Abstract
Traditional wireless communications only utilize fixed-rate multicast and broadcast. In other words, only the most robust modulation and coding scheme can be applied for data transmission. Such a scheme fails to sufficiently exploit the potential gains of multicast and broadcast, resulting in bandwidth waste. To overcome such a problem, investigating the rate adaptation of multicast and broadcast wireless systems is the primary task. Unlike the traditional wireless systems, this paper presents an analytical model with rate adaptation for both multicast and broadcast. Adaptive modulation and coding are applied to achieve rate adaptation. We construct a stochastic model by using Finite State Markov chains for the multicast broadcast system modeling. The model’s outputs are shown to approximate to the results of our system level simulations. The model derives the performance of rate adaptation in multicast and broadcast. With the deduced modeling results, we can predict the system throughput providing the channel states, and the modulation and coding schemes variations.
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This work was supported by National Science Council, National Taiwan University and Intel Corporation under Grants NSC99‐2911‐I‐002‐001, 99R70600, and 10R70500.
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Appendix
Appendix
\(Pr\{N(c_{tx}^d)=n_0\mid s^d = c_{tx}^d\}\) and the corresponding average packet throughput with different n0.
This "Appendix" provides the deduction of Eq. 36, we list every term in Table 4. Besides, we use Lemma 1 in each row. At a first glance, this method seems very brutal. However, making use of the symmetry in the expression will simplify the calculation dramatically. After summing these terms up, we can obtain \(E\left[\gamma^{d+1}_{tx}\mid s^d = c_{tx}^d\right],\, E\left[\gamma^{d+1}_{rx}\mid s^d = c_{tx}^d\right]\), and \(E\left[\gamma^{d+1}_{err}\mid s^d = c_{tx}^d\right]\). They are the number of transmitted, successfully received, and erroneous packets at the BS.
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Liang, YC., Chou, CC. & Wei, HY. Modeling and analysis of applying adaptive modulation coding in wireless multicast and broadcast systems. Wireless Netw 17, 1373–1386 (2011). https://doi.org/10.1007/s11276-011-0354-7
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DOI: https://doi.org/10.1007/s11276-011-0354-7