Cross-layer design of multiple antenna multicast combining AMC with truncated HARQ


Combining adaptive modulation and coding with truncated hybrid automatic request, this paper presents a cross-layer design for multiple antenna multicast over a common radio channel. In the design, the modulation and coding scheme of a multicast packet is selected based on the minimum signal-to-noise ratio (SNR) in the multicast group in such a way that the constraint on the packet loss rate is satisfied for all users in the group. A general expression for the throughput of the proposed design is derived in frequency-flat fading channel environment and specific results in Rayleigh, Nakagami, and Rician fading channels are provided. It is shown that the proposed multicast design provides a significant throughput gain compared to the unicast counterpart, in particular, in the mid- to high SNR region. It is also shown that a larger value of the diversity order, Nakagami parameter, and Rician factor is more beneficial to multicast than to unicast.

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  1. 1.

    In the method, each user of the group generates a CQI packet containing its SNR and sets the back-off timer of the CQI packet proportional to the SNR for a contention-based access. Then, the worst conditioned user with the minimum SNR can transmit the CQI packet the fastest and the other users sensing the CQI packet transmitted by the worst conditioned user do not transmit their CQI packet any more. Therefore, much of wireless resources can be saved by allowing only one user in the worst condition, instead of all users in the group, to transmit the CQI packet.

  2. 2.

    In the unicast counterpart, a separate link is assigned to each user in a time division multiplexing manner: specifically, the data packet is transmitted opportunistically to the user with maximum SNR [29-31] via AMC designed with type-II HARQ for a single user.

  3. 3.

    In practice, it is common that a BS is equipped with two transmit antennas (n t  = 2) and a user is normally equipped with one receive antenna (n r  = 1).


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The authors would like to thank the Associate Editor and anonymous reviewers for their constructive suggestions and helpful comments.

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Corresponding author

Correspondence to Yun Hee Kim.

Additional information

This work was supported by the IT R&D program of MKE/KEIT [KI001814, Game Theoretic Approach for Cross-layer Design in Wireless Communications] and by the National Research Foundation of Korea, with funding from the Ministry of Education, Science, and Technology, under Grant KRF-2008-314-D00311.

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Do, T.T., Park, J.C., Song, I. et al. Cross-layer design of multiple antenna multicast combining AMC with truncated HARQ. Ann. Telecommun. 65, 803–815 (2010).

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  • Wireless multicast
  • Cross-layer design
  • AMC
  • Truncated HARQ
  • SNR threshold