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Saturation Throughput Analysis of IEEE 802.11 in Presence of Non Ideal Transmission Channel and Capture Effects (0710.5236v1)

Published 27 Oct 2007 in cs.NI

Abstract: In this paper, we provide a saturation throughput analysis of the IEEE 802.11 protocol at the data link layer by including the impact of both transmission channel and capture effects in Rayleigh fading environment. Impacts of both non-ideal channel and capture effects, specially in an environment of high interference, become important in terms of the actual observed throughput. As far as the 4-way handshaking mechanism is concerned, we extend the multi-dimensional Markovian state transition model characterizing the behavior at the MAC layer by including transmission states that account for packet transmission failures due to errors caused by propagation through the channel. This way, any channel model characterizing the physical transmission medium can be accommodated, including AWGN and fading channels. We also extend the Markov model in order to consider the behavior of the contention window when employing the basic 2-way handshaking mechanism. Under the usual assumptions regarding the traffic generated per node and independence of packet collisions, we solve for the stationary probabilities of the Markov chain and develop expressions for the saturation throughput as a function of the number of terminals, packet sizes, raw channel error rates, capture probability, and other key system parameters. The theoretical derivations are then compared to simulation results confirming the effectiveness of the proposed models.

Citations (271)

Summary

  • The paper introduces an extended multi-dimensional Markov model that accounts for channel-induced errors and capture effects in IEEE 802.11 networks.
  • It integrates both 2-way and 4-way handshaking mechanisms to accurately compute collision probabilities and retransmission impacts.
  • Simulations validate the model, demonstrating its practical implications for optimizing WLAN throughput in non-ideal transmission environments.

Saturation Throughput Analysis of IEEE 802.11 with Non-Ideal Channel and Capture Effects

This paper offers an intricate analysis of the IEEE 802.11 protocol performance in saturated conditions, specifically addressing the influence of non-ideal transmission channels and capture effects. The authors generalized classical models by integrating real-world complications such as Rayleigh fading, which is a crucial facet of wireless transmission environments. A salient feature of this work is the extension of Bianchi's two-dimensional Markov model, which traditionally assumes ideal channels and absence of capture effects. This paper introduces a more comprehensive approach by incorporating channel-induced errors and capture phenomena in the modeling of the IEEE 802.11 MAC layer's Distributed Coordination Function (DCF).

Key Contributions and Methodology

The significant contributions lie in two major extensions:

  1. Multi-dimensional Markov Model Extension:
    • The original Markovian model is expanded to accommodate states that depict transmission failures due to channel errors. This allows for the inclusion of various channel models such as Additive White Gaussian Noise (AWGN) and fading channels within the analytical framework.
    • The authors enrich the model by considering both 4-way handshaking (RTS/CTS control frames) and basic 2-way handshaking mechanisms, integrating packet collision probabilities and contention windows transformations following unsuccessful transmission attempts.
  2. Capture Effects and Real-Channel Mitigation:
    • By adopting a detailed approach to capture probability, the analysis considers scenarios where a device captures the communications channel when transmitting concentrated signals in the presence of competing signals, providing a nuanced handling of collision events.
    • The models integrate fading considerations through Rayleigh distribution characteristics and their interplay with the signal-to-noise ratio (SNR), reflecting a practicable assessment of wireless environments with high multipath effects.

Theoretical and Simulation Assessments

The authors derive the saturation throughput as a function of system parameters such as packet size, the number of terminals, channel error rates, and capture probabilities. By solving a non-linear system of equations, they determine critical metrics like the probability of failed transmission attempts and the effectiveness of the protocols under distinct channel conditions.

In validating the models, a C++ based simulation is utilized. Simulations were conducted under various assumptions, including different SNR levels and capture thresholds, depicting how practical wireless deployments might experience these phenomenons. The comparison between theoretical projections and simulated outcomes confirms the models' validity, correlating well with known theoretical results in ideal conditions while showing divergence when capture and channel effects are pronounced.

Implications and Future Prospects

From a practical perspective, this research provides a refined understanding of the IEEE 802.11 protocol’s throughput limits under realistic channel conditions, which is instrumental for network engineers and systems designers in optimizing WLAN performance. The incorporation of capture effects in saturation throughput calculations presents potential avenues for improving adaptive algorithms in communication devices, aiming for enhanced robustness against interference and variable connectivity quality.

Theoretically, the paper expands the scope of classical throughput analysis by explicitly modeling more sophisticated interactions within the wireless medium. Future developmental prospects could involve extending the analytical approach to other variations and improvements in MAC protocols, including those defined in the IEEE 802.11e standard for quality-of-service-oriented WLANs.

Conclusion

This research advances the theoretical modeling of IEEE 802.11 networks by considering realistic channel effects, notably enhancing the predictive and practical utility of saturation throughput analyses. The insights drawn can lead to better-informed design choices in contemporary and future wireless networking environments, especially where network adaptability to non-ideal channel conditions is paramount. The rigorous mathematical groundwork laid for protocol assessment is a meaningful addition to the body of knowledge in wireless communications studies.