-19 Chao Qi , Tobias Koch

In this paper we deal with a single-antenna discrete-time flat-fading channel. The fading process is assumed to be stationary for the duration of a single data block. From block to block the fading process is allowed to be non-stationary.…

Information Theory · Computer Science 2007-07-13 Thomas Zemen , Stefan M. Moser

Flat-fading channels that are correlated in time are considered under peak and average power constraints. For discrete-time channels, a new upper bound on the capacity per unit time is derived. A low SNR analysis of a full-scattering vector…

Information Theory · Computer Science 2007-07-13 Vignesh Sethuraman , Bruce Hajek

We analyze the asymptotic average and effective throughputs of a multiuser diversity scheme for a secondary multiuser network consisting of multiple secondary users (transmitters) and one secondary receiver. Considering a transmit power…

Information Theory · Computer Science 2018-06-29 Yazan H. Al-Badarneh , Costas N. Georghiades , Mohamed-Slim Alouini

Correlated scattering occurs naturally in frequency-selective fading channels and its impact on the performance needs to be understood. In particular, we answer the question whether the uncorrelated scattering model leads to an optimistic…

Information Theory · Computer Science 2009-01-19 Eduard Jorswieck , Martin Mittelbach