On the Flow-Level Delay of a Spatial Multiplexing MIMO Wireless Channel

The MIMO wireless channel offers a rich ground for quality of service analysis. In this work, we present a stochastic network calculus analysis of a MIMO system, operating in spatial multiplexing mode, using moment generating functions (MGF). We quantify the spatial multiplexing gain, achieved through multiple antennas, for flow level quality of service (QoS) performance. Specifically we use Gilbert-Elliot model to describe individual spatial paths between the antenna pairs and model the whole channel by an $N$-State Markov Chain, where $N$ depends upon the degrees of freedom available in the MIMO system. We derive probabilistic delay bounds for the system and show the impact of increasing the number of antennas on the delay bounds under various conditions, such as channel burstiness, signal strength and fading speed. Further we present results for multi-hop scenarios under statistical independence.

[1]  Rohit U. Nabar,et al.  Introduction to Space-Time Wireless Communications , 2003 .

[2]  Frank Kelly,et al.  Notes on effective bandwidths , 1994 .

[3]  Dapeng Wu,et al.  Effective capacity-based quality of service measures for wireless networks , 2004, First International Conference on Broadband Networks.

[4]  Rodney A. Kennedy,et al.  Finite-State Markov Modeling of Fading Channels , 2022 .

[5]  Cheng-Shang Chang,et al.  Performance guarantees in communication networks , 2000, Eur. Trans. Telecommun..

[6]  Yong Liu,et al.  Stochastic Network Calculus , 2008 .

[7]  M.E. Bialkowski,et al.  Investigations into MIMO capacity in a mixed LOS/NLOS environment , 2005, 2005 Asia-Pacific Microwave Conference Proceedings.

[8]  Emre Telatar,et al.  Capacity of Multi-antenna Gaussian Channels , 1999, Eur. Trans. Telecommun..

[9]  Markus Fidler,et al.  WLC15-2: A Network Calculus Approach to Probabilistic Quality of Service Analysis of Fading Channels , 2006, IEEE Globecom 2006.

[10]  Michele Zorzi,et al.  Lateness probability of a retransmission scheme for error control on a two-state Markov channel , 1999, IEEE Trans. Commun..

[11]  Jia Tang,et al.  Cross-layer modeling for quality of service guarantees over wireless links , 2007, IEEE Transactions on Wireless Communications.

[12]  Sergey Loyka,et al.  On physically-based normalization of MIMO channel matrices , 2009, IEEE Transactions on Wireless Communications.

[13]  Surinder Kumar,et al.  Characterization of effective bandwidth as a metric of quality of service for wired and wireless ATM networks , 1997, Proceedings of ICC'97 - International Conference on Communications.

[14]  San-qi Li,et al.  A wireless channel capacity model for quality of service , 2007, IEEE Transactions on Wireless Communications.

[15]  David Tse,et al.  Fundamentals of Wireless Communication , 2005 .

[16]  E. O. Elliott.  Estimates of error rates for codes on burst-noise channels , 1963 .

[17]  M. J. Gans,et al.  MIMO communications in ad hoc networks , 2006, IEEE Transactions on Signal Processing.

[18]  E. Gilbert.  Capacity of a burst-noise channel , 1960 .

[19]  P. Sadeghi,et al.  Finite-state Markov modeling of fading channels - a survey of principles and applications , 2008, IEEE Signal Processing Magazine.

[20]  Florin Ciucu,et al.  Scaling properties of statistical end-to-end bounds in the network calculus , 2006, IEEE Transactions on Information Theory.

[21]  M. J. Gans,et al.  On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas , 1998, Wirel. Pers. Commun..

[22]  Markus Fidler,et al.  An End-to-End Probabilistic Network Calculus with Moment Generating Functions , 2005, 200614th IEEE International Workshop on Quality of Service.

[23]  Giacomo Verticale.  A closed-form expression for queuing delay in Rayleigh fading channels using stochastic network calculus , 2009, Q2SWinet '09.

[24]  E. Biglieri,et al.  Limiting performance of block-fading channels with multiple antennas , 1999, Proceedings of the 1999 IEEE Information Theory and Communications Workshop (Cat. No. 99EX253).

[25]  Yuming Jiang,et al.  Analysis of Stochastic Service Guarantees in Communication Networks: A Server Model , 2005, IWQoS.

[26]  Markus Fidler,et al.  Survey of deterministic and stochastic service curve models in the network calculus , 2009, IEEE Communications Surveys & Tutorials.