Abstract

In this paper, we investigate the per-tier outage probability of multiuser multiple-input multiple-output (MU-MIMO) transmissions in heterogeneous networks (HetNets) with joint interference constraint. In the tier of cellular cell, user equipment (UE) is required to report measured channel information and the base station (BS) adopts ZF-based precoding MU-MIMO transmission to achieve multiuser diversity gain. With the constraint of cross-tier interference and unpredicted inter-beam interference, we derive the closed-form expression of outage probability of downlink MU-MIMO transmissions. Considering the capacity of nodes in the tier of ad hoc networks, a max-SINR scheduler and codebook-based MU-MIMO transmission are employed. The scheduler selects the best receiving nodes for each beam in predefined codebook according to measured signal to interference plus noise ratio (SINR), and the transmitting node performs data transmissions using orthogonal beams. In the presence of inter-node interference, inter-beam interference, and cross-tier interference, we obtain the closed-form expression of outage probability of MU-MIMO transmissions when downlink or uplink transmissions occur in cellular cell. Additionally, in case that the outage probability in ad hoc networks should satisfy quality of service (QoS) requirement, a restricted area in cellular cell in which the outage probability in ad hoc networks is not greater than a required threshold is explored. Numerical results show that the unpredictable inter-beam interference in cellular cell degrades the outage probability slightly. The restricted area increases with the outage probability threshold.

Highlights

  • Wireless ad hoc network is an autonomous network consisting of a collection of peer nodes equipped with wireless transceiver. e nodes communicate with each other directly or by multihop link with the help of intermediate nodes

  • Our main contributions are given as follows: (i) We adopt different multiuser multiple-input multiple-output (MU-MIMO) transmission models in cellular cell and ad hoc networks according to the capacity of equipment and the complexity of network structure. e models have different complexities and transmission performances

  • (iii) We explore the restricted area in cellular cell in which the outage probability of the MU-MIMO transmissions in ad hoc networks could not satisfy quality of service (QoS) requirements

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Summary

Introduction

Wireless ad hoc network is an autonomous network consisting of a collection of peer nodes equipped with wireless transceiver. e nodes communicate with each other directly or by multihop link with the help of intermediate nodes. In case of perfect channel state information (CSI), the beams for each receiver keep orthogonal in data transmission phase. Since the max-SINR scheduler does not need perfect CSI, the beam for a selected receiver may mismatch with its forward channel in data transmission phase. Motivated by the discussion above, in the paper, we evaluate per-tier outage probability performance of MUMIMO transmissions with joint interference constraint in HetNets. (i) We adopt different MU-MIMO transmission models in cellular cell and ad hoc networks according to the capacity of equipment and the complexity of network structure. (iii) We explore the restricted area in cellular cell in which the outage probability of the MU-MIMO transmissions in ad hoc networks could not satisfy QoS requirements.

System Model
Per-Tier Outage Probability Evaluation
Restricted Area in Cellular Cell
Numerical Results
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