Ergodic Capacity Analysis of Amplify-and-Forward MIMO Dual-Hop Systems

Abstract

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 prior results, our expressions apply for arbitrary numbers of antennas and arbitrary relay configurations. We derive an expression for the exact ergodic capacity, simplified closed-form expressions for the high SNR regime, and tight closed-form upper and lower bounds. These results are made possible to employing recent tools from finite-dimensional random matrix theory to derive new closed-form expressions for various statistical properties of the equivalent AF MIMO dual-hop relay channel, such as the distribution of an unordered eigenvalue and certain random determinant properties. Based on the analytical capacity expressions, we investigate the impact of the system and channel characteristics, such as the antenna configuration and the relay power gain. We also demonstrate a number of interesting relationships between the dual-hop AF MIMO relay channel and conventional point-to-point MIMO channels in various asymptotic regimes.Comment: 40 pages, 9 figures, Submitted to to IEEE Transactions on Information Theor

Secure Multiple Amplify-and-Forward Relaying With Cochannel Interference

“…Relaying technique has attracted increasingly attention in the literature, since it extends the radio coverage and improves the system capacity, without raising the transmit power [8]- [11]. Hence, it is of vital importance to study the PLS in relay networks [12]- [15].…”

Capacity analysis of MIMO three product channels

“…Figure 4 gives the non-asymptotic, asymptotic and simulated ergodic capacity per antenna of the system defined in (2). The non-asymptotic and asymptotic analytical results are based on (9) and (27), respectively, and the results are given for the system configurations: (2, 2, 2), (4,4,4) and (6,6,6). Analytical and simulated ergodic capacity of the system with parameters: (1, 2, 3), (3,4,2), (1, 2, 1).…”

“…> λ s1 > 0 be the non-zero eigenvalues of W , then the conditional unordered eigenvalue p.d.f. f (λ|μ) for the case can be obtained from [6] …”

“…Wireless channels are modeled as MIMO product channels in MIMO multi-keyhole environments [1], [2], [3] and also in certain MIMO multi-hop relaying environments [4], [5], [6], [7]. In most of this work performance analysis has focused on two product channels of finite size.…”

“…The exact analysis builds on the approach in [6] while the large system approach requires an asymptotic eigenvalue analysis of MIMO product channels. In [11], [12], the arbitrary eigenvalue probability density function of a Wishart matrix is studied as the dimension of the matrix becomes large.…”