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In this paper, a deterministic equivalent of ergodic sum rate and an algorithm for evaluating the capacity-achieving input covariance matrices for the uplink large-scale multiple-input multiple-output (MIMO) antenna channels are proposed.…

Information Theory · Computer Science 2016-11-18 Jun Zhang , Chao-Kai Wen , Shi Jin , Xiqi Gao , Kai-Kit Wong

Large dimensional random matrix theory (RMT) has provided an efficient analytical tool to understand multiple-input multiple-output (MIMO) channels and to aid the design of MIMO wireless communication systems. However, previous studies…

Information Theory · Computer Science 2011-08-23 Chao-Kai Wen , Guangming Pan , Kai-Kit Wong , Mei-Hui Guo , Jung-Chieh Chen

In this paper, a free deterministic equivalent is proposed for the capacity analysis of the multi-input multi-output (MIMO) multiple access channel (MAC) with a more general channel model compared to previous works. Specifically, a MIMO MAC…

Information Theory · Computer Science 2018-10-09 An-An Lu , Xiqi Gao , Chengshan Xiao

Consider a random non-centered multiple antenna radio transmission channel. Assume that the deterministic part of the channel is itself frequency selective, and that the random multipath part is represented by an ergodic stationary vector…

Information Theory · Computer Science 2015-04-06 Walid Hachem , Aris Moustakas , Leonid Pastur

In this work, we study the performance of random isometric precoders over quasi-static and correlated fading channels. We derive deterministic approximations of the mutual information and the signal-to-interference-plus-noise ratio (SINR)…

Information Theory · Computer Science 2016-11-18 Romain Couillet , Jakob Hoydis , Merouane Debbah

In this article, we introduce iterative deterministic equivalents as a novel technique for the performance analysis of communication systems whose channels are modeled by complex combinations of independent random matrices. This technique…

Information Theory · Computer Science 2011-12-20 Jakob Hoydis , Romain Couillet , Merouane Debbah

We investigate MIMO eigenmode transmission using statistical channel state information at the transmitter. We consider a general jointly-correlated MIMO channel model, which does not require separable spatial correlations at the transmitter…

Information Theory · Computer Science 2016-11-17 Xiqi Gao , Bin Jiang , Xiao Li , Alex B. Gershman , Matthew R. McKay

We study the Conjugate Kernel associated to a multi-layer linear-width feed-forward neural network with random weights, biases and data. We show that the empirical spectral distribution of the Conjugate Kernel converges to a deterministic…

Probability · Mathematics 2023-06-12 Clément Chouard

Presence of multiple antennas on both sides of a communication channel promises significant improvements in system throughput and power efficiency. In effect, a new class of large multiple-input multiple-output (MIMO) communication systems…

Information Theory · Computer Science 2014-01-28 Maksym A. Girnyk , Mikko Vehkaperä , Lars K. Rasmussen

A new stochastic order between two fading distributions is introduced. A fading channel dominates another in the ergodic capacity ordering sense, if the Shannon transform of the first is greater than that of the second at all values of…

Information Theory · Computer Science 2016-11-15 Adithya Rajan , Cihan Tepedelenlioglu

With the growth of wireless networks, security has become a fundamental issue in wireless communications due to the broadcast nature of these networks. In this work, we consider MIMO wiretap channels in a fast fading environment, for which…

Information Theory · Computer Science 2014-11-04 Maksym A. Girnyk , Frédéric Gabry , Mikko Vehkaperä , Lars K. Rasmussen , Mikael Skoglund

A well-known lower bound widely used in the massive MIMO literature hinges on channel hardening, i.e., the phenomenon for which, thanks to the large number of antennas, the effective channel coefficients resulting from beamforming tend to…

Information Theory · Computer Science 2017-10-27 Giuseppe Caire

In this paper, we derive Gallager's random coding error exponent for multiple-input multiple-output (MIMO) channels, assuming no channel-state information (CSI) at the transmitter and perfect CSI at the receiver. This measure gives insight…

Information Theory · Computer Science 2007-07-13 Hyundong Shin , Moe Z. Win

This paper presents an analytical characterization of the ergodic capacity of amplify-and-forward (AF) MIMO dual-hop relay channels, assuming that the channel state information is available at the destination terminal only. In contrast to…

Information Theory · Computer Science 2016-11-17 Shi Jin , Matthew R. McKay , Caijun Zhong , Kai-Kit Wong

For ergodic fading, a lattice coding and decoding strategy is proposed and its performance is analyzed for the single-input single-output (SISO) and multiple-input multiple-output (MIMO) point-to-point channel as well as the multiple-access…

Information Theory · Computer Science 2017-02-28 Ahmed Hindy , Aria Nosratinia

In this paper, we present an analytical lower bound on the ergodic capacity of optical multiple-input multiple-output (MIMO) channels. It turns out that the optical MIMO channel matrix which couples the mt inputs (modes/cores) into mr…

Information Theory · Computer Science 2017-02-01 Rémi Bonnefoi , Amor Nafkha

Shannon's mutual information of a random multiple antenna and multipath channel is studied in the general case where the channel impulse response is an ergodic and stationary process which is assumed to be available at the receiver. From…

Information Theory · Computer Science 2019-05-09 Walid Hachem , Adrien Hardy , Shlomo Shamai

This paper considers a multiuser massive multiple-input multiple-output uplink with the help of an analog amplify-and-forward relay. The base station equips a large array of $N_d$ antennas but is supported by a far smaller number of…

Information Theory · Computer Science 2020-06-01 Jindan Xu , Yucheng Wang , Wei Xu , Shi Jin , Hong Shen , Xiaohu You

The focus of this paper is on spatial precoding in correlated multi-antenna channels, where the number of independent data-streams is adapted to trade-off the data-rate with the transmitter complexity. Towards the goal of a low-complexity…

Information Theory · Computer Science 2009-09-29 Vasanthan Raghavan , Akbar Sayeed , Venu Veeravalli

The use of multi-antenna arrays in both transmission and reception has been shown to dramatically increase the throughput of wireless communication systems. As a result there has been considerable interest in characterizing the ergodic…

Information Theory · Computer Science 2007-07-16 Aris L. Moustakas , Steven H. Simon
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