Asymptotic ergodic capacity analysis for MIMO amplify-and-forward relay networks (original) (raw)

Asymptotic analysis of ergodic capacity for amplify-and-forward MIMO relaying systems

2010

Abstract In this paper, we analyze asymptotic ergodic capacity of multiple-input multiple-output (MIMO) amplify-and-forward (AF) relaying systems with channel state information (CSI) at the relay. By exploiting the asymptotic results for eigenvalue distributions, we derive the ergodic capacity in various asymptotic antenna regimes as a closed-form expression with arbitrary system parameters.

Exact ergodic capacity of MIMO OSTBC amplify-and-forward relay network with antenna correlation

2013 IEEE International Conference on Communications (ICC), 2013

Antenna correlation is usually viewed as a detrimental effect in a multiple input multiple output (MIMO) system. This paper investigates how this affects the performance of an amplify-and-forward (AF) relay network. We consider multiple antennas at all nodes with a general correlation matrix structure having an arbitrary eigenvalue distribution. We derive exact closed form expression for the ergodic capacity and simplify to special case of distinct eigenvalues. Further, we investigate the system in high signal-to-noise ratio (SNR) and derive a simple asymptotic expression. Our results provide a comprehensive analysis and useful insight about the ergodic capacity of the system.

Ergodic Capacity Analysis of MIMO Relay Network over Rayleigh-Rician Channels

IEEE Communications Letters, 2015

We present an analytical characterization of the ergodic capacity for an amplify-and-forward (AF) multiple-input multiple-output (MIMO) relay network over asymmetric channels. In the two-hop system that we consider, the source-relay and relay-destination channels undergo Rayleigh and Rician fading, respectively. Considering arbitrary-rank means for the relaydestination channel, we first investigate the marginal distribution of an unordered eigenvalue of the cascaded AF channel, and we provide an analytical expression for the ergodic capacity of the system. The closed-form expressions that we derive are computationally efficient and validated by numerical simulation. Our results also show the impact of the signal-to-noise ratio and of the Rician factor on this asymmetric relay network.

Capacity analysis for MIMO two-hop two-relay amplify-and-forward relaying systems

2008

This paper presents an ergodic capacity analysis of an amplify-and-forward (AF) multiple-input, multiple-output (MIMO) two-hop, two relay system. We first derive an expression for the probability density function of an arbitrary eigenvalue of the system. Then, using this result, a closed form expression for the ergodic capacity of the system is derived. We present simulation results to validate our analysis. We also show that the results for a single relay system can be obtained as a special case.

Asymptotic Performance Analysis of a K-Hop Amplify-and-Forward Relay MIMO Channel

IEEE Transactions on Information Theory

The present paper studies the asymptotic performance of multi-hop amplify-and-forward relay multiple-antenna communication channels. Each multi-antenna terminal in the network amplifies the received signal, sent by a source, and retransmits it upstream towards a destination. Achievable ergodic rates under both jointly optimal detection and decoding and practical separate decoding schemes for arbitrary signaling schemes, along with the average bit error rate for various receiver structures are derived in the regime where the number of antennas at each terminal grows large without a bound. To overcome the difficulty of averaging over channel realizations we apply large-system analysis based on the replica method from statistical physics. The validity of the large-system analysis is further verified through Monte Carlo simulations of realistic finite-sized systems.

Ergodic capacity of MIMO channels with statistical channel state information at the transmitter

2004

It is well known that with the availability of statistical channel state information at the transmitter, the capacity-achieving transmission strategy is transmission on the long-term eigen-modes of the transmit correlation matrix with adequate power allocation. However, the optimum power allocation strategy is not known in general. Using recent analytical results on mean mutual information of MIMO channels with transmit as well as receive correlation, We study the behavior of the capacity-achieving power allocation strategy. To this end, we also make use of asymptotical results for a large number of transmit or receive antennas and the high as well as low SNR regime, which in certain cases allows for a closed-form analysis. Furthermore, we investigate two low complexity power allocation schemes, which are based on certain upper bounds on mean mutual information.

Ergodic capacity analysis of cooperative amplify-and-forward relay networks over generalized fading channels

This paper presents two new methods for evaluating the ergodic channel capacities of cooperative non-regenerative multirelay networks in a myriad of fading environments and under three distinct source-adaptive transmission policies: (i) optimal rate adaptation with a fixed transmit power; (ii) optimal joint power-and-rate adaptation; and (iii) truncated channel inversion with fixed rate. In contrast to the previous related works, our proposed unified analytical frameworks that are based on the moment generating function and/or the cumulative distribution function of end-to-end signal-to-noise ratio allow us to gain insights into how power assignment during different transmission phases, relay node placement, fade distributions, and dissimilar fading statistics across the distinct communication links impact the ergodic capacity, without imposing any restrictions on the channel fading parameters. KEYWORDS cooperative diversity; wireless link adaptation; ergodic channel capacity; generalized fading environment; optimal power allocation and relay node placement

PERFORMANCE COPARISON OF ERGODIC CAPACITY FOR MIMO

Multiple - Input Multiple - Output (MIMO) technology is a wireless technology that uses multiple transmitters and receivers to transfer more data at the same time. Spatial Modulation is one of the techniques that can significantly increase the capacity of MIMO channel by increasing the number of transmit antennas. This paper studies the ergodic capacity of the MIMO systems and feedback based communication with multiple antennas, such as the transmit diversity, the receive diversity, the Maximum Ratio Combining in a Rayleigh channel. In the basic form of Spatia l Modulation, only one out of N t and N r available antennas is selected for transmission and receiver in any given symbol interval. This paper proposes to use more than one active antenna to transmit and rec eive several symbols simultaneously. This would increase the spectral efficiency and decreases BER (bit error rate) at the receiver.

A New Lower Bound on the Ergodic Capacity of Distributed MIMO Systems

IEEE Signal Processing Letters, 2000

We present a novel and analytical lower bound on the ergodic capacity of distributed multiple-input multiple-output (D-MIMO) systems operating in composite Rayleigh/lognormal (RLN) fading and assuming double-sided spatial correlation. The proposed lower bound is applicable for finite number of antennas and remains tight across the entire Signal-to-Noise (SNR) regime. In addition, we perform a detailed low-SNR analysis that provides useful insights into the implications of the system parameters on MIMO capacity.

Generic Ergodic Capacity Bounds for Fixed-Gain AF Dual-Hop Relaying Systems

IEEE Transactions on Vehicular Technology, 2000

This paper elaborates on the ergodic capacity of fixed-gain amplify-and-forward (AF) dual-hop systems, which have recently attracted considerable research and industry interest. In particular, two novel capacity bounds that allow for fast and efficient computation and apply for nonidentically distributed hops are derived. More importantly, they are generic since they apply to a wide range of popular fading channel models. Specifically, the proposed upper bound applies to Nakagami-m, Weibull, and generalized-K fading channels, whereas the proposed lower bound is more general and applies to Rician fading channels.