Characterization of effective capacity in antenna selection MIMO systems

Abstract

In this paper, the effective capacity of a multiple-input multiple-output (MIMO) system in two different cases with receive antenna selection (RAS) and transmit antenna selection (TAS) schemes is investigated. A closed-form solution for the maximum constant arrival rate of this network with statistical delay quality of service (QoS) constraint is extracted in the quasi-static fading channel. This study is conducted in two different cases. When channel state information (CSI) is not available at the MIMO transmitter, implementation of TAS is difficult. Therefore, RAS scheme is employed and one antenna with the maximum instantaneous signal to noise ratio is chosen at the receiver. On the other hand, when CSI is available at the transmitter, TAS scheme is executed. In this case, one antenna is selected at the transmitter. Moreover, an optimal power-control policy is applied to the selected antenna and the effective capacity of the MIMO system is derived. Finally, this optimal power adaptation and the effective capacity are investigated in two asymptotic cases with the loose and strict QoS requirements. In particular, we show that in the TAS scheme with the loose QoS restriction, the effective capacity converges to the ergodic capacity. Then, an exact closed-form solution is obtained for the ergodic capacity of the channel here.

Antenna Selection Strategies for MIMO-OFDM Wireless Systems: An Energy Efficiency Perspective

“…It is hard to obtain a closed-form solution for (45). However, numerical methods can be used to obtain the optimal power value * t P .…”

Energy efficiency analysis of antenna selection multi‐input multi‐output automatic repeat request systems over Nakagami‐mfading channels

“…1/2!, …, 1/(m − 1)!] and ω q = ω q −1 ⊗ω 1 , where ⊗ denotes a discrete convolution [34], we can rewrite (21) as (see (22)) where, in the last equality, we use the integral of The second integral in (20) can be expressed as p AS (l, g) dl dg (23) where the first term in the second equality is evaluated based on the fact that 1 0 p AS (l, g) dg = 1. By performing similar calculations as done to obtain (22), we can express the inner integral in the second term in (23) as follows (cf.…”

“…As f ( g) is increasing, it is readily from (31) that the range of f ( g) is also [0,1). (4) ('Eventually concavity') The second-order derivative of f ( g) is calculated as (34) Recall that g ′′ ( g) , 0 when g . g 0 , and the range of g( g) is the interval [0,1).…”

Effective capacity of receive antenna selection MIMO–OSTBC systems in co-channel interference

“…The authors assume a Gaussian distribution for the accumulated service rate of the channel, which leads to a solution for the effective capacity of the channels. Following these basic researches, the effective capacity has been conducted in various communication links such as rate and power adoption in single-input single-output (SISO) and multiple-input multiple-output (MIMO) systems [5]- [6], antenna selection (AS) MIMO systems [7]- [8] and cooperative and cognitive radio channels in [9]- [10].…”