Achieving QoS in Virtual MIMO systems: a satisfaction equilibrium analysis

Abstract

This paper presents a game theoretic framework to analyze a cellular-WLAN heterogeneous network from a virtual multiple-input multiple-output (VMIMO) perspective. Namely, we restrict to the uplink case and consider a non-cooperative game where each user seeks to meet some quality of service (QoS). Moreover, mobile users are allowed to re-inject, through their WLAN interfaces, a part of their throughput in the induced game. Thus, the interaction among users defines a distributed VMIMO with a possibly throughput exchange. This mechanism will help all users to meet their respective QoS expressed by the perceived average throughput. The average throughput is considered to be the utility function used in this framework. Now, each mobile user experiences a certain throughput composed of two parts: (1) the throughput received from cellular subsystem and (2) the throughput received from WLAN subsystem. Naturally, we use the concept of satisfaction equilibrium to predict the behavior of the network. Indeed, we provided a sufficient condition for the existence of such an equilibrium. Next, we prove the uniqueness of the equilibrium and compute it explicitly. Afterward, we propose a fully distributed algorithm inspired from the well-known Banach-Picard learning algorithm. Our scheme has many good features facilitating its implementation and usability. Indeed, it accurately converges to the equilibrium (if exists), it is very fast, and it requires no external information. Simulation results validate the algorithm and show its robustness and illustrate numerically the proposed learning scheme for quality-of-service management in such a heterogeneous network.

Network Scalability for Ultra‐Wideband Real‐Time Location Systems Based on vMISO

“…An optimization model has been developed to determine the number of cooperative nodes and the optimal number of hops for a given delay requirement [10]. A game theoretic framework has been presented to analyze a heterogeneous cellular wireless local area network (WLAN) from a vMISO perspective to meet quality of service (QoS) requirements [11]. A new multihop vMISO communication protocol was proposed using cross-layer design to jointly improve energy efficiency, reliability, and end-to-end (ETE) QoS provisioning in WSNs [9].…”