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Performance Evaluation
Volume 55, Issues 1-2, January 2004, Pages 165-181
Internet Performance Symposium (IPS 2002)
 
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doi:10.1016/S0166-5316(03)00104-4    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2003 Elsevier B.V. All rights reserved.

Modeling frame-level errors in GSM wireless channels

Ping JiCorresponding Author Contact Information, E-mail The Corresponding Author, Benyuan LiuE-mail The Corresponding Author, Don TowsleyE-mail The Corresponding Author, Zihui GeE-mail The Corresponding Author and Jim KuroseE-mail The Corresponding Author

University of Massachusetts, Computer Science Building, 140 Governors Drive, Amherst, MA 01003, USA

Available online 14 August 2003.

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Abstract

We compare four different approaches to modeling frame-level errors in GSM channels. One of these, the Markov-based Trace Analysis (MTA) model, was developed explicitly for this purpose. The next two, kth-order Markov models and hidden Markov models (HMMs), have been widely used to model loss in wired networks. All three of these have difficulty in modeling empirical GSM frame-level error traces. The MTA model and HMM predict frame-error rates substantially different from that measured from the trace, and all three models have difficulty in capturing the long term temporal correlation structure. We propose a fourth model, the extended On/Off model, which alternates between an On (error-free) and an Off (error-filled) state. The state holding times are taken from mixtures of geometric distributions. We show that this model, with mixtures of 4–7 geometric distributions captures first- and second-order statistics significantly better than the preceding three approaches.

Author Keywords: Markov-based Trace Analysis; On/Off model; Frame-level errors

Article Outline

1. Introduction
2. Modeling GSM channels
2.1. Stationarity test
2.2. Examine the first- and second-order statistics of GSM trace
3. Three models for predicting frame-error performance measures
3.1. kth-order Markov model
3.2. MTA model
3.3. Hidden Markov models
4. Deriving the performance metrics from a Markov model
5. The extended On/Off model
5.1. Cross-correlation of the error and error-free bursts
5.2. Fitting mixture geometric distributions to the On and Off-period
5.3. Using EM algorithm to estimate model parameters
6. Evaluation results of the extended On/Off model
7. Conclusion
References















Performance Evaluation
Volume 55, Issues 1-2, January 2004, Pages 165-181
Internet Performance Symposium (IPS 2002)
 
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