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Spectral efficiency for asynchronous code division multiple access (CDMA) with random spreading is calculated in the large system limit allowing for arbitrary chip waveforms and frequency-flat fading. Signal to interference and noise ratios…

Information Theory · Computer Science 2010-07-13 Laura Cottatellucci , Ralf R. Mueller , Merouane Debbah

Totally asynchronous code-division multiple-access (CDMA) systems are addressed. In Part I, the fundamental limits of asynchronous CDMA systems are analyzed in terms of spectral efficiency and SINR at the output of the optimum linear…

Information Theory · Computer Science 2010-07-13 Laura Cottatellucci , Ralf R. Mueller , Merouane Debbah

This paper studies randomly spread code-division multiple access (CDMA) and multiuser detection in the large-system limit using the replica method developed in statistical physics. Arbitrary input distributions and flat fading are…

Information Theory · Computer Science 2007-07-13 Dongning Guo , Sergio Verdu

We show that the empirical spectral distribution (ESD) of the sample autocovariance matrix (ACVM) converges as the dimension increases, when the time series is a linear process with reasonable restriction on the coefficients. The limit does…

Probability · Mathematics 2014-07-03 Anirban Basak , Arup Bose , Sanchayan Sen

This paper addresses the asymptotic behavior of a particular type of information-plus-noise-type matrices, where the column and row number of the matrices are large and of the same order, while signals are diverged and time delays of the…

Information Theory · Computer Science 2019-03-11 Guanping Lu , Jinsong Wu , Robert C. Qiu

Sample correlation matrices are employed ubiquitously in statistics. However, quite surprisingly, little is known about their asymptotic spectral properties for high-dimensional data, particularly beyond the case of "null models" for which…

Statistics Theory · Mathematics 2019-03-13 David Morales-Jimenez , Iain M. Johnstone , Matthew R. McKay , Jeha Yang

An asymptotic technique is presented to characterize the bits/symbol achievable on a representative wireless link in a spatially distributed network with active interferers at correlated positions, N receive diversity branches, and linear…

Information Theory · Computer Science 2013-12-30 Siddhartan Govindasamy

Synchronized measurements of a large power grid enable an unprecedented opportunity to study the spatialtemporal correlations. Statistical analytics for those massive datasets start with high-dimensional data matrices. Uncertainty is…

Applications · Statistics 2018-02-13 Zenan Ling , Robert C. Qiu , Xing He , Lei Chu

The autocorrelation function of spectral determinants (ASD) is used to characterize the discrete spectrum of a phase coherent quasi- 1- dimensional, disordered wire as a function of its length L in a finite, weak magnetic field. An…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Stefan Kettemann

Sparsely spread code division multiple access (SCDMA) is a non-orthogonal superposition coding scheme that permits a base station simultaneously communicates with multiple users over a common channel. The detection performance of an SCDMA…

Information Theory · Computer Science 2016-04-18 Guanghui Song , Xianbin Wang , Jun Cheng

In recent years, some spectrum sensing algorithms using multiple antennas, such as the eigenvalue based detection (EBD), have attracted a lot of attention. In this paper, we are interested in deriving the asymptotic distributions of the…

Information Theory · Computer Science 2016-11-15 Ying-Chang Liang , Guangming Pan , Yonghong Zeng

Differential distributed space-time coding (D-DSTC) technique has been considered for relay networks to provide both diversity gain and high throughput in the absence of channel state information. Conventional differential detection (CDD)…

Information Theory · Computer Science 2014-04-09 M. R. Avendi , Ha H. Nguyen , Nguyen Quoc-Tuan

We consider a multiple-input multiple-output (MIMO) multiple access channel (MAC), where the channel between each transmitter and the receiver is modeled by the doubly-scattering channel model. Based on novel techniques from random matrix…

Information Theory · Computer Science 2011-05-11 Jakob Hoydis , Romain Couillet , Merouane Debbah

Sparse Code Division Multiple Access (CDMA), a variation on the standard CDMA method in which the spreading (signature) matrix contains only a relatively small number of non-zero elements, is presented and analysed using methods of…

Information Theory · Computer Science 2009-11-13 Jack Raymond , David Saad

Over the last years, increasing evidence has fuelled the hypothesis that Autism Spectrum Disorder (ASD) is a condition of altered brain functional connectivity. The great majority of these empirical studies rely on functional magnetic…

Neurons and Cognition · Quantitative Biology 2010-08-02 Pablo Barttfeld , Bruno Wicker , Sebastián Cukier , Silvana Navarta , Sergio Lew , Mariano Sigman

In this paper, we describe direct-sequence code-division multiple-access (DS-CDMA) systems with quadriphase-shift keying in which channel estimation, coherent demodulation, and decoding are iteratively performed without the use of any…

Information Theory · Computer Science 2016-11-18 Don Torrieri , Amitav Mukherjee , Hyuck Kwon

This paper uses an incremental matrix expansion approach to derive asymptotic eigenvalue distributions (a.e.d.'s) of sums and products of large random matrices. We show that the result can be derived directly as a consequence of two common…

Information Theory · Computer Science 2007-07-13 Matthew J. M. Peacock , Iain B. Collings , Michael L. Honig

Code Division Multiple Access (CDMA) is a channel access method, based on spread-spectrum technology, used by various radio technologies world-wide. In general, CDMA is used as an access method in many mobile standards such as CDMA2000 and…

Information Theory · Computer Science 2016-01-18 Zaid Albataineh , Fathi M. Salem

The aim of this article is to establish asymptotic distributions and consistency of subsampling for spectral density and for magnitude of coherence for non-stationary, almost periodically correlated time series. We show the asymptotic…

Statistics Theory · Mathematics 2011-02-11 Łukasz Lenart

The direct-sequence code-division multiple access (DS-CDMA) cellular downlink is modeled by a constrained random spatial model involving a fixed number of base stations placed over a finite area with a minimum separation. The analysis is…

Information Theory · Computer Science 2012-10-16 Matthew C. Valenti , Don Torrieri , Salvatore Talarico
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