A Power Scaling Analysis of Norm-Based Antenna Selection Techniques

Abstract

Abstract-In this paper we consider transmit and receive selection methods designed to achieve high channel capacities in a single-user MIMO link. A variety of radio channels are considered, including i.i.d. Rayleigh, correlated Rayleigh and Ricean fading environments. Also considered is the presence of imperfect channel state information (CSI) and a simplified waterfilling scheme. In all cases, we evaluate the performance of optimal selection, simple norm-based selection and other benchmark selection techniques. The major contribution is a general approach to analyzing the capacity of the norm-based selection schemes via a simple power scaling factor. We are able to assess the impact of different channels, imperfect CSI and power allocation using this power scaling factor. Furthermore, the analysis is valid for all scenarios: transmit selection, receive selection and joint transmit-receive selection. Results are shown which compare the capacity performance over a wide range of cases. A notable conclusion is that optimal selection, which is computationally intensive, is outperformed at low signal-to-noiseratios by the simple norm-based approach with power allocation.

On MIMO Cognitive Radios with Antenna Selection

“…Also, the approach cannot be used with a full Q CR matrix or in the presence of interference. To overcome these problems, we propose a heuristic involving norm-based transmit and receive antenna selection [6]- [8]. Norm based selection for i.i.d.…”

Reduced Switching Connectivity for Large Scale Antenna Selection

“…IV reduces the insertion loss introduced by the switching matrix at the expense of limiting the number of number of antenna combinations that can be simultaneously selected, which entails a loss in performance. In this section, we characterize this loss by following the intuitive approach adopted in [40] for power-based AS. The reasons for focusing on the simpler power-based AS are twofold: a) its reduced CSI acquisition time as detailed in Sec.…”

“…The analysis developed in [40] essentially relies on approximating H [M] in (2) by a matrix V ∈ C K×M with entries following an identical distribution but with each column having different variances, i.e.…”

MIMO Cognitive Radios with Antenna Selection

“…The heuristic is an extension of the simple norm-based criteria [6]- [8] with interference constraints added. We stress that the per antenna power-constraint is not real but is used to avoid any iteration over antenna power allocation.…”

“…It is well known that antenna selection techniques present an elegant solution to such problems, see, for example, [6]- [8] and the references therein. Recent work in this area includes [9] where transmit antenna selection was considered for a multiple input single output (MISO) CR operating in the presence of a single input single output (SISO) PU.…”